Generator ranges of MOS: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
Below are ranges of generators for various L-s patterns of [[MOS scale]]s, with the number of steps in the scale from 2 to 29. The ranges are given in fractions of the interval of equivalence, which is normally an octave. The tables give the range of bright generators in the second column, normalized so that the lower end of the range is where L/s = 1 (Nedo). The third column gives the boundaries of propriety, maximum expressiveness and diatonicity (i.e. best, better and good behavior). Finally, the fourth column gives the formula for the size of the chroma. We have normalized to the formula for the step size where the leading term is positive.
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:diagonalia|diagonalia]] and made on <tt>2017-01-01 20:02:40 UTC</tt>.<br>
: The original revision id was <tt>602950214</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">Below are ranges of generators for various L-s patterns of MOS, with the number of steps in the scale from 2 to 29. The ranges are given in fractions of the interval of equivalence, which is normally an octave. The tables give the range of possible generators in the second column, normalized so that the lower end of the range is where L/s = 1 (Nedo). The third column gives the midpoint of the range. Finally, the fourth column gives the boundaries of propriety, maximum expressiveness and diatonicity.


If the number of the [[@Interval class|generic interval]] to which the generator g belongs is C, and there are N scale steps to the interval of equivalence, then the average the size of an interval in class C is C/N. We have normalized so that C/N is the lower bound of the range of generators; since therefore g &gt; C/N, g is larger than average and hence is the larger of the two sizes of intervals in its class, which means we have normalized to the [[@Modal UDP Notation|chroma-positive]] generator. We have normalized to the formula fir the step size where the leading term is positive.
== 2, 3, and 4-tone ==
'''Note 1: These sets are given for the sake of completeness as they are not really scales'''


=2, 3, 4=
'''Note 2: monosmall patterns are italicized from here below as the boundary of propriety does not apply to them'''
**Note: These sets are given for the sake of completeness as they are not really scales**
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L1s || 1\2 &lt; g &lt; 1 || g = 3\4 || g = 2\3, 3\4, 4\5 || g || 1-g ||
|| 1L2s || 2\3 &lt; g &lt; 1 || g = 5\6 || g = 3\4, 4\5, 5\6 || 2g-1 || 1-g ||
|| 2L1s || 1\3 &lt; g &lt; 1\2 || g = 5\12 || g = 2\5, 3\7, 4\9 || g || 1-2g ||
|| 1L3s || 3\4 &lt; g &lt; 1 || g = 7\8 || g = 4\5, 5\6, 6\7 || 3g-2 || 1-g ||
|| 2L2s || 1\4 &lt; g &lt; 1\2 || g = 3\8 || g = 2\6, 3\8, 4\10 || g || 1\2-g ||
|| 3L1s || 1\4 &lt; g &lt; 1\3 || g = 7\24 || g = 2\7, 3\10, 4\13 || g || 1-3g ||


=5=
{| class="wikitable"
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|-
|| 1L4s || 4\5 &lt; g &lt; 1 || g = 9\10 || g = 5\6, 6\7, 7\8 || 4g-3 || 1-g ||
! | L-s pattern
|| 2L3s || 2\5 &lt; g &lt; 1\2 || g = 9\20 || g = 3\7, 4\9, 5\11 || 3g-1 || 1-2g ||
! | Generator range
|| 3L2s || 3\5 &lt; g &lt; 2\3 || g = 19\30 || g = 5\8, 7\11, 9\14 || 2g-1 || 2-3g ||
! | Boundaries of best, better, good behavior
|| 4L1s || 1\5 &lt; g &lt; 1\4 || g = 9\40 || g = 2\9, 3\13, 4\17 || g || 1-4g ||
! | Large step-Small step
|-
| | [[1L 1s|''1L 1s'']]
| | ''1\2 &lt; g &lt; 1''
| | ''g = 2\3, 3\4, 4\5-5\6''
| | ''g-(1-g) = 2g-1''
|-
| | [[1L 2s]]
| | 2\3 &lt; g &lt; 1
| | g = 3\4, 4\5, 5\6-6\7
| | 2g-1-(1-g) = 3g-2
|-
| | [[2L 1s|''2L 1s'']]
| | ''1\3 &lt; g &lt; 1\2''
| | ''g = 2\5, 3\7, 4\9-5\11''
| | ''g-(1-2g)= 3g-1''
|-
| | [[1L 3s]]
| | 3\4 &lt; g &lt; 1
| | g = 4\5, 5\6, 6\7-7\8
| | 3g-2-(1-g) = 4g-3
|-
| | [[2L 2s|''2L 2s'']] ''= 1L 1s (2)''
| | ''1\4 &lt; g &lt; 1\2''
| | ''g = 2\6, 3\8, 4\10-5\12''
| | ''g-(1\2-g) = 2g-1\2''
|-
| | [[3L 1s|''3L 1s'']]
| | ''1\4 &lt; g &lt; 1\3''
| | ''g = 2\7, 3\10, 4\13-5\16''
| | ''g-(1-3g) = 4g-1''
|}


=6=  
== 5-tone ==
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
'''Note: italicized generators from here below generate scales which are weakly tonal'''
|| 1L5s || 5\6 &lt; g &lt; 1 || g = 11\12 || g = 6\7, 7\8, 8\9 || 5g-4 || 1-g ||
{| class="wikitable"
|| 2L4s || 2\6 &lt; g &lt; 1\2 || g = 5\12 || g = 3\8, 4\10, 5\12 || 2g-1\2 || 1\2-g ||
|-
|| 3L3s || 1\6 &lt; g &lt; 1\3 || g = 3\12 || g = 2\9, 3\12, 4\15 || g || 1\3-g ||
! | L-s pattern
|| 4L2s || 1\6 &lt; g &lt; 1\4 || g = 5\24 || g = 2\10, 3\14, 4\18 || g || 1\2-2g ||
! | Generator range
|| 5L1s || 1\6 &lt; g &lt; 1\5 || g = 11\60 || g = 2\11, 3\16, 4\21 || g || 1-5g ||
! | Boundaries of best, better, good behavior
! | Large step-Small step
|-
| | [[1L 4s]]
| | 4\5 &lt; g &lt; 1
| | g = 5\6, 6\7, 7\8-8\9
| | 4g-3-(1-g) = 5g-4
|-
| | [[2L 3s]]
| | 2\5 &lt; g &lt; 1\2
| | g = 3\7, 4\9, 5\11-6\13
| | 3g-1-(1-2g) = 5g-2
|-
| | [[3L 2s]]
| | 3\5 &lt; g &lt; 2\3
| | g = 5\8, 7\11, 9\14-11\17
| | 2g-1-(2-3g) = 5g-3
|-
| | [[4L 1s|''4L 1s'']]
| | ''1\5 &lt; g &lt; 1\4''
| | ''g = 2\9, 3\13, 4\17-5\21''
| | ''g-(1-4g) = 5g-1''
|}


=7=  
== 6-tone ==
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L6s || 6\7 &lt; g &lt; 1 || g = 13\14 || g = 7\8, 8\9, 9\10 || 6g-5 || 1-g ||
|-
|| 2L5s || 3\7 &lt; g &lt; 1\2 || g = 13\28 || g = 4\9, 5\11, 6\13 || 5g-2 || 1-2g ||
! | L-s pattern
|| 3L4s || 2\7 &lt; g &lt; 1\3 || g = 13\42 || g = 3\10, 4\13, 5\16 || 4g-1 || 1-3g ||
! | Generator range
|| 4L3s || 5\7 &lt; g &lt; 3\4 || g = 41\56 || g = 8\11, 11\15, 14\19 || 3g-2 || 3-4g ||
! | Boundaries of best, better, good behavior
|| 5L2s || 4\7 &lt; g &lt; 3\5 || g = 41\70 || g = 7\12, 10\17, 13\22 || 2g-1 || 3-5g ||
! | Large step-Small step
|| 6L1s || 1\7 &lt; g &lt; 1\6 || g = 13\84 || g = 2\13, 3\19, 4\25 || g || 1-6g ||
|-
| | [[1L 5s]]
| | 5\6 &lt; g &lt; 1
| | g = ''6\7'', 7\8, 8\9-9\10
| | 5g-4-(1-g) = 6g-5
|-
| | [[2L 4s]]
| | 2\6 &lt; g &lt; 1\2
| | g = 3\8, 4\10, 5\12-6\14
| | 2g-1\2-(1\2-g) = 3g-1
|-
| | [[3L 3s|''3L 3s'']] ''= 1L 1s (3)''
| | ''1\6 &lt; g &lt; 1\3''
| | ''g = 2\9, 3\12, 4\15-5\18''
| | ''g-(1\3-g) = 2g-1\3''
|-
| | [[4L 2s|''4L 2s'']] ''= 2L 1s (2)''
| | ''1\6 &lt; g &lt; 1\4''
| | ''g = 2\10, 3\14, 4\18-5\22''
| | ''g-(1\2-2g) = 3g-1\2''
|-
| | [[5L 1s|''5L 1s'']]
| | ''1\6 &lt; g &lt; 1\5''
| | ''g = 2\11, 3\16, 4\21-5\26''
| | ''g-(1-5g) = 6g-1''
|}


=8=  
== 7-tone ==
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L7s || 7\8 &lt; g &lt; 1 || g = 15\16 || g = 8\9, 9\10, 10\11 || 7g-6 || 1-g ||
|-
|| 2L6s || 3\8 &lt; g &lt; 1\2 || g = 7\16 || g = 4\10, 5\12, 6\14 || 3g-1 || 1\2-g ||
! | L-s pattern
|| 3L5s || 5\8 &lt; g &lt; 2\3 || g = 31\48 || g = 7\11, 9\14, 11\17 || 5g-3 || 2-3g ||
! | Generator range
|| 4L4s || 1\8 &lt; g &lt; 1\4 || g = 3\16 || g = 2\12, 3\16, 4\20 || g || 1\4-g ||
! | Boundaries of best, better, good behavior
|| 5L3s || 3\8 &lt; g &lt; 2\5 || g = 31\80 || g = 5\13, 7\18, 9\23 || 3g-1 || 2-5g ||
! | Large step-Small step
|| 6L2s || 1\8 &lt; g &lt; 1\6 || g = 7\48 || g = 2\14, 3\20, 4\26 || g || 1\2-3g ||
|-
|| 7L1s || 1\8 &lt; g &lt; 1\7 || g = 15\112 || g = 2\15, 3\22, 4\29 || g || 1-7g ||
| | [[1L 6s]]
| | 6\7 &lt; g &lt; 1
| | g = ''7\8'', 8\9, 9\10-10\11
| | 6g-5-(1-g) = 7g-6
|-
| | [[2L 5s]]
| | 3\7 &lt; g &lt; 1\2
| | g = 4\9, 5\11, 6\13-7\15
| | 5g-2-(1-2g) = 7g-3
|-
| | [[3L 4s]]
| | 2\7 &lt; g &lt; 1\3
| | g = 3\10, 4\13, 5\16-6\19
| | 4g-1-(1-3g) = 7g-2
|-
| | [[4L 3s]]
| | 5\7 &lt; g &lt; 3\4
| | g = 8\11, 11\15, 14\19-17\23
| | 3g-2-(3-4g) = 7g-5
|-
| | [[5L 2s]]
| | 4\7 &lt; g &lt; 3\5
| | g = 7\12, 10\17, 13\22-16\27
| | 2g-1-(3-5g) = 7g-4
|-
| | [[6L 1s|''6L 1s'']]
| | ''1\7 &lt; g &lt; 1\6''
| | ''g = 2\13, 3\19, 4\25-5\31''
| | ''g-(1-6g) = 7g-1''
|}


=9=  
== 8-tone ==
**Note: italicized generators from here below generate scales which are weakly tonal**
{| class="wikitable"
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|-
|| 1L8s || 8\9 &lt; g &lt; 1 || g = 17\18 || g = //9\10//, 10\11, 11\12 || 8g-7 || 1-g ||
! | L-s pattern
|| 2L7s || 4\9 &lt; g &lt; 1\2 || g = 17\36 || g = 5\11, 6\13, 7\15 || 7g-3 || 1-2g ||
! | Generator range
|| 3L6s || 2\9 &lt; g &lt; 1\3 || g = 5\18 || g = 3\12, 4\15, 5\18 || 2g-1\3 || 1\3-g ||
! | Boundaries of best, better, good behavior
||&lt; 4L5s ||&lt; 2\9 &lt; g &lt; 1\4 ||&lt; g = 17\72 ||&lt; g = 3\13, 4\17, 5\21 ||&lt; 5g-1 ||&lt; 1-4g ||
! | Large step-Small step
|| 5L4s || 7\9 &lt; g &lt; 4\5 || g = 71\90 || g = 11\14, 15\19, 18\23 || 4g-3 || 4-5g ||
|-
|| 6L3s || 1\9 &lt; g &lt; 1\6 || g = 5\36 || g = 2\15, 3\21, 4\27 || g || 1\3-2g ||
| | [[1L 7s]]
|| 7L2s || 5\9 &lt; g &lt; 4\7 || g = 71\126 || g = 9\16, 10\23, 17\30 || 2g-1 || 4-7g ||
| | 7\8 &lt; g &lt; 1
|| 8L1s || 1\9 &lt; g &lt; 1\8 || g = 17\144 || g = 2\17, 3\25, 4\33 || g || 1-8g ||
| | g = ''8\9, 9\10'', 10\11-11\12
| | 7g-6-(1-g) = 8g-7
|-
| | [[2L 6s|''2L 6s'']] ''= 1L 3s (2)''
| | 3\8 &lt; g &lt; 1\2
| | g = ''4\10'', 5\12, 6\14-7\16
| | 3g-1-(1\2-g) = 4g-3\2
|-
| | [[3L 5s]]
| | 5\8 &lt; g &lt; 2\3
| | g = 7\11, 9\14, 11\17-13\20
| | 5g-3-(2-3g) = 8g-5
|-
| | [[4L 4s|''4L 4s'']] ''= 1L 1s (4)''
| | ''1\8 &lt; g &lt; 1\4''
| | ''g = 2\12, 3\16, 4\20-5\24''
| | ''g-(1\4-g) = 2g-1\4''
|-
| | [[5L 3s]]
| | 3\8 &lt; g &lt; 2\5
| | g = 5\13, 7\18, 9\23-11\28
| | 3g-1-(2-5g) = 8g-3
|-
| | [[6L 2s|''6L 2s'']] ''= 3L 1s (2)''
| | ''1\8 &lt; g &lt; 1\6''
| | ''g = 2\14, 3\20, 4\26-5\32''
| | ''g-(1\2-3g) = 4g-1\2''
|-
| | [[7L 1s|''7L 1s'']]
| | ''1\8 &lt; g &lt; 1\7''
| | ''g = 2\15, 3\22, 4\29-5\36''
| | ''g-(1-7g) = 8g-1''
|}


=10=  
== 9-tone ==
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L9s || 9\10 &lt; g &lt; 1 || g = 19\20 || g = //10\11//, 11\12, 12\13 || 9g-8 || 1-g ||
|-
|| 2L8s || 4\10 &lt; g &lt; 1\2 || g = 9\20 || g = 5\12, 6\14, 7\16 || 4g-3\2 || 1\2-g ||
! | L-s pattern
|| 3L7s || 3\10 &lt; g &lt; 1\3 || g = 19\60 || g = 4\13, 5\16, 6\19 || 7g-2 || 1-3g ||
! | Generator range
|| 4L6s || 2\10 &lt; g &lt; 1\4 || g = 9\40 || g = 3\14, 4\18, 5\22 || 3g-1\2 || 1\2-2g ||
! | Boundaries of best, better, good behavior
|| 5L5s || 1\10 &lt; g &lt; 1\5 || g = 3\20 || g = 2\15, 3\20, 4\25 || g || 1\5-g ||
! | Large step-Small step
|| 6L4s || 3\10 &lt; g &lt; 2\6 || g = 19\60 || g = 5\16, 7\22, 9\28 || 2g-1\2 || 1-3g ||
|-
|| 7L3s || 7\10 &lt; g &lt; 5\7 || g = 99\140 || g = 12\17, 17\24, 22\31 || 3g-2 || 5-7g ||
| | [[1L 8s]]
|| 8L2s || 1\10 &lt; g &lt; 1\8 || g = 9\80 || g = 2\18, 3\26, 4\34 || g || 1\2-4g ||
| | 8\9 &lt; g &lt; 1
|| 9L1s || 1\10 &lt; g &lt; 1\9 || g = 19\180 || g = 2\19, 3\28, 4\37 || g || 1-9g ||
| | g = ''9\10'', ''10\11'', 11\12-12\13
| | 8g-7-(1-g) = 9g-8
|-
| | [[2L 7s]]
| | 4\9 &lt; g &lt; 1\2
| | g = ''5\11'', 6\13, 7\15-8\17
| | 7g-3-(1-2g) = 9g-4
|-
| | [[3L 6s]]
| | 2\9 &lt; g &lt; 1\3
| | g = 3\12, 4\15, 5\18-6\21
| | 2g-1\3-(1\3-g) = 3g-2\3
|-
| | [[4L 5s]]
| | 2\9 &lt; g &lt; 1\4
| | g = 3\13, 4\17, 5\21-6\25
| | 5g-1-(1-4g) = 9g-2
|-
| | [[5L 4s]]
| | 7\9 &lt; g &lt; 4\5
| | g = 11\14, 15\19, 19\24-23\29
| | 4g-3-(4-5g) = 9g-7
|-
| | [[6L 3s|''6L 3s'']] ''= 2L 1s (3)''
| | ''1\9 &lt; g &lt; 1\6''
| | ''g = 2\15, 3\21, 4\27-5\33''
| | ''g-(1\3-2g) = 3g-1\3''
|-
| | [[7L 2s]]
| | 5\9 &lt; g &lt; 4\7
| | g = 9\16, 13\23, 17\30-21\37
| | 2g-1-(4-7g) = 9g-5
|-
| | [[8L 1s|''8L 1s'']]
| | ''1\9 &lt; g &lt; 1\8''
| | ''g = 2\17, 3\25, 4\33-5\41''
| | ''g-(1-8g) = 9g-1''
|}


=11=  
== 10-tone ==
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L10s || 10\11 &lt; g &lt; 1 || g = 21\22 || g = //11\12//, 12\13, 13\14 || 10g-9 || 1-g ||
|-
|| 2L9s || 5\11 &lt; g &lt; 1\2 || g = 21\44 || g = 6\13, 7\15, 8\17 || 9g-4 || 1-2g ||
! | L-s pattern
|| 3L8s || 7\11 &lt; g &lt; 2\3 || g = 43\66 || g = 9\14, 11\17, 13\20 || 8g-5 || 2-3g ||
! | Generator range
|| 4L7s || 8\11 &lt; g &lt; 3\4 || g = 65\88 || g = 11\15, 14\19, 17\23 || 7g-5 || 3-4g ||
! | Boundaries of best, better, good behavior
|| 5L6s || 2\11 &lt; g &lt; 1\5 || g = 21\110 || g = 3\16, 4\21, 5\26 || 6g-1 || 1-5g ||
! | Large step-Small step
|| 6L5s || 9\11 &lt; g &lt; 5\6 || g = 109\132 || g = 14\17, 19\23, 24\29 || 5g-4 || 5-6g ||
|-
|| 7L4s || 3\11 &lt; g &lt; 2\7 || g = 43\154 || g = 5\18, 7\25, 9\32 || 4g-1 || 2-7g ||
| | [[1L 9s]]
|| 8L3s || 4\11 &lt; g &lt; 3\8 || g = 65\176 || g = 7\19, 10\27, 13\35 || 3g-1 || 3-8g ||
| | 9\10 &lt; g &lt; 1
|| 9L2s || 6\11 &lt; g &lt; 5\9 || g = 109\198 || g = 11\20, 16\29, 21\38 || 2g-1 || 5-9g ||
| | g = ''10\11'', ''11\12'', 12\13-13\14
|| 10L1s || 1\11 &lt; g &lt; 1\10 || g = 21\220 || g = 2\21, 3\31, 4\41 || g || 1-10g ||
| | 9g-8-(1-g) = 10g-9
|-
| | [[2L 8s]]
| | 4\10 &lt; g &lt; 1\2
| | g = ''5\12'', 6\14, 7\16-8\18
| | 4g-3\2-(1\2-g) = 5g-2
|-
| | [[3L 7s]]
| | 3\10 &lt; g &lt; 1\3
| | g = 4\13, 5\16, 6\19-7\22
| | 7g-2-(1-3g) = 10g-3
|-
| | [[4L 6s]]
| | 2\10 &lt; g &lt; 1\4
| | g = 3\14, 4\18, 5\22-6\26
| | 3g-1\2-(1\2-2g) = 5g-1
|-
| | [[5L 5s|''5L 5s'']] ''= 1L 1s (5)''
| | ''1\10 &lt; g &lt; 1\5''
| | ''g = 2\15, 3\20, 4\25-5\30''
| | ''g-(1\5-g) = 2g-1\5''
|-
| | [[6L 4s]]
| | 3\10 &lt; g &lt; 2\6
| | g = 5\16, 7\22, 9\28-11\34
| | 2g-1\2-(1-3g) = 5g-3\2
|-
| | [[7L 3s]]
| | 7\10 &lt; g &lt; 5\7
| | g = 12\17, 17\24, 22\31-27\38
| | 3g-2-(5-7g) = 10g-7
|-
| | [[8L 2s|''8L 2s'']] ''= 4L 1s (2)''
| | ''1\10 &lt; g &lt; 1\8''
| | ''g = 2\18, 3\26, 4\34-5\42''
| | ''g-(1\2-4g) = 5g-1\2''
|-
| | [[9L 1s|''9L 1s'']]
| | ''1\10 &lt; g &lt; 1\9''
| | ''g = 2\19, 3\28, 4\37-5\46''
| | ''g-(1-9g) = 10g-1''
|}


=12=  
== 11-tone ==
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L11s || 11\12 &lt; g &lt; 1 || g = 23\24 || g = //12\13,// //13\14//, 14\15 || 11g-10 || 1-g ||
|-
|| 2L10s || 5\12 &lt; g &lt; 1\2 || g = 11\24 || g = //6\14//, 7\16, 8\18 || 5g-2 || 1\2-g ||
! | L-s pattern
|| 3L9s || 3\12 &lt; g &lt; 1\3 || g = 7\24 || g = 4\15, 5\18, 6\21 || 3g-2\3 || 1\3-g ||
! | Generator range
|| 4L8s || 2\12 &lt; g &lt; 1\4 || g = 5\24 || g = 3\16, 4\20, 5\24 || 2g-1\4 || 1\4-g ||
! | Boundaries of best, better, good behavior
|| 5L7s || 7\12 &lt; g &lt; 3\5 || g = 71\120 || g = 10\17, 13\22, 16\27 || 7g-4 || 3-5g ||
! | Large step-Small step
|| 6L6s || 1\12 &lt; g &lt; 1\6 || g = 3\24 || g = 2\18, 3\24, 4\30 || g || 1\6-g ||
|-
|| 7L5s || 5\12 &lt; g &lt; 3\7 || g = 71\168 || g = 8\19, 11\26, 14\33 || 5g-2 || 3-7g ||
| | [[1L 10s]]
|| 8L4s || 1\12 &lt; g &lt; 1\8 || g = 5\48 || g = 2\20, 3\28, 4\36 || g || 1\4-2g ||
| | 10\11 &lt; g &lt; 1
|| 9L3s || 1\12 &lt; g &lt; 1\9 || g = 7\72 || g = 2\21, 3\30, 4\39 || g || 1\3-3g ||
| | g = ''11\12'', ''12\13'', 13\14-14\15
|| 10L2s || 1\12 &lt; g &lt; 1\10 || g = 11\120 || g = 2\22, 3\32, 4\42 || g || 1\2-5g ||
| | 10g-9-(1-g) = 11g-10
|| 11L1s || 1\12 &lt; g &lt; 1\11 || g = 23\264 || g = 2\23, 3\34, 4\45 || g || 1-11g ||
|-
| | [[2L 9s]]
| | 5\11 &lt; g &lt; 1\2
| | g = ''6\13'', 7\15, 8\17-9\19
| | 9g-4-(1-2g) = 11g-5
|-
| | [[3L 8s]]
| | 7\11 &lt; g &lt; 2\3
| | g = 9\14, 11\17, 13\20-15\23
| | 8g-5-(2-3g) = 11g-7
|-
| | [[4L 7s]]
| | 8\11 &lt; g &lt; 3\4
| | g = 11\15, 14\19, 17\23-20\27
| | 7g-5-(3-4g) = 11g-8
|-
| | [[5L 6s]]
| | 2\11 &lt; g &lt; 1\5
| | g = 3\16, 4\21, 5\26-6\31
| | 6g-1-(1-5g) = 11g-2
|-
| | [[6L 5s]]
| | 9\11 &lt; g &lt; 5\6
| | g = 14\17, 19\23, 24\29-29\35
| | 5g-4-(5-6g) = 11g-9
|-
| | [[7L 4s]]
| | 3\11 &lt; g &lt; 2\7
| | g = 5\18, 7\25, 9\32-11\39
| | 4g-1-(2-7g) = 11g-3
|-
| | [[8L 3s]]
| | 4\11 &lt; g &lt; 3\8
| | g = 7\19, 10\27, 13\35-16\43
| | 3g-1-(3-8g) = 11g-4
|-
| | [[9L 2s]]
| | 6\11 &lt; g &lt; 5\9
| | g = 11\20, 16\29, 21\38-26\47
| | 2g-1-(5-9g) = 11g-6
|-
| | [[10L 1s|''10L 1s'']]
| | ''1\11 &lt; g &lt; 1\10''
| | ''g = 2\21, 3\31, 4\41-5\51''
| | ''g+1-10g = 11g-1''
|}


=13=  
== 12-tone ==
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L12s || 12\13 &lt; g &lt; 1 || g = 25\26 || g = //13\14,// //14\15//, 15\16 || 12g-11 || 1-g ||
|-
|| 2L11s || 6\13 &lt; g &lt; 1\2 || g = 25\52 || g = //7\15//, 8\17, 9\19 || 11g-5 || 1-2g ||
! | L-s pattern
|| 3L10s || 4\13 &lt; g &lt; 1\3 || g = 25\78 || g = 5\16, 6\19, 7/22 || 10g-3 || 1-3g ||
! | Generator range
|| 4L9s || 3\13 &lt; g &lt; 1\4 || g = 25\104 || g = 4\17, 5\21, 6\25 || 9g-2 || 1-4g ||
! | Boundaries of best, better, good behavior
|| 5L8s || 5\13 &lt; g &lt; 2\5 || g = 51\130 || g = 7\18, 9\23, 11\28 || 8g-3 || 2-5g ||
! | Large step-Small step
|| 6L7s || 2\13 &lt; g &lt; 1\6 || g = 25\156 || g = 3\19, 4\25, 5\31 || 7g-1 || 1-6g ||
|-
|| 7L6s || 11\13 &lt; g &lt; 6\7 || g = 155\182 || g = 17\20, 23\27, 29\34 || 6g-5 || 6-7g ||
| | [[1L 11s]]
|| 8L5s || 8\13 &lt; g &lt; 5\8 || g = 129\208 || g = 13\21, 18\29, 23\37 || 5g-3 || 5-8g ||
| | 11\12 &lt; g &lt; 1
|| 9L4s || 10\13 &lt; g &lt; 7\9 || g = 181\234 || g = 17\22, 24\31, 31\40 || 4g-3 || 7-9g ||
| | g = ''12\13,'' ''13\14, 14\15''-15\16
|| 10L3s || 9\13 &lt; g &lt; 7\10 || g = 181\260 || g = 16\23, 23\33, 30\43 || 3g-2 || 7-10g ||
| | 11g-10-(1-g) = 12g-11
|| 11L2s || 7\13 &lt; g &lt; 6\11 || g = 155\286 || g = 13\24, 19\35, 25\46 || 2g-1 || 6-11g ||
|-
|| 12L1s || 1\13 &lt; g &lt; 1\12 || g = 25\312 || g = 2\25, 3\37, 4\49 || g || 1-12g ||
| | [[2L 10s]]
| | 5\12 &lt; g &lt; 1\2
| | g = ''6\14'', 7\16, 8\18-9\20
| | 5g-2-(1\2-g) = 6g-5\2
|-
| | [[3L 9s]]
| | 3\12 &lt; g &lt; 1\3
| | g = ''4\15'', 5\18, 6\21-7\24
| | 3g-2\3-(1\3-g) = 4g-1
|-
| | [[4L 8s]]
| | 2\12 &lt; g &lt; 1\4
| | g = 3\16, 4\20, 5\24-6\28
| | 2g-1\4-(1\4-g) = 3g-1\2
|-
| | [[5L 7s]]
| | 7\12 &lt; g &lt; 3\5
| | g = 10\17, 13\22, 16\27-19\32
| | 7g-4-(3-5g) = 12g-7
|-
| | [[6L 6s|''6L 6s'']] ''= 1L 1s (6)''
| | ''1\12 &lt; g &lt; 1\6''
| | ''g = 2\18, 3\24, 4\30-5\36''
| | ''g-(1\6-g) = 2g-1\6''
|-
| | [[7L 5s]]
| | 5\12 &lt; g &lt; 3\7
| | g = 8\19, 11\26, 14\33-17\40
| | 5g-2-(3-7g) = 12g-5
|-
| | [[8L 4s|''8L 4s'']] ''= 2L 1s (4)''
| | ''1\12 &lt; g &lt; 1\8''
| | ''g = 2\20, 3\28, 4\36-5\44''
| | ''g-(1\4-2g) = 3g-1\4''
|-
| | [[9L 3s|''9L 3s'']] ''= 3L 1s (3)''
| | ''1\12 &lt; g &lt; 1\9''
| | ''g = 2\21, 3\30, 4\39-5\48''
| | ''g-(1\3-3g) = 4g-1\3''
|-
| | [[10L 2s|''10L 2s'']] ''= 5L 1s (2)''
| | ''1\12 &lt; g &lt; 1\10''
| | ''g = 2\22, 3\32, 4\42-5\52''
| | ''g-(1\2-5g) = 6g-1\2''
|-
| | [[11L 1s|''11L 1s'']]
| | ''1\12 &lt; g &lt; 1\11''
| | ''g = 2\23, 3\34, 4\45-5\56''
| | ''g-(1-11g) = 12g-1''
|}


=14=  
== 13-tone ==
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L13s || 13\14 &lt; g &lt; 1 || g = 27\28 || g = //14\15,// //15\16//, 16\17 || 13g-12 || 1-g ||
|-
|| 2L12s || 6\14 &lt; g &lt; 1\2 || g = 13\28 || g = //7\16//, 8\18, 9\20 || 6g-5\2 || 1\2-g ||
! | L-s pattern
|| 3L11s || 9\14 &lt; g &lt; 2\3 || g = 55\84 || g = 11\17, 13\20, 15\23 || 11g-7 || 2-3g ||
! | Generator range
|| 4L10s || 3\14 &lt; g &lt; 1\4 || g = 13\56 || g = 4\18, 5\22, 6\26 || 5g-1 || 1\2-2g ||
! | Boundaries of best, better, good behavior
|| 5L9s || 11\14 &lt; g &lt; 4\5 || g = 111\140 || g = 15\19, 19\24, 23\29 || 9g-7 || 4-5g ||
! | Large step-Small step
|| 6L8s || 2\14 &lt; g &lt; 1\6 || g = 13\84 || g = 3\20, 4\26, 5\32 || 4g-1\2 || 1\2-3g ||
|-
|| 7L7s || 1\14 &lt; g &lt; 1\7 || g = 3\28 || g = 2\21, 3\28, 4\35 || g || 1\7-g ||
| | [[1L 12s]]
|| 8L6s || 5\14 &lt; g &lt; 3\8 || g = 41\112 || g = 8\22, 11\30, 14\38 || 3g-1 || 3\2-4g ||
| | 12\13 &lt; g &lt; 1
|| 9L5s || 3\14 &lt; g &lt; 2\9 || g = 55\252 || g = 5\23, 7\32, 9\41 || 5g-1 || 2-9g ||
| | g = ''13\14, 14\15, 15\16''-16\17
|| 10L4s || 4\14 &lt; g &lt; 3\10 || g = 41\140 || g = 7\24, 10\34, 13\44 || 2g-1\2 || 3\2-5g ||
| | 12g-11-(1-g) = 13g-12
|| 11L3s || 5\14 &lt; g &lt; 4\11 || g = 111\308 || g = 9\25, 13\36, 17\47 || 3g-1 || 4-11g ||
|-
|| 12L2s || 1\14 &lt; g &lt; 1\12 || g = 13\168 || g = 2\26, 3\38, 4\50 || g || 1\2-6g ||
| | [[2L 11s]]
|| 13L1s || 1\14 &lt; g &lt; 1\13 || g = 27\364 || g = 2\27, 3\40, 4\53 || g || 1-13g ||
| | 6\13 &lt; g &lt; 1\2
| | g = ''7\15'', 8\17, 9\19-10\21
| | 11g-5-(1-2g) = 13g-6
|-
| | [[3L 10s]]
| | 4\13 &lt; g &lt; 1\3
| | g = ''5\16'', 6\19, 7\22-8\25
| | 10g-3-(1-3g) = 13g-4
|-
| | [[4L 9s]]
| | 3\13 &lt; g &lt; 1\4
| | g = 4\17, 5\21, 6\25-7\29
| | 9g-2-(1-4g) = 13g-3
|-
| | [[5L 8s]]
| | 5\13 &lt; g &lt; 2\5
| | g = 7\18, 9\23, 11\28-13\33
| | 8g-3-(2-5g) = 13g-5
|-
| | [[6L 7s]]
| | 2\13 &lt; g &lt; 1\6
| | g = 3\19, 4\25, 5\31-6\37
| | 7g-1-(1-6g) = 13g-2
|-
| | [[7L 6s]]
| | 11\13 &lt; g &lt; 6\7
| | g = 17\20, 23\27, 29\34-35\41
| | 6g-5-(6-7g) = 13g-11
|-
| | [[8L 5s]]
| | 8\13 &lt; g &lt; 5\8
| | g = 13\21, 18\29, 23\37-28\45
| | 5g-3-(5-8g) = 13g-8
|-
| | [[9L 4s]]
| | 10\13 &lt; g &lt; 7\9
| | g = 17\22, 24\31, 31\40-38\49
| | 4g-3-(7-9g) = 13g-10
|-
| | [[10L 3s]]
| | 9\13 &lt; g &lt; 7\10
| | g = 16\23, 23\33, 30\43-37\53
| | 3g-2-(7-10g) = 13g-9
|-
| | [[11L 2s]]
| | 7\13 &lt; g &lt; 6\11
| | g = 13\24, 19\35, 25\46-31\57
| | 2g-1-(6-11g) = 13g-7
|-
| | [[12L 1s|''12L 1s'']]
| | ''1\13 &lt; g &lt; 1\12''
| | ''g = 2\25, 3\37, 4\49-5\61''
| | ''g-(1-12g) = 13g-1''
|}


=15=  
== 14-tone ==
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L14s || 14\15 &lt; g &lt; 1 || g = 29\30 || g = //15\16,// //16\17//, 17\18 || 14g-13 || 1-g ||
|-
|| 2L13s || 7\15 &lt; g &lt; 1\2 || g = 29\60 || g = //8\17//, 9\19, 10\21 || 13g-6 || 1-2g ||
! | L-s pattern
|| 3L12s || 4\15 &lt; g &lt; 1\3 || g = 9\30 || g = 5\18, 6\21, 7\24 || 4g-1 || 1\3-g ||
! | Generator range
|| 4L11s || 11\15 &lt; g &lt; 3\4 || g = 89\120 || g = 14\19, 17\23, 20\27 || 11g-8 || 3-4g ||
! | Boundaries of best, better, good behavior
|| 5L10s || 2\15 &lt; g &lt; 1\5 || g = 5\30 || g = 3\20, 4\25, 5\30 || 2g-1\5 || 1\5-g ||
! | Large step-Small step
|| 6L9s || 2\15 &lt; g &lt; 1\6 || g = 9\60 || g = 3\21, 4\27, 5\33 || 3g-1\3 || 1\3-2g ||
|-
|| 7L8s || 2\15 &lt; g &lt; 1\7 || g = 29\210 || g = 3\22, 4\29, 5\36 || 8g-1 || 1-7g ||
| | [[1L 13s]]
|| 8L7s || 13\15 &lt; g &lt; 7\8 || g = 209\240 || g = 20\23, 27\31, 34\39 || 7g-6 || 7-8g ||
| | 13\14 &lt; g &lt; 1
|| 9L6s || 3\15 &lt; g &lt; 2\9 || g = 19\90 || g = 5\24, 7\33, 9\42 || 2g-1\3 || 2\3-3g ||
| | g = ''14\15, 15\16, 16\17''-17\18
|| 10L5s || 1\15 &lt; g &lt; 1\10 || g = 5\60 || g = 2\25, 3\35, 4\45 || g || 1\5-2g ||
| | 13g-12-(1-g) = 14g-13
|| 11L4s || 4\15 &lt; g &lt; 3\11 || g = 89\330 || g = 7\26, 10\37, 13\48 || 4g-1 || 3-11g ||
|-
|| 12L3s || 1\15 &lt; g &lt; 1\12 || g = 9\120 || g = 2\27, 3\39, 4\51 || g || 1\3-4g ||
| | [[2L 12s]]
|| 13L2s || 8\15 &lt; g &lt; 7\13 || g = 209\390 || g = 15\28, 22\41, 29\54 || 2g-1 || 7-13g ||
| | 6\14 &lt; g &lt; 1\2
|| 14L1s || 1\15 &lt; g &lt; 1\14 || g = 29\420 || g = 2\29, 3\43, 4\57 || g || 1-14g ||
| | g = ''7\16'', 8\18, 9\20-10\22
| | 6g-5\2-(1\2-g) = 7g-3
|-
| | [[3L 11s]]
| | 9\14 &lt; g &lt; 2\3
| | g = ''11\17'', 13\20, 15\23-17\26
| | 11g-7-(2-3g) = 14g-9
|-
| | [[4L 10s]]
| | 3\14 &lt; g &lt; 1\4
| | g = 4\18, 5\22, 6\26-7\30
| | 5g-1-(1\2-2g) = 7g-3\2
|-
| | [[5L 9s]]
| | 11\14 &lt; g &lt; 4\5
| | g = 15\19, 19\24, 23\29-27\34
| | 9g-7-(4-5g) = 14g-11
|-
| | [[6L 8s]]
| | 2\14 &lt; g &lt; 1\6
| | g = 3\20, 4\26, 5\32-6\38
| | 4g-1\2-(1\2-3g) = 7g-1
|-
| | [[7L 7s|''7L 7s'']] ''= 1L 1s (7)''
| | ''1\14 &lt; g &lt; 1\7''
| | ''g = 2\21, 3\28, 4\35-5\42''
| | ''g-(1\7-g) = 2g-1\7''
|-
| | [[8L 6s]]
| | 5\14 &lt; g &lt; 3\8
| | g = 8\22, 11\30, 14\38-17\46
| | 3g-1-(3\2-4g) = 7g-5\2
|-
| | [[9L 5s]]
| | 3\14 &lt; g &lt; 2\9
| | g = 5\23, 7\32, 9\41-11\50
| | 5g-1-(2-9g) = 14g-3
|-
| | [[10L 4s]]
| | 4\14 &lt; g &lt; 3\10
| | g = 7\24, 10\34, 13\44-16\54
| | 2g-1\2-(3\2-5g) = 7g-2
|-
| | [[11L 3s]]
| | 5\14 &lt; g &lt; 4\11
| | g = 9\25, 13\36, 17\47-21\58
| | 3g-1-(4-11g) = 14g-5
|-
| | [[12L 2s|''12L 2s'']] ''= 6L 1s (2)''
| | ''1\14 &lt; g &lt; 1\12''
| | ''g = 2\26, 3\38, 4\50-5\62''
| | ''g-(1\2-6g) = 7g-1\2''
|-
| | [[13L 1s|''13L 1s'']]
| | ''1\14 &lt; g &lt; 1\13''
| | ''g = 2\27, 3\40, 4\53-5\66''
| | ''g+1-13g = 14g-1''
|}


=16=  
== 15-tone ==
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L15s || 15\16 &lt; g &lt; 1 || g = 31\32 || g = //16\17,// //17\18//, 18\19 || 15g-14 || 1-g ||
|-
|| 2L14s || 7\16 &lt; g &lt; 1\2 || g = 15\32 || g = //8\18//, 9\20, 10\22 || 7g-3 || 1\2-g ||
! | L-s pattern
|| 3L13s || 5\16 &lt; g &lt; 1\3 || g = 31\96 || g = 6\19, 7\22, 8\25 || 13g-4 || 1-3g ||
! | Generator range
|| 4L12s || 3\16 &lt; g &lt; 1\4 || g = 7\32 || g = 4\20, 5\24, 6\28 || 3g-1\2 || 1\4-g ||
! | Boundaries of best, better, good behavior
|| 5L11s || 3\16 &lt; g &lt; 1\5 || g = 31\160 || g = 4\21, 5\26, 6\31 || 11g-2 || 1-5g ||
! | Large step-Small step
|| 6L10s || 5\16 &lt; g &lt; 2\6 || g = 31\96 || g = 7\22, 9\28, 11\34 || 5g-3\2 || 1-3g ||
|-
|| 7L9s || 9\16 &lt; g &lt; 4\7 || g = 127\224 || g = 13\23, 17\30, 21\37 || 9g-5 || 4-7g ||
| | [[1L 14s]]
|| 8L8s || 1\16 &lt; g &lt; 1\8 || g = 3\32 || g = 2\24, 3\32, 4\40 || g || 1\8-g ||
| | 14\15 &lt; g &lt; 1
|| 9L7s || 7\16 &lt; g &lt; 4\9 || g = 127\286 || g = 11\25, 15\34, 19\43 || 7g-3 || 4-9g ||
| | g = ''15\16, 16\17, 17\18-''18\19
|| 10L6s || 3\16 &lt; g &lt; 2\10 || g = 31\160 || g = 5\26, 7\36, 8\46 || 3g-1\2 || 1-5g ||
| | 14g-13-(1-g) = 15g-14
|| 11L5s || 13\16 &lt; g &lt; 9\11 || g = 287\352 || g = 22\27, 31\38, 40\49 || 5g-4 || 9-11g ||
|-
|| 12L4s || 1\16 &lt; g &lt; 1\12 || g = 7\48 || g = 2\28, 3\40, 4\52 || g || 1\4-3g ||
| | [[2L 13s]]
|| 13L3s || 11\16 &lt; g &lt; 9\13 || g = 287\416 || g = 20\29, 29\42, 38\55 || 3g-2 || 9-13g ||
| | 7\15 &lt; g &lt; 1\2
|| 14L2s || 1\16 &lt; g &lt; 1\14 || g = 15\224 || g = 2\30, 3\44, 4\58 || g || 1\2-7g ||
| | g = ''8\17'', 9\19, 10\21-11\23
|| 15L1s || 1\16 &lt; g &lt; 1\15 || g = 31\480 || g = 2\31, 3\46, 4\61 || g || 1-15g ||
| | 13g-6-(1-2g) = 15g-7
|-
| | [[3L 12s]]
| | 4\15 &lt; g &lt; 1\3
| | g = ''5\18'', 6\21, 7\24-8\27
| | 4g-1-(1\3-g) = 5g-4\3
|-
| | [[4L 11s]]
| | 11\15 &lt; g &lt; 3\4
| | g = 14\19, 17\23, 20\27-23\31
| | 11g-8-(3-4g) = 15g-11
|-
| | [[5L 10s]]
| | 2\15 &lt; g &lt; 1\5
| | g = 3\20, 4\25, 5\30-6\35
| | 2g-1\5-(1\5-g) = 3g-2\5
|-
| | [[6L 9s]]
| | 2\15 &lt; g &lt; 1\6
| | g = 3\21, 4\27, 5\33-6\39
| | 3g-1\3-(1\3-2g) = 5g-2\3
|-
| | [[7L 8s]]
| | 2\15 &lt; g &lt; 1\7
| | g = 3\22, 4\29, 5\36-6\43
| | 8g-1-(1-7g) = 15g-2
|-
| | [[8L 7s]]
| | 13\15 &lt; g &lt; 7\8
| | g = 20\23, 27\31, 34\39-41\47
| | 7g-6-(7-8g) = 15g-13
|-
| | [[9L 6s]]
| | 3\15 &lt; g &lt; 2\9
| | g = 5\24, 7\33, 9\42-11\51
| | 2g-1\3-(2\3-3g) = 5g-1
|-
| | [[10L 5s|''10L 5s'']] ''= 2L 1s (5)''
| | ''1\15 &lt; g &lt; 1\10''
| | ''g = 2\25, 3\35, 4\45-5\55''
| | ''g-(1\5-2g) = 3g-1\5''
|-
| | [[11L 4s]]
| | 4\15 &lt; g &lt; 3\11
| | g = 7\26, 10\37, 13\48-16\59
| | 4g-1-(3-11g) = 15g-4
|-
| | [[12L 3s|''12L 3s'']] ''= 4L 1s (3)''
| | ''1\15 &lt; g &lt; 1\12''
| | ''g = 2\27, 3\39, 4\51-5\63''
| | ''g-(1\3-4g) = 5g-1\3''
|-
| | [[13L 2s]]
| | 8\15 &lt; g &lt; 7\13
| | g = 15\28, 22\41, 29\54-36\67
| | 2g-1-(7-13g) = 15g-8
|-
| | [[14L 1s|''14L 1s'']]
| | ''1\15 &lt; g &lt; 1\14''
| | ''g = 2\29, 3\43, 4\57-5\71''
| | ''g-(1-14g) = 15g-1''
|}


=17=  
== 16-tone ==
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L16s || 16\17 &lt; g &lt; 1 || g = 33\34 || g = //17\18,// //18\19//, 19\20 || 16g-15 || 1-g ||
|-
|| 2L15s || 8\17 &lt; g &lt; 1\2 || g = 33\68 || g = //9\19//, 10\21, 11\23 || 15g-7 || 1-2g ||
! | L-s pattern
|| 3L14s || 11\17 &lt; g &lt; 2\3 || g = 67\102 || g = 13\20, 15\23, 17\26 || 14g-9 || 2-3g ||
! | Generator range
|| 4L13s || 4\17 &lt; g &lt; 1\4 || g = 33\136 || g = 5\21, 6\25, 7\29 || 13g-3 || 1-4g ||
! | Boundaries of best, better, good behavior
|| 5L12s || 10\17 &lt; g &lt; 3\5 || g = 101\170 || g = 13\22, 16\27, 19\32 || 12g-7 || 3-5g ||
! | Large step-Small step
|| 6L11s || 14\17 &lt; g &lt; 5\6 || g = 169\204 || g = 19\23, 24\29, 29\35 || 11g-9 || 5-6g ||
|-
|| 7L10s || 12\17 &lt; g &lt; 5\7 || g = 169\238 || g = 17\24, 22\31, 27\38 || 10g-7 || 5-7g ||
| | [[1L 15s]]
|| 8L9s || 2\17 &lt; g &lt; 1\8 || g = 33\272 || g = 3\25, 4\33, 5\41 || 9g-1 || 1-8g ||
| | 15\16 &lt; g &lt; 1
|| 9L8s || 15\17 &lt; g &lt; 8\9 || g = 271\306 || g = 23\26, 31\35, 39\44 || 8g-7 || 8-9g ||
| | g = ''16\17, 17\18, 18\19-19\20''
|| 10L7s || 5\17 &lt; g &lt; 3\10 || g = 101\340 || g = 8\27, 11\37, 14\47 || 7g-2 || 3-10g ||
| | 15g-14-(1-g) = 16g-15
|| 11L6s || 3\17 &lt; g &lt; 2\11 || g = 67\374 || g = 5\28, 7\39, 9\50 || 6g-1 || 2-11g ||
|-
|| 12L5s || 7\17 &lt; g &lt; 5\12 || g = 169\408 || g = 12\29, 17\41, 22\53 || 5g-2 || 5-12g ||
| | [[2L 14s]]
|| 13L4s || 13\17 &lt; g &lt; 10\13 || g = 339\442 || g = 23\30, 33\43, 43\56 || 4g-3 || 10-13g ||
| | 7\16 &lt; g &lt; 1\2
|| 14L3s || 6\17 &lt; g &lt; 5\14 || g = 169\476 || g = 11\31, 16\45, 21\59 || 3g-1 || 5-14g ||
| | g = ''8\18, 9\20'', 10\22-11\24
|| 15L2s || 9\17 &lt; g &lt; 8\15 || g = 271\510 || g = 17\32, 25\47, 33\62 || 2g-1 || 8-15g ||
| | 7g-3-(1\2-g) = 8g-7\2
|| 16L1s || 1\17 &lt; g &lt; 1\16 || g = 33\544 || g = 2\33, 3\49, 4\65 || g || 1-16g ||
|-
| | [[3L 13s]]
| | 5\16 &lt; g &lt; 1\3
| | g = ''6\19'', 7\22, 8\25-9\28
| | 13g-4-(1-3g) = 16g-5
|-
| | [[4L 12s]]
| | 3\16 &lt; g &lt; 1\4
| | g = ''4\20'', 5\24, 6\28-7\32
| | 3g-1\2-(1\4-g) = 4g-3\4
|-
| | [[5L 11s]]
| | 3\16 &lt; g &lt; 1\5
| | g = 4\21, 5\26, 6\31-7\36
| | 11g-2-(1-5g) = 16g-3
|-
| | [[6L 10s]]
| | 5\16 &lt; g &lt; 2\6
| | g = 7\22, 9\28, 11\34-13\40
| | 5g-3\2-(1-3g) = 8g-5\2
|-
| | [[7L 9s]]
| | 9\16 &lt; g &lt; 4\7
| | g = 13\23, 17\30, 21\37-25\44
| | 9g-5-(4-7g) = 16g-9
|-
| | [[8L 8s|''8L 8s'']] = ''1L 1s (8)''
| | ''1\16 &lt; g &lt; 1\8''
| | ''g = 2\24, 3\32, 4\40-5\48''
| | ''g-(1\8-g) = 2g-1\8''
|-
| | [[9L 7s]]
| | 7\16 &lt; g &lt; 4\9
| | g = 11\25, 15\34, 19\43-23\52
| | 7g-3-(4-9g) = 16g-7
|-
| | [[10L 6s]]
| | 3\16 &lt; g &lt; 2\10
| | g = 5\26, 7\36, 9\46-11\56
| | 3g-1\2-(1-5g) = 8g-3\2
|-
| | [[11L 5s]]
| | 13\16 &lt; g &lt; 9\11
| | g = 22\27, 31\38, 40\49-49\60
| | 5g-4-(9-11g) = 16g-13
|-
| | [[12L 4s|''12L 4s'']] ''= 3L 1s (4)''
| | ''1\16 &lt; g &lt; 1\12''
| | ''g = 2\28, 3\40, 4\52-5\64''
| | ''g-(1\4-3g) = 4g-1\4''
|-
| | [[13L 3s]]
| | 11\16 &lt; g &lt; 9\13
| | g = 20\29, 29\42, 38\55-47\68
| | 3g-2-(9-13g) = 16g-11
|-
| | [[14L 2s|''14L 2s'']] ''= 7L 1s (2)''
| | ''1\16 &lt; g &lt; 1\14''
| | ''g = 2\30, 3\44, 4\58-5\72''
| | ''g-(1\2-7g) = 8g-1\2''
|-
| | [[15L 1s|''15L 1s'']]
| | ''1\16 &lt; g &lt; 1\15''
| | ''g = 2\31, 3\46, 4\61-5\76''
| | ''g-(1-15g) = 16g-1''
|}


=18=  
== 17-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L17s || 17\18 &lt; g &lt; 1 || g = 35\36 || g = //18\19, 19\20, 20\21// || 17g-16 || 1-g ||
|-
|| 2L16s || 8\18 &lt; g &lt; 1\2 || g = 17\36 || g -= //9\20//, 10\22, 11\24 || 8g-7\2 || 1\2-g ||
! | L-s pattern
|| 3L15s || 5\18 &lt; g &lt; 1\3 || g = 11\36 || g = //6\21//, 7\24, 8\27 || 5g-4\3 || 1\3-g ||
! | Generator range
|| 4L14s || &lt;span style="line-height: 15.6000003814697px;"&gt;4\18 &lt; g &lt; 1\4&lt;/span&gt; || g = 17\72 || &lt;span style="line-height: 15.6000003814697px;"&gt;g = 5\22, 6\26,&lt;/span&gt; 7\30 || 7g-3\2 || 1\2-2g ||
! | Boundaries of best, better, good behavior
|| 5L13s || 7\18 &lt; g &lt; 2\5 || g = 71\180 || g = 9\23, 11\28, 13\33 || 13g-5 || 2-5g ||
! | Large step-Small step
|| 6L12s || 2\18 &lt; g &lt; 1\6 || g = 5\36 || g = 3\24, 4\30, 5\36 || 2g-1\6 || 1\6-g ||
|-
|| 7L11s || 5\18 &lt; g &lt; 2\7 || g = 71\252 || g = 7\25, 9\32, 11\39 || 11g-3 || 2-7g ||
| | [[1L 16s]]
|| 8L10s || 2\18 &lt; g &lt; 1\8 || g = 17\144 || g = 3\26, 4\34, 5\42 || 5g-1\2 || 1\2-4g ||
| | 16\17 &lt; g &lt; 1
|| 9L9s || 1\18 &lt; g &lt; 1\9 || g = 3\36 || g = 2\27, 3\36, 4\45 || g || 1\9-g ||
| | g = ''17\18, 18\19, 19\20-20\21''
|| 10L8s || 7\18 &lt; g &lt; 4\10 || g = 71\180 || g = 11\28, 15\38, 19\48 || 4g-3\2 || 2-5g ||
| | 16g-15-(1-g) = 17g-16
|| 11L7s || 13\18 &lt; g &lt; 8\11 || g = 287\396 || g = 21\29, 29\40, 37\51 || 7g-5 || 8-11g ||
|-
|| 12L6s || 1\18 &lt; g &lt; 1\12 || g = 5\72 || g = 2\30, 3\42, 4\54 || g || 1\6-2g ||
| | [[2L 15s]]
|| 13L5s || 11\18 &lt; g &lt; 8\13 || g = 287\468 || g = 19\31, 27\44, 35\57 || 5g-3 || 8-13g ||
| | 8\17 &lt; g &lt; 1\2
|| 14L4s || 5\18 &lt; g &lt; 4\14 || g = 71\252 || g = 9\32, 13\46, 17\60 || 2g-1\2 || 2-7g ||
| | g = ''9\19'', ''10\21'', 11\23-13\25
|| 15L3s || 1\18 &lt; g &lt; 1\15 || g = 11\180 || g = 2\33, 3\48, 4\63 || g || 1\3-5g ||
| | 15g-7-(1-2g) = 17g-8
|| 16L2s || 1\18 &lt; g &lt; 1\16 || g = 17\288 || g = 2\34, 3\50, 4\66 || g || 1\2-8g ||
|-
|| 17L1s || 1\18 &lt; g &lt; 1\17 || g = 35\618 || g = 2\35, 3\52, 4\69 || g || 1-17g ||
| | [[3L 14s]]
| | 11\17 &lt; g &lt; 2\3
| | g = ''13\20'', 15\23, 17\26-19\29
| | 14g-9-(2-3g) = 17g-11
|-
| | [[4L 13s]]
| | 4\17 &lt; g &lt; 1\4
| | g = ''5\21'', 6\25, 7\29-8\33
| | 13g-3-(1-4g) = 17g-4
|-
| | [[5L 12s]]
| | 10\17 &lt; g &lt; 3\5
| | g = 13\22, 16\27, 19\32-22\37
| | 12g-7-(3-5g) = 17g-10
|-
| | [[6L 11s]]
| | 14\17 &lt; g &lt; 5\6
| | g = 19\23, 24\29, 29\35-34\41
| | 11g-9-(5-6g) = 17g-14
|-
| | [[7L 10s]]
| | 12\17 &lt; g &lt; 5\7
| | g = 17\24, 22\31, 27\38-32\45
| | 10g-7-(5-7g) = 17g-12
|-
| | [[8L 9s]]
| | 2\17 &lt; g &lt; 1\8
| | g = 3\25, 4\33, 5\41-6\49
| | 9g-1-(1-8g) = 17g-2
|-
| | [[9L 8s]]
| | 15\17 &lt; g &lt; 8\9
| | g = 23\26, 31\35, 39\44-47\53
| | 8g-7-(8-9g) = 17g-15
|-
| | [[10L 7s]]
| | 5\17 &lt; g &lt; 3\10
| | g = 8\27, 11\37, 14\47-17\57
| | 7g-2-(3-10g) = 17g-5
|-
| | [[11L 6s]]
| | 3\17 &lt; g &lt; 2\11
| | g = 5\28, 7\39, 9\50-11\61
| | 6g-1-(2-11g) = 17g-3
|-
| | [[12L 5s]]
| | 7\17 &lt; g &lt; 5\12
| | g = 12\29, 17\41, 22\53-27\65
| | 5g-2-(5-12g) = 17g-7
|-
| | [[13L 4s]]
| | 13\17 &lt; g &lt; 10\13
| | g = 23\30, 33\43, 43\56-53\69
| | 4g-3-(10-13g) = 17g-13
|-
| | [[14L 3s]]
| | 6\17 &lt; g &lt; 5\14
| | g = 11\31, 16\45, 21\59-26\73
| | 3g-1-(5-14g) = 17g-6
|-
| | [[15L 2s]]
| | 9\17 &lt; g &lt; 8\15
| | g = 17\32, 25\47, 33\62-41\77
| | 2g-1-(8-15g) = 17g-9
|-
| | [[16L 1s|''16L 1s'']]
| | ''1\17 &lt; g &lt; 1\16''
| | ''g = 2\33, 3\49, 4\65-5\81''
| | ''g-(1-16g) = 17g-1''
|}


=19=  
== 18-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L18s || 18\19 &lt; g &lt; 1 || g = 37\38 || g = //19\20, 20\21, 21\22// || 18g-17 || 1-g ||
|-
|| 2L17s || 9\19 &lt; g &lt; 1\2 || g = 37\76 || g = //10\21//, 11\23, 12\25 || 17g-8 || 1-2g ||
! | L-s pattern
|| 3L16s || 6\19 &lt; g &lt; 1\3 || g = 37\114 || g = //7\22//, 8\25, 10\31 || 16g-5 || 1-3g ||
! | Generator range
|| 4L15s || 14\19 &lt; g &lt; 3\4 || g = 113\152 || g = 17\23, 20\27, 23\31 || 15g-11 || 3-4g ||
! | Boundaries of best, better, good behavior
|| 5L14s || 15\19 &lt; g &lt; 4\5 || g = 151\190 || g = 19\24, 23\29, 27\34 || 14g-11 || 4-5g ||
! | Large step-Small step
|| 6L13s || 3\19 &lt; g &lt; 1\6 || g = 37\228 || g = 4\25, 5\31, 6/37 || 13g-2 || 1-6g ||
|-
|| 7L12s || 8\19 &lt; g &lt; 3\7 || g = 113\266 || g = 11\26, 14\33, 17\40 || 12g-5 || 3-7g ||
| | [[1L 17s]]
|| 8L11s || 7\19 &lt; g &lt; 3\8 || g = 113\304 || g = 10\27, 13\35, 16\43 || 11g-4 || 3-8g ||
| | 17\18 &lt; g &lt; 1
|| 9L10s || 2\19 &lt; g &lt; 1\9 || g = 37\342 || g = 3\28, 4\37, 5\46 || 10g-1 || 1-9g ||
| | g = ''18\19, 19\20, 20\21-21\22''
|| 10L9s || 17\19 &lt; g &lt; 9\10 || g = 341\380 || g = 26\29, 35\39, 44\49 || 9g-8 || 9-10g ||
| | 17g-16-(1-g) = 18g-17
|| 11L8s || 12\19 &lt; g &lt; 7\11 || g = 265\418 || g = 19\30, 26\41, 33\52 || 8g-5 || 7-11g ||
|-
|| 12L7s || 11\19 &lt; g &lt; 7\12 || g = 265\456 || g = 18\31, 25\43, 32\55 || 7g-4 || 7-12g ||
| | [[2L 16s]]
|| 13L6s || 16\19 &lt; g &lt; 11\13 || g = 417\494 || g = 27\32, 38\45, 49\58 || 6g-5 || 11-13g ||
| | 8\18 &lt; g &lt; 1\2
|| 14L5s || 4\19 &lt; g &lt; 3\14 || g = 113\532 || g = 7\33, 10\47, 13\61 || 5g-1 || 3-14g ||
| | g = ''9\20'', ''10\22'', 11\24-12\26
|| 15L4s || 5\19 &lt; g &lt; 4\15 || g = 151\570 || g = 9\34, 13\49, 17\64 || 4g-1 || 4-15g ||
| | 8g-7\2-(1\2-g) = 9g-4
|| 16L3s || 13\19 &lt; g &lt; 11\16 || g = 417\608 || g = 24\35, 35\51, 46\67 || 3g-2 || 11-16g ||
|-
|| 17L2s || 10\19 &lt; g &lt; 9\17 || g = 341\646 || g = 19\36, 28\53, 37\70 || 2g-1 || 9-17g ||
| | [[3L 15s]]
|| 18L1s || 1\19 &lt; g &lt; 1\18 || g = 37\684 || g = 2\37, 3\55, 4\73 || g || 1-18g ||
| | 5\18 &lt; g &lt; 1\3
| | g = ''6\21'', 7\24, 8\27-9\30
| | 5g-4\3-(1\3-g) = 6g-5\3
|-
| | [[4L 14s]]
| | 4\18 &lt; g &lt; 1\4
| | g = ''5\22'', 6\26, 7\30-8\34
| | 7g-3\2-(1\2-2g) = 9g-2
|-
| | [[5L 13s]]
| | 7\18 &lt; g &lt; 2\5
| | g = 9\23, 11\28, 13\33-15\38
| | 13g-5-(2-5g) = 18g-7
|-
| | [[6L 12s]]
| | 2\18 &lt; g &lt; 1\6
| | g = 3\24, 4\30, 5\36-6\42
| | 2g-1\6-(1\6-g) = 3g-1\3
|-
| | [[7L 11s]]
| | 5\18 &lt; g &lt; 2\7
| | g = 7\25, 9\32, 11\39-13\46
| | 11g-3-(2-7g) = 18g-5
|-
| | [[8L 10s]]
| | 2\18 &lt; g &lt; 1\8
| | g = 3\26, 4\34, 5\42-6\50
| | 5g-1\2-(1\2-4g) = 9g-1
|-
| | [[9L 9s|''9L 9s'']] ''= 1L 1s (9)''
| | ''1\18 &lt; g &lt; 1\9''
| | ''g = 2\27, 3\36, 4\45-5\54''
| | ''g-(1\9-g) = 2g-1\9''
|-
| | [[10L 8s]]
| | 7\18 &lt; g &lt; 4\10
| | g = 11\28, 15\38, 19\48-23\58
| | 4g-3\2-(2-5g) = 9g-7\2
|-
| | [[11L 7s]]
| | 13\18 &lt; g &lt; 8\11
| | g = 21\29, 29\40, 37\51-45\62
| | 7g-5-(8-11g) = 18g-13
|-
| | [[12L 6s|''12L 6s'']] ''= 2L 1s (6)''
| | ''1\18 &lt; g &lt; 1\12''
| | ''g = 2\30, 3\42, 4\54-5\66''
| | ''g-(1\6-2g) = 3g-1\6''
|-
| | [[13L 5s]]
| | 11\18 &lt; g &lt; 8\13
| | g = 19\31, 27\44, 35\57-43\70
| | 5g-3-(8-13g) = 18g-11
|-
| | [[14L 4s]]
| | 5\18 &lt; g &lt; 4\14
| | g = 9\32, 13\46, 17\60-21\74
| | 2g-1\2-(2-7g) = 9g-5\2
|-
| | [[15L 3s|''15L 3s'']] ''= 5L 1s (3)''
| | ''1\18 &lt; g &lt; 1\15''
| | ''g = 2\33, 3\48, 4\63-5\78''
| | ''g-(1\3-5g) = 6g-1\3''
|-
| | [[16L 2s|''16L 2s'']] ''= 8L 1s (2)''
| | ''1\18 &lt; g &lt; 1\16''
| | ''g = 2\34, 3\50, 4\66-5\82''
| | ''g-(1\2-8g) = 9g-1\2''
|-
| | [[17L 1s|''17L 1s'']]
| | ''1\18 &lt; g &lt; 1\17''
| | ''g = 2\35, 3\52, 4\69-5\86''
| | ''g-(1-17g) = 18g-1''
|}


=20=  
== 19-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L19s || 19\20 &lt; g &lt; 1 || g = 39\40 || g = //20\21, 21\22, 22\23// || 19g-18 || 1-g ||
|-
|| 2L18s || 9\20 &lt; g &lt; 1\2 || g = 19\40 || g = //10\22//, 11\24, 12\26 || 9g-4 || 1\2-g ||
! | L-s pattern
|| 3L17s || 13\20 &lt; g &lt; 2\3 || g = 79\120 || g = //15\23//, 17\26, 20\29 || 17g-11 || 2-3g ||
! | Generator range
|| 4L16s || 4\20 &lt; g &lt; 1\4 || g = 9\40 || g = 5\24, 6\28, 7\32 || 4g-3\4 || 1\4-g ||
! | Boundaries of best, better, good behavior
|| 5L15s || 3\20 &lt; g &lt; 1\5 || g = 7\40 || g = 4\25, 5\30, 6\35 || 3g-2\5 || 1\5-g ||
! | Large step-Small step
|| 6L14s || 3\20 &lt; g &lt; 1\6 || g = 19\120 || g = 4\26, 5\32, 6\38 || 7g-1 || 1\2-3g ||
|-
|| 7L13s || 17\20 &lt; g &lt; 6\7 || g = 239\280 || g = 23\27, 29\34, 35\41 || 13g-11 || 6-7g ||
| | [[1L 18s]]
|| 8L12s || 2\20 &lt; g &lt; 1\8 || g = 9\80 || g = 3\28, 4\36, 5\44 || 3g-1\4 || 1\4-2g ||
| | 18\19 &lt; g &lt; 1
|| 9L11s || 11\20 &lt; g &lt; 5\9 || g = 199\360 || g = 16\29, 21\38, 26\47 || 11g-6 || 5-9g ||
| | g = ''19\20, 20\21, 21\22-22\23''
|| 10L10s || 1\20 &lt; g &lt; 1\10 || g = 3\40 || g = 2\30, 3\40, 4\50 || g || 1\10-g ||
| | 18g-17-(1-g) = 19g-18
|| 11L9s || 9\20 &lt; g &lt; 5\11 || g = 199\440 || g = 14\31, 19\42, 24\53 || 9g-4 || 5-11g ||
|-
|| 12L8s || 3\20 &lt; g &lt; 2\12 || g = 19\120 || g = 5\32, 7\44, 9\56 || 2g-1\4 || 1\2-3g ||
| | [[2L 17s]]
|| 13L7s || 3\20 &lt; g &lt; 2\13 || g = 79\520 || g = 5\33, 7\46, 9\59 || 7g-1 || 2-13g ||
| | 9\19 &lt; g &lt; 1\2
|| 14L6s || 7\20 &lt; g &lt; 5\14 || g = 99\280 || g = 12\34, 17\48, 22\62 || 3g-1 || 5\2-7g ||
| | g = ''10\21'', ''11\23'', 12\25-13\27
|| 15L5s || 1\20 &lt; g &lt; 1\15 || g = 7\120 || g = 2\35, 3\50, 4\65 || g || 1\5-3g ||
| | 17g-8-(1-2g) = 19g-9
|| 16L4s || 1\20 &lt; g &lt; 1\16 || g = 9\160 || g = 2\36, 3\52, 4\68 || g || 1\4-4g ||
|-
|| 17L3s || 7\20 &lt; g &lt; 6\17 || g = 239\680 || g = 13\37, 19\54, 25\71 || 3g-1 || 6-17g ||
| | [[3L 16s]]
|| 18L2s || 1\20 &lt; g &lt; 1\18 || g = 19\360 || g = 2\38, 3\56, 4\74 || g || 1\2-9g ||
| | 6\19 &lt; g &lt; 1\3
|| 19L1s || 1\20 &lt; g &lt; 1\19 || g = 39\760 || g = 2\39, 3\58, 4\77 || g || -19g+1 ||
| | g = ''7\22'', 8\25, 9\28-10\31
| | 16g-5-(1-3g) = 19g-6
|-
| | [[4L 15s]]
| | 14\19 &lt; g &lt; 3\4
| | g = ''17\23'', 20\27, 23\31-27\35
| | 15g-11-(3-4g) = 19g-14
|-
| | [[5L 14s]]
| | 15\19 &lt; g &lt; 4\5
| | g = 19\24, 23\29, 27\34-31\39
| | 14g-11-(4-5g) = 19g-15
|-
| | [[6L 13s]]
| | 3\19 &lt; g &lt; 1\6
| | g = 4\25, 5\31, 6\37-7\43
| | 13g-2-(1-6g) = 19g-3
|-
| | [[7L 12s]]
| | 8\19 &lt; g &lt; 3\7
| | g = 11\26, 14\33, 17\40-20\47
| | 12g-5-(3-7g) = 19g-8
|-
| | [[8L 11s]]
| | 7\19 &lt; g &lt; 3\8
| | g = 10\27, 13\35, 16\43-19\51
| | 11g-4-(3-8g) = 19g-7
|-
| | [[9L 10s]]
| | 2\19 &lt; g &lt; 1\9
| | g = 3\28, 4\37, 5\46-6\55
| | 10g-1-(1-9g) = 19g-2
|-
| | [[10L 9s]]
| | 17\19 &lt; g &lt; 9\10
| | g = 26\29, 35\39, 44\49-53\59
| | 9g-8-(9-10g) = 19g-17
|-
| | [[11L 8s]]
| | 12\19 &lt; g &lt; 7\11
| | g = 19\30, 26\41, 33\52-40\63
| | 8g-5-(7-11g) = 19g-12
|-
| | [[12L 7s]]
| | 11\19 &lt; g &lt; 7\12
| | g = 18\31, 25\43, 32\55-39\67
| | 7g-4-(7-12g) = 19g-11
|-
| | [[13L 6s]]
| | 16\19 &lt; g &lt; 11\13
| | g = 27\32, 38\45, 49\58-60\71
| | 6g-5-(11-13g) = 19g-16
|-
| | [[14L 5s]]
| | 4\19 &lt; g &lt; 3\14
| | g = 7\33, 10\47, 13\61-16\75
| | 5g-1-(3-14g) = 19g-4
|-
| | [[15L 4s]]
| | 5\19 &lt; g &lt; 4\15
| | g = 9\34, 13\49, 17\64-21\79
| | 4g-1-(4-15g) = 19g-5
|-
| | [[16L 3s]]
| | 13\19 &lt; g &lt; 11\16
| | g = 24\35, 35\51, 46\67-57\83
| | 3g-2-(11-16g) = 19g-13
|-
| | [[17L 2s]]
| | 10\19 &lt; g &lt; 9\17
| | g = 19\36, 28\53, 37\70-46\87
| | 2g-1-(9-17g) = 19g-10
|-
| | [[18L 1s|''18L 1s'']]
| | ''1\19 &lt; g &lt; 1\18''
| | ''g = 2\37, 3\55, 4\73-5\91''
| | ''g-(1-18g) = 19g-1''
|}


=21=  
== 20-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L20s || 20\21 &lt; g &lt; 1 || g = 41\42 || g = //21\22, 22\23, 23\24// || 20g-19 || 1-g ||
|-
|| 2L19s || 10\21 &lt; g &lt; 1\2 || g = 41\84 || g = //11\23, 12\25//, 13\27 || 19g-9 || 1-2g ||
! | L-s pattern
|| 3L18s || 6\21 &lt; g &lt; 1\3 || g = 13\42 || g = //7\24//, 8\27, 9\30 || 6g-5\3 || 1\3-g ||
! | Generator range
|| 4L17s || 5\21 &lt; g &lt; 1\4 || g = 41\168 || g = //6\25//, 7\29, 8\33 || 17g-2 || 1-4g ||
! | Boundaries of best, better, good behavior
|| 5L16s || 4\21 &lt; g &lt; 1\5 || g = 41\210 || g = 5\26, 6\31, 7\36 || 16g-3 || 1-5g ||
! | Large step-Small step
|| 6L15s || 3\21 &lt; g &lt; 1\6 || g = 13\84 || g = 4\27, 5\33, 6\39 || 5g-2\3 || 1\3-2g ||
|-
|| 7L14s || 2\21 &lt; g &lt; 1\7 || g = 5\42 || g = 3\28, 4\35, 5\42 || 2g-1\7 || 1\7-g ||
| | [[1L 19s]]
|| 8L13s || 13\21 &lt; g &lt; 5\8 || g = 209\336 || g = 18\29, 23\37, 28\45 || 13g-8 || 5-8g ||
| | 19\20 &lt; g &lt; 1
|| 9L12s || 2\21 &lt; g &lt; 1\9 || g = 13\126 || g = 3\30, 4\39, 5\48 || 4g-1\3 || 1\3-3g ||
| | g = ''20\21, 21\22, 22\23-23\24''
|| 10L11s || 2\21 &lt; g &lt; 1\10 || g = 41\420 || g = 3\31, 4\41, 5\51 || 11g-1 || 1-10g ||
| | 19g-18-(1-g) = 20g-19
|| 11L10s || 19\21 &lt; g &lt; 10\11 || g = 419\462 || g = 29\32, 39\43, 49\54 || 10g-9 || 10-11g ||
|-
|| 12L9s || 5\21 &lt; g &lt; 3\12 || g = 41\168 || g = 8\33, 11\45, 14\57 || 3g-2\3 || 1-4g ||
| | [[2L 18s]]
|| 13L8s || 8\21 &lt; g &lt; 5\13 || g = 209\546 || g = 13\34, 18\47, 23\70 || 8g-3 || 5-13g ||
| | 9\20 &lt; g &lt; 1\2
|| 14L7s || 1\21 &lt; g &lt; 1\14 || g = 5\84 || g = 2\35, 3\49, 4\63 || g || 1\7-2g ||
| | g = ''10\22'', ''11\24'', 12\26-13\28
|| 15L6s || 4\21 &lt; g &lt; 3\15 || g = 41\210 || g = 7\36, 10\51, 13\66 || 2g-1\3 || 1-5g ||
| | 9g-4-(1\2-g) = 10g-9\2
|| 16L5s || 17\21 &lt; g &lt; 13\16 || g = 545\672 || g = 30\37, 43\53, 56\69 || 5g-4 || 13-16g ||
|-
|| 17L4s || 16\21 &lt; g &lt; 13\17 || g = 545\714 || g = 29\38, 42\55, 55\72 || 4g-3 || 13-17g ||
| | [[3L 17s]]
|| 18L3s || 1\21 &lt; g &lt; 1\18 || g = 13\252 || g = 2\39, 3\57, 4\75 || g || 1\3-6g ||
| | 13\20 &lt; g &lt; 2\3
|| 19L2s || 11\21 &lt; g &lt; 10\19 || g = 419\798 || g = 21\40, 31\59, 41\78 || 2g-1 || 10-19g ||
| | g = ''15\23'', 17\26, 19\29-21\32
|| 20L1s || 1\21 &lt; g &lt; 1\20 || g = 41\840 || g = 2\41, 3\61, 4/81 || g || 1-20g ||
| | 17g-11-(2-3g) = 20g-13
|-
| | [[4L 16s]]
| | 4\20 &lt; g &lt; 1\4
| | g = ''5\24'', 6\28, 7\32-8\36
| | 4g-3\4-(1\4-g) = 5g-1
|-
| | [[5L 15s]]
| | 3\20 &lt; g &lt; 1\5
| | g = ''4\25'', 5\30, 6\35-7\40
| | 3g-2\5-(1\5-g) = 4g-3\5
|-
| | [[6L 14s]]
| | 3\20 &lt; g &lt; 1\6
| | g = 4\26, 5\32, 6\38-7\44
| | 7g-1-(1\2-3g) = 10g-3\2
|-
| | [[7L 13s]]
| | 17\20 &lt; g &lt; 6\7
| | g = 23\27, 29\34, 35\41-41\48
| | 13g-11-(6-7g) = 20g-17
|-
| | [[8L 12s]]
| | 2\20 &lt; g &lt; 1\8
| | g = 3\28, 4\36, 5\44-6\52
| | 3g-1\4-(1\4-2g) = 5g-1\2
|-
| | [[9L 11s]]
| | 11\20 &lt; g &lt; 5\9
| | g = 16\29, 21\38, 26\47-31\56
| | 11g-6-(5-9g) = 20g-11
|-
| | [[10L 10s|''10L 10s'']] ''= 1L 1s (10)''
| | ''1\20 &lt; g &lt; 1\10''
| | ''g = 2\30, 3\40, 4\50-5\60''
| | ''g-(1\10-g) = 2g-1\10''
|-
| | [[11L 9s]]
| | 9\20 &lt; g &lt; 5\11
| | g = 14\31, 19\42, 24\53-29\64
| | 9g-4-(5-11g) = 20g-9
|-
| | [[12L 8s]]
| | 3\20 &lt; g &lt; 2\12
| | g = 5\32, 7\44, 9\56-11\68
| | 2g-1\4-(1\2-3g) = 5g-3\4
|-
| | [[13L 7s]]
| | 3\20 &lt; g &lt; 2\13
| | g = 5\33, 7\46, 9\59-11\72
| | 7g-1-(2-13g) = 20g-3
|-
| | [[14L 6s]]
| | 7\20 &lt; g &lt; 5\14
| | g = 12\34, 17\48, 22\62-27\76
| | 3g-1-(5\2-7g) = 10g-7\2
|-
| | [[15L 5s|''15L 5s'']] ''= 3L 1s (5)''
| | ''1\20 &lt; g &lt; 1\15''
| | ''g = 2\35, 3\50, 4\65-5\80''
| | ''g-(1\5-3g) = 4g-1\5''
|-
| | [[16L 4s|''16L 4s'']] ''= 4L 1s (4)''
| | ''1\20 &lt; g &lt; 1\16''
| | ''g = 2\36, 3\52, 4\68-5\84''
| | ''g-(1\4-4g) = 5g-1\4''
|-
| | [[17L 3s]]
| | 7\20 &lt; g &lt; 6\17
| | g = 13\37, 19\54, 25\71-31\88
| | 3g-1-(6-17g) = 5-14g
|-
| | [[18L 2s|''18L 2s'']] ''= 9L 1s (2)''
| | ''1\20 &lt; g &lt; 1\18''
| | ''g = 2\38, 3\56, 4\74-5\92''
| | ''g-(1\2-9g) = 10g-1\2''
|-
| | [[19L 1s|''19L 1s'']]
| | ''1\20 &lt; g &lt; 1\19''
| | ''g = 2\39, 3\58, 4\77-5\96''
| | ''g-(1-19g) = 20g-1''
|}


=22=  
== 21-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff; color: #000000;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
'''Note: bolded generators from here below generate scales which are well temperaments'''
|| 1L21s || 21\22 &lt; g &lt; 1 || g = 43\44 || g = //22\23,// //23\24,// //24/25// || 21g-20 || 1-g ||
{| class="wikitable"
|| 2L20s || 10\22 &lt; g &lt; 1\2 || g = 21\44 || g = //11\24,// //12\26//, 13\28 || 10g-9\2 || 1\2-g ||
|-
|| 3L19s || 7\22 &lt; g &lt; 1\3 || g = 43\132 || g = //8\25//, 9\28, 10\31 || 19g-6 || 1-3g ||
! | L-s pattern
|| 4L18s || 5\22 &lt; g &lt; 1\4 || g = 21\88 || g = //6\26//, 7\30, 8\34 || 9g-2 || 1\2-2g ||
! | Generator range
|| 5L17s || 13\22 &lt; g &lt; 3\5 || g = 131\220 || g = 16\27, 19\32, 22\37 || 17g-10 || 3-5g ||
! | Boundaries of best, better, good behavior
|| 6L16s || 7\22 &lt; g &lt; 2\6 || g = 43\132 || g = 9\28, 11\34, 13\40 || 8g-5\2 || 1-3g ||
! | Large step-Small step
|| 7L15s || 3\22 &lt; g &lt; 1\7 || g = 43\308 || g = 4\29, 5\36, 6\43 || 15g-2 || 1-7g ||
|-
|| 8L14s || 8\22 &lt; g &lt; 3\8 || g = 65\176 || g = 11\30, 14\38, 17\46 || 7g-5\2 || 3\2-4g ||
| | [[1L 20s]]
|| 9L13s || 17\22 &lt; g &lt; 7\9 || g = 307\396 || g = 24\31, 31\40, 38\49 || 13g-10 || 7-9g ||
| | 20\21 &lt; g &lt; 1
|| 10L12s || 2\22 &lt; g &lt; 1\10 || g = 21\220 || g = 3\32, 4\42, 5\52 || 6g-1\2 || 1\2-5g ||
| | g = ''21\22, 22\23, 23\24-24\25''
|| 11L11s || 1\22 &lt; g &lt; 1\11 || g = 3\44 || g = 2\33, 3\44, 4\55 || g || 1\11-g ||
| | 20g-19-(1-g) = 21g-20
|| 12L10s || 9\22 &lt; g &lt; 5\12 || g = 109\264 || g = 14\34, 19\46, 24\58 || 5g-2 || 5\2-6g ||
|-
|| 13L9s || 5\22 &lt; g &lt; 3\13 || g = 131\572 || g = 8\35, 11\48, 14\61 || 9g-2 || 3-13g ||
| | [[2L 19s]]
|| 14L8s || 3\22 &lt; g &lt; 2\14 || g = 43\308 || g = 5\36, 7\50, 9\64 || 4g-1\2 || 1-7g ||
| | 10\21 &lt; g &lt; 1\2
|| 15L7s || 19\22 &lt; g &lt; 13\15 || g = 571\660 || g = 32\37, 45\52, 58\67 || 7g-6 || 13-15g ||
| | g = ''11\23, 12\25'', 13\27-13\29
|| 16L6s || 4\22 &lt; g &lt; 3\16 || g = 65\352 || g = 7\38, 10\54, 13\70 || 3g-1\2 || 3\2-8g ||
| | 19g-9-(1-2g) = 21g-10
|| 17L5s || 9\22 &lt; g &lt; 7\17 || g = 207\748 || g = 16\39, 23\56, 30\73 || 5g-2 || 7-17g ||
|-
|| 18L4s || 6\22 &lt; g &lt; 5\18 || g = 109\396 || g = 11\40, 16\58, 21\76 || 2g-1\2 || 5\2-9g ||
| | [[3L 18s]]
|| 19L3s || 15\22 &lt; g &lt; 13\19 || g = 571\836 || g = 28\41, 41\60, 54\79 || 3g-2 || 13-19g ||
| | 6\21 &lt; g &lt; 1\3
|| 20L2s || 1\22 &lt; g &lt; 1\20 || g = 21\440 || g = 2\42, 3\62, 4\72 || g || 1\2-10g ||
| | g = ''7\24'', 8\27, 9\30-10\33
|| 21L1s || 1\22 &lt; g &lt; 1\21 || g = 43\924 || g = 2\43, 3\64, 4\85 || g || 1-21g ||
| | 6g-5\3-(1\3-g) = 7g-2
|-
| | [[4L 17s]]
| | 5\21 &lt; g &lt; 1\4
| | g = ''6\25'', 7\29, 8\33-9\37
| | 17g-4-(1-4g) = 21g-5
|-
| | [[5L 16s]]
| | 4\21 &lt; g &lt; 1\5
| | g = ''5\26'', 6\31, 7\36-8\41
| | 16g-3-(1-5g) = 21g-4
|-
| | [[6L 15s]]
| | 3\21 &lt; g &lt; 1\6
| | g = 4\27, 5\33, 6\39-7\45
| | 5g-2\3-(1\3-2g) = 7g-1
|-
| | [[7L 14s]]
| | 2\21 &lt; g &lt; 1\7
| | g = 3\28, 4\35, 5\42-6\49
| | 2g-1\7-(1\7-g) = 3g-2\7
|-
| | [[8L 13s]]
| | 13\21 &lt; g &lt; 5\8
| | g = 18\29, 23\37, 28\45-33\53
| | 13g-8-(5-8g) = 21g-13
|-
| | [[9L 12s]]
| | 2\21 &lt; g &lt; 1\9
| | g = 3\30, 4\39, 5\48-6\57
| | 4g-1\3-(1\3-3g) = 7g-2\3
|-
| | [[10L 11s]]
| | 2\21 &lt; g &lt; 1\10
| | g = 3\31, 4\41, 5\51-6\61
| | 11g-1-(1-10g) = 21g-2
|-
| | [[11L 10s]]
| | 19\21 &lt; g &lt; 10\11
| | g = 29\32, 39\43, 49\54-59\65
| | 10g-9-(10-11g) = 21g-19
|-
| | [[12L 9s]]
| | 5\21 &lt; g &lt; 3\12
| | g = 8\33, 11\45, 14\57-17\69
| | 3g-2\3-(1-4g) = 7g-1\3
|-
| | [[13L 8s]]
| | 8\21 &lt; g &lt; 5\13
| | g = 13\34, 18\47, 23\60-28\73
| | 8g-3-(5-13g) = 21g-8
|-
| | [[14L 7s|''14L 7s'']] ''= 2L 1s (7)''
| | ''1\21 &lt; g &lt; 1\14''
| | ''g = 2\35, 3\49, 4\63-5\77''
| | ''g-(1\7-2g) = 3g-1\7''
|-
| | [[15L 6s]]
| | 4\21 &lt; g &lt; 3\15
| | g = 7\36, 10\51, 13\66-16\81
| | 2g-1\3-(1-5g) = 7g-4\3
|-
| | [[16L 5s]]
| | 17\21 &lt; g &lt; 13\16
| | g = 30\37, 43\53, 56\69-69\85
| | 5g-4-(13-16g) = 21g-17
|-
| | [[17L 4s]]
| | 16\21 &lt; g &lt; 13\17
| | g = 29\38, 42\55, 55\72-68\89
| | 4g-3-(13-17g) = 21g-16
|-
| | [[18L 3s|''18L 3s'']] ''= 6L 1s (3)''
| | ''1\21 &lt; g &lt; 1\18''
| | ''g = 2\39, 3\57, 4\75-5\93''
| | ''g-(1\3-6g) = 7g-1\3''
|-
| | [[19L 2s]]
| | 11\21 &lt; g &lt; 10\19
| | g = '''21\40''', 31\59, 41\78-51\97
| | 2g-1-(10-19g) = 21g-11
|-
| | [[20L 1s|''20L 1s'']]
| | ''1\21 &lt; g &lt; 1\20''
| | ''g = '''2\41''', 3\61, 4\81-5\101''
| | ''g-(1-20g) = 21g-1''
|}


=23=  
== 22-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L22s || &lt;span style="line-height: 15.6000003814697px;"&gt;22\23 &lt; g &lt; 1&lt;/span&gt; || g = 45\46 || g = //23\24, 24\25, 25\26// || 22g-21 || 1-g ||
|-
|| 2L21s || 11\23 &lt; g &lt; 1\2 || g = 45\92 || g = //12\25, 13\27//, 14\29 || 21g-10 || 1-2g ||
! | L-s pattern
|| 3L20s || 15\23 &lt; g &lt; 2\3 || g = 91\138 || g = //17\26//, 19\29, 21\32 || 20g-13 || 1-3g ||
! | Generator range
|| 4L19s || 17\23 &lt; g &lt; 3\4 || g = 137\184 || g = //20\27//, 23\31, 26\35 || 19g-14 || 3-4g ||
! | Boundaries of best, better, good behavior
|| 5L18s || 9\23 &lt; g &lt; 2\5 || g = 91\230 || g = 11\28, 13\33, 15\38 || 18g-7 || 2-5g ||
! | Large step-Small step
|| 6L17s || 19\23 &lt; g &lt; 5\6 || g = 229\276 || g = 24\29, 29\35, 34\41 || 17g-15 || 1-6g ||
|-
|| 7L16s || 13\23 &lt; g &lt; 4\7 || g = 183\322 || g = 17\30,&lt;span style="line-height: 15.6000003814697px;"&gt; 21\37,&lt;/span&gt; 25\44 || 16g-9 || 4-7g ||
| | [[1L 21s]]
|| 8L15s || 20\23 &lt; g &lt; 7\8 || g = 321\368 || g = 27\31, 34\39, 41\47 || 15g-13 || 7-8g ||
| | 21\22 &lt; g &lt; 1
|| 9L14s || 5\23 &lt; g &lt; 2\9 || g = 91\414 || g = 7\32, 9\41, 11\50 || 14g-7 || &lt;span style="line-height: 15.6000003814697px;"&gt;11-9g&lt;/span&gt; ||
| | g = ''22\23, 23\24, 24/25-25\26''
|| 10L13s || 16\23 &lt; g &lt; 7\10 || g = 321\460 || g = 23\33, 30\43, 37\53 || 13g-9 || 7-10g ||
| | 21g-20-(1-g) = 22g-21
|| 11L12s || 2\23 &lt; g &lt; 1\11 || g = 45\506 || g = 3\34, 4\45, 5\56 || 12g-1 || 1-11g ||
|-
|| 12L11s || 21\23 &lt; g &lt; 11\12 || g = 505\552 || g = 32\35, 43\47, 54\59 || &lt;span style="line-height: 15.6000003814697px;"&gt;11g-10&lt;/span&gt; || 11-12g ||
| | [[2L 20s]]
|| 13L10s || 7\23 &lt; g &lt; 4\13 || g = 183\598 || g = 11\36, 15\49, 19\62 || 10g-3 || 4-13g ||
| | 10\22 &lt; g &lt; 1\2
|| 14L9s || 18\23 &lt; g &lt; 11\14 || g = 505\644 || g = 29\37, 40\51, 51\65 || 9g-7 || 11-14g ||
| | g = ''11\24,'' ''12\26'', 13\28-14\30
|| 15L8s || 3\23 &lt; g &lt; 2\15 || g = 91\690 || g = 5\38, 7\53, 9\68 || 8g-1 || 2-15g ||
| | 10g-9\2-(1\2-g) = 11g-5
|| 16L7s || 10\23 &lt; g &lt; 7\16 || g = 321\736 || g = 17\39, 24\55, 31\71 || 7g-3 || &lt;span style="line-height: 15.6000003814697px;"&gt;7-16g&lt;/span&gt; ||
|-
|| 17L6s || 4\23 &lt; g &lt; 3\17 || g = 137\782 || g = 7\40, 10\57, 13\74 || 6g-1 || 3-17g ||
| | [[3L 19s]]
|| 18L5s || 14\23 &lt; g &lt; 11\18 || g = 505\828 || g = 25\41, 36\59, 47\77 || 5g-4 || 11-18g ||
| | 7\22 &lt; g &lt; 1\3
|| 19L4s || 6\23 &lt; g &lt; 5\19 || g = 229\874 || g = 11\42, 16\61, 21\80 || 4g-1 || 5-19g ||
| | g = ''8\25'', 9\28, 10\31-11\34
|| 20L3s || 8\23 &lt; g &lt; 7\20 || g = 321\920 || g = 15\43, 22\63, 29\83 || 3g-1 || 13-20g ||
| | 19g-6-(1-3g) = 22g-7
|| 21L2s || 12\23 &lt; g &lt; 11\21 || g = 505\966 || g = 23\44, 34\65, 45\86 || 2g-1 || 1-21g ||
|-
|| 22L1s || 1\23 &lt; g &lt; 1\22 || g = 45\1012 || g = 2\45, 3\67, 4\89 || g || 1-22g ||
| | [[4L 18s]]
| | 5\22 &lt; g &lt; 1\4
| | g = ''6\26'', 7\30, 8\34-9\38
| | 9g-2-(1\2-2g) = 11g-5\2
|-
| | [[5L 17s]]
| | 13\22 &lt; g &lt; 3\5
| | g = ''16\27'', 19\32, 22\37-25\42
| | 17g-10-(3-5g) = 22g-13
|-
| | [[6L 16s]]
| | 7\22 &lt; g &lt; 2\6
| | g = 9\28, 11\34, 13\40-15\46
| | 8g-5\2-(1-3g) = 11g-7\2
|-
| | [[7L 15s]]
| | 3\22 &lt; g &lt; 1\7
| | g = 4\29, 5\36, 6\43-7\50
| | 15g-2-(1-7g) = 22g-3
|-
| | [[8L 14s]]
| | 8\22 &lt; g &lt; 3\8
| | g = 11\30, 14\38, 17\46-20\54
| | 7g-5\2-(3\2-4g) = 11g-4
|-
| | [[9L 13s]]
| | 17\22 &lt; g &lt; 7\9
| | g = 24\31, 31\40, 38\49-45\58
| | 13g-10-(7-9g) = 22g-17
|-
| | [[10L 12s]]
| | 2\22 &lt; g &lt; 1\10
| | g = 3\32, 4\42, 5\52-6\62
| | 6g-1\2-(1\2-5g) = 11g-1
|-
| | ''[[11L 11s]] = 1L 1s (11)''
| | ''1\22 &lt; g &lt; 1\11''
| | ''g = 2\33, 3\44, 4\55-5\66''
| | ''g-(1\11-g) = 2g-1\11''
|-
| | [[12L 10s]]
| | 9\22 &lt; g &lt; 5\12
| | g = 14\34, 19\46, 24\58-29\70
| | 5g-2-(5\2-6g) = 11g-7\2
|-
| | [[13L 9s]]
| | 5\22 &lt; g &lt; 3\13
| | g = 8\35, 11\48, 14\61-17\74
| | 9g-2-(3-13g) = 22g-5
|-
| | [[14L 8s]]
| | 3\22 &lt; g &lt; 2\14
| | g = 5\36, 7\50, 9\64-11\78
| | 4g-1\2-(1-7g) = 11g-3\2
|-
| | [[15L 7s]]
| | 19\22 &lt; g &lt; 13\15
| | g = 32\37, 45\52, 58\67-71\82
| | 7g-6-(13-15g) = 22g-13
|-
| | [[16L 6s]]
| | 4\22 &lt; g &lt; 3\16
| | g = 7\38, 10\54, 13\70-16\86
| | 3g-1\2-(3\2-8g) = 11g-2
|-
| | [[17L 5s]]
| | 9\22 &lt; g &lt; 7\17
| | g = 16\39, 23\56, 30\73-37\90
| | 5g-2-(7-17g) = 22g-9
|-
| | [[18L 4s]]
| | 6\22 &lt; g &lt; 5\18
| | g = '''11\40''', 16\58, 21\76-26\94
| | 2g-1\2-(5\2-9g) = 11g-3
|-
| | [[19L 3s]]
| | 15\22 &lt; g &lt; 13\19
| | g = '''28\41''', 41\60, 54\79-67\98
| | 3g-2-(13-19g) = 22g-15
|-
| | ''[[20L 2s]] = 10L 1s (2)''
| | ''1\22 &lt; g &lt; 1\20''
| | ''g = '''2\42''', 3\62, 4\82-5\102''
| | ''g-(1\2-10g) = 11g-1\2''
|-
| | [[21L 1s|''21L 1s'']]
| | ''1\22 &lt; g &lt; 1\21''
| | ''g = '''2\43''', 3\64, 4\85-5\106''
| | ''g-(1-21g) = 22g-1''
|}


=24=  
== 23-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L23s || 23\24 &lt; g &lt; 1 || g = 47\48 || g = //24\25, 25\26, 26\27// || 23g-22 || 1-g ||
|-
|| 2L22s || 11\24 &lt; g &lt; 1\2 || g = 23\48 || g = //12\26, 13\28//, 14\30 || 1/2-g || 11g-5 ||
! | L-s pattern
|| 3L21s || 7\24 &lt; g &lt; 1\3 || g = 15\48 || g = //8\27//, 9\30, 10\33 || 2/3-2g || g-1/3 ||
! | Generator range
|| 4L20s || 5\24 &lt; g &lt; 1\4 || g = 11\48 || g = //6\28//, 7\32, 8\36 || 5g-1 || 1/4-g ||
! | Boundaries of best, better, good behavior
|| 5L19s || 19\24 &lt; g &lt; 4\5 || g = 191\240 || g = //23\29//, 27\34, 31\39 || 19g-15 || 4-5g ||
! | Large step-Small step
|| 6L18s || 3\24 &lt; g &lt; 1\6 || g = 7\48 || g = 4\30, 5\36, 6\42 || 3g-1\3 || 1\6-g ||
|-
|| 7L17s || 17\24 &lt; g &lt; 5\7 || g = 239\336 || g = 22\31, 27\38, 32\45 || 5-17g || 7g-2 ||
| | [[1L 22s]]
|| 8L16s || 2\24 &lt; g &lt; 1\8 || g = 5\48 || g = 3\32, 4\40, 5\48 || 2g-1\8 || 1\8-g ||
| | 22\23 &lt; g &lt; 1
|| 9L15s || 5\24 &lt; g &lt; 2\9 || g = 31\144 || g = 7\33, 9\42, 11\51 || 5g-1 || 2\3-3g ||
| | g = ''23\24, 24\25, 25\26-26\27''
|| 10L14s || 7\24 &lt; g &lt; 3\10 || g = 71\240 || g = 10\34, 13\44, 16\54 || 7g-2 || 3\2-5g ||
| | 22g-21-(1-g) = 23g-22
|| 11L13s || 13\24 &lt; g &lt; 6\11 || g = 287\528 || g = 19\35, 25\46, 31\57 || 13g-7 || 6-11g ||
|-
|| 12L12s || 1\24 &lt; g &lt; 1\12 || g = 3\48 || g = 2\36, 3\48, 4\60 || g || 1\12-g ||
| | [[2L 21s]]
|| 13L11s || 11\24 &lt; g &lt; 6\13 || g = 287\624 || g = 17\37, 23\50, 29\63 || 11g-5 || 6-13g ||
| | 11\23 &lt; g &lt; 1\2
|| 14L10s || 17\24 &lt; g &lt; 10\14 || g = 239\336 || g = 27\38, 37\52, 47\66 || 3\2-5g || 7g-2 ||
| | g = ''12\25, 13\27'', 14\29-15\31
|| 15L9s || 3\24 &lt; g &lt; 2\15 || g = 31\240 || g = 5\39, 7\54, 9\69 || 3g-1\3 || 2\3-5g ||
| | 21g-10-(1-2g) = 23g-11
|| 16L8s || 1\24 &lt; g &lt; 1\16 || g = 5\96 || g = 2\40, 3\56, 4\72 || g || 1\8-2g ||
|-
|| 17L7s || 7\24 &lt; g &lt; 5\17 || g = 239\816 || g = 12\41, 17\58, 22\75 || 4-7g || 17g-12 ||
| | [[3L 20s]]
|| 18L6s || 1\24 &lt; g &lt; 1\18 || g = 7\144 || g = 2\42, 3\60, 4\78 || g || 1\6-3g ||
| | 15\23 &lt; g &lt; 2\3
|| 19L5s || 5\24 &lt; g &lt; 4\19 || g = 191\912 || g = 9\43, 13\62, 17\81 || 5g-5 || 4-19g ||
| | g = ''17\26'', 19\29, 21\32-23\35
|| 20L4s || 1\24 &lt; g &lt; 1\20 || g = 11\240 || g = 2\44, 3\64, 4\84 || g || 1\4-5g ||
| | 20g-13-(1-3g) = 23g-14
|| 21L3s || 1\24 &lt; g &lt; 1\21 || g = 15\336 || g = 2\45, 3\66, 4\87 || g || 1\3-7g ||
|-
|| 22L2s || 1\24 &lt; g &lt; 1\22 || g = 23\264 || g = 2\46, 3\68, 4\90 || g || 1\2-11g ||
| | [[4L 19s]]
|| 23L1s || 1\24 &lt; g &lt; 1\23 || g = 47\1104 || g = 2\47, 3\70, 4\93 || g || 1-23g ||
| | 17\23 &lt; g &lt; 3\4
| | g = ''20\27'', 23\31, 26\35-29\39
| | 19g-14-(3-4g) = 23g-17
|-
| | [[5L 18s]]
| | 9\23 &lt; g &lt; 2\5
| | g = ''11\28'', 13\33, 15\38-17\43
| | 18g-7-(2-5g) = 13g-9
|-
| | [[6L 17s]]
| | 19\23 &lt; g &lt; 5\6
| | g = 24\29, 29\35, 34\41-39\47
| | 17g-15-(1-6g) = 23g-16
|-
| | [[7L 16s]]
| | 13\23 &lt; g &lt; 4\7
| | g = 17\30, 21\37, 25\44-29\51
| | 16g-9-(4-7g) = 23g-13
|-
| | [[8L 15s]]
| | 20\23 &lt; g &lt; 7\8
| | g = 27\31, 34\39, 41\47-48\55
| | 15g-13-(7-8g) = 23g-20
|-
| | [[9L 14s]]
| | 5\23 &lt; g &lt; 2\9
| | g = 7\32, 9\41, 11\50-13\59
| | 14g-3-(2-9g) = 23g-5
|-
| | [[10L 13s]]
| | 16\23 &lt; g &lt; 7\10
| | g = 23\33, 30\43, 37\53-44\63
| | 13g-9-(7-10g) = 23g-16
|-
| | [[11L 12s]]
| | 2\23 &lt; g &lt; 1\11
| | g = 3\34, 4\45, 5\56-6\67
| | 12g-1-(1-11g) = 23g-2
|-
| | [[12L 11s]]
| | 21\23 &lt; g &lt; 11\12
| | g = 32\35, 43\47, 54\59-65\71
| | 11g-10-(11-12g) = 23g-21
|-
| | [[13L 10s]]
| | 7\23 &lt; g &lt; 4\13
| | g = 11\36, 15\49, 19\62-23\75
| | 10g-3-(4-13g) = 23g-7
|-
| | [[14L 9s]]
| | 18\23 &lt; g &lt; 11\14
| | g = 29\37, 40\51, 51\65-62\79
| | 9g-7-(11-14g) = 23g-18
|-
| | [[15L 8s]]
| | 3\23 &lt; g &lt; 2\15
| | g = 5\38, 7\53, 9\68-11\83
| | 8g-1-(2-15g) = 23g-3
|-
| | [[16L 7s]]
| | 10\23 &lt; g &lt; 7\16
| | g = 17\39, 24\55, 31\71-38\87
| | 7g-3-(7-16g) = 23g-10
|-
| | [[17L 6s]]
| | 4\23 &lt; g &lt; 3\17
| | g = '''7\40''', 10\57, 13\74-16\91
| | 6g-1-(3-17g) = 23g-4
|-
| | [[18L 5s]]
| | 14\23 &lt; g &lt; 11\18
| | g = '''25\41''', 36\59, 47\77-58\95
| | 5g-4-(11-18g) = 23g-15
|-
| | [[19L 4s]]
| | 6\23 &lt; g &lt; 5\19
| | g = '''11\42''', 16\61, 21\80-26\99
| | 4g-1-(5-19g) = 23g-6
|-
| | [[20L 3s]]
| | 8\23 &lt; g &lt; 7\20
| | g = '''15\43''', 22\63, 29\83-36\103
| | 3g-1-(13-20g) = 23g-14
|-
| | [[21L 2s]]
| | 12\23 &lt; g &lt; 11\21
| | g = '''23\44''', 34\65, 45\86-56\107
| | 2g-1-(11-21g) = 23g-12
|-
| | [[22L 1s|''22L 1s'']]
| | ''1\23 &lt; g &lt; 1\22''
| | ''g = '''2\45''', 3\67, 4\89-5\111''
| | ''g-(1-22g) = 23g-1''
|}


=25=  
== 24-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L24s || 24\25 &lt; g &lt; 1 || g = 49\50 || g = //25\26, 26\27, 27\28// || 24g-23 || 1-g ||
|-
|| 2L23s || 12\25 &lt; g &lt; 1\2 || g = 49\100 || g = //13\27, 14\29//, 15\31 || 23g-11 || 1-2g ||
! | L-s pattern
|| 3L22s || 8\25 &lt; g &lt; 1\3 || g = 49\150 || g = //9\28//, 10\31, 11\34 || 22g-7 || 1-3g ||
! | Generator range
|| 4L21s || 6\25 &lt; g &lt; 1\4 || g = 49\200 || g = //7\29//, 8\33, 9\37 || 21g-5 || 1-4g ||
! | Boundaries of best, better, good behavior
|| 5L20s || 4\25 &lt; g &lt; 1\5 || g = 9\50 || g = //5\30//, 6\35, 7\40 || 4g-3\5 || 1\5-g ||
! | Large step-Small step
|| 6L19s || 4\25 &lt; g &lt; 1\6 || g = 49\300 || g = 5\31, 6\37, 7\43 || 19g-3 || 1-6g ||
|-
|| 7L18s || 7\25 &lt; g &lt; 2\7 || g = 99\350 || g = 9\32, 11\39, 13\46 || 18g-5 || 2-7g ||
| | [[1L 23s]]
|| 8L17s || 3\25 &lt; g &lt; 1\8 || g = 49\400 || g = 4\33, 5\41, 6\47 || &lt;span style="line-height: 15.6000003814697px;"&gt;17g-2&lt;/span&gt; || 1-8g ||
| | 23\24 &lt; g &lt; 1
|| 9L16s || 11\25 &lt; g &lt; 4\9 || g = 199\450 || g = 15\34, 19\43, 23\52 || 16g-7 || &lt;span style="line-height: 15.6000003814697px;"&gt;-9g+4&lt;/span&gt; ||
| | g = ''24\25, 25\26, 26\27-27\28''
|| 10L15s || 2\25 &lt; g &lt; 1\10 || g = 9\100 || g = 3\35, 4\45, 5\55 || 3g-1\5 || 1\5-2g ||
| | 23g-22-(1-g) = 24g-23
|| 11L14s || 9\25 &lt; g &lt; 4\11 || g = 199\550 || g = 13\36, 17\47, 21\58 || 14g-5 || -11g+4 ||
|-
|| 12L13s || 2\25 &lt; g &lt; 1\12 || g = 49\600 || g = 3\37, 4\49, 5\61 || 13g-1 || 1-12g ||
| | [[2L 22s]]
|| 13L12s || 23\25 &lt; g &lt; 12\13 || g = 599\650 || g = 35\38, 47\51, 59\64 || 12g-11 || 12-13g ||
| | 11\24 &lt; g &lt; 1\2
|| 14L11s || 16\25 &lt; g &lt; 9\14 || g = 449\700 || g = 25\39, 34\53, 43\67 || 11g-7 || -14g+9 ||
| | g = ''12\26, 13\28, 14\30''-15\32
|| 15L10s || 3\25 &lt; g &lt; 2\15 || g = 19\150 || g = 5\40, 7\55, 9\70 || 2g-1\5 || 2\5-3g ||
| | 11g-5-(1/2-g) = 12g-11/2
|| 16L9s || 14\25 &lt; g &lt; 9\16 || g = 449\800 || g = 23\41, 32\57, 41\73 || 9g-5 || 9-16g ||
|-
|| 17L8s || 22\25 &lt; g &lt; 15\17 || g = 749\850 || g = 37\42, 52\59, 67\76 || 8g-7 || 15-17g ||
| | [[3L 21s]]
|| 18L7s || 18\25 &lt; g &lt; 13\18 || g = 649\900 || g = 31\43, 44\61, 57\79 || 7g-5 || 13-18g ||
| | 7\24 &lt; g &lt; 1\3
|| 19L6s || 21\25 &lt; g &lt; 16\19 || g = 799\950 || g = 37\44, 53\63, 69\82 || 6g-5 || 16-19g ||
| | g = ''8\27, 9\30'', 10\33-11\36
|| 20L5s || 1\25 &lt; g &lt; 1\20 || g = 9\200 || g = 2\45, 3\65, 4\85 || g || 1\5-4g ||
| | 7g-2-(1/3-g) = 8g-7/3
|| 21L4s || 16\21 &lt; g &lt; 19\25 || g = 799\1050 || g = 35\46, 51\67, 71\88 || 4g-3 || 16-21g ||
|-
|| 22L3s || 17\25 &lt; g &lt; 15\22 || g = 749\1100 || g = 32\47, 47\69, 62\91 || 3g-2 || 15-22g ||
| | [[4L 20s]]
|| 23L2s || 13\25 &lt; g &lt; 12\23 || g = 599\1150 || g = 25\48, 37\71, 49\94 || 2g-1 || 11-23g ||
| | 5\24 &lt; g &lt; 1\4
|| 24L1s || 1\25 &lt; g &lt; 1\24 || g = 49\1200 || g = 2\49, 3\73, 4\97 || g || 1-24g ||
| | g = ''6\28'', 7\32, 8\36-9\40
| | 5g-1-(1/4-g) = 6g-5/4
|-
| | [[5L 19s]]
| | 19\24 &lt; g &lt; 4\5
| | g = ''23\29'', 27\34, 31\39-35\44
| | 19g-15-(4-5g) = 24g-19
|-
| | [[6L 18s]]
| | 3\24 &lt; g &lt; 1\6
| | g = ''4\30'', 5\36, 6\42-7\48
| | 3g-1\3-(1\6-g) = 4g-1\2
|-
| | [[7L 17s]]
| | 17\24 &lt; g &lt; 5\7
| | g = 22\31, 27\38, 32\45-37\52
| | 17g-12-(5-7g) = 24g-17
|-
| | [[8L 16s]]
| | 2\24 &lt; g &lt; 1\8
| | g = 3\32, 4\40, 5\48-6\56
| | 2g-1\8-(1\8-g) = 3g-1\4
|-
| | [[9L 15s]]
| | 5\24 &lt; g &lt; 2\9
| | g = 7\33, 9\42, 11\51-13\60
| | 5g-1-(2\3-3g) = 8g-5\3
|-
| | [[10L 14s]]
| | 7\24 &lt; g &lt; 3\10
| | g = 10\34, 13\44, 16\54-19\64
| | 7g-2-(3\2-5g) = 12g-7\2
|-
| | [[11L 13s]]
| | 13\24 &lt; g &lt; 6\11
| | g = 19\35, 25\46, 31\57-37\68
| | 13g-7-(6-11g) = 24g-12
|-
| | ''[[12L 12s]] = 1L 1s (12)''
| | ''1\24 &lt; g &lt; 1\12''
| | ''g = 2\36, 3\48, 4\60-5\72''
| | ''g-(1\12-g) = 2g-1\12''
|-
| | [[13L 11s]]
| | 11\24 &lt; g &lt; 6\13
| | g = 17\37, 23\50, 29\63-35\76
| | 11g-5-(6-13g) = 24g-11
|-
| | [[14L 10s]]
| | 17\24 &lt; g &lt; 10\14
| | g = 27\38, 37\52, 47\66-57\80
| | 5g-7\2-(5-7g) = 12g-17\2
|-
| | [[15L 9s]]
| | 3\24 &lt; g &lt; 2\15
| | g = 5\39, 7\54, 9\69-11\84
| | 3g-1\3-(2\3-5g) = 8g-1
|-
| | ''[[16L 8s]] = 2L 1s (8)''
| | ''1\24 &lt; g &lt; 1\16''
| | ''g = '''2\40''', 3\56, 4\72-5\88''
| | ''g-(1\8-2g) = 3g-1\8''
|-
| | [[17L 7s]]
| | 7\24 &lt; g &lt; 5\17
| | g = '''12\41''', 17\58, 22\75-27\92
| | 7g-2-(5-17g) = 24g-7
|-
| | ''[[18L 6s]] = 3L 1s (6)''
| | ''1\24 &lt; g &lt; 1\18''
| | ''g = '''2\42''', 3\60, 4\78-5\96''
| | ''g-(1\6-3g) = 4g-1\6''
|-
| | [[19L 5s]]
| | 5\24 &lt; g &lt; 4\19
| | g = '''9\43''', 13\62, 17\81-21\100
| | 5g-1-(4-19g) = 24g-5
|-
| | ''[[20L 4s]] = 5L 1s (4)''
| | ''1\24 &lt; g &lt; 1\20''
| | ''g = '''2\44''', 3\64, 4\84-5\104''
| | ''g-(1\4-5g) = 6g-1\4''
|-
| | ''[[21L 3s]] = 7L 1s (3)''
| | ''1\24 &lt; g &lt; 1\21''
| | ''g = '''2\45''', 3\66, 4\87-5\108''
| | ''g-(1\3-7g) = 8g-1\3''
|-
| | ''[[22L 2s]] = 11L 1s (2)''
| | ''1\24 &lt; g &lt; 1\22''
| | ''g = '''2\46''', 3\68, 4\90-5\112''
| | ''g-(1\2-11g) = 12g-1\2''
|-
| | [[23L 1s|''23L 1s'']]
| | ''1\24 &lt; g &lt; 1\23''
| | ''g = '''2\47''', 3\70, 4\93-5\116''
| | ''g+1-23g = 24g-1''
|}


=26=  
== 25-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L25s || 25\26 &lt; g &lt; 1 || g = 51\52 || g = //26\27, 27\28, 28\29// || 25g-24 || 1-g ||
|-
|| 2L24s || 12\26 &lt; g &lt; 1\2 || g = 25\52 || g = //13\28, 14\30//, 15\32 || 12g-11\2 || 1\2-g ||
! | L-s pattern
|| 3L23s || 17\26 &lt; g &lt; 2\3 || g = 103\156 || g = //19\29//, 21\32, 23\35 || 23g-15 || 2-3g ||
! | Generator range
|| 4L22s || 6\26 &lt; g &lt; 1\4 || g = 25\104 || g = //7\30//, 8\34, 9\38 || 11g-5\2 || &lt;span style="line-height: 15.6000003814697px;"&gt;1\2-2g&lt;/span&gt; ||
! | Boundaries of best, better, good behavior
|| 5L21s || 5\26 &lt; g &lt; 1\5 || g = 51\260 || g = //6\31//, 7\36, 8\41 || 21g-4 || 1-5g ||
! | Large step-Small step
|| 6L20s || 4\26 &lt; g &lt; 1\6 || g = 25\156 || g = 5\32, 6\38, 7\44 || 10g-3\2 || 1\2-3g ||
|-
|| 7L19s || 11\26 &lt; g &lt; 3\7 || g = 155\364 || g = 14\33, 17\40, 20\47 || 19g-8 || 3-7g ||
| | [[1L 24s]]
|| 8L18s || 3\26 &lt; g &lt; 1\8 || g = 25\208 || g = 4\34, 5\42, 6\50 || 9g-1 || 1\2-4g ||
| | 24\25 &lt; g &lt; 1
|| 9L17s || 23\26 &lt; g &lt; 8\9 || g = 415\468 || g = 31\35, 39\44, 47\53 || 17g-15 || 8-9g ||
| | g = ''25\26, 26\27, 27\28-28\29''
|| 10L16s || 5\26 &lt; g &lt; 2\10 || g = 51\260 || g = 7\36, 9\46, 11\56 || 8g-3\2 || 1-5g ||
| | 24g-23-(1-g) = 25g-24
|| 11L15s || 7\26 &lt; g &lt; 3\11 || g = 155\572 || g = 10\37, 13\48, 16\59 || 15g-4 || 3-11g ||
|-
|| 12L14s || 2\26 &lt; g &lt; 1\12 || g = 25\312 || g = 3\38, 4\50, 5\62 || 7g-1\2 || 1\2-6g ||
| | [[2L 23s]]
|| 13L13s || 1\26 &lt; g &lt; 1\13 || g = 3\52 || g = 2\39, 3\52, 4\65 || g || 1\13-g ||
| | 12\25 &lt; g &lt; 1\2
|| &lt;span style="line-height: 15.6000003814697px;"&gt;14L12s&lt;/span&gt; || 11\26 &lt; g &lt; 6\14 || g = 155\364 || g = 17\40, 23\54, 29\68 || 6g-5\2 || 3-7g ||
| | g = ''13\27, 14\29, 15\31''-16\33
|| &lt;span style="line-height: 15.6000003814697px;"&gt;15L11s&lt;/span&gt; || 19\26 &lt; g &lt; 11\15 || g = 571\780 || g = 30\41, 41\56, 52\71 || 11g-8 || 11-15g ||
| | 23g-11-(1-2g) = 25g-13
|| &lt;span style="line-height: 15.6000003814697px;"&gt;16L10s&lt;/span&gt; || 8\26 &lt; g &lt; 5\16 || g = 129\416 || g = 13\42, 18\58, 23\74 || 13\2-8g || 5g-4 ||
|-
|| &lt;span style="line-height: 15.6000003814697px;"&gt;17L9s&lt;/span&gt; || 3\26 &lt; g &lt; 2\17 || g = 103\884 || g = 5\43, 7\60, 9\77 || 9g-1 || 2-17g ||
| | [[3L 22s]]
|| &lt;span style="line-height: 15.6000003814697px;"&gt;18L&lt;/span&gt;8s || 10\26 &lt; g &lt; 7\18 || g = 181\468 || g = 17\44, 24\62, 31\80 || 4g-7\2 || 7-9g ||
| | 8\25 &lt; g &lt; 1\3
|| &lt;span style="line-height: 15.6000003814697px;"&gt;19L&lt;/span&gt;7s || 15\26 &lt; g &lt; 11\19 || g = 571\988 || g = 26\45, 37\64, 48\83 || 7g-4 || 11-19g ||
| | g = ''9\28'', ''10\31'', 11\34-12\37
|| &lt;span style="line-height: 15.6000003814697px;"&gt;20L&lt;/span&gt;6s || 9\26 &lt; g &lt; 7\20 || g = 181\520 || g = 16\46, 23\66, 30\86 || 3g-1 || 7\2-10g ||
| | 22g-7-(1-3g) = 25g-8
|| &lt;span style="line-height: 15.6000003814697px;"&gt;21L&lt;/span&gt;5s || 21\26 &lt; g &lt; 17\21 || g = 883\1092 || g = 38\47, 55\68, 72\89 || 5g-4 || 16-21g ||
|-
|| &lt;span style="line-height: 15.6000003814697px;"&gt;22L&lt;/span&gt;4s || 7\26 &lt; g &lt; 6\22 || g = 155\572 || g = 13\48, 19\70, 25\92 || 2g-1\2 || 3-11g ||
| | [[4L 21s]]
|| &lt;span style="line-height: 15.6000003814697px;"&gt;23L&lt;/span&gt;3s || 9\26 &lt; g &lt; 8\23 || g = 415\1196 || g = 17\49, 25\72, 33/95 || 3g-1 || 8-23g ||
| | 6\25 &lt; g &lt; 1\4
|| &lt;span style="line-height: 15.6000003814697px;"&gt;24L&lt;/span&gt;2s || 1\26 &lt; g &lt; 1\24 || g = 25\312 || g = 2\50, 3\74, 4\98 || g || 1\2-12g ||
| | g = ''7\29'', 8\33, 9\37-10\41
|| 25L1s || 1\26 &lt; g &lt; 1\25 || g = 51\1300 || g = 2\51, 3\76, 4\101 || g || 1-25g ||
| | 21g-5-(1-4g) = 25g-6
|-
| | [[5L 20s]]
| | 4\25 &lt; g &lt; 1\5
| | g = ''5\30'', 6\35, 7\40-8\45
| | 4g-3\5-(1\5-g) = 5g-4\5
|-
| | [[6L 19s]]
| | 4\25 &lt; g &lt; 1\6
| | g = ''5\31'', 6\37, 7\43-8\49
| | 19g-3-(1-6g) = 25g-4
|-
| | [[7L 18s]]
| | 7\25 &lt; g &lt; 2\7
| | g = 9\32, 11\39, 13\46-15\53
| | 18g-5-(2-7g) = 25g-7
|-
| | [[8L 17s]]
| | 3\25 &lt; g &lt; 1\8
| | g = 4\33, 5\41, 6\49-7\57
| | 17g-2-(1-8g) = 25g-3
|-
| | [[9L 16s]]
| | 11\25 &lt; g &lt; 4\9
| | g = 15\34, 19\43, 23\52-27\61
| | 16g-7-(4-9g) = 25g-11
|-
| | [[10L 15s]]
| | 2\25 &lt; g &lt; 1\10
| | g = 3\35, 4\45, 5\55-6\65
| | 3g-1\5-(1\5-2g) = 5g-2\5
|-
| | [[11L 14s]]
| | 9\25 &lt; g &lt; 4\11
| | g = 13\36, 17\47, 21\58-25\69
| | 14g-5-(4-11g) = 25g-9
|-
| | [[12L 13s]]
| | 2\25 &lt; g &lt; 1\12
| | g = 3\37, 4\49, 5\61-6\73
| | 13g-1-(1-12g) = 25g-2
|-
| | [[13L 12s]]
| | 23\25 &lt; g &lt; 12\13
| | g = 35\38, 47\51, 59\64-71\77
| | 12g-11-(12-13g) = 25g-23
|-
| | [[14L 11s]]
| | 16\25 &lt; g &lt; 9\14
| | g = 25\39, 34\53, 43\67-52\81
| | 11g-7-(9-14g) = 25g-16
|-
| | [[15L 10s]]
| | 3\25 &lt; g &lt; 2\15
| | g = '''5\40''', 7\55, 9\70-11\85
| | 2g-1\5-(2\5-3g) = 5g-1\5
|-
| | [[16L 9s]]
| | 14\25 &lt; g &lt; 9\16
| | g = '''23\41''', 32\57, 41\73-50\89
| | 9g-5-(9-16g) = 25g-14
|-
| | [[17L 8s]]
| | 22\25 &lt; g &lt; 15\17
| | g = '''37\42''', 52\59, 67\76-82\93
| | 8g-7-(15-17g) = 25g-22
|-
| | [[18L 7s]]
| | 18\25 &lt; g &lt; 13\18
| | g = '''31\43''', 44\61, 57\79-80\97
| | 7g-5-(13-18g) = 25g-18
|-
| | [[19L 6s]]
| | 21\25 &lt; g &lt; 16\19
| | g = '''37\44''', 53\63, 69\82-85\101
| | 6g-5+16-19g = 25g-21
|-
| | ''[[20L 5s]] = 4L 1s (5)''
| | ''1\25 &lt; g &lt; 1\20''
| | ''g = '''2\45''', 3\65, 4\85-5\105''
| | ''g-(1\5-4g) = 5g-1\5''
|-
| | [[21L 4s]]
| | 19\25 &lt; g &lt; 16\21
| | g = '''35\46''', 51\67, 67\88-83\109
| | 4g-3-(16-21g) = 25g-19
|-
| | [[22L 3s]]
| | 17\25 &lt; g &lt; 15\22
| | g = '''32\47''', 47\69, 62\91-77\113
| | 3g-2-(15-22g) = 25g-17
|-
| | [[23L 2s]]
| | 13\25 &lt; g &lt; 12\23
| | g = '''25\48''', 37\71, 49\94-61\117
| | 2g-1-(11-23g) = 25g-13
|-
| | [[24L 1s|''24L 1s'']]
| | ''1\25 &lt; g &lt; 1\24''
| | ''g = '''2\49''', 3\73, 4\97-5\121''
| | ''g-(1-24g) = 25g-1''
|}


=27=  
== 26-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L26s || 26\27 &lt; g &lt; 1 || g = 53\54 || &lt;span style="line-height: 15.6000003814697px;"&gt;g = //27\28,//&lt;/span&gt; //28\29, 29\30// || 26g-25 || 1-g ||
|-
|| 2L25s || 13\27 &lt; g &lt; 1\2 || g = 53\108 || g = //14\29, 15\31//, 16\33 || 25g-12 || 1-2g ||
! | L-s pattern
|| 3L24s || 8\27 &lt; g &lt; 1\3 || g = 17\54 || g = //9\30//, 10\33, 11\36 || 8g-7\3 || 1-3g ||
! | Generator range
|| 4L23s || 20\27 &lt; g &lt; 3\4 || g = 161\216 || g = //23\31//, 26\35, 29\39 || 23g-17 || 3-4g ||
! | Boundaries of best, better, good behavior
|| 5L22s || 16\27 &lt; g &lt; 3\5 || g = 161\270 || g = //19\32//, 22\37, 25\42 || 22g-13 || 3-5g ||
! | Large step-Small step
|| 6L21s || 4\27 &lt; g &lt; 1\6 || g = 17\108 || g = 5\33, 6\39, 7\45 || 7g-1 || 1\3-2g ||
|-
|| 7L20s || 23\27 &lt; g &lt; 6\7 || g = 323\378 || g = 29\34, 35\41, 41\48 || 20g-17 || 6-7g ||
| | [[1L 25s]]
|| 8L19s || 10\27 &lt; g &lt; 3\8 || g = 161\432 || g = 13\35, 16\43, 19\51 || 19g-7 || 3-8g ||
| | 25\26 &lt; g &lt; 1
|| 9L18s || 2\27 &lt; g &lt; 1\9 || g = 5\54 || g = 3\36, 4\45, 5\54 || 2g-1\9 || 1\9-g ||
| | g = ''26\27, 27\28, 28\29-29\30''
|| 10L17s || 8\27 &lt; g &lt; 3\10 || g = 161\540 || g = 11\37, 14\47, 17\57 || 17g-5 || 3-10g ||
| | 25g-24-(1-g) = 25g-24
|| 11L16s || 22\27 &lt; g &lt; 9\11 || g = 485\594 || g = 31\38, 40\49, 49\60 || 16g-13 || 9-11g ||
|-
|| 12L15s || 2\27 &lt; g &lt; 1\12 || g = 17\216 || g = 3\39, 4\51, 5\63 || 5g-1\3 || 1\3-4g ||
| | [[2L 24s]]
|| 13L14s || 2\27 &lt; g &lt; 1\13 || g = 53\702 || g = 3\40, 4\53, 5\66 || 14g-1 || 1-13g ||
| | 12\26 &lt; g &lt; 1\2
|| 14L13s || 25\27 &lt; g &lt; 13\14 || g = 701\756 || g = 38\41, 51\55, 64\69 || 13g-12 || 13-14g ||
| | g = ''13\28, 14\30, 15\32''-16\34
|| 15L12s || 7\27 &lt; g &lt; 4\15 || g = 71\270 || g = 11\42, 15\57, 19\72 || 4g-4 || 14\3-5g ||
| | 12g-11\2-(1\2-g) = 13g-6
|| 16L11s || 5\27 &lt; g &lt; 3\16 || g = 161\864 || g = 8\43, 11\59, 14\75 || 11g-2 || 3-16g ||
|-
|| 17L10s || 19\27 &lt; g &lt; 12\17 || g = 647\918 || g = 31\44, 43\61, 55\78 || 10g-7 || 12-17g ||
| | [[3L 23s]]
|| 18L9s || 1\27 &lt; g &lt; 1\18 || g = 5\108 || g = 2\45, 3\63, 4\81 || g || 1\9-2g ||
| | 17\26 &lt; g &lt; 2\3
|| 19L8s || 17\27 &lt; g &lt; 12\19 || g = 647\1026 || g = 29\46, 41\65, 53\84 || 8g-5 || 12-19g ||
| | g = ''19\29'', ''21\32'', 23\35-25\38
|| 20L7s || 4\27 &lt; g &lt; 3\20 || g = 161\1080 || g = 7\47, 10\67, 13\87 || 7g-1 || 3-20g ||
| | 23g-15-(2-3g) = 26g-17
|| 21L6s || 5\27 &lt; g &lt; 4\21 || g = 71\378 || g = 9\48, 13\69, 17\90 || 2g-1\3 || 4-7g ||
|-
|| 22L5s || &lt;span style="line-height: 15.6000003814697px;"&gt;11&lt;/span&gt;\27 &lt; g &lt; 9\22 || g = 485\1188 || g = 20\49, 29\71, 38\93 || 5g-2 || 9-22g ||
| | [[4L 22s]]
|| 23L4s || 7\27 &lt; g &lt; 6\23 || g = 323\1242 || g = 13\50, 19\73, 25\96 || 4g-1 || 6-23g ||
| | 6\26 &lt; g &lt; 1\4
|| 24L3s || 1\27 &lt; g &lt; 1\24 || g = 17\432 || g = 2\51, 3\75, 4\99 || g || 1\3-8g ||
| | g = ''7\30'', 8\34, 9\38-10\42
|| 25L2s || 14\27 &lt; g &lt; 13\25 || g = 701\1350 || g = 27\52, 40\77, 53\102 || 2g-1 || 13-25g ||
| | 11g-5\2-(1\2-2g) = 13g-3
|| 26L1s || 1\27 &lt; g &lt; 1\26 || g = 53\1404 || g = 2\53, 3\79, 4\105 || g || 1-26g ||
|-
| | [[5L 21s]]
| | 5\26 &lt; g &lt; 1\5
| | g = ''6\31'', 7\36, 8\41-9\46
| | 21g-4-(1-5g) = 26g-5
|-
| | [[6L 20s]]
| | 4\26 &lt; g &lt; 1\6
| | g = ''5\32'', 6\38, 7\44-8\50
| | 10g-3\2-(1\2-3g) = 13g-2
|-
| | [[7L 19s]]
| | 11\26 &lt; g &lt; 3\7
| | g = 14\33, 17\40, 20\47-23\54
| | 19g-8-(3-7g) = 26g-11
|-
| | [[8L 18s]]
| | 3\26 &lt; g &lt; 1\8
| | g = 4\34, 5\42, 6\50-7\58
| | 9g-1-(1\2-4g) = 13g-3\2
|-
| | [[9L 17s]]
| | 23\26 &lt; g &lt; 8\9
| | g = 31\35, 39\44, 47\53-55\62
| | 17g-15-(8-9g) = 26g-23
|-
| | [[10L 16s]]
| | 5\26 &lt; g &lt; 2\10
| | g = 7\36, 9\46, 11\56-13\66
| | 8g-3\2-(1-5g) = 13g-5\2
|-
| | [[11L 15s]]
| | 7\26 &lt; g &lt; 3\11
| | g = 10\37, 13\48, 16\59-19\70
| | 15g-4-(3-11g) = 26g-7
|-
| | [[12L 14s]]
| | 2\26 &lt; g &lt; 1\12
| | g = 3\38, 4\50, 5\62-6\74
| | 7g-1\2-(1\2-6g) = 13g-1
|-
| | ''[[13L 13s]] = 1L 1s (13)''
| | ''1\26 &lt; g &lt; 1\13''
| | ''g = 2\39, 3\52, 4\65-5\78''
| | ''g-(1\13-g) = 2g-1\13''
|-
| | [[14L 12s]]
| | 11\26 &lt; g &lt; 6\14
| | g = '''17\40''', 23\54, 29\68-35\82
| | 6g-5\2-(3-7g) = 13g-11\2
|-
| | [[15L 11s]]
| | 19\26 &lt; g &lt; 11\15
| | g = '''30\41''', 41\56, 52\71-63\86
| | 11g-8-(11-15g) = 26g-19
|-
| | [[16L 10s]]
| | 8\26 &lt; g &lt; 5\16
| | g = '''13\42''', 18\58, 23\74-28\90
| | 5g-3\2-(5\2-8g) = 13g-4
|-
| | [[17L 9s]]
| | 3\26 &lt; g &lt; 2\17
| | g = '''5\43''', 7\60, 9\77-11\94
| | 9g-1-(2-17g) = 26g-3
|-
| | [[18L 8s]]
| | 10\26 &lt; g &lt; 7\18
| | g = '''17\44''', 24\62, 31\80-38\98
| | 4g-3\2-(7\2-9g) = 13g-5
|-
| | [[19L 7s]]
| | 15\26 &lt; g &lt; 11\19
| | g = '''26\45''', 37\64, 48\83-59\102
| | 7g-4-(11-19g) = 26g-15
|-
| | [[20L 6s]]
| | 9\26 &lt; g &lt; 7\20
| | g = '''16\46''', 23\66, 30\86-37\106
| | 3g-1-(7\2-10g) = 13g-9\2
|-
| | [[21L 5s]]
| | 21\26 &lt; g &lt; 17\21
| | g = '''38\47''', 55\68, 72\89-89\110
| | 5g-4-(17-21g) = 26g-21
|-
| | [[22L 4s]]
| | 7\26 &lt; g &lt; 6\22
| | g = '''13\48''', 19\70, 25\92-31\114
| | 2g-1\2-(3-11g) = 13g-7\2
|-
| | [[23L 3s]]
| | 9\26 &lt; g &lt; 8\23
| | g = '''17\49''', 25\72, 33\95-41\118
| | 3g-1-(8-23g) = 26g-9
|-
| | ''[[24L 2s]] = 12L 1s (2)''
| | ''1\26 &lt; g &lt; 1\24''
| | ''g = '''2\50''', 3\74, 4\98-5\122''
| | ''g-(1\2-12g) = 13g-1\2''
|-
| | [[25L 1s|''25L 1s'']]
| | ''1\26 &lt; g &lt; 1\25''
| | ''g = '''2\51''', 3\76, 4\101-5\126''
| | ''g-(1-25g) = 26g-1''
|}


=28=  
== 27-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L27s || 27\28 &lt; g &lt; 1 || g = 55\56 || g = //28\29,// //29\30, 30\31// || 27g-26 || 1-g ||
|-
|| 2L26s || 13\28 &lt; g &lt; 1\2 || g = 27\56 || g = //14\30, 15\32//, 16\34 || 13g-6 || 1\2-g ||
! | L-s pattern
|| 3L25s || 9\28 &lt; g &lt; 1\3 || g = 55\168 || g = //10\31//,&lt;span style="line-height: 15.6000003814697px;"&gt; 11\34,&lt;/span&gt; 12\37 || 25g-8 || 1-3g ||
! | Generator range
|| 4L24s || 6\28 &lt; g &lt; 1\4 || g = 13\56 || g = //7\32//, 8\36, 9\40 || 6g-5\4 || 1\4-g ||
! | Boundaries of best, better, good behavior
|| 5L23s || 11\28 &lt; g &lt; 2\5 || g = 111\280 || g = //13\33//, 15\38, 17\43 || 23g-9 || 2-5g ||
! | Large step-Small step
|| 6L22s || 9\28 &lt; g &lt; 2\6 || g = 55\168 || g = 11\34, 13\40, 15\46 || 11g-7\2 || 1-3g ||
|-
|| 7L21s || 3\28 &lt; g &lt; 1\7 || g = 7\56 || g = 4\35, 5\42, 6\49 || 3g-2\7 || 1\7-g ||
| | [[1L 26s]]
|| 8L20s || 3\28 &lt; g &lt; 1\8 || g = 13\112 || g = 4\36, 5\44, 6\52 || 5g-1\2 || 1\4-2g ||
| | 26\27 &lt; g &lt; 1
|| 9L19s || 3\28 &lt; g &lt; 1\9 || g = 55\504 || g = 4\37, 5\46, 6\55 || 19g-2 || 1-9g ||
| | g = ''27\28, 28\29, 29\30-30\31''
|| 10L18s || 11\28 &lt; g &lt; 4\10 || g = 111\280 || g = 15\38, 19\48, 23\58 || 4g-7\2 || 2-5g ||
| | 26g-25-(1-g) = 27g-26
|| 11L17s || 5\28 &lt; g &lt; 2\11 || g = 111\616 || g = 7\39, 9\50, 11\61 || 17g-3 || 2-11g ||
|-
|| 12L16s || 2\28 &lt; g &lt; 1\12 || g = 13\168 || g = 3\40, 4\52, 5\64 || 4g-1\4 || 1\4-3g ||
| | [[2L 25s]]
|| 13L15s || 15\28 &lt; g &lt; 7\13 || g = 391\728 || g = 22\41, 29\54, 36\67 || 15g-8 || 7-13g ||
| | 13\27 &lt; g &lt; 1\2
|| 14L14s || 1\28 &lt; g &lt; 1\14 || g = 3\56 || g = 2\42, 3\56, 4\70 || g || 1\14-g ||
| | g = ''14\29, 15\31, 16\33''-17\35
|| &lt;span style="line-height: 15.6000003814697px;"&gt;15L13s&lt;/span&gt; || 13\28 &lt; g &lt; 7\15 || g = 391\840 || g = 20\43, 27\58, 34\73 || 13g-6 || 7-15g ||
| | 25g-12-(1-2g) = 27g-12
|| &lt;span style="line-height: 15.6000003814697px;"&gt;16L12s&lt;/span&gt; || 5\28 &lt; g &lt; 3\16 || g = 41\224 || g = 8\44, 11\60, 14\76 || 3g-1\2 || 3\4-4g ||
|-
|| &lt;span style="line-height: 15.6000003814697px;"&gt;17L11s&lt;/span&gt; || 23\28 &lt; g &lt; 14\17 || g = 783\952 || g = 37\45, 51\62, 65\79 || 11g-9 || 13-17g ||
| | [[3L 24s]]
|| &lt;span style="line-height: 15.6000003814697px;"&gt;18L10s&lt;/span&gt; || 3\28 &lt; g &lt; 2\18 || g = 55\504 || g = 5\46, 7\64, 9\82 || 5g-1\2 || 1-9g ||
| | 8\27 &lt; g &lt; 1\3
|| &lt;span style="line-height: 15.6000003814697px;"&gt;19L9s&lt;/span&gt; || 25\28 &lt; g &lt; 17\19 || g = 951\1064 || g = 42\47, 59\66, 76\85 || 9g-8 || 17-19g ||
| | g = ''9\30'', ''10\33'', 11\36-12\39
|| &lt;span style="line-height: 15.6000003814697px;"&gt;20L&lt;/span&gt;8s || 4\28 &lt; g &lt; 3\20 || g = 41\280 || g = 7\48, 10\68, 13\88 || 2g-1\4 || 3\4-5g ||
| | 8g-7\3-(1\3-3g) = 9g-8\3
|| &lt;span style="line-height: 15.6000003814697px;"&gt;21L7s&lt;/span&gt; || 1\28 &lt; g &lt; 1\21 || g = 7\168 || g = 2\49, 3\70, 4\91 || g || &lt;span style="line-height: 15.6000003814697px;"&gt;1\7-3g&lt;/span&gt; ||
|-
|| &lt;span style="line-height: 15.6000003814697px;"&gt;22L&lt;/span&gt;6s || 5\28 &lt; g &lt; 4\22 || g = 111\616 || g = 9\50, 13\72, 17\94 || 3g-1\2 || 2-11g ||
| | [[4L 23s]]
|| &lt;span style="line-height: 15.6000003814697px;"&gt;23L&lt;/span&gt;5s || 17\28 &lt; g &lt; 14\23 || g = 783\1288 || g = 31\51, 45\74, 59\97 || 5g-3 || 14-23g ||
| | 20\27 &lt; g &lt; 3\4
|| &lt;span style="line-height: 15.6000003814697px;"&gt;24L&lt;/span&gt;4s || 1\28 &lt; g &lt; 1\24 || g = 13\336 || g = 2\52, 3\76, 4\100 || g || 1\4-6g ||
| | g = ''23\31'', 26\35, 29\39-32\43
|| &lt;span style="line-height: 15.6000003814697px;"&gt;25L&lt;/span&gt;3s || 19\28 &lt; g &lt; 17\25 || g = 951\1400 || g = 36\53, 53\78, 70\103 || 3g-2 || 17-25g ||
| | 23g-17-(3-4g) = 19g-14
|| &lt;span style="line-height: 15.6000003814697px;"&gt;26L&lt;/span&gt;2s || 15\28 &lt; g &lt; 14\26 || g = 391\728 || g = 29\54, 43\80, 57\106 || g-1\2 || 19\2-13g ||
|-
|| 27L1s || 1\28 &lt; g &lt; 1\27 || g = 55\1512 || g = 2\55, 3\82, 4\109 || g || 1-27g ||
| | [[5L 22s]]
| | 16\27 &lt; g &lt; 3\5
| | g = ''19\32'', 22\37, 25\42-28\47
| | 22g-13-(3-5g) = 27g-16
|-
| | [[6L 21s]]
| | 4\27 &lt; g &lt; 1\6
| | g = ''5\33'', 6\39, 7\45-8\51
| | 7g-1-(1\3-2g) = 9g-4\3
|-
| | [[7L 20s]]
| | 23\27 &lt; g &lt; 6\7
| | g = 29\34, 35\41, 41\48-47\55
| | 20g-17-(6-7g) = 27g-23
|-
| | [[8L 19s]]
| | 10\27 &lt; g &lt; 3\8
| | g = 13\35, 16\43, 19\51-22\59
| | 19g-7-(3-8g) = 27g-10
|-
| | [[9L 18s]]
| | 2\27 &lt; g &lt; 1\9
| | g = 3\36, 4\45, 5\54-6\63
| | 2g-1\9-(1\9-g) = 3g-1\9
|-
| | [[10L 17s]]
| | 8\27 &lt; g &lt; 3\10
| | g = 11\37, 14\47, 17\57–20\67
| | 17g-5-(3-10g) = 27g-8
|-
| | [[11L 16s]]
| | 22\27 &lt; g &lt; 9\11
| | g = 31\38, 40\49, 49\60-58\71
| | 16g-13-(9-11g) = 27g-22
|-
| | [[12L 15s]]
| | 2\27 &lt; g &lt; 1\12
| | g = 3\39, 4\51, 5\63-6\75
| | 5g-1\3-(1\3-4g) = 9g-2\3
|-
| | [[13L 14s]]
| | 2\27 &lt; g &lt; 1\13
| | g = '''3\40''', 4\53, 5\66-6\79
| | 14g-1-(1-13g) = 27g-2
|-
| | [[14L 13s]]
| | 25\27 &lt; g &lt; 13\14
| | g = '''38\41''', 51\55, 64\69-77\83
| | 13g-12-(13-14g) = 27g-25
|-
| | [[15L 12s]]
| | 7\27 &lt; g &lt; 4\15
| | g = '''11\42''', 15\57, 19\72-23\87
| | 4g-1-(4\3-5g) = 9g-4\3
|-
| | [[16L 11s]]
| | 5\27 &lt; g &lt; 3\16
| | g = '''8\43''', 11\59, 14\75-17\91
| | 11g-2-(3-16g) = 27g-5
|-
| | [[17L 10s]]
| | 19\27 &lt; g &lt; 12\17
| | g = '''31\44''', 43\61, 55\78-67\95
| | 10g-7-(12-17g) = 27g-19
|-
| | ''[[18L 9s]] = 2L 1s (9)''
| | ''1\27 &lt; g &lt; 1\18''
| | ''g = '''2\45''', 3\63, 4\81-5\99''
| | ''g-(1\9-2g) = 3g-1\9''
|-
| | [[19L 8s]]
| | 17\27 &lt; g &lt; 12\19
| | g = '''29\46''', 41\65, 53\84-65\103
| | 8g-5-(12-19g) = 27g-17
|-
| | [[20L 7s]]
| | 4\27 &lt; g &lt; 3\20
| | g = '''7\47''', 10\67, 13\87-16\107
| | 7g-1-(3-20g) = 27g-4
|-
| | [[21L 6s]]
| | 5\27 &lt; g &lt; 4\21
| | g = '''9\48''', 13\69, 17\90-17\111
| | 2g-1\3-(4\3-7g) = 9g-5\3
|-
| | [[22L 5s]]
| | 11\27 &lt; g &lt; 9\22
| | g = '''20\49''', 29\71, 38\93-47\115
| | 5g-2-(9-22g) = 27g-11
|-
| | [[23L 4s]]
| | 7\27 &lt; g &lt; 6\23
| | g = '''13\50''', 19\73, 25\96-31\119
| | 4g-1-(6-23g) = 27g-7
|-
| | ''[[24L 3s]] = 8L 1s (3)''
| | ''1\27 &lt; g &lt; 1\24''
| | ''g = '''2\51''', 3\75, 4\99-5\123''
| | ''g-(1\3-8g) = 9g-1\3''
|-
| | [[25L 2s]]
| | 14\27 &lt; g &lt; 13\25
| | g = '''27\52''', 40\77, 53\102-66\127
| | 2g-1-(13-25g) = 24g-14
|-
| | [[26L 1s|''26L 1s'']]
| | ''1\27 &lt; g &lt; 1\26''
| | ''g = '''2\53''', 3\79, 4\105-5\131''
| | ''g-(1-26g) = 27g-1''
|}


=29=  
== 28-tone ==
||~ Large-small numbers ||~ Generator range ||~ &lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt; ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
{| class="wikitable"
|| 1L28s || 28\29 &lt; g &lt; 1 || g = 57\58 || g = //29\30, 30\31, 31\32// || 28g-27 || 1-g ||
|-
|| 2L27s || 14\29 &lt; g &lt; 1\2 || g = 57\116 || g = //15\31//, //16\33//, 17\35 || 27g-13 || 1-2g ||
! | L-s pattern
|| 3L26s || 19\29 &lt; g &lt; 2\3 || g = 115\174 || g = //21\32//, 23\35, 25\38 || 26g-17 || 2-3g ||
! | Generator range
|| 4L25s || 7\29 &lt; g &lt; 1\4 || g = 57\232 || g = //8\33//, 9\37, 10\41 || 25g-6 || 1-4g ||
! | Boundaries of best, better, good behavior
|| 5L24s || 23\29 &lt; g &lt; 4\5 || g = 231\290 || g = //27\34//, 31\39, 35\44 || 24g-19 || 4-5g ||
! | Large step-Small step
|| 6L23s || 24\29 &lt; g &lt; 5\6 || g = 289\348 || g = 29\35, 34\41, 39\47 || 23g-19 || 5-6g ||
|-
|| 7L22s || 4\29 &lt; g &lt; 1\7 || g = 57\406 || g = 5\36, 6\43, 7\50 || 22g-3 || 1-7g ||
| | [[1L 27s]]
|| 8L21s || 18\29 &lt; g &lt; 5\8 || g = 289\464 || g = 23\37, 28\45, 33\53 || &lt;span style="line-height: 15.6000003814697px;"&gt;21g-13&lt;/span&gt; || &lt;span style="line-height: 15.6000003814697px;"&gt;5-8g&lt;/span&gt; ||
| | 27\28 &lt; g &lt; 1
|| 9L20s || 16\29 &lt; g &lt; 5\9 || g = 289\522 || g = 21\38, 26\47, 31\56 || 20g-11 || 5-9g ||
| | g = ''28\29, 29\30, 30\31-30\32''
|| 10L19s || 26\29 &lt; g &lt; 9\10 || g = 521\580 || g = 35\39, 44\49, 53\59 || 19g-17 || 9-10g ||
| | 27g-26-(1-g) = 28g-27
|| 11L18s || 21\29 &lt; g &lt; 8\11 || g = 463\638 || g = 29\40, 37\51, 45\62 || 18g-13 || 8-11g ||
|-
|| 12L17s || 12\29 &lt; g &lt; 5\12 || g = 289\696 || g = 17\41, 22\53, 27\65 || 17g-7 || 5-12g ||
| | [[2L 26s]]
|| 13L16s || 20\29 &lt; g &lt; 9\13 || g = 521\754 || g = 29\42, 38\55, 47\68 || 16g+11 || 9-13g ||
| | 13\28 &lt; g &lt; 1\2
|| 14L15s || 2\29 &lt; g &lt; 1\14 || g = 57\812 || g = 3\43, 4\57, 5\71 || 15g-1 || 1-14g ||
| | g = ''14\30, 15\32, 16\34''-17\36
|| 15L14s || 27\29 &lt; g &lt; 14\15 || g = 811\870 || g = 41\44, 55\59, 69\74 || 14g-13 || 14-15g ||
| | 13g-6-(1\2-g) = 14g-13\2
|| 16L13s || 9\29 &lt; g &lt; 5\16 || g = 289\928 || g = 14\45, 19\61, 24\77 || 13g-4 || 5-16g ||
|-
|| 17L12s || 17\29 &lt; g &lt; 10\17 || g = 579\986 || g = 27\46, 37\63, 47\80 || 12g-5 || 7-17g ||
| | [[3L 25s]]
|| 18L11s || 8\29 &lt; g &lt; 5\18 || g = 289\1044 || g = 13\47, 18\65, 23\83 || 11g-3 || 5-18g ||
| | 9\28 &lt; g &lt; 1\3
|| 19L10s || 3\29 &lt; g &lt; 2\19 || g = 115\1102 || g = 5\48, 7\67, 9\86 || 10g-1 || 2-19g ||
| | g = ''10\31'', ''11\34'', 12\37-13\40
|| 20L9s || 13\29 &lt; g &lt; 9\20 || g = 521\1160 || g = 22\49, 31\69, 40\89 || 9g-5 || 9-20g ||
| | 25g-8-(1-3g) = 28g-9
|| 21L8s || 11\29 &lt; g &lt; 8\21 || g = 463\1216 || g = 19\50, 27\71, 35\92 || 8g-3 || 8-21g ||
|-
|| 22L7s || 25\29 &lt; g &lt; 19\22 || g = 1001\1274 || g = 44\51, 63\73, 82\95 || 7g-6 || 9-22g ||
| | [[4L 24s]]
|| 23L6s || 5\29 &lt; g &lt; 4\23 || g = 231\1332 || g = 9\52, 13\75, 17\98 || 6g-1 || 4-23g ||
| | 6\28 &lt; g &lt; 1\4
|| 24L5s || 6\29 &lt; g &lt; 5\24 || g = 289\1392 || g = 11\53, 16\77, 21\101 || 5g-9 || 5-24g ||
| | g = ''7\32'', 8\36, 9\40-10\44
|| 25L4s || 22\29 &lt; g &lt; 19\25 || g = 1001\1450 || g = 41\54, 60\79, 79\104 || 4g-3 || 19-25g ||
| | 6g-5\4-(1\4-g) = 7g-3\2
|| 26L3s || 10\29 &lt; g &lt; 9\26 || g = 521\1508 || g = 19\55, 28\81, 37\107 || 3g-1 || 19\2-26g ||
|-
|| 27L2s || 15\29 &lt; g &lt; 14\27 || g = 811\1564 || g = 29\56, 43\83, 57\110 || 2g-1 || 17-27g ||
| | [[5L 23s]]
|| 28L1s || 1\29 &lt; g &lt; 1\28 || g = 57\1622 || g = 2\57,&lt;span style="line-height: 15.6000003814697px;"&gt; 3\85,&lt;/span&gt; 4\113 || g || 1-28g ||</pre></div>
| | 11\28 &lt; g &lt; 2\5
<h4>Original HTML content:</h4>
| | g = ''13\33'', 15\38, 17\43-19\48
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;Generator ranges of MOS&lt;/title&gt;&lt;/head&gt;&lt;body&gt;Below are ranges of generators for various L-s patterns of MOS, with the number of steps in the scale from 2 to 29. The ranges are given in fractions of the interval of equivalence, which is normally an octave. The tables give the range of possible generators in the second column, normalized so that the lower end of the range is where L/s = 1 (Nedo). The third column gives the midpoint of the range. Finally, the fourth column gives the boundaries of propriety, maximum expressiveness and diatonicity.&lt;br /&gt;
| | 23g-9-(2-5g) = 28g-11
&lt;br /&gt;
|-
If the number of the &lt;a class="wiki_link" href="/Interval%20class" target="_blank"&gt;generic interval&lt;/a&gt; to which the generator g belongs is C, and there are N scale steps to the interval of equivalence, then the average the size of an interval in class C is C/N. We have normalized so that C/N is the lower bound of the range of generators; since therefore g &amp;gt; C/N, g is larger than average and hence is the larger of the two sizes of intervals in its class, which means we have normalized to the &lt;a class="wiki_link" href="/Modal%20UDP%20Notation" target="_blank"&gt;chroma-positive&lt;/a&gt; generator. We have normalized to the formula fir the step size where the leading term is positive.&lt;br /&gt;
| | [[6L 22s]]
&lt;br /&gt;
| | 9\28 &lt; g &lt; 2\6
&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="x2, 3, 4"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;2, 3, 4&lt;/h1&gt;
| | g = ''11\34'', 13\40, 15\46-17\52
&lt;strong&gt;Note: These sets are given for the sake of completeness as they are not really scales&lt;/strong&gt;&lt;br /&gt;
| | 11g-7\2-(1-3g) = 14g-9\2
|-
| | [[7L 21s]]
| | 3\28 &lt; g &lt; 1\7
| | g = 4\35, 5\42, 6\49-7\56
| | 3g-2\7-(1\7-g) = 4g-3\7
|-
| | [[8L 20s]]
| | 3\28 &lt; g &lt; 1\8
| | g = 4\36, 5\44, 6\52-7\60
| | 5g-1\2-(1\4-2g) = 7g-3\4
|-
| | [[9L 19s]]
| | 3\28 &lt; g &lt; 1\9
| | g = 4\37, 5\46, 6\55-7\64
| | 19g-2-(1-9g) = 28g-3
|-
| | [[10L 18s]]
| | 11\28 &lt; g &lt; 4\10
| | g = 15\38, 19\48, 23\58-27\68
| | 9g-7\2-(2-5g) = 14g-11\2
|-
| | [[11L 17s]]
| | 5\28 &lt; g &lt; 2\11
| | g = 7\39, 9\50, 11\61-13\72
| | 17g-3-(2-11g) = 28g-5
|-
| | [[12L 16s]]
| | 2\28 &lt; g &lt; 1\12
| | g = '''3\40''', 4\52, 5\64-6\76
| | 4g-1\4-(1\4-3g) = 7g-1\2
|-
| | [[13L 15s]]
| | 15\28 &lt; g &lt; 7\13
| | g = '''22\41''', 29\54, 36\67-43\80
| | 15g-8-(7-13g) = 28g-15
|-
| | ''[[14L 14s]] = 1L 1s (14)''
| | ''1\28 &lt; g &lt; 1\14''
| | ''g = '''2\42''', 3\56, 4\70-5\84''
| | ''g-(1\14-g) = 2g-1\14''
|-
| | [[15L 13s]]
| | 13\28 &lt; g &lt; 7\15
| | g = '''20\43''', 27\58, 34\73-41\88
| | 13g-6-(7-15g) = 28g-13
|-
| | [[16L 12s]]
| | 5\28 &lt; g &lt; 3\16
| | g = '''8\44''', 11\60, 14\76-17\92
| | 3g-1\2-(3\4-4g) = 7g-7\4
|-
| | [[17L 11s]]
| | 23\28 &lt; g &lt; 14\17
| | g = '''37\45''', 51\62, 65\79-79\96
| | 11g-9-(14-17g) = 28g-23
|-
| | [[18L 10s]]
| | 3\28 &lt; g &lt; 2\18
| | g = '''5\46''', 7\64, 9\82-11\100
| | 5g-1\2-(1-9g) = 14g-3\2
|-
| | [[19L 9s]]
| | 25\28 &lt; g &lt; 17\19
| | g = '''42\47''', 59\66, 76\85-93\104
| | 9g-8-(17-19g) = 28g-25
|-
| | [[20L 8s]]
| | 4\28 &lt; g &lt; 3\20
| | g = '''7\48''', 10\68, 13\88-16\108
| | 2g-1\4-(3\4-5g) = 7g-1
|-
| | ''[[21L 7s]] = 3L 1s (7)''
| | ''1\28 &lt; g &lt; 1\21''
| | ''g = '''2\49''', 3\70, 4\91-5\112''
| | ''g-(1\7-3g) = 4g-1\7''
|-
| | [[22L 6s]]
| | 5\28 &lt; g &lt; 4\22
| | g = '''9\50''', 13\72, 17\94-21\116
| | 3g-1\2-(2-11g) = 14g-5\2
|-
| | [[23L 5s]]
| | 17\28 &lt; g &lt; 14\23
| | g = '''31\51''', 45\74, 59\97-73\120
| | 5g-3-(14-23g) = 28g-17
|-
| | ''[[24L 4s]] = 6L 1s (4)''
| | ''1\28 &lt; g &lt; 1\24''
| | ''g = '''2\52''', 3\76, 4\100-5\124''
| | ''g-(1\4-6g) = 7g-1\4''
|-
| | [[25L 3s]]
| | 19\28 &lt; g &lt; 17\25
| | g = '''36\53''', 53\78, 70\103-87\128
| | 3g-2-(17-25g) = 28g-19
|-
| | ''[[26L 2s]] = 13L 1s (2)''
| | ''15\28 &lt; g &lt; 14\26''
| | ''g = '''29\54''', 43\80, 57\106-71\132''
| | ''g-1\2-(7-13g) = 14g-15\2''
|-
| | [[27L 1s|''27L 1s'']]
| | ''1\28 &lt; g &lt; 1\27''
| | ''g = '''2\55''', 3\82, 4\109-5\136''
| | ''g-(1-27g) = 28g-1''
|}


== 29-tone ==
{| class="wikitable"
|-
! | L-s pattern
! | Generator range
! | Boundaries of best, better, good behavior
! | Large step-Small step
|-
| | [[1L 28s]]
| | 28\29 &lt; g &lt; 1
| | g = ''29\30, 30\31, 31\32-32\33''
| | 28g-27-(1-g) = 29g-28
|-
| | [[2L 27s]]
| | 14\29 &lt; g &lt; 1\2
| | g = ''15\31, 16\33, 17\35''-18\37
| | 27g-13-(1-2g) = 29g-15
|-
| | [[3L 26s]]
| | 19\29 &lt; g &lt; 2\3
| | g = ''21\32'', ''23\35'', 25\38-27\41
| | 26g-17-(2-3g) = 29g-19
|-
| | [[4L 25s]]
| | 7\29 &lt; g &lt; 1\4
| | g = ''8\33'', 9\37, 10\41-11\45
| | 25g-6-(1-4g) = 29g-7
|-
| | [[5L 24s]]
| | 23\29 &lt; g &lt; 4\5
| | g = ''27\34'', 31\39, 35\44-39\49
| | 24g-19-(4-5g) = 29g-23
|-
| | [[6L 23s]]
| | 24\29 &lt; g &lt; 5\6
| | g = ''29\35'', 34\41, 39\47-44\53
| | 23g-19-(5-6g) = 29g-24
|-
| | [[7L 22s]]
| | 4\29 &lt; g &lt; 1\7
| | g = ''5\36'', 6\43, 7\50-8\57
| | 22g-3-(1-7g) = 29g-4
|-
| | [[8L 21s]]
| | 18\29 &lt; g &lt; 5\8
| | g = 23\37, 28\45, 33\53-38\61
| | 21g-13-(5-8g) = 29g-18
|-
| | [[9L 20s]]
| | 16\29 &lt; g &lt; 5\9
| | g = 21\38, 26\47, 31\56-36\65
| | 20g-11-(5-9g) = 29g-16
|-
| | [[10L 19s]]
| | 26\29 &lt; g &lt; 9\10
| | g = 35\39, 44\49, 53\59-62\69
| | 19g-17-(9-10g) = 29g-26
|-
| | [[11L 18s]]
| | 21\29 &lt; g &lt; 8\11
| | g = '''29\40''', 37\51, 45\62-53\73
| | 18g-13-(8-11g) = 29g-21
|-
| | [[12L 17s]]
| | 12\29 &lt; g &lt; 5\12
| | g = '''17\41''', 22\53, 27\65-32\77
| | 17g-7-(5-12g) = 29g-12
|-
| | [[13L 16s]]
| | 20\29 &lt; g &lt; 9\13
| | g = '''29\42''', 38\55, 47\68-56\81
| | 16g+11-(9-13g) = 29g-20
|-
| | [[14L 15s]]
| | 2\29 &lt; g &lt; 1\14
| | g = '''3\43''', 4\57, 5\71-6\85
| | 15g-1-(1-14g) = 29g-2
|-
| | [[15L 14s]]
| | 27\29 &lt; g &lt; 14\15
| | g = '''41\44''', 55\59, 69\74-83\89
| | 14g-13-(14-15g) = 29g-27
|-
| | [[16L 13s]]
| | 9\29 &lt; g &lt; 5\16
| | g = '''14\45''', 19\61, 24\77-29\93
| | 13g-4-(5-16g) = 29g-9
|-
| | [[17L 12s]]
| | 17\29 &lt; g &lt; 10\17
| | g = '''27\46''', 37\63, 47\80-57\97
| | 12g-5-(7-17g) = 29g-12
|-
| | [[18L 11s]]
| | 8\29 &lt; g &lt; 5\18
| | g = '''13\47''', 18\65, 23\83-28\101
| | 11g-3-(5-18g) = 29g-8
|-
| | [[19L 10s]]
| | 3\29 &lt; g &lt; 2\19
| | g = '''5\48''', 7\67, 9\86-11\105
| | 10g-1-(2-19g) = 29g-1
|-
| | [[20L 9s]]
| | 13\29 &lt; g &lt; 9\20
| | g = '''22\49''', 31\69, 40\89-49\109
| | 9g-4-(9-20g) = 29g-13
|-
| | [[21L 8s]]
| | 11\29 &lt; g &lt; 8\21
| | g = '''19\50''', 27\71, 35\92-43\113
| | 8g-3-(8-21g) = 29g-11
|-
| | [[22L 7s]]
| | 25\29 &lt; g &lt; 19\22
| | g = '''44\51''', 63\73, 82\95-101\117
| | 7g-6-(9-22g) = 29g-15
|-
| | [[23L 6s]]
| | 5\29 &lt; g &lt; 4\23
| | g = '''9\52''', 13\75, 17\98-21\121
| | 6g-1-(4-23g) = 29g-5
|-
| | [[24L 5s]]
| | 6\29 &lt; g &lt; 5\24
| | g = '''11\53''', 16\77, 21\101-26\125
| | 5g-9-(5-24g) = 29g-14
|-
| | [[25L 4s]]
| | 22\29 &lt; g &lt; 19\25
| | g = '''41\54''', 60\79, 79\104-98\129
| | 4g-3-(19-25g) = 29g-22
|-
| | [[26L 3s]]
| | 10\29 &lt; g &lt; 9\26
| | g = '''19\55''', 28\81, 37\107-46\133
| | 3g-1-(9-26g) = 29g-10
|-
| | [[27L 2s]]
| | 15\29 &lt; g &lt; 14\27
| | g = '''29\56''', 43\83, 57\110-71\137
| | 2g-1-(17-27g) = 29g-18
|-
| | [[28L 1s|''28L 1s'']]
| | ''1\29 &lt; g &lt; 1\28''
| | ''g = '''2\57''', 3\85, 4\113-5\141''
| | ''g-(1-28g) = 29g-28''
|}


&lt;table class="wiki_table"&gt;
[[Category:MOS scale]]
    &lt;tr&gt;
[[Category:Lists of scales]]
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\3, 3\4, 4\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\3 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\4, 4\5, 5\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\5, 3\7, 4\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\4 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\5, 5\6, 6\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\6, 3\8, 4\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\7, 3\10, 4\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:2:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc1"&gt;&lt;a name="x5"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:2 --&gt;5&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\5 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\6, 6\7, 7\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\5 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\7, 4\9, 5\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\5 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\8, 7\11, 9\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\5 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\9, 3\13, 4\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:4:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc2"&gt;&lt;a name="x6"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:4 --&gt;6&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\6 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 6\7, 7\8, 8\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\6 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\8, 4\10, 5\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\6 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\9, 3\12, 4\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\6 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\10, 3\14, 4\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\6 &amp;lt; g &amp;lt; 1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\11, 3\16, 4\21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:6:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc3"&gt;&lt;a name="x7"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:6 --&gt;7&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\7 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\8, 8\9, 9\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\7 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\9, 5\11, 6\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\7 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\10, 4\13, 5\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\7 &amp;lt; g &amp;lt; 3\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 8\11, 11\15, 14\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\7 &amp;lt; g &amp;lt; 3\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\12, 10\17, 13\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\7 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\84&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\13, 3\19, 4\25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:8:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc4"&gt;&lt;a name="x8"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:8 --&gt;8&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\8 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 15\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 8\9, 9\10, 10\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\8 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\10, 5\12, 6\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\8 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\11, 9\14, 11\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\8 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\12, 3\16, 4\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\8 &amp;lt; g &amp;lt; 2\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\13, 7\18, 9\23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\8 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\14, 3\20, 4\26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\8 &amp;lt; g &amp;lt; 1\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 15\112&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\15, 3\22, 4\29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc5"&gt;&lt;a name="x9"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;9&lt;/h1&gt;
&lt;strong&gt;Note: italicized generators from here below generate scales which are weakly tonal&lt;/strong&gt;&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\9 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;9\10&lt;/em&gt;, 10\11, 11\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\9 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\11, 6\13, 7\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\9 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\12, 4\15, 5\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: left;"&gt;4L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: left;"&gt;2\9 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: left;"&gt;g = 17\72&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: left;"&gt;g = 3\13, 4\17, 5\21&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: left;"&gt;5g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: left;"&gt;1-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\9 &amp;lt; g &amp;lt; 4\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 71\90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\14, 15\19, 18\23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\9 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\15, 3\21, 4\27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\9 &amp;lt; g &amp;lt; 4\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 71\126&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\16, 10\23, 17\30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\9 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\144&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\17, 3\25, 4\33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:12:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc6"&gt;&lt;a name="x10"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:12 --&gt;10&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\10 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;10\11&lt;/em&gt;, 11\12, 12\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\10 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\12, 6\14, 7\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\10 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\13, 5\16, 6\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\10 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\14, 4\18, 5\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\10 &amp;lt; g &amp;lt; 1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\15, 3\20, 4\25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\5-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\10 &amp;lt; g &amp;lt; 2\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\16, 7\22, 9\28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\10 &amp;lt; g &amp;lt; 5\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 99\140&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 12\17, 17\24, 22\31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\10 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\18, 3\26, 4\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\10 &amp;lt; g &amp;lt; 1\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\180&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\19, 3\28, 4\37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:14:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc7"&gt;&lt;a name="x11"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:14 --&gt;11&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10\11 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 21\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;11\12&lt;/em&gt;, 12\13, 13\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10g-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\11 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 21\44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 6\13, 7\15, 8\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\11 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 43\66&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\14, 11\17, 13\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\11 &amp;lt; g &amp;lt; 3\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 65\88&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\15, 14\19, 17\23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\11 &amp;lt; g &amp;lt; 1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 21\110&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\16, 4\21, 5\26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\11 &amp;lt; g &amp;lt; 5\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 109\132&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 14\17, 19\23, 24\29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\11 &amp;lt; g &amp;lt; 2\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 43\154&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\18, 7\25, 9\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\11 &amp;lt; g &amp;lt; 3\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 65\176&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\19, 10\27, 13\35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\11 &amp;lt; g &amp;lt; 5\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 109\198&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\20, 16\29, 21\38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\11 &amp;lt; g &amp;lt; 1\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 21\220&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\21, 3\31, 4\41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:16:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc8"&gt;&lt;a name="x12"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:16 --&gt;12&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\12 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;12\13,&lt;/em&gt; &lt;em&gt;13\14&lt;/em&gt;, 14\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\12 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;6\14&lt;/em&gt;, 7\16, 8\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\12 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\15, 5\18, 6\21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\12 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\16, 4\20, 5\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\12 &amp;lt; g &amp;lt; 3\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 71\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 10\17, 13\22, 16\27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\12 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\18, 3\24, 4\30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\6-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\12 &amp;lt; g &amp;lt; 3\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 71\168&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 8\19, 11\26, 14\33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\12 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\20, 3\28, 4\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\12 &amp;lt; g &amp;lt; 1\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\21, 3\30, 4\39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\12 &amp;lt; g &amp;lt; 1\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\22, 3\32, 4\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\12 &amp;lt; g &amp;lt; 1\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\264&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\23, 3\34, 4\45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:18:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc9"&gt;&lt;a name="x13"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:18 --&gt;13&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12\13 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;13\14,&lt;/em&gt; &lt;em&gt;14\15&lt;/em&gt;, 15\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12g-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\13 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;7\15&lt;/em&gt;, 8\17, 9\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\13 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\78&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\16, 6\19, 7/22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\13 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\104&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\17, 5\21, 6\25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\13 &amp;lt; g &amp;lt; 2\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 51\130&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\18, 9\23, 11\28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\13 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\156&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\19, 4\25, 5\31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\13 &amp;lt; g &amp;lt; 6\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 155\182&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\20, 23\27, 29\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\13 &amp;lt; g &amp;lt; 5\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 129\208&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\21, 18\29, 23\37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10\13 &amp;lt; g &amp;lt; 7\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 181\234&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\22, 24\31, 31\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\13 &amp;lt; g &amp;lt; 7\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 181\260&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 16\23, 23\33, 30\43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-10g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\13 &amp;lt; g &amp;lt; 6\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 155\286&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\24, 19\35, 25\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\13 &amp;lt; g &amp;lt; 1\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\312&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\25, 3\37, 4\49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:20:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="x14"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:20 --&gt;14&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\14 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 27\28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;14\15,&lt;/em&gt; &lt;em&gt;15\16&lt;/em&gt;, 16\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\14 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;7\16&lt;/em&gt;, 8\18, 9\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-5\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\14 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 55\84&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\17, 13\20, 15\23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\14 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\18, 5\22, 6\26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\14 &amp;lt; g &amp;lt; 4\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 111\140&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 15\19, 19\24, 23\29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\14 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\84&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\20, 4\26, 5\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\14 &amp;lt; g &amp;lt; 1\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\21, 3\28, 4\35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\7-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\14 &amp;lt; g &amp;lt; 3\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\112&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 8\22, 11\30, 14\38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\2-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\14 &amp;lt; g &amp;lt; 2\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 55\252&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\23, 7\32, 9\41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\14 &amp;lt; g &amp;lt; 3\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\140&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\24, 10\34, 13\44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\2-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\14 &amp;lt; g &amp;lt; 4\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 111\308&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\25, 13\36, 17\47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\14 &amp;lt; g &amp;lt; 1\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\168&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\26, 3\38, 4\50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\14 &amp;lt; g &amp;lt; 1\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 27\364&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\27, 3\40, 4\53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:22:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="x15"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:22 --&gt;15&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14\15 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;15\16,&lt;/em&gt; &lt;em&gt;16\17&lt;/em&gt;, 17\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14g-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\15 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;8\17&lt;/em&gt;, 9\19, 10\21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\15 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\18, 6\21, 7\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\15 &amp;lt; g &amp;lt; 3\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 89\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 14\19, 17\23, 20\27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\15 &amp;lt; g &amp;lt; 1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\20, 4\25, 5\30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\5-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\15 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\21, 4\27, 5\33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\15 &amp;lt; g &amp;lt; 1\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\210&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\22, 4\29, 5\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\15 &amp;lt; g &amp;lt; 7\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 209\240&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 20\23, 27\31, 34\39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\15 &amp;lt; g &amp;lt; 2\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\24, 7\33, 9\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\3-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\15 &amp;lt; g &amp;lt; 1\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\25, 3\35, 4\45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\5-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\15 &amp;lt; g &amp;lt; 3\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 89\330&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\26, 10\37, 13\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\15 &amp;lt; g &amp;lt; 1\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\27, 3\39, 4\51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\15 &amp;lt; g &amp;lt; 7\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 209\390&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 15\28, 22\41, 29\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\15 &amp;lt; g &amp;lt; 1\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\420&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\29, 3\43, 4\57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:24:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc12"&gt;&lt;a name="x16"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:24 --&gt;16&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15\16 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;16\17,&lt;/em&gt; &lt;em&gt;17\18&lt;/em&gt;, 18\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15g-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\16 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 15\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;8\18&lt;/em&gt;, 9\20, 10\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\16 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\96&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 6\19, 7\22, 8\25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\16 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\20, 5\24, 6\28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\16 &amp;lt; g &amp;lt; 1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\160&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\21, 5\26, 6\31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\16 &amp;lt; g &amp;lt; 2\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\96&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\22, 9\28, 11\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-3\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\16 &amp;lt; g &amp;lt; 4\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 127\224&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\23, 17\30, 21\37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\16 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\24, 3\32, 4\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\8-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\16 &amp;lt; g &amp;lt; 4\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 127\286&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\25, 15\34, 19\43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\16 &amp;lt; g &amp;lt; 2\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\160&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\26, 7\36, 8\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\16 &amp;lt; g &amp;lt; 9\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 287\352&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 22\27, 31\38, 40\49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\16 &amp;lt; g &amp;lt; 1\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\28, 3\40, 4\52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\16 &amp;lt; g &amp;lt; 9\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 287\416&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 20\29, 29\42, 38\55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\16 &amp;lt; g &amp;lt; 1\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 15\224&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\30, 3\44, 4\58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\16 &amp;lt; g &amp;lt; 1\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\480&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\31, 3\46, 4\61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-15g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:26:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc13"&gt;&lt;a name="x17"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:26 --&gt;17&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Midpoint&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16\17 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 33\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;17\18,&lt;/em&gt; &lt;em&gt;18\19&lt;/em&gt;, 19\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16g-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\17 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 33\68&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;9\19&lt;/em&gt;, 10\21, 11\23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\17 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 67\102&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\20, 15\23, 17\26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14g-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\17 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 33\136&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\21, 6\25, 7\29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10\17 &amp;lt; g &amp;lt; 3\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 101\170&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\22, 16\27, 19\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14\17 &amp;lt; g &amp;lt; 5\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 169\204&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\23, 24\29, 29\35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12\17 &amp;lt; g &amp;lt; 5\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 169\238&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\24, 22\31, 27\38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\17 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 33\272&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\25, 4\33, 5\41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15\17 &amp;lt; g &amp;lt; 8\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 271\306&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\26, 31\35, 39\44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\17 &amp;lt; g &amp;lt; 3\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 101\340&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 8\27, 11\37, 14\47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-10g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\17 &amp;lt; g &amp;lt; 2\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 67\374&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\28, 7\39, 9\50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\17 &amp;lt; g &amp;lt; 5\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 169\408&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 12\29, 17\41, 22\53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-12g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\17 &amp;lt; g &amp;lt; 10\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 339\442&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\30, 33\43, 43\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\17 &amp;lt; g &amp;lt; 5\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 169\476&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\31, 16\45, 21\59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-14g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\17 &amp;lt; g &amp;lt; 8\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 271\510&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\32, 25\47, 33\62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8-15g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\17 &amp;lt; g &amp;lt; 1\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 33\544&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\33, 3\49, 4\65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-16g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:28:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc14"&gt;&lt;a name="x18"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:28 --&gt;18&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\18 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 35\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;18\19, 19\20, 20\21&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\18 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g -= &lt;em&gt;9\20&lt;/em&gt;, 10\22, 11\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-7\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\18 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;6\21&lt;/em&gt;, 7\24, 8\27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-4\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;4\18 &amp;lt; g &amp;lt; 1\4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;g = 5\22, 6\26,&lt;/span&gt; 7\30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-3\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\18 &amp;lt; g &amp;lt; 2\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 71\180&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\23, 11\28, 13\33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\18 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\24, 4\30, 5\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\6-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\18 &amp;lt; g &amp;lt; 2\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 71\252&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\25, 9\32, 11\39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\18 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\144&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\26, 4\34, 5\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\18 &amp;lt; g &amp;lt; 1\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\27, 3\36, 4\45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\9-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\18 &amp;lt; g &amp;lt; 4\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 71\180&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\28, 15\38, 19\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\18 &amp;lt; g &amp;lt; 8\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 287\396&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 21\29, 29\40, 37\51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\18 &amp;lt; g &amp;lt; 1\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\30, 3\42, 4\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\6-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\18 &amp;lt; g &amp;lt; 8\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 287\468&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\31, 27\44, 35\57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\18 &amp;lt; g &amp;lt; 4\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 71\252&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\32, 13\46, 17\60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\18 &amp;lt; g &amp;lt; 1\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\180&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\33, 3\48, 4\63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\18 &amp;lt; g &amp;lt; 1\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\288&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\34, 3\50, 4\66&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\18 &amp;lt; g &amp;lt; 1\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 35\618&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\35, 3\52, 4\69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:30:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc15"&gt;&lt;a name="x19"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:30 --&gt;19&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18\19 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 37\38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;19\20, 20\21, 21\22&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18g-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\19 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 37\76&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;10\21&lt;/em&gt;, 11\23, 12\25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\19 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 37\114&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;7\22&lt;/em&gt;, 8\25, 10\31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14\19 &amp;lt; g &amp;lt; 3\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 113\152&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\23, 20\27, 23\31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15g-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15\19 &amp;lt; g &amp;lt; 4\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 151\190&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\24, 23\29, 27\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14g-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\19 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 37\228&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\25, 5\31, 6/37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\19 &amp;lt; g &amp;lt; 3\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 113\266&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\26, 14\33, 17\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\19 &amp;lt; g &amp;lt; 3\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 113\304&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 10\27, 13\35, 16\43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\19 &amp;lt; g &amp;lt; 1\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 37\342&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\28, 4\37, 5\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\19 &amp;lt; g &amp;lt; 9\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 341\380&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 26\29, 35\39, 44\49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9-10g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12\19 &amp;lt; g &amp;lt; 7\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 265\418&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\30, 26\41, 33\52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\19 &amp;lt; g &amp;lt; 7\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 265\456&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 18\31, 25\43, 32\55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-12g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16\19 &amp;lt; g &amp;lt; 11\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 417\494&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 27\32, 38\45, 49\58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\19 &amp;lt; g &amp;lt; 3\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 113\532&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\33, 10\47, 13\61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-14g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\19 &amp;lt; g &amp;lt; 4\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 151\570&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\34, 13\49, 17\64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-15g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\19 &amp;lt; g &amp;lt; 11\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 417\608&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 24\35, 35\51, 46\67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11-16g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10\19 &amp;lt; g &amp;lt; 9\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 341\646&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\36, 28\53, 37\70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\19 &amp;lt; g &amp;lt; 1\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 37\684&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\37, 3\55, 4\73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-18g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:32:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc16"&gt;&lt;a name="x20"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:32 --&gt;20&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\20 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 39\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;20\21, 21\22, 22\23&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19g-18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\20 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;10\22&lt;/em&gt;, 11\24, 12\26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\20 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 79\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;15\23&lt;/em&gt;, 17\26, 20\29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\20 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\24, 6\28, 7\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\20 &amp;lt; g &amp;lt; 1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\25, 5\30, 6\35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\5-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\20 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\26, 5\32, 6\38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\20 &amp;lt; g &amp;lt; 6\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 239\280&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\27, 29\34, 35\41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\20 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\28, 4\36, 5\44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\20 &amp;lt; g &amp;lt; 5\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 199\360&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 16\29, 21\38, 26\47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\20 &amp;lt; g &amp;lt; 1\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\30, 3\40, 4\50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\10-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\20 &amp;lt; g &amp;lt; 5\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 199\440&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 14\31, 19\42, 24\53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\20 &amp;lt; g &amp;lt; 2\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\32, 7\44, 9\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\20 &amp;lt; g &amp;lt; 2\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 79\520&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\33, 7\46, 9\59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\20 &amp;lt; g &amp;lt; 5\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 99\280&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 12\34, 17\48, 22\62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\2-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\20 &amp;lt; g &amp;lt; 1\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\120&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\35, 3\50, 4\65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\5-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\20 &amp;lt; g &amp;lt; 1\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\160&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\36, 3\52, 4\68&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\20 &amp;lt; g &amp;lt; 6\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 239\680&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\37, 19\54, 25\71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\20 &amp;lt; g &amp;lt; 1\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\360&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\38, 3\56, 4\74&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\20 &amp;lt; g &amp;lt; 1\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 39\760&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\39, 3\58, 4\77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-19g+1&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:34:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc17"&gt;&lt;a name="x21"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:34 --&gt;21&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L20s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20\21 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;21\22, 22\23, 23\24&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20g-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10\21 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\84&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;11\23, 12\25&lt;/em&gt;, 13\27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19g-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\21 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;7\24&lt;/em&gt;, 8\27, 9\30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-5\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\21 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\168&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;6\25&lt;/em&gt;, 7\29, 8\33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\21 &amp;lt; g &amp;lt; 1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\210&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\26, 6\31, 7\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\21 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\84&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\27, 5\33, 6\39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\21 &amp;lt; g &amp;lt; 1\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\28, 4\35, 5\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\7-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\21 &amp;lt; g &amp;lt; 5\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 209\336&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 18\29, 23\37, 28\45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\21 &amp;lt; g &amp;lt; 1\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\126&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\30, 4\39, 5\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\21 &amp;lt; g &amp;lt; 1\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\420&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\31, 4\41, 5\51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-10g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\21 &amp;lt; g &amp;lt; 10\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 419\462&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\32, 39\43, 49\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10g-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\21 &amp;lt; g &amp;lt; 3\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\168&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 8\33, 11\45, 14\57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\21 &amp;lt; g &amp;lt; 5\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 209\546&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\34, 18\47, 23\70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\21 &amp;lt; g &amp;lt; 1\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\84&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\35, 3\49, 4\63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\7-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\21 &amp;lt; g &amp;lt; 3\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\210&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\36, 10\51, 13\66&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\21 &amp;lt; g &amp;lt; 13\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 545\672&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 30\37, 43\53, 56\69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13-16g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16\21 &amp;lt; g &amp;lt; 13\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 545\714&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\38, 42\55, 55\72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\21 &amp;lt; g &amp;lt; 1\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\252&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\39, 3\57, 4\75&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\21 &amp;lt; g &amp;lt; 10\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 419\798&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 21\40, 31\59, 41\78&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10-19g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\21 &amp;lt; g &amp;lt; 1\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\840&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\41, 3\61, 4/81&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-20g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:36:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc18"&gt;&lt;a name="x22"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:36 --&gt;22&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff; color: #000000;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L21s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21\22 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 43\44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;22\23,&lt;/em&gt; &lt;em&gt;23\24,&lt;/em&gt; &lt;em&gt;24/25&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21g-20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L20s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10\22 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 21\44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;11\24,&lt;/em&gt; &lt;em&gt;12\26&lt;/em&gt;, 13\28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10g-9\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\22 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 43\132&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;8\25&lt;/em&gt;, 9\28, 10\31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19g-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\22 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 21\88&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;6\26&lt;/em&gt;, 7\30, 8\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\22 &amp;lt; g &amp;lt; 3\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 131\220&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 16\27, 19\32, 22\37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\22 &amp;lt; g &amp;lt; 2\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 43\132&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\28, 11\34, 13\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-5\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\22 &amp;lt; g &amp;lt; 1\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 43\308&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\29, 5\36, 6\43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\22 &amp;lt; g &amp;lt; 3\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 65\176&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\30, 14\38, 17\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-5\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\2-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\22 &amp;lt; g &amp;lt; 7\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 307\396&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 24\31, 31\40, 38\49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\22 &amp;lt; g &amp;lt; 1\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 21\220&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\32, 4\42, 5\52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\22 &amp;lt; g &amp;lt; 1\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\33, 3\44, 4\55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\11-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\22 &amp;lt; g &amp;lt; 5\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 109\264&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 14\34, 19\46, 24\58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\2-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\22 &amp;lt; g &amp;lt; 3\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 131\572&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 8\35, 11\48, 14\61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\22 &amp;lt; g &amp;lt; 2\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 43\308&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\36, 7\50, 9\64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\22 &amp;lt; g &amp;lt; 13\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 571\660&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 32\37, 45\52, 58\67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13-15g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\22 &amp;lt; g &amp;lt; 3\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 65\352&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\38, 10\54, 13\70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\2-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\22 &amp;lt; g &amp;lt; 7\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 207\748&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 16\39, 23\56, 30\73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\22 &amp;lt; g &amp;lt; 5\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 109\396&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\40, 16\58, 21\76&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\2-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15\22 &amp;lt; g &amp;lt; 13\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 571\836&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 28\41, 41\60, 54\79&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13-19g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\22 &amp;lt; g &amp;lt; 1\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 21\440&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\42, 3\62, 4\72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-10g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\22 &amp;lt; g &amp;lt; 1\21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 43\924&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\43, 3\64, 4\85&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-21g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:38:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc19"&gt;&lt;a name="x23"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:38 --&gt;23&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L22s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;22\23 &amp;lt; g &amp;lt; 1&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 45\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;23\24, 24\25, 25\26&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22g-21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L21s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\23 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 45\92&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;12\25, 13\27&lt;/em&gt;, 14\29&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21g-10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L20s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15\23 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 91\138&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;17\26&lt;/em&gt;, 19\29, 21\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20g-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\23 &amp;lt; g &amp;lt; 3\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 137\184&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;20\27&lt;/em&gt;, 23\31, 26\35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19g-14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\23 &amp;lt; g &amp;lt; 2\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 91\230&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\28, 13\33, 15\38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\23 &amp;lt; g &amp;lt; 5\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 229\276&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 24\29, 29\35, 34\41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\23 &amp;lt; g &amp;lt; 4\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 183\322&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\30,&lt;span style="line-height: 15.6000003814697px;"&gt; 21\37,&lt;/span&gt; 25\44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16g-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20\23 &amp;lt; g &amp;lt; 7\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 321\368&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 27\31, 34\39, 41\47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15g-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\23 &amp;lt; g &amp;lt; 2\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 91\414&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\32, 9\41, 11\50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;11-9g&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16\23 &amp;lt; g &amp;lt; 7\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 321\460&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\33, 30\43, 37\53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-10g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\23 &amp;lt; g &amp;lt; 1\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 45\506&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\34, 4\45, 5\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21\23 &amp;lt; g &amp;lt; 11\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 505\552&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 32\35, 43\47, 54\59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;11g-10&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11-12g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\23 &amp;lt; g &amp;lt; 4\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 183\598&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\36, 15\49, 19\62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18\23 &amp;lt; g &amp;lt; 11\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 505\644&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\37, 40\51, 51\65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11-14g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\23 &amp;lt; g &amp;lt; 2\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 91\690&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\38, 7\53, 9\68&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-15g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10\23 &amp;lt; g &amp;lt; 7\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 321\736&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\39, 24\55, 31\71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;7-16g&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\23 &amp;lt; g &amp;lt; 3\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 137\782&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\40, 10\57, 13\74&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14\23 &amp;lt; g &amp;lt; 11\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 505\828&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\41, 36\59, 47\77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11-18g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\23 &amp;lt; g &amp;lt; 5\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 229\874&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\42, 16\61, 21\80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-19g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\23 &amp;lt; g &amp;lt; 7\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 321\920&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 15\43, 22\63, 29\83&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13-20g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12\23 &amp;lt; g &amp;lt; 11\21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 505\966&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\44, 34\65, 45\86&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-21g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\23 &amp;lt; g &amp;lt; 1\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 45\1012&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\45, 3\67, 4\89&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-22g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:40:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc20"&gt;&lt;a name="x24"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:40 --&gt;24&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L23s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23\24 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 47\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;24\25, 25\26, 26\27&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23g-22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L22s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\24 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;12\26, 13\28&lt;/em&gt;, 14\30&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1/2-g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-5&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L21s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\24 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 15\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;8\27&lt;/em&gt;, 9\30, 10\33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2/3-2g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g-1/3&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L20s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\24 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;6\28&lt;/em&gt;, 7\32, 8\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1/4-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\24 &amp;lt; g &amp;lt; 4\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 191\240&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;23\29&lt;/em&gt;, 27\34, 31\39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19g-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\24 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\30, 5\36, 6\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\6-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\24 &amp;lt; g &amp;lt; 5\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 239\336&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 22\31, 27\38, 32\45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-17g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\24 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\32, 4\40, 5\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\8-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\24 &amp;lt; g &amp;lt; 2\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\144&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\33, 9\42, 11\51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\3-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\24 &amp;lt; g &amp;lt; 3\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 71\240&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 10\34, 13\44, 16\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\2-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\24 &amp;lt; g &amp;lt; 6\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 287\528&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\35, 25\46, 31\57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\24 &amp;lt; g &amp;lt; 1\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\36, 3\48, 4\60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\12-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\24 &amp;lt; g &amp;lt; 6\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 287\624&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\37, 23\50, 29\63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\24 &amp;lt; g &amp;lt; 10\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 239\336&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 27\38, 37\52, 47\66&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\2-5g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-2&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\24 &amp;lt; g &amp;lt; 2\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\240&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\39, 7\54, 9\69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\3-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\24 &amp;lt; g &amp;lt; 1\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\96&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\40, 3\56, 4\72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\8-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\24 &amp;lt; g &amp;lt; 5\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 239\816&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 12\41, 17\58, 22\75&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-7g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-12&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\24 &amp;lt; g &amp;lt; 1\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\144&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\42, 3\60, 4\78&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\6-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\24 &amp;lt; g &amp;lt; 4\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 191\912&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\43, 13\62, 17\81&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-19g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\24 &amp;lt; g &amp;lt; 1\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\240&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\44, 3\64, 4\84&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\24 &amp;lt; g &amp;lt; 1\21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 15\336&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\45, 3\66, 4\87&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\24 &amp;lt; g &amp;lt; 1\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\264&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\46, 3\68, 4\90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\24 &amp;lt; g &amp;lt; 1\23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 47\1104&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\47, 3\70, 4\93&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-23g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:42:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc21"&gt;&lt;a name="x25"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:42 --&gt;25&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L24s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24\25 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 49\50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;25\26, 26\27, 27\28&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24g-23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L23s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12\25 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 49\100&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;13\27, 14\29&lt;/em&gt;, 15\31&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23g-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L22s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\25 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 49\150&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;9\28&lt;/em&gt;, 10\31, 11\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L21s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\25 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 49\200&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;7\29&lt;/em&gt;, 8\33, 9\37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L20s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\25 &amp;lt; g &amp;lt; 1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;5\30&lt;/em&gt;, 6\35, 7\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\5-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\25 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 49\300&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\31, 6\37, 7\43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\25 &amp;lt; g &amp;lt; 2\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 99\350&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\32, 11\39, 13\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\25 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 49\400&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\33, 5\41, 6\47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;17g-2&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\25 &amp;lt; g &amp;lt; 4\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 199\450&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 15\34, 19\43, 23\52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;-9g+4&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\25 &amp;lt; g &amp;lt; 1\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\100&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\35, 4\45, 5\55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\5-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\25 &amp;lt; g &amp;lt; 4\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 199\550&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\36, 17\47, 21\58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-11g+4&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\25 &amp;lt; g &amp;lt; 1\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 49\600&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\37, 4\49, 5\61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-12g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23\25 &amp;lt; g &amp;lt; 12\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 599\650&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 35\38, 47\51, 59\64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12g-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16\25 &amp;lt; g &amp;lt; 9\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 449\700&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\39, 34\53, 43\67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;-14g+9&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\25 &amp;lt; g &amp;lt; 2\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\150&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\40, 7\55, 9\70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\5-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14\25 &amp;lt; g &amp;lt; 9\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 449\800&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\41, 32\57, 41\73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9-16g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22\25 &amp;lt; g &amp;lt; 15\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 749\850&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 37\42, 52\59, 67\76&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18\25 &amp;lt; g &amp;lt; 13\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 649\900&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\43, 44\61, 57\79&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13-18g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21\25 &amp;lt; g &amp;lt; 16\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 799\950&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 37\44, 53\63, 69\82&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16-19g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\25 &amp;lt; g &amp;lt; 1\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\200&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\45, 3\65, 4\85&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\5-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16\21 &amp;lt; g &amp;lt; 19\25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 799\1050&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 35\46, 51\67, 71\88&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16-21g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\25 &amp;lt; g &amp;lt; 15\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 749\1100&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 32\47, 47\69, 62\91&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15-22g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\25 &amp;lt; g &amp;lt; 12\23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 599\1150&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\48, 37\71, 49\94&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11-23g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\25 &amp;lt; g &amp;lt; 1\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 49\1200&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\49, 3\73, 4\97&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-24g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:44:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc22"&gt;&lt;a name="x26"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:44 --&gt;26&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L25s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25\26 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 51\52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;26\27, 27\28, 28\29&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25g-24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L24s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12\26 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;13\28, 14\30&lt;/em&gt;, 15\32&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12g-11\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L23s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\26 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 103\156&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;19\29&lt;/em&gt;, 21\32, 23\35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23g-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L22s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\26 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\104&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;7\30&lt;/em&gt;, 8\34, 9\38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-5\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;1\2-2g&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L21s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\26 &amp;lt; g &amp;lt; 1\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 51\260&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;6\31&lt;/em&gt;, 7\36, 8\41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L20s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\26 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\156&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\32, 6\38, 7\44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10g-3\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\26 &amp;lt; g &amp;lt; 3\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 155\364&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 14\33, 17\40, 20\47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19g-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\26 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\208&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\34, 5\42, 6\50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23\26 &amp;lt; g &amp;lt; 8\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 415\468&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\35, 39\44, 47\53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\26 &amp;lt; g &amp;lt; 2\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 51\260&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\36, 9\46, 11\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-3\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\26 &amp;lt; g &amp;lt; 3\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 155\572&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 10\37, 13\48, 16\59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\26 &amp;lt; g &amp;lt; 1\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\312&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\38, 4\50, 5\62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\26 &amp;lt; g &amp;lt; 1\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\39, 3\52, 4\65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\13-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;14L12s&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\26 &amp;lt; g &amp;lt; 6\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 155\364&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\40, 23\54, 29\68&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-5\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;15L11s&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\26 &amp;lt; g &amp;lt; 11\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 571\780&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 30\41, 41\56, 52\71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11-15g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;16L10s&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\26 &amp;lt; g &amp;lt; 5\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 129\416&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\42, 18\58, 23\74&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\2-8g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-4&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;17L9s&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\26 &amp;lt; g &amp;lt; 2\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 103\884&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\43, 7\60, 9\77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;18L&lt;/span&gt;8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10\26 &amp;lt; g &amp;lt; 7\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 181\468&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\44, 24\62, 31\80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-7\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;19L&lt;/span&gt;7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15\26 &amp;lt; g &amp;lt; 11\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 571\988&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 26\45, 37\64, 48\83&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11-19g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;20L&lt;/span&gt;6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\26 &amp;lt; g &amp;lt; 7\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 181\520&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 16\46, 23\66, 30\86&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\2-10g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;21L&lt;/span&gt;5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21\26 &amp;lt; g &amp;lt; 17\21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 883\1092&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 38\47, 55\68, 72\89&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16-21g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;22L&lt;/span&gt;4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\26 &amp;lt; g &amp;lt; 6\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 155\572&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\48, 19\70, 25\92&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;23L&lt;/span&gt;3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\26 &amp;lt; g &amp;lt; 8\23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 415\1196&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\49, 25\72, 33/95&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8-23g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;24L&lt;/span&gt;2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\26 &amp;lt; g &amp;lt; 1\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 25\312&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\50, 3\74, 4\98&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-12g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\26 &amp;lt; g &amp;lt; 1\25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 51\1300&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\51, 3\76, 4\101&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-25g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:46:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc23"&gt;&lt;a name="x27"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:46 --&gt;27&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L26s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26\27 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 53\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;g = &lt;em&gt;27\28,&lt;/em&gt;&lt;/span&gt; &lt;em&gt;28\29, 29\30&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26g-25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L25s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\27 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 53\108&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;14\29, 15\31&lt;/em&gt;, 16\33&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25g-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L24s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\27 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;9\30&lt;/em&gt;, 10\33, 11\36&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-7\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L23s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20\27 &amp;lt; g &amp;lt; 3\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 161\216&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;23\31&lt;/em&gt;, 26\35, 29\39&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23g-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L22s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16\27 &amp;lt; g &amp;lt; 3\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 161\270&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;19\32&lt;/em&gt;, 22\37, 25\42&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22g-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L21s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\27 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\108&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\33, 6\39, 7\45&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L20s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23\27 &amp;lt; g &amp;lt; 6\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 323\378&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\34, 35\41, 41\48&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20g-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10\27 &amp;lt; g &amp;lt; 3\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 161\432&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\35, 16\43, 19\51&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\27 &amp;lt; g &amp;lt; 1\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\36, 4\45, 5\54&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\9-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\27 &amp;lt; g &amp;lt; 3\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 161\540&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\37, 14\47, 17\57&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-10g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22\27 &amp;lt; g &amp;lt; 9\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 485\594&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\38, 40\49, 49\60&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16g-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\27 &amp;lt; g &amp;lt; 1\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\216&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\39, 4\51, 5\63&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\27 &amp;lt; g &amp;lt; 1\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 53\702&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\40, 4\53, 5\66&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25\27 &amp;lt; g &amp;lt; 13\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 701\756&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 38\41, 51\55, 64\69&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13-14g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\27 &amp;lt; g &amp;lt; 4\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 71\270&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\42, 15\57, 19\72&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14\3-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\27 &amp;lt; g &amp;lt; 3\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 161\864&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 8\43, 11\59, 14\75&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-16g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\27 &amp;lt; g &amp;lt; 12\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 647\918&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\44, 43\61, 55\78&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\27 &amp;lt; g &amp;lt; 1\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\108&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\45, 3\63, 4\81&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\9-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\27 &amp;lt; g &amp;lt; 12\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 647\1026&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\46, 41\65, 53\84&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12-19g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\27 &amp;lt; g &amp;lt; 3\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 161\1080&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\47, 10\67, 13\87&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3-20g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\27 &amp;lt; g &amp;lt; 4\21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 71\378&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\48, 13\69, 17\90&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;11&lt;/span&gt;\27 &amp;lt; g &amp;lt; 9\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 485\1188&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 20\49, 29\71, 38\93&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9-22g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\27 &amp;lt; g &amp;lt; 6\23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 323\1242&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\50, 19\73, 25\96&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6-23g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\27 &amp;lt; g &amp;lt; 1\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\432&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\51, 3\75, 4\99&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\3-8g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14\27 &amp;lt; g &amp;lt; 13\25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 701\1350&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 27\52, 40\77, 53\102&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13-25g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\27 &amp;lt; g &amp;lt; 1\26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 53\1404&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\53, 3\79, 4\105&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-26g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:48:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc24"&gt;&lt;a name="x28"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:48 --&gt;28&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L27s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27\28 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 55\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;28\29,&lt;/em&gt; &lt;em&gt;29\30, 30\31&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27g-26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L26s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\28 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 27\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;14\30, 15\32&lt;/em&gt;, 16\34&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\2-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L25s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\28 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 55\168&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;10\31&lt;/em&gt;,&lt;span style="line-height: 15.6000003814697px;"&gt; 11\34,&lt;/span&gt; 12\37&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25g-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L24s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\28 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;7\32&lt;/em&gt;, 8\36, 9\40&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-5\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L23s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\28 &amp;lt; g &amp;lt; 2\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 111\280&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;13\33&lt;/em&gt;, 15\38, 17\43&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23g-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L22s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\28 &amp;lt; g &amp;lt; 2\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 55\168&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\34, 13\40, 15\46&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-7\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L21s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\28 &amp;lt; g &amp;lt; 1\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\35, 5\42, 6\49&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\7-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L20s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\28 &amp;lt; g &amp;lt; 1\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\112&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\36, 5\44, 6\52&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\28 &amp;lt; g &amp;lt; 1\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 55\504&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 4\37, 5\46, 6\55&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\28 &amp;lt; g &amp;lt; 4\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 111\280&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 15\38, 19\48, 23\58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-7\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\28 &amp;lt; g &amp;lt; 2\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 111\616&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\39, 9\50, 11\61&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\28 &amp;lt; g &amp;lt; 1\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\168&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\40, 4\52, 5\64&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15\28 &amp;lt; g &amp;lt; 7\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 391\728&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 22\41, 29\54, 36\67&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15g-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\28 &amp;lt; g &amp;lt; 1\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\42, 3\56, 4\70&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\14-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;15L13s&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\28 &amp;lt; g &amp;lt; 7\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 391\840&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 20\43, 27\58, 34\73&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-15g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;16L12s&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\28 &amp;lt; g &amp;lt; 3\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\224&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 8\44, 11\60, 14\76&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\4-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;17L11s&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23\28 &amp;lt; g &amp;lt; 14\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 783\952&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 37\45, 51\62, 65\79&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;18L10s&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\28 &amp;lt; g &amp;lt; 2\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 55\504&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\46, 7\64, 9\82&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;19L9s&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25\28 &amp;lt; g &amp;lt; 17\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 951\1064&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 42\47, 59\66, 76\85&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17-19g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;20L&lt;/span&gt;8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\28 &amp;lt; g &amp;lt; 3\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\280&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\48, 10\68, 13\88&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\4-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;21L7s&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\28 &amp;lt; g &amp;lt; 1\21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 7\168&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\49, 3\70, 4\91&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;1\7-3g&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;22L&lt;/span&gt;6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\28 &amp;lt; g &amp;lt; 4\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 111\616&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\50, 13\72, 17\94&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;23L&lt;/span&gt;5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\28 &amp;lt; g &amp;lt; 14\23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 783\1288&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 31\51, 45\74, 59\97&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14-23g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;24L&lt;/span&gt;4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\28 &amp;lt; g &amp;lt; 1\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\336&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\52, 3\76, 4\100&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\4-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;25L&lt;/span&gt;3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\28 &amp;lt; g &amp;lt; 17\25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 951\1400&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 36\53, 53\78, 70\103&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17-25g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;26L&lt;/span&gt;2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15\28 &amp;lt; g &amp;lt; 14\26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 391\728&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\54, 43\80, 57\106&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g-1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\2-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\28 &amp;lt; g &amp;lt; 1\27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 55\1512&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\55, 3\82, 4\109&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-27g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:50:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc25"&gt;&lt;a name="x29"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:50 --&gt;29&lt;/h1&gt;
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;Large-small numbers&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Generator range&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="background-color: #ffffff;"&gt;Midpoint&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Large step&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;Small step&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;1L28s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;28\29 &amp;lt; g &amp;lt; 1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 57\58&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;29\30, 30\31, 31\32&lt;/em&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;28g-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;2L27s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14\29 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 57\116&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;15\31&lt;/em&gt;, &lt;em&gt;16\33&lt;/em&gt;, 17\35&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27g-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-2g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;3L26s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\29 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 115\174&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;21\32&lt;/em&gt;, 23\35, 25\38&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26g-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-3g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;4L25s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7\29 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 57\232&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;8\33&lt;/em&gt;, 9\37, 10\41&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25g-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-4g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;5L24s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23\29 &amp;lt; g &amp;lt; 4\5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 231\290&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = &lt;em&gt;27\34&lt;/em&gt;, 31\39, 35\44&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24g-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-5g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;6L23s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;24\29 &amp;lt; g &amp;lt; 5\6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 289\348&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\35, 34\41, 39\47&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;23g-19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-6g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;7L22s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4\29 &amp;lt; g &amp;lt; 1\7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 57\406&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\36, 6\43, 7\50&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-7g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;8L21s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18\29 &amp;lt; g &amp;lt; 5\8&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 289\464&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 23\37, 28\45, 33\53&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;21g-13&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;span style="line-height: 15.6000003814697px;"&gt;5-8g&lt;/span&gt;&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;9L20s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16\29 &amp;lt; g &amp;lt; 5\9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 289\522&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 21\38, 26\47, 31\56&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20g-11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-9g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;10L19s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;26\29 &amp;lt; g &amp;lt; 9\10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 521\580&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 35\39, 44\49, 53\59&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19g-17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9-10g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;11L18s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;21\29 &amp;lt; g &amp;lt; 8\11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 463\638&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\40, 37\51, 45\62&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;18g-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8-11g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;12L17s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12\29 &amp;lt; g &amp;lt; 5\12&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 289\696&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 17\41, 22\53, 27\65&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17g-7&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-12g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;13L16s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;20\29 &amp;lt; g &amp;lt; 9\13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 521\754&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\42, 38\55, 47\68&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;16g+11&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9-13g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;14L15s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2\29 &amp;lt; g &amp;lt; 1\14&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 57\812&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 3\43, 4\57, 5\71&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-14g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;15L14s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;27\29 &amp;lt; g &amp;lt; 14\15&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 811\870&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\44, 55\59, 69\74&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14g-13&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;14-15g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;16L13s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9\29 &amp;lt; g &amp;lt; 5\16&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 289\928&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 14\45, 19\61, 24\77&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13g-4&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-16g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;17L12s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17\29 &amp;lt; g &amp;lt; 10\17&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 579\986&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 27\46, 37\63, 47\80&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;12g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7-17g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;18L11s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8\29 &amp;lt; g &amp;lt; 5\18&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 289\1044&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 13\47, 18\65, 23\83&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-18g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;19L10s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3\29 &amp;lt; g &amp;lt; 2\19&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 115\1102&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 5\48, 7\67, 9\86&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2-19g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;20L9s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;13\29 &amp;lt; g &amp;lt; 9\20&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 521\1160&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 22\49, 31\69, 40\89&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9g-5&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9-20g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;21L8s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;11\29 &amp;lt; g &amp;lt; 8\21&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 463\1216&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\50, 27\71, 35\92&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;8-21g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;22L7s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;25\29 &amp;lt; g &amp;lt; 19\22&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 1001\1274&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 44\51, 63\73, 82\95&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;7g-6&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;9-22g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;23L6s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5\29 &amp;lt; g &amp;lt; 4\23&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 231\1332&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 9\52, 13\75, 17\98&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4-23g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;24L5s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;6\29 &amp;lt; g &amp;lt; 5\24&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 289\1392&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 11\53, 16\77, 21\101&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5g-9&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;5-24g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;25L4s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;22\29 &amp;lt; g &amp;lt; 19\25&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 1001\1450&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 41\54, 60\79, 79\104&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;4g-3&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19-25g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;26L3s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;10\29 &amp;lt; g &amp;lt; 9\26&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 521\1508&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 19\55, 28\81, 37\107&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;3g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;19\2-26g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;27L2s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;15\29 &amp;lt; g &amp;lt; 14\27&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 811\1564&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 29\56, 43\83, 57\110&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;2g-1&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;17-27g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;28L1s&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1\29 &amp;lt; g &amp;lt; 1\28&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 57\1622&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g = 2\57,&lt;span style="line-height: 15.6000003814697px;"&gt; 3\85,&lt;/span&gt; 4\113&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;g&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;1-28g&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&gt;
 
&lt;/body&gt;&lt;/html&gt;</pre></div>

Latest revision as of 11:53, 29 February 2024

Below are ranges of generators for various L-s patterns of MOS scales, with the number of steps in the scale from 2 to 29. The ranges are given in fractions of the interval of equivalence, which is normally an octave. The tables give the range of bright generators in the second column, normalized so that the lower end of the range is where L/s = 1 (Nedo). The third column gives the boundaries of propriety, maximum expressiveness and diatonicity (i.e. best, better and good behavior). Finally, the fourth column gives the formula for the size of the chroma. We have normalized to the formula for the step size where the leading term is positive.

2, 3, and 4-tone

Note 1: These sets are given for the sake of completeness as they are not really scales

Note 2: monosmall patterns are italicized from here below as the boundary of propriety does not apply to them

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 1s 1\2 < g < 1 g = 2\3, 3\4, 4\5-5\6 g-(1-g) = 2g-1
1L 2s 2\3 < g < 1 g = 3\4, 4\5, 5\6-6\7 2g-1-(1-g) = 3g-2
2L 1s 1\3 < g < 1\2 g = 2\5, 3\7, 4\9-5\11 g-(1-2g)= 3g-1
1L 3s 3\4 < g < 1 g = 4\5, 5\6, 6\7-7\8 3g-2-(1-g) = 4g-3
2L 2s = 1L 1s (2) 1\4 < g < 1\2 g = 2\6, 3\8, 4\10-5\12 g-(1\2-g) = 2g-1\2
3L 1s 1\4 < g < 1\3 g = 2\7, 3\10, 4\13-5\16 g-(1-3g) = 4g-1

5-tone

Note: italicized generators from here below generate scales which are weakly tonal

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 4s 4\5 < g < 1 g = 5\6, 6\7, 7\8-8\9 4g-3-(1-g) = 5g-4
2L 3s 2\5 < g < 1\2 g = 3\7, 4\9, 5\11-6\13 3g-1-(1-2g) = 5g-2
3L 2s 3\5 < g < 2\3 g = 5\8, 7\11, 9\14-11\17 2g-1-(2-3g) = 5g-3
4L 1s 1\5 < g < 1\4 g = 2\9, 3\13, 4\17-5\21 g-(1-4g) = 5g-1

6-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 5s 5\6 < g < 1 g = 6\7, 7\8, 8\9-9\10 5g-4-(1-g) = 6g-5
2L 4s 2\6 < g < 1\2 g = 3\8, 4\10, 5\12-6\14 2g-1\2-(1\2-g) = 3g-1
3L 3s = 1L 1s (3) 1\6 < g < 1\3 g = 2\9, 3\12, 4\15-5\18 g-(1\3-g) = 2g-1\3
4L 2s = 2L 1s (2) 1\6 < g < 1\4 g = 2\10, 3\14, 4\18-5\22 g-(1\2-2g) = 3g-1\2
5L 1s 1\6 < g < 1\5 g = 2\11, 3\16, 4\21-5\26 g-(1-5g) = 6g-1

7-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 6s 6\7 < g < 1 g = 7\8, 8\9, 9\10-10\11 6g-5-(1-g) = 7g-6
2L 5s 3\7 < g < 1\2 g = 4\9, 5\11, 6\13-7\15 5g-2-(1-2g) = 7g-3
3L 4s 2\7 < g < 1\3 g = 3\10, 4\13, 5\16-6\19 4g-1-(1-3g) = 7g-2
4L 3s 5\7 < g < 3\4 g = 8\11, 11\15, 14\19-17\23 3g-2-(3-4g) = 7g-5
5L 2s 4\7 < g < 3\5 g = 7\12, 10\17, 13\22-16\27 2g-1-(3-5g) = 7g-4
6L 1s 1\7 < g < 1\6 g = 2\13, 3\19, 4\25-5\31 g-(1-6g) = 7g-1

8-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 7s 7\8 < g < 1 g = 8\9, 9\10, 10\11-11\12 7g-6-(1-g) = 8g-7
2L 6s = 1L 3s (2) 3\8 < g < 1\2 g = 4\10, 5\12, 6\14-7\16 3g-1-(1\2-g) = 4g-3\2
3L 5s 5\8 < g < 2\3 g = 7\11, 9\14, 11\17-13\20 5g-3-(2-3g) = 8g-5
4L 4s = 1L 1s (4) 1\8 < g < 1\4 g = 2\12, 3\16, 4\20-5\24 g-(1\4-g) = 2g-1\4
5L 3s 3\8 < g < 2\5 g = 5\13, 7\18, 9\23-11\28 3g-1-(2-5g) = 8g-3
6L 2s = 3L 1s (2) 1\8 < g < 1\6 g = 2\14, 3\20, 4\26-5\32 g-(1\2-3g) = 4g-1\2
7L 1s 1\8 < g < 1\7 g = 2\15, 3\22, 4\29-5\36 g-(1-7g) = 8g-1

9-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 8s 8\9 < g < 1 g = 9\10, 10\11, 11\12-12\13 8g-7-(1-g) = 9g-8
2L 7s 4\9 < g < 1\2 g = 5\11, 6\13, 7\15-8\17 7g-3-(1-2g) = 9g-4
3L 6s 2\9 < g < 1\3 g = 3\12, 4\15, 5\18-6\21 2g-1\3-(1\3-g) = 3g-2\3
4L 5s 2\9 < g < 1\4 g = 3\13, 4\17, 5\21-6\25 5g-1-(1-4g) = 9g-2
5L 4s 7\9 < g < 4\5 g = 11\14, 15\19, 19\24-23\29 4g-3-(4-5g) = 9g-7
6L 3s = 2L 1s (3) 1\9 < g < 1\6 g = 2\15, 3\21, 4\27-5\33 g-(1\3-2g) = 3g-1\3
7L 2s 5\9 < g < 4\7 g = 9\16, 13\23, 17\30-21\37 2g-1-(4-7g) = 9g-5
8L 1s 1\9 < g < 1\8 g = 2\17, 3\25, 4\33-5\41 g-(1-8g) = 9g-1

10-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 9s 9\10 < g < 1 g = 10\11, 11\12, 12\13-13\14 9g-8-(1-g) = 10g-9
2L 8s 4\10 < g < 1\2 g = 5\12, 6\14, 7\16-8\18 4g-3\2-(1\2-g) = 5g-2
3L 7s 3\10 < g < 1\3 g = 4\13, 5\16, 6\19-7\22 7g-2-(1-3g) = 10g-3
4L 6s 2\10 < g < 1\4 g = 3\14, 4\18, 5\22-6\26 3g-1\2-(1\2-2g) = 5g-1
5L 5s = 1L 1s (5) 1\10 < g < 1\5 g = 2\15, 3\20, 4\25-5\30 g-(1\5-g) = 2g-1\5
6L 4s 3\10 < g < 2\6 g = 5\16, 7\22, 9\28-11\34 2g-1\2-(1-3g) = 5g-3\2
7L 3s 7\10 < g < 5\7 g = 12\17, 17\24, 22\31-27\38 3g-2-(5-7g) = 10g-7
8L 2s = 4L 1s (2) 1\10 < g < 1\8 g = 2\18, 3\26, 4\34-5\42 g-(1\2-4g) = 5g-1\2
9L 1s 1\10 < g < 1\9 g = 2\19, 3\28, 4\37-5\46 g-(1-9g) = 10g-1

11-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 10s 10\11 < g < 1 g = 11\12, 12\13, 13\14-14\15 10g-9-(1-g) = 11g-10
2L 9s 5\11 < g < 1\2 g = 6\13, 7\15, 8\17-9\19 9g-4-(1-2g) = 11g-5
3L 8s 7\11 < g < 2\3 g = 9\14, 11\17, 13\20-15\23 8g-5-(2-3g) = 11g-7
4L 7s 8\11 < g < 3\4 g = 11\15, 14\19, 17\23-20\27 7g-5-(3-4g) = 11g-8
5L 6s 2\11 < g < 1\5 g = 3\16, 4\21, 5\26-6\31 6g-1-(1-5g) = 11g-2
6L 5s 9\11 < g < 5\6 g = 14\17, 19\23, 24\29-29\35 5g-4-(5-6g) = 11g-9
7L 4s 3\11 < g < 2\7 g = 5\18, 7\25, 9\32-11\39 4g-1-(2-7g) = 11g-3
8L 3s 4\11 < g < 3\8 g = 7\19, 10\27, 13\35-16\43 3g-1-(3-8g) = 11g-4
9L 2s 6\11 < g < 5\9 g = 11\20, 16\29, 21\38-26\47 2g-1-(5-9g) = 11g-6
10L 1s 1\11 < g < 1\10 g = 2\21, 3\31, 4\41-5\51 g+1-10g = 11g-1

12-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 11s 11\12 < g < 1 g = 12\13, 13\14, 14\15-15\16 11g-10-(1-g) = 12g-11
2L 10s 5\12 < g < 1\2 g = 6\14, 7\16, 8\18-9\20 5g-2-(1\2-g) = 6g-5\2
3L 9s 3\12 < g < 1\3 g = 4\15, 5\18, 6\21-7\24 3g-2\3-(1\3-g) = 4g-1
4L 8s 2\12 < g < 1\4 g = 3\16, 4\20, 5\24-6\28 2g-1\4-(1\4-g) = 3g-1\2
5L 7s 7\12 < g < 3\5 g = 10\17, 13\22, 16\27-19\32 7g-4-(3-5g) = 12g-7
6L 6s = 1L 1s (6) 1\12 < g < 1\6 g = 2\18, 3\24, 4\30-5\36 g-(1\6-g) = 2g-1\6
7L 5s 5\12 < g < 3\7 g = 8\19, 11\26, 14\33-17\40 5g-2-(3-7g) = 12g-5
8L 4s = 2L 1s (4) 1\12 < g < 1\8 g = 2\20, 3\28, 4\36-5\44 g-(1\4-2g) = 3g-1\4
9L 3s = 3L 1s (3) 1\12 < g < 1\9 g = 2\21, 3\30, 4\39-5\48 g-(1\3-3g) = 4g-1\3
10L 2s = 5L 1s (2) 1\12 < g < 1\10 g = 2\22, 3\32, 4\42-5\52 g-(1\2-5g) = 6g-1\2
11L 1s 1\12 < g < 1\11 g = 2\23, 3\34, 4\45-5\56 g-(1-11g) = 12g-1

13-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 12s 12\13 < g < 1 g = 13\14, 14\15, 15\16-16\17 12g-11-(1-g) = 13g-12
2L 11s 6\13 < g < 1\2 g = 7\15, 8\17, 9\19-10\21 11g-5-(1-2g) = 13g-6
3L 10s 4\13 < g < 1\3 g = 5\16, 6\19, 7\22-8\25 10g-3-(1-3g) = 13g-4
4L 9s 3\13 < g < 1\4 g = 4\17, 5\21, 6\25-7\29 9g-2-(1-4g) = 13g-3
5L 8s 5\13 < g < 2\5 g = 7\18, 9\23, 11\28-13\33 8g-3-(2-5g) = 13g-5
6L 7s 2\13 < g < 1\6 g = 3\19, 4\25, 5\31-6\37 7g-1-(1-6g) = 13g-2
7L 6s 11\13 < g < 6\7 g = 17\20, 23\27, 29\34-35\41 6g-5-(6-7g) = 13g-11
8L 5s 8\13 < g < 5\8 g = 13\21, 18\29, 23\37-28\45 5g-3-(5-8g) = 13g-8
9L 4s 10\13 < g < 7\9 g = 17\22, 24\31, 31\40-38\49 4g-3-(7-9g) = 13g-10
10L 3s 9\13 < g < 7\10 g = 16\23, 23\33, 30\43-37\53 3g-2-(7-10g) = 13g-9
11L 2s 7\13 < g < 6\11 g = 13\24, 19\35, 25\46-31\57 2g-1-(6-11g) = 13g-7
12L 1s 1\13 < g < 1\12 g = 2\25, 3\37, 4\49-5\61 g-(1-12g) = 13g-1

14-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 13s 13\14 < g < 1 g = 14\15, 15\16, 16\17-17\18 13g-12-(1-g) = 14g-13
2L 12s 6\14 < g < 1\2 g = 7\16, 8\18, 9\20-10\22 6g-5\2-(1\2-g) = 7g-3
3L 11s 9\14 < g < 2\3 g = 11\17, 13\20, 15\23-17\26 11g-7-(2-3g) = 14g-9
4L 10s 3\14 < g < 1\4 g = 4\18, 5\22, 6\26-7\30 5g-1-(1\2-2g) = 7g-3\2
5L 9s 11\14 < g < 4\5 g = 15\19, 19\24, 23\29-27\34 9g-7-(4-5g) = 14g-11
6L 8s 2\14 < g < 1\6 g = 3\20, 4\26, 5\32-6\38 4g-1\2-(1\2-3g) = 7g-1
7L 7s = 1L 1s (7) 1\14 < g < 1\7 g = 2\21, 3\28, 4\35-5\42 g-(1\7-g) = 2g-1\7
8L 6s 5\14 < g < 3\8 g = 8\22, 11\30, 14\38-17\46 3g-1-(3\2-4g) = 7g-5\2
9L 5s 3\14 < g < 2\9 g = 5\23, 7\32, 9\41-11\50 5g-1-(2-9g) = 14g-3
10L 4s 4\14 < g < 3\10 g = 7\24, 10\34, 13\44-16\54 2g-1\2-(3\2-5g) = 7g-2
11L 3s 5\14 < g < 4\11 g = 9\25, 13\36, 17\47-21\58 3g-1-(4-11g) = 14g-5
12L 2s = 6L 1s (2) 1\14 < g < 1\12 g = 2\26, 3\38, 4\50-5\62 g-(1\2-6g) = 7g-1\2
13L 1s 1\14 < g < 1\13 g = 2\27, 3\40, 4\53-5\66 g+1-13g = 14g-1

15-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 14s 14\15 < g < 1 g = 15\16, 16\17, 17\18-18\19 14g-13-(1-g) = 15g-14
2L 13s 7\15 < g < 1\2 g = 8\17, 9\19, 10\21-11\23 13g-6-(1-2g) = 15g-7
3L 12s 4\15 < g < 1\3 g = 5\18, 6\21, 7\24-8\27 4g-1-(1\3-g) = 5g-4\3
4L 11s 11\15 < g < 3\4 g = 14\19, 17\23, 20\27-23\31 11g-8-(3-4g) = 15g-11
5L 10s 2\15 < g < 1\5 g = 3\20, 4\25, 5\30-6\35 2g-1\5-(1\5-g) = 3g-2\5
6L 9s 2\15 < g < 1\6 g = 3\21, 4\27, 5\33-6\39 3g-1\3-(1\3-2g) = 5g-2\3
7L 8s 2\15 < g < 1\7 g = 3\22, 4\29, 5\36-6\43 8g-1-(1-7g) = 15g-2
8L 7s 13\15 < g < 7\8 g = 20\23, 27\31, 34\39-41\47 7g-6-(7-8g) = 15g-13
9L 6s 3\15 < g < 2\9 g = 5\24, 7\33, 9\42-11\51 2g-1\3-(2\3-3g) = 5g-1
10L 5s = 2L 1s (5) 1\15 < g < 1\10 g = 2\25, 3\35, 4\45-5\55 g-(1\5-2g) = 3g-1\5
11L 4s 4\15 < g < 3\11 g = 7\26, 10\37, 13\48-16\59 4g-1-(3-11g) = 15g-4
12L 3s = 4L 1s (3) 1\15 < g < 1\12 g = 2\27, 3\39, 4\51-5\63 g-(1\3-4g) = 5g-1\3
13L 2s 8\15 < g < 7\13 g = 15\28, 22\41, 29\54-36\67 2g-1-(7-13g) = 15g-8
14L 1s 1\15 < g < 1\14 g = 2\29, 3\43, 4\57-5\71 g-(1-14g) = 15g-1

16-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 15s 15\16 < g < 1 g = 16\17, 17\18, 18\19-19\20 15g-14-(1-g) = 16g-15
2L 14s 7\16 < g < 1\2 g = 8\18, 9\20, 10\22-11\24 7g-3-(1\2-g) = 8g-7\2
3L 13s 5\16 < g < 1\3 g = 6\19, 7\22, 8\25-9\28 13g-4-(1-3g) = 16g-5
4L 12s 3\16 < g < 1\4 g = 4\20, 5\24, 6\28-7\32 3g-1\2-(1\4-g) = 4g-3\4
5L 11s 3\16 < g < 1\5 g = 4\21, 5\26, 6\31-7\36 11g-2-(1-5g) = 16g-3
6L 10s 5\16 < g < 2\6 g = 7\22, 9\28, 11\34-13\40 5g-3\2-(1-3g) = 8g-5\2
7L 9s 9\16 < g < 4\7 g = 13\23, 17\30, 21\37-25\44 9g-5-(4-7g) = 16g-9
8L 8s = 1L 1s (8) 1\16 < g < 1\8 g = 2\24, 3\32, 4\40-5\48 g-(1\8-g) = 2g-1\8
9L 7s 7\16 < g < 4\9 g = 11\25, 15\34, 19\43-23\52 7g-3-(4-9g) = 16g-7
10L 6s 3\16 < g < 2\10 g = 5\26, 7\36, 9\46-11\56 3g-1\2-(1-5g) = 8g-3\2
11L 5s 13\16 < g < 9\11 g = 22\27, 31\38, 40\49-49\60 5g-4-(9-11g) = 16g-13
12L 4s = 3L 1s (4) 1\16 < g < 1\12 g = 2\28, 3\40, 4\52-5\64 g-(1\4-3g) = 4g-1\4
13L 3s 11\16 < g < 9\13 g = 20\29, 29\42, 38\55-47\68 3g-2-(9-13g) = 16g-11
14L 2s = 7L 1s (2) 1\16 < g < 1\14 g = 2\30, 3\44, 4\58-5\72 g-(1\2-7g) = 8g-1\2
15L 1s 1\16 < g < 1\15 g = 2\31, 3\46, 4\61-5\76 g-(1-15g) = 16g-1

17-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 16s 16\17 < g < 1 g = 17\18, 18\19, 19\20-20\21 16g-15-(1-g) = 17g-16
2L 15s 8\17 < g < 1\2 g = 9\19, 10\21, 11\23-13\25 15g-7-(1-2g) = 17g-8
3L 14s 11\17 < g < 2\3 g = 13\20, 15\23, 17\26-19\29 14g-9-(2-3g) = 17g-11
4L 13s 4\17 < g < 1\4 g = 5\21, 6\25, 7\29-8\33 13g-3-(1-4g) = 17g-4
5L 12s 10\17 < g < 3\5 g = 13\22, 16\27, 19\32-22\37 12g-7-(3-5g) = 17g-10
6L 11s 14\17 < g < 5\6 g = 19\23, 24\29, 29\35-34\41 11g-9-(5-6g) = 17g-14
7L 10s 12\17 < g < 5\7 g = 17\24, 22\31, 27\38-32\45 10g-7-(5-7g) = 17g-12
8L 9s 2\17 < g < 1\8 g = 3\25, 4\33, 5\41-6\49 9g-1-(1-8g) = 17g-2
9L 8s 15\17 < g < 8\9 g = 23\26, 31\35, 39\44-47\53 8g-7-(8-9g) = 17g-15
10L 7s 5\17 < g < 3\10 g = 8\27, 11\37, 14\47-17\57 7g-2-(3-10g) = 17g-5
11L 6s 3\17 < g < 2\11 g = 5\28, 7\39, 9\50-11\61 6g-1-(2-11g) = 17g-3
12L 5s 7\17 < g < 5\12 g = 12\29, 17\41, 22\53-27\65 5g-2-(5-12g) = 17g-7
13L 4s 13\17 < g < 10\13 g = 23\30, 33\43, 43\56-53\69 4g-3-(10-13g) = 17g-13
14L 3s 6\17 < g < 5\14 g = 11\31, 16\45, 21\59-26\73 3g-1-(5-14g) = 17g-6
15L 2s 9\17 < g < 8\15 g = 17\32, 25\47, 33\62-41\77 2g-1-(8-15g) = 17g-9
16L 1s 1\17 < g < 1\16 g = 2\33, 3\49, 4\65-5\81 g-(1-16g) = 17g-1

18-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 17s 17\18 < g < 1 g = 18\19, 19\20, 20\21-21\22 17g-16-(1-g) = 18g-17
2L 16s 8\18 < g < 1\2 g = 9\20, 10\22, 11\24-12\26 8g-7\2-(1\2-g) = 9g-4
3L 15s 5\18 < g < 1\3 g = 6\21, 7\24, 8\27-9\30 5g-4\3-(1\3-g) = 6g-5\3
4L 14s 4\18 < g < 1\4 g = 5\22, 6\26, 7\30-8\34 7g-3\2-(1\2-2g) = 9g-2
5L 13s 7\18 < g < 2\5 g = 9\23, 11\28, 13\33-15\38 13g-5-(2-5g) = 18g-7
6L 12s 2\18 < g < 1\6 g = 3\24, 4\30, 5\36-6\42 2g-1\6-(1\6-g) = 3g-1\3
7L 11s 5\18 < g < 2\7 g = 7\25, 9\32, 11\39-13\46 11g-3-(2-7g) = 18g-5
8L 10s 2\18 < g < 1\8 g = 3\26, 4\34, 5\42-6\50 5g-1\2-(1\2-4g) = 9g-1
9L 9s = 1L 1s (9) 1\18 < g < 1\9 g = 2\27, 3\36, 4\45-5\54 g-(1\9-g) = 2g-1\9
10L 8s 7\18 < g < 4\10 g = 11\28, 15\38, 19\48-23\58 4g-3\2-(2-5g) = 9g-7\2
11L 7s 13\18 < g < 8\11 g = 21\29, 29\40, 37\51-45\62 7g-5-(8-11g) = 18g-13
12L 6s = 2L 1s (6) 1\18 < g < 1\12 g = 2\30, 3\42, 4\54-5\66 g-(1\6-2g) = 3g-1\6
13L 5s 11\18 < g < 8\13 g = 19\31, 27\44, 35\57-43\70 5g-3-(8-13g) = 18g-11
14L 4s 5\18 < g < 4\14 g = 9\32, 13\46, 17\60-21\74 2g-1\2-(2-7g) = 9g-5\2
15L 3s = 5L 1s (3) 1\18 < g < 1\15 g = 2\33, 3\48, 4\63-5\78 g-(1\3-5g) = 6g-1\3
16L 2s = 8L 1s (2) 1\18 < g < 1\16 g = 2\34, 3\50, 4\66-5\82 g-(1\2-8g) = 9g-1\2
17L 1s 1\18 < g < 1\17 g = 2\35, 3\52, 4\69-5\86 g-(1-17g) = 18g-1

19-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 18s 18\19 < g < 1 g = 19\20, 20\21, 21\22-22\23 18g-17-(1-g) = 19g-18
2L 17s 9\19 < g < 1\2 g = 10\21, 11\23, 12\25-13\27 17g-8-(1-2g) = 19g-9
3L 16s 6\19 < g < 1\3 g = 7\22, 8\25, 9\28-10\31 16g-5-(1-3g) = 19g-6
4L 15s 14\19 < g < 3\4 g = 17\23, 20\27, 23\31-27\35 15g-11-(3-4g) = 19g-14
5L 14s 15\19 < g < 4\5 g = 19\24, 23\29, 27\34-31\39 14g-11-(4-5g) = 19g-15
6L 13s 3\19 < g < 1\6 g = 4\25, 5\31, 6\37-7\43 13g-2-(1-6g) = 19g-3
7L 12s 8\19 < g < 3\7 g = 11\26, 14\33, 17\40-20\47 12g-5-(3-7g) = 19g-8
8L 11s 7\19 < g < 3\8 g = 10\27, 13\35, 16\43-19\51 11g-4-(3-8g) = 19g-7
9L 10s 2\19 < g < 1\9 g = 3\28, 4\37, 5\46-6\55 10g-1-(1-9g) = 19g-2
10L 9s 17\19 < g < 9\10 g = 26\29, 35\39, 44\49-53\59 9g-8-(9-10g) = 19g-17
11L 8s 12\19 < g < 7\11 g = 19\30, 26\41, 33\52-40\63 8g-5-(7-11g) = 19g-12
12L 7s 11\19 < g < 7\12 g = 18\31, 25\43, 32\55-39\67 7g-4-(7-12g) = 19g-11
13L 6s 16\19 < g < 11\13 g = 27\32, 38\45, 49\58-60\71 6g-5-(11-13g) = 19g-16
14L 5s 4\19 < g < 3\14 g = 7\33, 10\47, 13\61-16\75 5g-1-(3-14g) = 19g-4
15L 4s 5\19 < g < 4\15 g = 9\34, 13\49, 17\64-21\79 4g-1-(4-15g) = 19g-5
16L 3s 13\19 < g < 11\16 g = 24\35, 35\51, 46\67-57\83 3g-2-(11-16g) = 19g-13
17L 2s 10\19 < g < 9\17 g = 19\36, 28\53, 37\70-46\87 2g-1-(9-17g) = 19g-10
18L 1s 1\19 < g < 1\18 g = 2\37, 3\55, 4\73-5\91 g-(1-18g) = 19g-1

20-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 19s 19\20 < g < 1 g = 20\21, 21\22, 22\23-23\24 19g-18-(1-g) = 20g-19
2L 18s 9\20 < g < 1\2 g = 10\22, 11\24, 12\26-13\28 9g-4-(1\2-g) = 10g-9\2
3L 17s 13\20 < g < 2\3 g = 15\23, 17\26, 19\29-21\32 17g-11-(2-3g) = 20g-13
4L 16s 4\20 < g < 1\4 g = 5\24, 6\28, 7\32-8\36 4g-3\4-(1\4-g) = 5g-1
5L 15s 3\20 < g < 1\5 g = 4\25, 5\30, 6\35-7\40 3g-2\5-(1\5-g) = 4g-3\5
6L 14s 3\20 < g < 1\6 g = 4\26, 5\32, 6\38-7\44 7g-1-(1\2-3g) = 10g-3\2
7L 13s 17\20 < g < 6\7 g = 23\27, 29\34, 35\41-41\48 13g-11-(6-7g) = 20g-17
8L 12s 2\20 < g < 1\8 g = 3\28, 4\36, 5\44-6\52 3g-1\4-(1\4-2g) = 5g-1\2
9L 11s 11\20 < g < 5\9 g = 16\29, 21\38, 26\47-31\56 11g-6-(5-9g) = 20g-11
10L 10s = 1L 1s (10) 1\20 < g < 1\10 g = 2\30, 3\40, 4\50-5\60 g-(1\10-g) = 2g-1\10
11L 9s 9\20 < g < 5\11 g = 14\31, 19\42, 24\53-29\64 9g-4-(5-11g) = 20g-9
12L 8s 3\20 < g < 2\12 g = 5\32, 7\44, 9\56-11\68 2g-1\4-(1\2-3g) = 5g-3\4
13L 7s 3\20 < g < 2\13 g = 5\33, 7\46, 9\59-11\72 7g-1-(2-13g) = 20g-3
14L 6s 7\20 < g < 5\14 g = 12\34, 17\48, 22\62-27\76 3g-1-(5\2-7g) = 10g-7\2
15L 5s = 3L 1s (5) 1\20 < g < 1\15 g = 2\35, 3\50, 4\65-5\80 g-(1\5-3g) = 4g-1\5
16L 4s = 4L 1s (4) 1\20 < g < 1\16 g = 2\36, 3\52, 4\68-5\84 g-(1\4-4g) = 5g-1\4
17L 3s 7\20 < g < 6\17 g = 13\37, 19\54, 25\71-31\88 3g-1-(6-17g) = 5-14g
18L 2s = 9L 1s (2) 1\20 < g < 1\18 g = 2\38, 3\56, 4\74-5\92 g-(1\2-9g) = 10g-1\2
19L 1s 1\20 < g < 1\19 g = 2\39, 3\58, 4\77-5\96 g-(1-19g) = 20g-1

21-tone

Note: bolded generators from here below generate scales which are well temperaments

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 20s 20\21 < g < 1 g = 21\22, 22\23, 23\24-24\25 20g-19-(1-g) = 21g-20
2L 19s 10\21 < g < 1\2 g = 11\23, 12\25, 13\27-13\29 19g-9-(1-2g) = 21g-10
3L 18s 6\21 < g < 1\3 g = 7\24, 8\27, 9\30-10\33 6g-5\3-(1\3-g) = 7g-2
4L 17s 5\21 < g < 1\4 g = 6\25, 7\29, 8\33-9\37 17g-4-(1-4g) = 21g-5
5L 16s 4\21 < g < 1\5 g = 5\26, 6\31, 7\36-8\41 16g-3-(1-5g) = 21g-4
6L 15s 3\21 < g < 1\6 g = 4\27, 5\33, 6\39-7\45 5g-2\3-(1\3-2g) = 7g-1
7L 14s 2\21 < g < 1\7 g = 3\28, 4\35, 5\42-6\49 2g-1\7-(1\7-g) = 3g-2\7
8L 13s 13\21 < g < 5\8 g = 18\29, 23\37, 28\45-33\53 13g-8-(5-8g) = 21g-13
9L 12s 2\21 < g < 1\9 g = 3\30, 4\39, 5\48-6\57 4g-1\3-(1\3-3g) = 7g-2\3
10L 11s 2\21 < g < 1\10 g = 3\31, 4\41, 5\51-6\61 11g-1-(1-10g) = 21g-2
11L 10s 19\21 < g < 10\11 g = 29\32, 39\43, 49\54-59\65 10g-9-(10-11g) = 21g-19
12L 9s 5\21 < g < 3\12 g = 8\33, 11\45, 14\57-17\69 3g-2\3-(1-4g) = 7g-1\3
13L 8s 8\21 < g < 5\13 g = 13\34, 18\47, 23\60-28\73 8g-3-(5-13g) = 21g-8
14L 7s = 2L 1s (7) 1\21 < g < 1\14 g = 2\35, 3\49, 4\63-5\77 g-(1\7-2g) = 3g-1\7
15L 6s 4\21 < g < 3\15 g = 7\36, 10\51, 13\66-16\81 2g-1\3-(1-5g) = 7g-4\3
16L 5s 17\21 < g < 13\16 g = 30\37, 43\53, 56\69-69\85 5g-4-(13-16g) = 21g-17
17L 4s 16\21 < g < 13\17 g = 29\38, 42\55, 55\72-68\89 4g-3-(13-17g) = 21g-16
18L 3s = 6L 1s (3) 1\21 < g < 1\18 g = 2\39, 3\57, 4\75-5\93 g-(1\3-6g) = 7g-1\3
19L 2s 11\21 < g < 10\19 g = 21\40, 31\59, 41\78-51\97 2g-1-(10-19g) = 21g-11
20L 1s 1\21 < g < 1\20 g = 2\41, 3\61, 4\81-5\101 g-(1-20g) = 21g-1

22-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 21s 21\22 < g < 1 g = 22\23, 23\24, 24/25-25\26 21g-20-(1-g) = 22g-21
2L 20s 10\22 < g < 1\2 g = 11\24, 12\26, 13\28-14\30 10g-9\2-(1\2-g) = 11g-5
3L 19s 7\22 < g < 1\3 g = 8\25, 9\28, 10\31-11\34 19g-6-(1-3g) = 22g-7
4L 18s 5\22 < g < 1\4 g = 6\26, 7\30, 8\34-9\38 9g-2-(1\2-2g) = 11g-5\2
5L 17s 13\22 < g < 3\5 g = 16\27, 19\32, 22\37-25\42 17g-10-(3-5g) = 22g-13
6L 16s 7\22 < g < 2\6 g = 9\28, 11\34, 13\40-15\46 8g-5\2-(1-3g) = 11g-7\2
7L 15s 3\22 < g < 1\7 g = 4\29, 5\36, 6\43-7\50 15g-2-(1-7g) = 22g-3
8L 14s 8\22 < g < 3\8 g = 11\30, 14\38, 17\46-20\54 7g-5\2-(3\2-4g) = 11g-4
9L 13s 17\22 < g < 7\9 g = 24\31, 31\40, 38\49-45\58 13g-10-(7-9g) = 22g-17
10L 12s 2\22 < g < 1\10 g = 3\32, 4\42, 5\52-6\62 6g-1\2-(1\2-5g) = 11g-1
11L 11s = 1L 1s (11) 1\22 < g < 1\11 g = 2\33, 3\44, 4\55-5\66 g-(1\11-g) = 2g-1\11
12L 10s 9\22 < g < 5\12 g = 14\34, 19\46, 24\58-29\70 5g-2-(5\2-6g) = 11g-7\2
13L 9s 5\22 < g < 3\13 g = 8\35, 11\48, 14\61-17\74 9g-2-(3-13g) = 22g-5
14L 8s 3\22 < g < 2\14 g = 5\36, 7\50, 9\64-11\78 4g-1\2-(1-7g) = 11g-3\2
15L 7s 19\22 < g < 13\15 g = 32\37, 45\52, 58\67-71\82 7g-6-(13-15g) = 22g-13
16L 6s 4\22 < g < 3\16 g = 7\38, 10\54, 13\70-16\86 3g-1\2-(3\2-8g) = 11g-2
17L 5s 9\22 < g < 7\17 g = 16\39, 23\56, 30\73-37\90 5g-2-(7-17g) = 22g-9
18L 4s 6\22 < g < 5\18 g = 11\40, 16\58, 21\76-26\94 2g-1\2-(5\2-9g) = 11g-3
19L 3s 15\22 < g < 13\19 g = 28\41, 41\60, 54\79-67\98 3g-2-(13-19g) = 22g-15
20L 2s = 10L 1s (2) 1\22 < g < 1\20 g = 2\42, 3\62, 4\82-5\102 g-(1\2-10g) = 11g-1\2
21L 1s 1\22 < g < 1\21 g = 2\43, 3\64, 4\85-5\106 g-(1-21g) = 22g-1

23-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 22s 22\23 < g < 1 g = 23\24, 24\25, 25\26-26\27 22g-21-(1-g) = 23g-22
2L 21s 11\23 < g < 1\2 g = 12\25, 13\27, 14\29-15\31 21g-10-(1-2g) = 23g-11
3L 20s 15\23 < g < 2\3 g = 17\26, 19\29, 21\32-23\35 20g-13-(1-3g) = 23g-14
4L 19s 17\23 < g < 3\4 g = 20\27, 23\31, 26\35-29\39 19g-14-(3-4g) = 23g-17
5L 18s 9\23 < g < 2\5 g = 11\28, 13\33, 15\38-17\43 18g-7-(2-5g) = 13g-9
6L 17s 19\23 < g < 5\6 g = 24\29, 29\35, 34\41-39\47 17g-15-(1-6g) = 23g-16
7L 16s 13\23 < g < 4\7 g = 17\30, 21\37, 25\44-29\51 16g-9-(4-7g) = 23g-13
8L 15s 20\23 < g < 7\8 g = 27\31, 34\39, 41\47-48\55 15g-13-(7-8g) = 23g-20
9L 14s 5\23 < g < 2\9 g = 7\32, 9\41, 11\50-13\59 14g-3-(2-9g) = 23g-5
10L 13s 16\23 < g < 7\10 g = 23\33, 30\43, 37\53-44\63 13g-9-(7-10g) = 23g-16
11L 12s 2\23 < g < 1\11 g = 3\34, 4\45, 5\56-6\67 12g-1-(1-11g) = 23g-2
12L 11s 21\23 < g < 11\12 g = 32\35, 43\47, 54\59-65\71 11g-10-(11-12g) = 23g-21
13L 10s 7\23 < g < 4\13 g = 11\36, 15\49, 19\62-23\75 10g-3-(4-13g) = 23g-7
14L 9s 18\23 < g < 11\14 g = 29\37, 40\51, 51\65-62\79 9g-7-(11-14g) = 23g-18
15L 8s 3\23 < g < 2\15 g = 5\38, 7\53, 9\68-11\83 8g-1-(2-15g) = 23g-3
16L 7s 10\23 < g < 7\16 g = 17\39, 24\55, 31\71-38\87 7g-3-(7-16g) = 23g-10
17L 6s 4\23 < g < 3\17 g = 7\40, 10\57, 13\74-16\91 6g-1-(3-17g) = 23g-4
18L 5s 14\23 < g < 11\18 g = 25\41, 36\59, 47\77-58\95 5g-4-(11-18g) = 23g-15
19L 4s 6\23 < g < 5\19 g = 11\42, 16\61, 21\80-26\99 4g-1-(5-19g) = 23g-6
20L 3s 8\23 < g < 7\20 g = 15\43, 22\63, 29\83-36\103 3g-1-(13-20g) = 23g-14
21L 2s 12\23 < g < 11\21 g = 23\44, 34\65, 45\86-56\107 2g-1-(11-21g) = 23g-12
22L 1s 1\23 < g < 1\22 g = 2\45, 3\67, 4\89-5\111 g-(1-22g) = 23g-1

24-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 23s 23\24 < g < 1 g = 24\25, 25\26, 26\27-27\28 23g-22-(1-g) = 24g-23
2L 22s 11\24 < g < 1\2 g = 12\26, 13\28, 14\30-15\32 11g-5-(1/2-g) = 12g-11/2
3L 21s 7\24 < g < 1\3 g = 8\27, 9\30, 10\33-11\36 7g-2-(1/3-g) = 8g-7/3
4L 20s 5\24 < g < 1\4 g = 6\28, 7\32, 8\36-9\40 5g-1-(1/4-g) = 6g-5/4
5L 19s 19\24 < g < 4\5 g = 23\29, 27\34, 31\39-35\44 19g-15-(4-5g) = 24g-19
6L 18s 3\24 < g < 1\6 g = 4\30, 5\36, 6\42-7\48 3g-1\3-(1\6-g) = 4g-1\2
7L 17s 17\24 < g < 5\7 g = 22\31, 27\38, 32\45-37\52 17g-12-(5-7g) = 24g-17
8L 16s 2\24 < g < 1\8 g = 3\32, 4\40, 5\48-6\56 2g-1\8-(1\8-g) = 3g-1\4
9L 15s 5\24 < g < 2\9 g = 7\33, 9\42, 11\51-13\60 5g-1-(2\3-3g) = 8g-5\3
10L 14s 7\24 < g < 3\10 g = 10\34, 13\44, 16\54-19\64 7g-2-(3\2-5g) = 12g-7\2
11L 13s 13\24 < g < 6\11 g = 19\35, 25\46, 31\57-37\68 13g-7-(6-11g) = 24g-12
12L 12s = 1L 1s (12) 1\24 < g < 1\12 g = 2\36, 3\48, 4\60-5\72 g-(1\12-g) = 2g-1\12
13L 11s 11\24 < g < 6\13 g = 17\37, 23\50, 29\63-35\76 11g-5-(6-13g) = 24g-11
14L 10s 17\24 < g < 10\14 g = 27\38, 37\52, 47\66-57\80 5g-7\2-(5-7g) = 12g-17\2
15L 9s 3\24 < g < 2\15 g = 5\39, 7\54, 9\69-11\84 3g-1\3-(2\3-5g) = 8g-1
16L 8s = 2L 1s (8) 1\24 < g < 1\16 g = 2\40, 3\56, 4\72-5\88 g-(1\8-2g) = 3g-1\8
17L 7s 7\24 < g < 5\17 g = 12\41, 17\58, 22\75-27\92 7g-2-(5-17g) = 24g-7
18L 6s = 3L 1s (6) 1\24 < g < 1\18 g = 2\42, 3\60, 4\78-5\96 g-(1\6-3g) = 4g-1\6
19L 5s 5\24 < g < 4\19 g = 9\43, 13\62, 17\81-21\100 5g-1-(4-19g) = 24g-5
20L 4s = 5L 1s (4) 1\24 < g < 1\20 g = 2\44, 3\64, 4\84-5\104 g-(1\4-5g) = 6g-1\4
21L 3s = 7L 1s (3) 1\24 < g < 1\21 g = 2\45, 3\66, 4\87-5\108 g-(1\3-7g) = 8g-1\3
22L 2s = 11L 1s (2) 1\24 < g < 1\22 g = 2\46, 3\68, 4\90-5\112 g-(1\2-11g) = 12g-1\2
23L 1s 1\24 < g < 1\23 g = 2\47, 3\70, 4\93-5\116 g+1-23g = 24g-1

25-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 24s 24\25 < g < 1 g = 25\26, 26\27, 27\28-28\29 24g-23-(1-g) = 25g-24
2L 23s 12\25 < g < 1\2 g = 13\27, 14\29, 15\31-16\33 23g-11-(1-2g) = 25g-13
3L 22s 8\25 < g < 1\3 g = 9\28, 10\31, 11\34-12\37 22g-7-(1-3g) = 25g-8
4L 21s 6\25 < g < 1\4 g = 7\29, 8\33, 9\37-10\41 21g-5-(1-4g) = 25g-6
5L 20s 4\25 < g < 1\5 g = 5\30, 6\35, 7\40-8\45 4g-3\5-(1\5-g) = 5g-4\5
6L 19s 4\25 < g < 1\6 g = 5\31, 6\37, 7\43-8\49 19g-3-(1-6g) = 25g-4
7L 18s 7\25 < g < 2\7 g = 9\32, 11\39, 13\46-15\53 18g-5-(2-7g) = 25g-7
8L 17s 3\25 < g < 1\8 g = 4\33, 5\41, 6\49-7\57 17g-2-(1-8g) = 25g-3
9L 16s 11\25 < g < 4\9 g = 15\34, 19\43, 23\52-27\61 16g-7-(4-9g) = 25g-11
10L 15s 2\25 < g < 1\10 g = 3\35, 4\45, 5\55-6\65 3g-1\5-(1\5-2g) = 5g-2\5
11L 14s 9\25 < g < 4\11 g = 13\36, 17\47, 21\58-25\69 14g-5-(4-11g) = 25g-9
12L 13s 2\25 < g < 1\12 g = 3\37, 4\49, 5\61-6\73 13g-1-(1-12g) = 25g-2
13L 12s 23\25 < g < 12\13 g = 35\38, 47\51, 59\64-71\77 12g-11-(12-13g) = 25g-23
14L 11s 16\25 < g < 9\14 g = 25\39, 34\53, 43\67-52\81 11g-7-(9-14g) = 25g-16
15L 10s 3\25 < g < 2\15 g = 5\40, 7\55, 9\70-11\85 2g-1\5-(2\5-3g) = 5g-1\5
16L 9s 14\25 < g < 9\16 g = 23\41, 32\57, 41\73-50\89 9g-5-(9-16g) = 25g-14
17L 8s 22\25 < g < 15\17 g = 37\42, 52\59, 67\76-82\93 8g-7-(15-17g) = 25g-22
18L 7s 18\25 < g < 13\18 g = 31\43, 44\61, 57\79-80\97 7g-5-(13-18g) = 25g-18
19L 6s 21\25 < g < 16\19 g = 37\44, 53\63, 69\82-85\101 6g-5+16-19g = 25g-21
20L 5s = 4L 1s (5) 1\25 < g < 1\20 g = 2\45, 3\65, 4\85-5\105 g-(1\5-4g) = 5g-1\5
21L 4s 19\25 < g < 16\21 g = 35\46, 51\67, 67\88-83\109 4g-3-(16-21g) = 25g-19
22L 3s 17\25 < g < 15\22 g = 32\47, 47\69, 62\91-77\113 3g-2-(15-22g) = 25g-17
23L 2s 13\25 < g < 12\23 g = 25\48, 37\71, 49\94-61\117 2g-1-(11-23g) = 25g-13
24L 1s 1\25 < g < 1\24 g = 2\49, 3\73, 4\97-5\121 g-(1-24g) = 25g-1

26-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 25s 25\26 < g < 1 g = 26\27, 27\28, 28\29-29\30 25g-24-(1-g) = 25g-24
2L 24s 12\26 < g < 1\2 g = 13\28, 14\30, 15\32-16\34 12g-11\2-(1\2-g) = 13g-6
3L 23s 17\26 < g < 2\3 g = 19\29, 21\32, 23\35-25\38 23g-15-(2-3g) = 26g-17
4L 22s 6\26 < g < 1\4 g = 7\30, 8\34, 9\38-10\42 11g-5\2-(1\2-2g) = 13g-3
5L 21s 5\26 < g < 1\5 g = 6\31, 7\36, 8\41-9\46 21g-4-(1-5g) = 26g-5
6L 20s 4\26 < g < 1\6 g = 5\32, 6\38, 7\44-8\50 10g-3\2-(1\2-3g) = 13g-2
7L 19s 11\26 < g < 3\7 g = 14\33, 17\40, 20\47-23\54 19g-8-(3-7g) = 26g-11
8L 18s 3\26 < g < 1\8 g = 4\34, 5\42, 6\50-7\58 9g-1-(1\2-4g) = 13g-3\2
9L 17s 23\26 < g < 8\9 g = 31\35, 39\44, 47\53-55\62 17g-15-(8-9g) = 26g-23
10L 16s 5\26 < g < 2\10 g = 7\36, 9\46, 11\56-13\66 8g-3\2-(1-5g) = 13g-5\2
11L 15s 7\26 < g < 3\11 g = 10\37, 13\48, 16\59-19\70 15g-4-(3-11g) = 26g-7
12L 14s 2\26 < g < 1\12 g = 3\38, 4\50, 5\62-6\74 7g-1\2-(1\2-6g) = 13g-1
13L 13s = 1L 1s (13) 1\26 < g < 1\13 g = 2\39, 3\52, 4\65-5\78 g-(1\13-g) = 2g-1\13
14L 12s 11\26 < g < 6\14 g = 17\40, 23\54, 29\68-35\82 6g-5\2-(3-7g) = 13g-11\2
15L 11s 19\26 < g < 11\15 g = 30\41, 41\56, 52\71-63\86 11g-8-(11-15g) = 26g-19
16L 10s 8\26 < g < 5\16 g = 13\42, 18\58, 23\74-28\90 5g-3\2-(5\2-8g) = 13g-4
17L 9s 3\26 < g < 2\17 g = 5\43, 7\60, 9\77-11\94 9g-1-(2-17g) = 26g-3
18L 8s 10\26 < g < 7\18 g = 17\44, 24\62, 31\80-38\98 4g-3\2-(7\2-9g) = 13g-5
19L 7s 15\26 < g < 11\19 g = 26\45, 37\64, 48\83-59\102 7g-4-(11-19g) = 26g-15
20L 6s 9\26 < g < 7\20 g = 16\46, 23\66, 30\86-37\106 3g-1-(7\2-10g) = 13g-9\2
21L 5s 21\26 < g < 17\21 g = 38\47, 55\68, 72\89-89\110 5g-4-(17-21g) = 26g-21
22L 4s 7\26 < g < 6\22 g = 13\48, 19\70, 25\92-31\114 2g-1\2-(3-11g) = 13g-7\2
23L 3s 9\26 < g < 8\23 g = 17\49, 25\72, 33\95-41\118 3g-1-(8-23g) = 26g-9
24L 2s = 12L 1s (2) 1\26 < g < 1\24 g = 2\50, 3\74, 4\98-5\122 g-(1\2-12g) = 13g-1\2
25L 1s 1\26 < g < 1\25 g = 2\51, 3\76, 4\101-5\126 g-(1-25g) = 26g-1

27-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 26s 26\27 < g < 1 g = 27\28, 28\29, 29\30-30\31 26g-25-(1-g) = 27g-26
2L 25s 13\27 < g < 1\2 g = 14\29, 15\31, 16\33-17\35 25g-12-(1-2g) = 27g-12
3L 24s 8\27 < g < 1\3 g = 9\30, 10\33, 11\36-12\39 8g-7\3-(1\3-3g) = 9g-8\3
4L 23s 20\27 < g < 3\4 g = 23\31, 26\35, 29\39-32\43 23g-17-(3-4g) = 19g-14
5L 22s 16\27 < g < 3\5 g = 19\32, 22\37, 25\42-28\47 22g-13-(3-5g) = 27g-16
6L 21s 4\27 < g < 1\6 g = 5\33, 6\39, 7\45-8\51 7g-1-(1\3-2g) = 9g-4\3
7L 20s 23\27 < g < 6\7 g = 29\34, 35\41, 41\48-47\55 20g-17-(6-7g) = 27g-23
8L 19s 10\27 < g < 3\8 g = 13\35, 16\43, 19\51-22\59 19g-7-(3-8g) = 27g-10
9L 18s 2\27 < g < 1\9 g = 3\36, 4\45, 5\54-6\63 2g-1\9-(1\9-g) = 3g-1\9
10L 17s 8\27 < g < 3\10 g = 11\37, 14\47, 17\57–20\67 17g-5-(3-10g) = 27g-8
11L 16s 22\27 < g < 9\11 g = 31\38, 40\49, 49\60-58\71 16g-13-(9-11g) = 27g-22
12L 15s 2\27 < g < 1\12 g = 3\39, 4\51, 5\63-6\75 5g-1\3-(1\3-4g) = 9g-2\3
13L 14s 2\27 < g < 1\13 g = 3\40, 4\53, 5\66-6\79 14g-1-(1-13g) = 27g-2
14L 13s 25\27 < g < 13\14 g = 38\41, 51\55, 64\69-77\83 13g-12-(13-14g) = 27g-25
15L 12s 7\27 < g < 4\15 g = 11\42, 15\57, 19\72-23\87 4g-1-(4\3-5g) = 9g-4\3
16L 11s 5\27 < g < 3\16 g = 8\43, 11\59, 14\75-17\91 11g-2-(3-16g) = 27g-5
17L 10s 19\27 < g < 12\17 g = 31\44, 43\61, 55\78-67\95 10g-7-(12-17g) = 27g-19
18L 9s = 2L 1s (9) 1\27 < g < 1\18 g = 2\45, 3\63, 4\81-5\99 g-(1\9-2g) = 3g-1\9
19L 8s 17\27 < g < 12\19 g = 29\46, 41\65, 53\84-65\103 8g-5-(12-19g) = 27g-17
20L 7s 4\27 < g < 3\20 g = 7\47, 10\67, 13\87-16\107 7g-1-(3-20g) = 27g-4
21L 6s 5\27 < g < 4\21 g = 9\48, 13\69, 17\90-17\111 2g-1\3-(4\3-7g) = 9g-5\3
22L 5s 11\27 < g < 9\22 g = 20\49, 29\71, 38\93-47\115 5g-2-(9-22g) = 27g-11
23L 4s 7\27 < g < 6\23 g = 13\50, 19\73, 25\96-31\119 4g-1-(6-23g) = 27g-7
24L 3s = 8L 1s (3) 1\27 < g < 1\24 g = 2\51, 3\75, 4\99-5\123 g-(1\3-8g) = 9g-1\3
25L 2s 14\27 < g < 13\25 g = 27\52, 40\77, 53\102-66\127 2g-1-(13-25g) = 24g-14
26L 1s 1\27 < g < 1\26 g = 2\53, 3\79, 4\105-5\131 g-(1-26g) = 27g-1

28-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 27s 27\28 < g < 1 g = 28\29, 29\30, 30\31-30\32 27g-26-(1-g) = 28g-27
2L 26s 13\28 < g < 1\2 g = 14\30, 15\32, 16\34-17\36 13g-6-(1\2-g) = 14g-13\2
3L 25s 9\28 < g < 1\3 g = 10\31, 11\34, 12\37-13\40 25g-8-(1-3g) = 28g-9
4L 24s 6\28 < g < 1\4 g = 7\32, 8\36, 9\40-10\44 6g-5\4-(1\4-g) = 7g-3\2
5L 23s 11\28 < g < 2\5 g = 13\33, 15\38, 17\43-19\48 23g-9-(2-5g) = 28g-11
6L 22s 9\28 < g < 2\6 g = 11\34, 13\40, 15\46-17\52 11g-7\2-(1-3g) = 14g-9\2
7L 21s 3\28 < g < 1\7 g = 4\35, 5\42, 6\49-7\56 3g-2\7-(1\7-g) = 4g-3\7
8L 20s 3\28 < g < 1\8 g = 4\36, 5\44, 6\52-7\60 5g-1\2-(1\4-2g) = 7g-3\4
9L 19s 3\28 < g < 1\9 g = 4\37, 5\46, 6\55-7\64 19g-2-(1-9g) = 28g-3
10L 18s 11\28 < g < 4\10 g = 15\38, 19\48, 23\58-27\68 9g-7\2-(2-5g) = 14g-11\2
11L 17s 5\28 < g < 2\11 g = 7\39, 9\50, 11\61-13\72 17g-3-(2-11g) = 28g-5
12L 16s 2\28 < g < 1\12 g = 3\40, 4\52, 5\64-6\76 4g-1\4-(1\4-3g) = 7g-1\2
13L 15s 15\28 < g < 7\13 g = 22\41, 29\54, 36\67-43\80 15g-8-(7-13g) = 28g-15
14L 14s = 1L 1s (14) 1\28 < g < 1\14 g = 2\42, 3\56, 4\70-5\84 g-(1\14-g) = 2g-1\14
15L 13s 13\28 < g < 7\15 g = 20\43, 27\58, 34\73-41\88 13g-6-(7-15g) = 28g-13
16L 12s 5\28 < g < 3\16 g = 8\44, 11\60, 14\76-17\92 3g-1\2-(3\4-4g) = 7g-7\4
17L 11s 23\28 < g < 14\17 g = 37\45, 51\62, 65\79-79\96 11g-9-(14-17g) = 28g-23
18L 10s 3\28 < g < 2\18 g = 5\46, 7\64, 9\82-11\100 5g-1\2-(1-9g) = 14g-3\2
19L 9s 25\28 < g < 17\19 g = 42\47, 59\66, 76\85-93\104 9g-8-(17-19g) = 28g-25
20L 8s 4\28 < g < 3\20 g = 7\48, 10\68, 13\88-16\108 2g-1\4-(3\4-5g) = 7g-1
21L 7s = 3L 1s (7) 1\28 < g < 1\21 g = 2\49, 3\70, 4\91-5\112 g-(1\7-3g) = 4g-1\7
22L 6s 5\28 < g < 4\22 g = 9\50, 13\72, 17\94-21\116 3g-1\2-(2-11g) = 14g-5\2
23L 5s 17\28 < g < 14\23 g = 31\51, 45\74, 59\97-73\120 5g-3-(14-23g) = 28g-17
24L 4s = 6L 1s (4) 1\28 < g < 1\24 g = 2\52, 3\76, 4\100-5\124 g-(1\4-6g) = 7g-1\4
25L 3s 19\28 < g < 17\25 g = 36\53, 53\78, 70\103-87\128 3g-2-(17-25g) = 28g-19
26L 2s = 13L 1s (2) 15\28 < g < 14\26 g = 29\54, 43\80, 57\106-71\132 g-1\2-(7-13g) = 14g-15\2
27L 1s 1\28 < g < 1\27 g = 2\55, 3\82, 4\109-5\136 g-(1-27g) = 28g-1

29-tone

L-s pattern Generator range Boundaries of best, better, good behavior Large step-Small step
1L 28s 28\29 < g < 1 g = 29\30, 30\31, 31\32-32\33 28g-27-(1-g) = 29g-28
2L 27s 14\29 < g < 1\2 g = 15\31, 16\33, 17\35-18\37 27g-13-(1-2g) = 29g-15
3L 26s 19\29 < g < 2\3 g = 21\32, 23\35, 25\38-27\41 26g-17-(2-3g) = 29g-19
4L 25s 7\29 < g < 1\4 g = 8\33, 9\37, 10\41-11\45 25g-6-(1-4g) = 29g-7
5L 24s 23\29 < g < 4\5 g = 27\34, 31\39, 35\44-39\49 24g-19-(4-5g) = 29g-23
6L 23s 24\29 < g < 5\6 g = 29\35, 34\41, 39\47-44\53 23g-19-(5-6g) = 29g-24
7L 22s 4\29 < g < 1\7 g = 5\36, 6\43, 7\50-8\57 22g-3-(1-7g) = 29g-4
8L 21s 18\29 < g < 5\8 g = 23\37, 28\45, 33\53-38\61 21g-13-(5-8g) = 29g-18
9L 20s 16\29 < g < 5\9 g = 21\38, 26\47, 31\56-36\65 20g-11-(5-9g) = 29g-16
10L 19s 26\29 < g < 9\10 g = 35\39, 44\49, 53\59-62\69 19g-17-(9-10g) = 29g-26
11L 18s 21\29 < g < 8\11 g = 29\40, 37\51, 45\62-53\73 18g-13-(8-11g) = 29g-21
12L 17s 12\29 < g < 5\12 g = 17\41, 22\53, 27\65-32\77 17g-7-(5-12g) = 29g-12
13L 16s 20\29 < g < 9\13 g = 29\42, 38\55, 47\68-56\81 16g+11-(9-13g) = 29g-20
14L 15s 2\29 < g < 1\14 g = 3\43, 4\57, 5\71-6\85 15g-1-(1-14g) = 29g-2
15L 14s 27\29 < g < 14\15 g = 41\44, 55\59, 69\74-83\89 14g-13-(14-15g) = 29g-27
16L 13s 9\29 < g < 5\16 g = 14\45, 19\61, 24\77-29\93 13g-4-(5-16g) = 29g-9
17L 12s 17\29 < g < 10\17 g = 27\46, 37\63, 47\80-57\97 12g-5-(7-17g) = 29g-12
18L 11s 8\29 < g < 5\18 g = 13\47, 18\65, 23\83-28\101 11g-3-(5-18g) = 29g-8
19L 10s 3\29 < g < 2\19 g = 5\48, 7\67, 9\86-11\105 10g-1-(2-19g) = 29g-1
20L 9s 13\29 < g < 9\20 g = 22\49, 31\69, 40\89-49\109 9g-4-(9-20g) = 29g-13
21L 8s 11\29 < g < 8\21 g = 19\50, 27\71, 35\92-43\113 8g-3-(8-21g) = 29g-11
22L 7s 25\29 < g < 19\22 g = 44\51, 63\73, 82\95-101\117 7g-6-(9-22g) = 29g-15
23L 6s 5\29 < g < 4\23 g = 9\52, 13\75, 17\98-21\121 6g-1-(4-23g) = 29g-5
24L 5s 6\29 < g < 5\24 g = 11\53, 16\77, 21\101-26\125 5g-9-(5-24g) = 29g-14
25L 4s 22\29 < g < 19\25 g = 41\54, 60\79, 79\104-98\129 4g-3-(19-25g) = 29g-22
26L 3s 10\29 < g < 9\26 g = 19\55, 28\81, 37\107-46\133 3g-1-(9-26g) = 29g-10
27L 2s 15\29 < g < 14\27 g = 29\56, 43\83, 57\110-71\137 2g-1-(17-27g) = 29g-18
28L 1s 1\29 < g < 1\28 g = 2\57, 3\85, 4\113-5\141 g-(1-28g) = 29g-28
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