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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, 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.
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.
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, 4=  
=2, 3, 4=
**Note: These sets are given for the sake of completeness as they are not really scales**
'''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 ||
! | Large-small numbers
|| 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 ||
! | Midpoint
|| 4L1s || 1\5 &lt; g &lt; 1\4 || g = 9\40 || g = 2\9, 3\13, 4\17 || g || 1-4g ||
! | 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
|}


=6=
=5=
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L5s || 5\6 &lt; g &lt; 1 || g = 11\12 || g = 6\7, 7\8, 8\9 || 5g-4 || 1-g ||
|| 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 ||
|| 4L2s || 1\6 &lt; g &lt; 1\4 || g = 5\24 || g = 2\10, 3\14, 4\18 || g || 1\2-2g ||
|| 5L1s || 1\6 &lt; g &lt; 1\5 || g = 11\60 || g = 2\11, 3\16, 4\21 || g || 1-5g ||


=7=
{| class="wikitable"
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|-
|| 1L6s || 6\7 &lt; g &lt; 1 || g = 13\14 || g = 7\8, 8\9, 9\10 || 6g-5 || 1-g ||
! | Large-small numbers
|| 2L5s || 3\7 &lt; g &lt; 1\2 || g = 13\28 || g = 4\9, 5\11, 6\13 || 5g-2 || 1-2g ||
! | Generator range
|| 3L4s || 2\7 &lt; g &lt; 1\3 || g = 13\42 || g = 3\10, 4\13, 5\16 || 4g-1 || 1-3g ||
! | Midpoint
|| 4L3s || 5\7 &lt; g &lt; 3\4 || g = 41\56 || g = 8\11, 11\15, 14\19 || 3g-2 || 3-4g ||
! | Boundaries of propriety, maximum expressiveness, diatonicity
|| 5L2s || 4\7 &lt; g &lt; 3\5 || g = 41\70 || g = 7\12, 10\17, 13\22 || 2g-1 || 3-5g ||
! | Large step
|| 6L1s || 1\7 &lt; g &lt; 1\6 || g = 13\84 || g = 2\13, 3\19, 4\25 || g || 1-6g ||
! | Small step
|-
| | 1L4s
| | 4\5 &lt; g &lt; 1
| | g = 9\10
| | g = 5\6, 6\7, 7\8
| | 4g-3
| | 1-g
|-
| | 2L3s
| | 2\5 &lt; g &lt; 1\2
| | g = 9\20
| | g = 3\7, 4\9, 5\11
| | 3g-1
| | 1-2g
|-
| | 3L2s
| | 3\5 &lt; g &lt; 2\3
| | g = 19\30
| | g = 5\8, 7\11, 9\14
| | 2g-1
| | 2-3g
|-
| | 4L1s
| | 1\5 &lt; g &lt; 1\4
| | g = 9\40
| | g = 2\9, 3\13, 4\17
| | g
| | 1-4g
|}


=8=
=6=
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 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 ||
|| 3L5s || 5\8 &lt; g &lt; 2\3 || g = 31\48 || g = 7\11, 9\14, 11\17 || 5g-3 || 2-3g ||
|| 4L4s || 1\8 &lt; g &lt; 1\4 || g = 3\16 || g = 2\12, 3\16, 4\20 || g || 1\4-g ||
|| 5L3s || 3\8 &lt; g &lt; 2\5 || g = 31\80 || g = 5\13, 7\18, 9\23 || 3g-1 || 2-5g ||
|| 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 ||


=9=
{| class="wikitable"
**Note: italicized generators from here below generate scales which are weakly tonal**
|-
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
! | Large-small numbers
|| 1L8s || 8\9 &lt; g &lt; 1 || g = 17\18 || g = //9\10//, 10\11, 11\12 || 8g-7 || 1-g ||
! | Generator range
|| 2L7s || 4\9 &lt; g &lt; 1\2 || g = 17\36 || g = 5\11, 6\13, 7\15 || 7g-3 || 1-2g ||
! | Midpoint
|| 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 propriety, maximum expressiveness, diatonicity
||&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
|| 5L4s || 7\9 &lt; g &lt; 4\5 || g = 71\90 || g = 11\14, 15\19, 18\23 || 4g-3 || 4-5g ||
! | Small step
|| 6L3s || 1\9 &lt; g &lt; 1\6 || g = 5\36 || g = 2\15, 3\21, 4\27 || g || 1\3-2g ||
|-
|| 7L2s || 5\9 &lt; g &lt; 4\7 || g = 71\126 || g = 9\16, 10\23, 17\30 || 2g-1 || 4-7g ||
| | 1L5s
|| 8L1s || 1\9 &lt; g &lt; 1\8 || g = 17\144 || g = 2\17, 3\25, 4\33 || g || 1-8g ||
| | 5\6 &lt; g &lt; 1
| | g = 11\12
| | g = 6\7, 7\8, 8\9
| | 5g-4
| | 1-g
|-
| | 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
|-
| | 4L2s
| | 1\6 &lt; g &lt; 1\4
| | g = 5\24
| | g = 2\10, 3\14, 4\18
| | g
| | 1\2-2g
|-
| | 5L1s
| | 1\6 &lt; g &lt; 1\5
| | g = 11\60
| | g = 2\11, 3\16, 4\21
| | g
| | 1-5g
|}


=10=
=7=
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 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 ||
|| 3L7s || 3\10 &lt; g &lt; 1\3 || g = 19\60 || g = 4\13, 5\16, 6\19 || 7g-2 || 1-3g ||
|| 4L6s || 2\10 &lt; g &lt; 1\4 || g = 9\40 || g = 3\14, 4\18, 5\22 || 3g-1\2 || 1\2-2g ||
|| 5L5s || 1\10 &lt; g &lt; 1\5 || g = 3\20 || g = 2\15, 3\20, 4\25 || g || 1\5-g ||
|| 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 ||
|| 8L2s || 1\10 &lt; g &lt; 1\8 || g = 9\80 || g = 2\18, 3\26, 4\34 || g || 1\2-4g ||
|| 9L1s || 1\10 &lt; g &lt; 1\9 || g = 19\180 || g = 2\19, 3\28, 4\37 || g || 1-9g ||


=11=
{| class="wikitable"
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|-
|| 1L10s || 10\11 &lt; g &lt; 1 || g = 21\22 || g = //11\12//, 12\13, 13\14 || 10g-9 || 1-g ||
! | Large-small numbers
|| 2L9s || 5\11 &lt; g &lt; 1\2 || g = 21\44 || g = 6\13, 7\15, 8\17 || 9g-4 || 1-2g ||
! | Generator range
|| 3L8s || 7\11 &lt; g &lt; 2\3 || g = 43\66 || g = 9\14, 11\17, 13\20 || 8g-5 || 2-3g ||
! | Midpoint
|| 4L7s || 8\11 &lt; g &lt; 3\4 || g = 65\88 || g = 11\15, 14\19, 17\23 || 7g-5 || 3-4g ||
! | Boundaries of propriety, maximum expressiveness, diatonicity
|| 5L6s || 2\11 &lt; g &lt; 1\5 || g = 21\110 || g = 3\16, 4\21, 5\26 || 6g-1 || 1-5g ||
! | Large step
|| 6L5s || 9\11 &lt; g &lt; 5\6 || g = 109\132 || g = 14\17, 19\23, 24\29 || 5g-4 || 5-6g ||
! | Small step
|| 7L4s || 3\11 &lt; g &lt; 2\7 || g = 43\154 || g = 5\18, 7\25, 9\32 || 4g-1 || 2-7g ||
|-
|| 8L3s || 4\11 &lt; g &lt; 3\8 || g = 65\176 || g = 7\19, 10\27, 13\35 || 3g-1 || 3-8g ||
| | 1L6s
|| 9L2s || 6\11 &lt; g &lt; 5\9 || g = 109\198 || g = 11\20, 16\29, 21\38 || 2g-1 || 5-9g ||
| | 6\7 &lt; g &lt; 1
|| 10L1s || 1\11 &lt; g &lt; 1\10 || g = 21\220 || g = 2\21, 3\31, 4\41 || g || 1-10g ||
| | 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
|-
| | 3L4s
| | 2\7 &lt; g &lt; 1\3
| | g = 13\42
| | g = 3\10, 4\13, 5\16
| | 4g-1
| | 1-3g
|-
| | 4L3s
| | 5\7 &lt; g &lt; 3\4
| | g = 41\56
| | g = 8\11, 11\15, 14\19
| | 3g-2
| | 3-4g
|-
| | 5L2s
| | 4\7 &lt; g &lt; 3\5
| | g = 41\70
| | g = 7\12, 10\17, 13\22
| | 2g-1
| | 3-5g
|-
| | 6L1s
| | 1\7 &lt; g &lt; 1\6
| | g = 13\84
| | g = 2\13, 3\19, 4\25
| | g
| | 1-6g
|}


=12=
=8=
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 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 ||
|| 3L9s || 3\12 &lt; g &lt; 1\3 || g = 7\24 || g = 4\15, 5\18, 6\21 || 3g-2\3 || 1\3-g ||
|| 4L8s || 2\12 &lt; g &lt; 1\4 || g = 5\24 || g = 3\16, 4\20, 5\24 || 2g-1\4 || 1\4-g ||
|| 5L7s || 7\12 &lt; g &lt; 3\5 || g = 71\120 || g = 10\17, 13\22, 16\27 || 7g-4 || 3-5g ||
|| 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 ||
|| 8L4s || 1\12 &lt; g &lt; 1\8 || g = 5\48 || g = 2\20, 3\28, 4\36 || g || 1\4-2g ||
|| 9L3s || 1\12 &lt; g &lt; 1\9 || g = 7\72 || g = 2\21, 3\30, 4\39 || g || 1\3-3g ||
|| 10L2s || 1\12 &lt; g &lt; 1\10 || g = 11\120 || g = 2\22, 3\32, 4\42 || g || 1\2-5g ||
|| 11L1s || 1\12 &lt; g &lt; 1\11 || g = 23\264 || g = 2\23, 3\34, 4\45 || g || 1-11g ||


=13=
{| class="wikitable"
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|-
|| 1L12s || 12\13 &lt; g &lt; 1 || g = 25\26 || g = //13\14,// //14\15//, 15\16 || 12g-11 || 1-g ||
! | Large-small numbers
|| 2L11s || 6\13 &lt; g &lt; 1\2 || g = 25\52 || g = //7\15//, 8\17, 9\19 || 11g-5 || 1-2g ||
! | Generator range
|| 3L10s || 4\13 &lt; g &lt; 1\3 || g = 25\78 || g = 5\16, 6\19, 7/22 || 10g-3 || 1-3g ||
! | Midpoint
|| 4L9s || 3\13 &lt; g &lt; 1\4 || g = 25\104 || g = 4\17, 5\21, 6\25 || 9g-2 || 1-4g ||
! | Boundaries of propriety, maximum expressiveness, diatonicity
|| 5L8s || 5\13 &lt; g &lt; 2\5 || g = 51\130 || g = 7\18, 9\23, 11\28 || 8g-3 || 2-5g ||
! | Large step
|| 6L7s || 2\13 &lt; g &lt; 1\6 || g = 25\156 || g = 3\19, 4\25, 5\31 || 7g-1 || 1-6g ||
! | Small step
|| 7L6s || 11\13 &lt; g &lt; 6\7 || g = 155\182 || g = 17\20, 23\27, 29\34 || 6g-5 || 6-7g ||
|-
|| 8L5s || 8\13 &lt; g &lt; 5\8 || g = 129\208 || g = 13\21, 18\29, 23\37 || 5g-3 || 5-8g ||
| | 1L7s
|| 9L4s || 10\13 &lt; g &lt; 7\9 || g = 181\234 || g = 17\22, 24\31, 31\40 || 4g-3 || 7-9g ||
| | 7\8 &lt; g &lt; 1
|| 10L3s || 9\13 &lt; g &lt; 7\10 || g = 181\260 || g = 16\23, 23\33, 30\43 || 3g-2 || 7-10g ||
| | g = 15\16
|| 11L2s || 7\13 &lt; g &lt; 6\11 || g = 155\286 || g = 13\24, 19\35, 25\46 || 2g-1 || 6-11g ||
| | g = 8\9, 9\10, 10\11
|| 12L1s || 1\13 &lt; g &lt; 1\12 || g = 25\312 || g = 2\25, 3\37, 4\49 || g || 1-12g ||
| | 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
|-
| | 3L5s
| | 5\8 &lt; g &lt; 2\3
| | g = 31\48
| | g = 7\11, 9\14, 11\17
| | 5g-3
| | 2-3g
|-
| | 4L4s
| | 1\8 &lt; g &lt; 1\4
| | g = 3\16
| | g = 2\12, 3\16, 4\20
| | g
| | 1\4-g
|-
| | 5L3s
| | 3\8 &lt; g &lt; 2\5
| | g = 31\80
| | g = 5\13, 7\18, 9\23
| | 3g-1
| | 2-5g
|-
| | 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
|}


=14=
=9=
||~ 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'''
|| 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 ||
|| 3L11s || 9\14 &lt; g &lt; 2\3 || g = 55\84 || g = 11\17, 13\20, 15\23 || 11g-7 || 2-3g ||
|| 4L10s || 3\14 &lt; g &lt; 1\4 || g = 13\56 || g = 4\18, 5\22, 6\26 || 5g-1 || 1\2-2g ||
|| 5L9s || 11\14 &lt; g &lt; 4\5 || g = 111\140 || g = 15\19, 19\24, 23\29 || 9g-7 || 4-5g ||
|| 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 ||
|| 8L6s || 5\14 &lt; g &lt; 3\8 || g = 41\112 || g = 8\22, 11\30, 14\38 || 3g-1 || 3\2-4g ||
|| 9L5s || 3\14 &lt; g &lt; 2\9 || g = 55\252 || g = 5\23, 7\32, 9\41 || 5g-1 || 2-9g ||
|| 10L4s || 4\14 &lt; g &lt; 3\10 || g = 41\140 || g = 7\24, 10\34, 13\44 || 2g-1\2 || 3\2-5g ||
|| 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 ||
|| 13L1s || 1\14 &lt; g &lt; 1\13 || g = 27\364 || g = 2\27, 3\40, 4\53 || g || 1-13g ||


=15=
{| class="wikitable"
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|-
|| 1L14s || 14\15 &lt; g &lt; 1 || g = 29\30 || g = //15\16,// //16\17//, 17\18 || 14g-13 || 1-g ||
! | Large-small numbers
|| 2L13s || 7\15 &lt; g &lt; 1\2 || g = 29\60 || g = //8\17//, 9\19, 10\21 || 13g-6 || 1-2g ||
! | Generator range
|| 3L12s || 4\15 &lt; g &lt; 1\3 || g = 9\30 || g = 5\18, 6\21, 7\24 || 4g-1 || 1\3-g ||
! | Midpoint
|| 4L11s || 11\15 &lt; g &lt; 3\4 || g = 89\120 || g = 14\19, 17\23, 20\27 || 11g-8 || 3-4g ||
! | Boundaries of propriety, maximum expressiveness, diatonicity
|| 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
|| 6L9s || 2\15 &lt; g &lt; 1\6 || g = 9\60 || g = 3\21, 4\27, 5\33 || 3g-1\3 || 1\3-2g ||
! | Small step
|| 7L8s || 2\15 &lt; g &lt; 1\7 || g = 29\210 || g = 3\22, 4\29, 5\36 || 8g-1 || 1-7g ||
|-
|| 8L7s || 13\15 &lt; g &lt; 7\8 || g = 209\240 || g = 20\23, 27\31, 34\39 || 7g-6 || 7-8g ||
| | 1L8s
|| 9L6s || 3\15 &lt; g &lt; 2\9 || g = 19\90 || g = 5\24, 7\33, 9\42 || 2g-1\3 || 2\3-3g ||
| | 8\9 &lt; g &lt; 1
|| 10L5s || 1\15 &lt; g &lt; 1\10 || g = 5\60 || g = 2\25, 3\35, 4\45 || g || 1\5-2g ||
| | g = 17\18
|| 11L4s || 4\15 &lt; g &lt; 3\11 || g = 89\330 || g = 7\26, 10\37, 13\48 || 4g-1 || 3-11g ||
| | g = ''9\10'', 10\11, 11\12
|| 12L3s || 1\15 &lt; g &lt; 1\12 || g = 9\120 || g = 2\27, 3\39, 4\51 || g || 1\3-4g ||
| | 8g-7
|| 13L2s || 8\15 &lt; g &lt; 7\13 || g = 209\390 || g = 15\28, 22\41, 29\54 || 2g-1 || 7-13g ||
| | 1-g
|| 14L1s || 1\15 &lt; g &lt; 1\14 || g = 29\420 || g = 2\29, 3\43, 4\57 || g || 1-14g ||
|-
| | 2L7s
| | 4\9 &lt; g &lt; 1\2
| | g = 17\36
| | g = 5\11, 6\13, 7\15
| | 7g-3
| | 1-2g
|-
| | 3L6s
| | 2\9 &lt; g &lt; 1\3
| | g = 5\18
| | g = 3\12, 4\15, 5\18
| | 2g-1\3
| | 1\3-g
|-
| | 4L5s
| | 2\9 &lt; g &lt; 1\4
| | g = 17\72
| | g = 3\13, 4\17, 5\21
| | 5g-1
| | 1-4g
|-
| | 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
|-
| | 7L2s
| | 5\9 &lt; g &lt; 4\7
| | g = 71\126
| | g = 9\16, 10\23, 17\30
| | 2g-1
| | 4-7g
|-
| | 8L1s
| | 1\9 &lt; g &lt; 1\8
| | g = 17\144
| | g = 2\17, 3\25, 4\33
| | g
| | 1-8g
|}


=16=
=10=
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 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 ||
|| 3L13s || 5\16 &lt; g &lt; 1\3 || g = 31\96 || g = 6\19, 7\22, 8\25 || 13g-4 || 1-3g ||
|| 4L12s || 3\16 &lt; g &lt; 1\4 || g = 7\32 || g = 4\20, 5\24, 6\28 || 3g-1\2 || 1\4-g ||
|| 5L11s || 3\16 &lt; g &lt; 1\5 || g = 31\160 || g = 4\21, 5\26, 6\31 || 11g-2 || 1-5g ||
|| 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 ||
|| 8L8s || 1\16 &lt; g &lt; 1\8 || g = 3\32 || g = 2\24, 3\32, 4\40 || g || 1\8-g ||
|| 9L7s || 7\16 &lt; g &lt; 4\9 || g = 127\286 || g = 11\25, 15\34, 19\43 || 7g-3 || 4-9g ||
|| 10L6s || 3\16 &lt; g &lt; 2\10 || g = 31\160 || g = 5\26, 7\36, 8\46 || 3g-1\2 || 1-5g ||
|| 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 ||
|| 13L3s || 11\16 &lt; g &lt; 9\13 || g = 287\416 || g = 20\29, 29\42, 38\55 || 3g-2 || 9-13g ||
|| 14L2s || 1\16 &lt; g &lt; 1\14 || g = 15\224 || g = 2\30, 3\44, 4\58 || g || 1\2-7g ||
|| 15L1s || 1\16 &lt; g &lt; 1\15 || g = 31\480 || g = 2\31, 3\46, 4\61 || g || 1-15g ||


=17=
{| class="wikitable"
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|-
|| 1L16s || 16\17 &lt; g &lt; 1 || g = 33\34 || g = //17\18,// //18\19//, 19\20 || 16g-15 || 1-g ||
! | Large-small numbers
|| 2L15s || 8\17 &lt; g &lt; 1\2 || g = 33\68 || g = //9\19//, 10\21, 11\23 || 15g-7 || 1-2g ||
! | Generator range
|| 3L14s || 11\17 &lt; g &lt; 2\3 || g = 67\102 || g = 13\20, 15\23, 17\26 || 14g-9 || 2-3g ||
! | Midpoint
|| 4L13s || 4\17 &lt; g &lt; 1\4 || g = 33\136 || g = 5\21, 6\25, 7\29 || 13g-3 || 1-4g ||
! | Boundaries of propriety, maximum expressiveness, diatonicity
|| 5L12s || 10\17 &lt; g &lt; 3\5 || g = 101\170 || g = 13\22, 16\27, 19\32 || 12g-7 || 3-5g ||
! | Large step
|| 6L11s || 14\17 &lt; g &lt; 5\6 || g = 169\204 || g = 19\23, 24\29, 29\35 || 11g-9 || 5-6g ||
! | Small step
|| 7L10s || 12\17 &lt; g &lt; 5\7 || g = 169\238 || g = 17\24, 22\31, 27\38 || 10g-7 || 5-7g ||
|-
|| 8L9s || 2\17 &lt; g &lt; 1\8 || g = 33\272 || g = 3\25, 4\33, 5\41 || 9g-1 || 1-8g ||
| | 1L9s
|| 9L8s || 15\17 &lt; g &lt; 8\9 || g = 271\306 || g = 23\26, 31\35, 39\44 || 8g-7 || 8-9g ||
| | 9\10 &lt; g &lt; 1
|| 10L7s || 5\17 &lt; g &lt; 3\10 || g = 101\340 || g = 8\27, 11\37, 14\47 || 7g-2 || 3-10g ||
| | g = 19\20
|| 11L6s || 3\17 &lt; g &lt; 2\11 || g = 67\374 || g = 5\28, 7\39, 9\50 || 6g-1 || 2-11g ||
| | g = ''10\11'', 11\12, 12\13
|| 12L5s || 7\17 &lt; g &lt; 5\12 || g = 169\408 || g = 12\29, 17\41, 22\53 || 5g-2 || 5-12g ||
| | 9g-8
|| 13L4s || 13\17 &lt; g &lt; 10\13 || g = 339\442 || g = 23\30, 33\43, 43\56 || 4g-3 || 10-13g ||
| | 1-g
|| 14L3s || 6\17 &lt; g &lt; 5\14 || g = 169\476 || g = 11\31, 16\45, 21\59 || 3g-1 || 5-14g ||
|-
|| 15L2s || 9\17 &lt; g &lt; 8\15 || g = 271\510 || g = 17\32, 25\47, 33\62 || 2g-1 || 8-15g ||
| | 2L8s
|| 16L1s || 1\17 &lt; g &lt; 1\16 || g = 33\544 || g = 2\33, 3\49, 4\65 || g || 1-16g ||
| | 4\10 &lt; g &lt; 1\2
| | g = 9\20
| | g = 5\12, 6\14, 7\16
| | 4g-3\2
| | 1\2-g
|-
| | 3L7s
| | 3\10 &lt; g &lt; 1\3
| | g = 19\60
| | g = 4\13, 5\16, 6\19
| | 7g-2
| | 1-3g
|-
| | 4L6s
| | 2\10 &lt; g &lt; 1\4
| | g = 9\40
| | g = 3\14, 4\18, 5\22
| | 3g-1\2
| | 1\2-2g
|-
| | 5L5s
| | 1\10 &lt; g &lt; 1\5
| | g = 3\20
| | g = 2\15, 3\20, 4\25
| | g
| | 1\5-g
|-
| | 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
|-
| | 8L2s
| | 1\10 &lt; g &lt; 1\8
| | g = 9\80
| | g = 2\18, 3\26, 4\34
| | g
| | 1\2-4g
|-
| | 9L1s
| | 1\10 &lt; g &lt; 1\9
| | g = 19\180
| | g = 2\19, 3\28, 4\37
| | g
| | 1-9g
|}


=18=
=11=
||~ 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 ||
|| 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 ||
|| 3L15s || 5\18 &lt; g &lt; 1\3 || g = 11\36 || g = //6\21//, 7\24, 8\27 || 5g-4\3 || 1\3-g ||
|| 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 ||
|| 5L13s || 7\18 &lt; g &lt; 2\5 || g = 71\180 || g = 9\23, 11\28, 13\33 || 13g-5 || 2-5g ||
|| 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 ||
|| 8L10s || 2\18 &lt; g &lt; 1\8 || g = 17\144 || g = 3\26, 4\34, 5\42 || 5g-1\2 || 1\2-4g ||
|| 9L9s || 1\18 &lt; g &lt; 1\9 || g = 3\36 || g = 2\27, 3\36, 4\45 || g || 1\9-g ||
|| 10L8s || 7\18 &lt; g &lt; 4\10 || g = 71\180 || g = 11\28, 15\38, 19\48 || 4g-3\2 || 2-5g ||
|| 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 ||
|| 13L5s || 11\18 &lt; g &lt; 8\13 || g = 287\468 || g = 19\31, 27\44, 35\57 || 5g-3 || 8-13g ||
|| 14L4s || 5\18 &lt; g &lt; 4\14 || g = 71\252 || g = 9\32, 13\46, 17\60 || 2g-1\2 || 2-7g ||
|| 15L3s || 1\18 &lt; g &lt; 1\15 || g = 11\180 || g = 2\33, 3\48, 4\63 || g || 1\3-5g ||
|| 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 ||


=19=
{| class="wikitable"
||~ 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 ||
|-
|| 1L18s || 18\19 &lt; g &lt; 1 || g = 37\38 || g = //19\20, 20\21, 21\22// || 18g-17 || 1-g ||
! | Large-small numbers
|| 2L17s || 9\19 &lt; g &lt; 1\2 || g = 37\76 || g = //10\21//, 11\23, 12\25 || 17g-8 || 1-2g ||
! | Generator range
|| 3L16s || 6\19 &lt; g &lt; 1\3 || g = 37\114 || g = //7\22//, 8\25, 10\31 || 16g-5 || 1-3g ||
! | Midpoint
|| 4L15s || 14\19 &lt; g &lt; 3\4 || g = 113\152 || g = 17\23, 20\27, 23\31 || 15g-11 || 3-4g ||
! | Boundaries of propriety, maximum expressiveness, diatonicity
|| 5L14s || 15\19 &lt; g &lt; 4\5 || g = 151\190 || g = 19\24, 23\29, 27\34 || 14g-11 || 4-5g ||
! | Large step
|| 6L13s || 3\19 &lt; g &lt; 1\6 || g = 37\228 || g = 4\25, 5\31, 6/37 || 13g-2 || 1-6g ||
! | Small step
|| 7L12s || 8\19 &lt; g &lt; 3\7 || g = 113\266 || g = 11\26, 14\33, 17\40 || 12g-5 || 3-7g ||
|-
|| 8L11s || 7\19 &lt; g &lt; 3\8 || g = 113\304 || g = 10\27, 13\35, 16\43 || 11g-4 || 3-8g ||
| | 1L10s
|| 9L10s || 2\19 &lt; g &lt; 1\9 || g = 37\342 || g = 3\28, 4\37, 5\46 || 10g-1 || 1-9g ||
| | 10\11 &lt; g &lt; 1
|| 10L9s || 17\19 &lt; g &lt; 9\10 || g = 341\380 || g = 26\29, 35\39, 44\49 || 9g-8 || 9-10g ||
| | g = 21\22
|| 11L8s || 12\19 &lt; g &lt; 7\11 || g = 265\418 || g = 19\30, 26\41, 33\52 || 8g-5 || 7-11g ||
| | g = ''11\12'', 12\13, 13\14
|| 12L7s || 11\19 &lt; g &lt; 7\12 || g = 265\456 || g = 18\31, 25\43, 32\55 || 7g-4 || 7-12g ||
| | 10g-9
|| 13L6s || 16\19 &lt; g &lt; 11\13 || g = 417\494 || g = 27\32, 38\45, 49\58 || 6g-5 || 11-13g ||
| | 1-g
|| 14L5s || 4\19 &lt; g &lt; 3\14 || g = 113\532 || g = 7\33, 10\47, 13\61 || 5g-1 || 3-14g ||
|-
|| 15L4s || 5\19 &lt; g &lt; 4\15 || g = 151\570 || g = 9\34, 13\49, 17\64 || 4g-1 || 4-15g ||
| | 2L9s
|| 16L3s || 13\19 &lt; g &lt; 11\16 || g = 417\608 || g = 24\35, 35\51, 46\67 || 3g-2 || 11-16g ||
| | 5\11 &lt; g &lt; 1\2
|| 17L2s || 10\19 &lt; g &lt; 9\17 || g = 341\646 || g = 19\36, 28\53, 37\70 || 2g-1 || 9-17g ||
| | g = 21\44
|| 18L1s || 1\19 &lt; g &lt; 1\18 || g = 37\684 || g = 2\37, 3\55, 4\73 || g || 1-18g ||
| | g = 6\13, 7\15, 8\17
| | 9g-4
| | 1-2g
|-
| | 3L8s
| | 7\11 &lt; g &lt; 2\3
| | g = 43\66
| | g = 9\14, 11\17, 13\20
| | 8g-5
| | 2-3g
|-
| | 4L7s
| | 8\11 &lt; g &lt; 3\4
| | g = 65\88
| | g = 11\15, 14\19, 17\23
| | 7g-5
| | 3-4g
|-
| | 5L6s
| | 2\11 &lt; g &lt; 1\5
| | g = 21\110
| | g = 3\16, 4\21, 5\26
| | 6g-1
| | 1-5g
|-
| | 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
|-
| | 8L3s
| | 4\11 &lt; g &lt; 3\8
| | g = 65\176
| | g = 7\19, 10\27, 13\35
| | 3g-1
| | 3-8g
|-
| | 9L2s
| | 6\11 &lt; g &lt; 5\9
| | g = 109\198
| | g = 11\20, 16\29, 21\38
| | 2g-1
| | 5-9g
|-
| | 10L1s
| | 1\11 &lt; g &lt; 1\10
| | g = 21\220
| | g = 2\21, 3\31, 4\41
| | g
| | 1-10g
|}


=20=
=12=
||~ 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 ||
|| 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 ||
|| 3L17s || 13\20 &lt; g &lt; 2\3 || g = 79\120 || g = //15\23//, 17\26, 20\29 || 17g-11 || 2-3g ||
|| 4L16s || 4\20 &lt; g &lt; 1\4 || g = 9\40 || g = 5\24, 6\28, 7\32 || 4g-3\4 || 1\4-g ||
|| 5L15s || 3\20 &lt; g &lt; 1\5 || g = 7\40 || g = 4\25, 5\30, 6\35 || 3g-2\5 || 1\5-g ||
|| 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 ||
|| 8L12s || 2\20 &lt; g &lt; 1\8 || g = 9\80 || g = 3\28, 4\36, 5\44 || 3g-1\4 || 1\4-2g ||
|| 9L11s || 11\20 &lt; g &lt; 5\9 || g = 199\360 || g = 16\29, 21\38, 26\47 || 11g-6 || 5-9g ||
|| 10L10s || 1\20 &lt; g &lt; 1\10 || g = 3\40 || g = 2\30, 3\40, 4\50 || g || 1\10-g ||
|| 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 ||
|| 13L7s || 3\20 &lt; g &lt; 2\13 || g = 79\520 || g = 5\33, 7\46, 9\59 || 7g-1 || 2-13g ||
|| 14L6s || 7\20 &lt; g &lt; 5\14 || g = 99\280 || g = 12\34, 17\48, 22\62 || 3g-1 || 5\2-7g ||
|| 15L5s || 1\20 &lt; g &lt; 1\15 || g = 7\120 || g = 2\35, 3\50, 4\65 || g || 1\5-3g ||
|| 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 ||
|| 18L2s || 1\20 &lt; g &lt; 1\18 || g = 19\360 || g = 2\38, 3\56, 4\74 || g || 1\2-9g ||
|| 19L1s || 1\20 &lt; g &lt; 1\19 || g = 39\760 || g = 2\39, 3\58, 4\77 || g || -19g+1 ||


=21=
{| class="wikitable"
||~ 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 ||
|-
|| 1L20s || 20\21 &lt; g &lt; 1 || g = 41\42 || g = //21\22, 22\23, 23\24// || 20g-19 || 1-g ||
! | Large-small numbers
|| 2L19s || 10\21 &lt; g &lt; 1\2 || g = 41\84 || g = //11\23, 12\25//, 13\27 || 19g-9 || 1-2g ||
! | Generator range
|| 3L18s || 6\21 &lt; g &lt; 1\3 || g = 13\42 || g = //7\24//, 8\27, 9\30 || 6g-5\3 || 1\3-g ||
! | Midpoint
|| 4L17s || 5\21 &lt; g &lt; 1\4 || g = 41\168 || g = //6\25//, 7\29, 8\33 || 17g-2 || 1-4g ||
! | Boundaries of propriety, maximum expressiveness, diatonicity
|| 5L16s || 4\21 &lt; g &lt; 1\5 || g = 41\210 || g = 5\26, 6\31, 7\36 || 16g-3 || 1-5g ||
! | Large 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 ||
! | Small step
|| 7L14s || 2\21 &lt; g &lt; 1\7 || g = 5\42 || g = 3\28, 4\35, 5\42 || 2g-1\7 || 1\7-g ||
|-
|| 8L13s || 13\21 &lt; g &lt; 5\8 || g = 209\336 || g = 18\29, 23\37, 28\45 || 13g-8 || 5-8g ||
| | 1L11s
|| 9L12s || 2\21 &lt; g &lt; 1\9 || g = 13\126 || g = 3\30, 4\39, 5\48 || 4g-1\3 || 1\3-3g ||
| | 11\12 &lt; g &lt; 1
|| 10L11s || 2\21 &lt; g &lt; 1\10 || g = 41\420 || g = 3\31, 4\41, 5\51 || 11g-1 || 1-10g ||
| | g = 23\24
|| 11L10s || 19\21 &lt; g &lt; 10\11 || g = 419\462 || g = 29\32, 39\43, 49\54 || 10g-9 || 10-11g ||
| | g = ''12\13,'' ''13\14'', 14\15
|| 12L9s || 5\21 &lt; g &lt; 3\12 || g = 41\168 || g = 8\33, 11\45, 14\57 || 3g-2\3 || 1-4g ||
| | 11g-10
|| 13L8s || 8\21 &lt; g &lt; 5\13 || g = 209\546 || g = 13\34, 18\47, 23\70 || 8g-3 || 5-13g ||
| | 1-g
|| 14L7s || 1\21 &lt; g &lt; 1\14 || g = 5\84 || g = 2\35, 3\49, 4\63 || g || 1\7-2g ||
|-
|| 15L6s || 4\21 &lt; g &lt; 3\15 || g = 41\210 || g = 7\36, 10\51, 13\66 || 2g-1\3 || 1-5g ||
| | 2L10s
|| 16L5s || 17\21 &lt; g &lt; 13\16 || g = 545\672 || g = 30\37, 43\53, 56\69 || 5g-4 || 13-16g ||
| | 5\12 &lt; g &lt; 1\2
|| 17L4s || 16\21 &lt; g &lt; 13\17 || g = 545\714 || g = 29\38, 42\55, 55\72 || 4g-3 || 13-17g ||
| | g = 11\24
|| 18L3s || 1\21 &lt; g &lt; 1\18 || g = 13\252 || g = 2\39, 3\57, 4\75 || g || 1\3-6g ||
| | g = ''6\14'', 7\16, 8\18
|| 19L2s || 11\21 &lt; g &lt; 10\19 || g = 419\798 || g = 21\40, 31\59, 41\78 || 2g-1 || 10-19g ||
| | 5g-2
|| 20L1s || 1\21 &lt; g &lt; 1\20 || g = 41\840 || g = 2\41, 3\61, 4/81 || g || 1-20g ||
| | 1\2-g
|-
| | 3L9s
| | 3\12 &lt; g &lt; 1\3
| | g = 7\24
| | g = 4\15, 5\18, 6\21
| | 3g-2\3
| | 1\3-g
|-
| | 4L8s
| | 2\12 &lt; g &lt; 1\4
| | g = 5\24
| | g = 3\16, 4\20, 5\24
| | 2g-1\4
| | 1\4-g
|-
| | 5L7s
| | 7\12 &lt; g &lt; 3\5
| | g = 71\120
| | g = 10\17, 13\22, 16\27
| | 7g-4
| | 3-5g
|-
| | 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
|-
| | 8L4s
| | 1\12 &lt; g &lt; 1\8
| | g = 5\48
| | g = 2\20, 3\28, 4\36
| | g
| | 1\4-2g
|-
| | 9L3s
| | 1\12 &lt; g &lt; 1\9
| | g = 7\72
| | g = 2\21, 3\30, 4\39
| | g
| | 1\3-3g
|-
| | 10L2s
| | 1\12 &lt; g &lt; 1\10
| | g = 11\120
| | g = 2\22, 3\32, 4\42
| | g
| | 1\2-5g
|-
| | 11L1s
| | 1\12 &lt; g &lt; 1\11
| | g = 23\264
| | g = 2\23, 3\34, 4\45
| | g
| | 1-11g
|}


=22=
=13=
||~ 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 ||
|| 1L21s || 21\22 &lt; g &lt; 1 || g = 43\44 || g = //22\23,// //23\24,// //24/25// || 21g-20 || 1-g ||
|| 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 ||
|| 4L18s || 5\22 &lt; g &lt; 1\4 || g = 21\88 || g = //6\26//, 7\30, 8\34 || 9g-2 || 1\2-2g ||
|| 5L17s || 13\22 &lt; g &lt; 3\5 || g = 131\220 || g = 16\27, 19\32, 22\37 || 17g-10 || 3-5g ||
|| 6L16s || 7\22 &lt; g &lt; 2\6 || g = 43\132 || g = 9\28, 11\34, 13\40 || 8g-5\2 || 1-3g ||
|| 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 ||
|| 9L13s || 17\22 &lt; g &lt; 7\9 || g = 307\396 || g = 24\31, 31\40, 38\49 || 13g-10 || 7-9g ||
|| 10L12s || 2\22 &lt; g &lt; 1\10 || g = 21\220 || g = 3\32, 4\42, 5\52 || 6g-1\2 || 1\2-5g ||
|| 11L11s || 1\22 &lt; g &lt; 1\11 || g = 3\44 || g = 2\33, 3\44, 4\55 || g || 1\11-g ||
|| 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 ||
|| 14L8s || 3\22 &lt; g &lt; 2\14 || g = 43\308 || g = 5\36, 7\50, 9\64 || 4g-1\2 || 1-7g ||
|| 15L7s || 19\22 &lt; g &lt; 13\15 || g = 571\660 || g = 32\37, 45\52, 58\67 || 7g-6 || 13-15g ||
|| 16L6s || 4\22 &lt; g &lt; 3\16 || g = 65\352 || g = 7\38, 10\54, 13\70 || 3g-1\2 || 3\2-8g ||
|| 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 ||
|| 19L3s || 15\22 &lt; g &lt; 13\19 || g = 571\836 || g = 28\41, 41\60, 54\79 || 3g-2 || 13-19g ||
|| 20L2s || 1\22 &lt; g &lt; 1\20 || g = 21\440 || g = 2\42, 3\62, 4\72 || g || 1\2-10g ||
|| 21L1s || 1\22 &lt; g &lt; 1\21 || g = 43\924 || g = 2\43, 3\64, 4\85 || g || 1-21g ||


=23=
{| class="wikitable"
||~ 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 ||
|-
|| 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 ||
! | Large-small numbers
|| 2L21s || 11\23 &lt; g &lt; 1\2 || g = 45\92 || g = //12\25, 13\27//, 14\29 || 21g-10 || 1-2g ||
! | Generator range
|| 3L20s || 15\23 &lt; g &lt; 2\3 || g = 91\138 || g = //17\26//, 19\29, 21\32 || 20g-13 || 1-3g ||
! | Midpoint
|| 4L19s || 17\23 &lt; g &lt; 3\4 || g = 137\184 || g = //20\27//, 23\31, 26\35 || 19g-14 || 3-4g ||
! | Boundaries of propriety, maximum expressiveness, diatonicity
|| 5L18s || 9\23 &lt; g &lt; 2\5 || g = 91\230 || g = 11\28, 13\33, 15\38 || 18g-7 || 2-5g ||
! | Large step
|| 6L17s || 19\23 &lt; g &lt; 5\6 || g = 229\276 || g = 24\29, 29\35, 34\41 || 17g-15 || 1-6g ||
! | Small step
|| 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 ||
|-
|| 8L15s || 20\23 &lt; g &lt; 7\8 || g = 321\368 || g = 27\31, 34\39, 41\47 || 15g-13 || 7-8g ||
| | 1L12s
|| 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; ||
| | 12\13 &lt; g &lt; 1
|| 10L13s || 16\23 &lt; g &lt; 7\10 || g = 321\460 || g = 23\33, 30\43, 37\53 || 13g-9 || 7-10g ||
| | g = 25\26
|| 11L12s || 2\23 &lt; g &lt; 1\11 || g = 45\506 || g = 3\34, 4\45, 5\56 || 12g-1 || 1-11g ||
| | g = ''13\14,'' ''14\15'', 15\16
|| 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 ||
| | 12g-11
|| 13L10s || 7\23 &lt; g &lt; 4\13 || g = 183\598 || g = 11\36, 15\49, 19\62 || 10g-3 || 4-13g ||
| | 1-g
|| 14L9s || 18\23 &lt; g &lt; 11\14 || g = 505\644 || g = 29\37, 40\51, 51\65 || 9g-7 || 11-14g ||
|-
|| 15L8s || 3\23 &lt; g &lt; 2\15 || g = 91\690 || g = 5\38, 7\53, 9\68 || 8g-1 || 2-15g ||
| | 2L11s
|| 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; ||
| | 6\13 &lt; g &lt; 1\2
|| 17L6s || 4\23 &lt; g &lt; 3\17 || g = 137\782 || g = 7\40, 10\57, 13\74 || 6g-1 || 3-17g ||
| | g = 25\52
|| 18L5s || 14\23 &lt; g &lt; 11\18 || g = 505\828 || g = 25\41, 36\59, 47\77 || 5g-4 || 11-18g ||
| | g = ''7\15'', 8\17, 9\19
|| 19L4s || 6\23 &lt; g &lt; 5\19 || g = 229\874 || g = 11\42, 16\61, 21\80 || 4g-1 || 5-19g ||
| | 11g-5
|| 20L3s || 8\23 &lt; g &lt; 7\20 || g = 321\920 || g = 15\43, 22\63, 29\83 || 3g-1 || 13-20g ||
| | 1-2g
|| 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 ||
| | 3L10s
| | 4\13 &lt; g &lt; 1\3
| | g = 25\78
| | g = 5\16, 6\19, 7/22
| | 10g-3
| | 1-3g
|-
| | 4L9s
| | 3\13 &lt; g &lt; 1\4
| | g = 25\104
| | g = 4\17, 5\21, 6\25
| | 9g-2
| | 1-4g
|-
| | 5L8s
| | 5\13 &lt; g &lt; 2\5
| | g = 51\130
| | g = 7\18, 9\23, 11\28
| | 8g-3
| | 2-5g
|-
| | 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
|-
| | 8L5s
| | 8\13 &lt; g &lt; 5\8
| | g = 129\208
| | g = 13\21, 18\29, 23\37
| | 5g-3
| | 5-8g
|-
| | 9L4s
| | 10\13 &lt; g &lt; 7\9
| | g = 181\234
| | g = 17\22, 24\31, 31\40
| | 4g-3
| | 7-9g
|-
| | 10L3s
| | 9\13 &lt; g &lt; 7\10
| | g = 181\260
| | g = 16\23, 23\33, 30\43
| | 3g-2
| | 7-10g
|-
| | 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
|}


=24=
=14=
||~ 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 ||
|| 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 ||
|| 3L21s || 7\24 &lt; g &lt; 1\3 || g = 15\48 || g = //8\27//, 9\30, 10\33 || 2/3-2g || g-1/3 ||
|| 4L20s || 5\24 &lt; g &lt; 1\4 || g = 11\48 || g = //6\28//, 7\32, 8\36 || 5g-1 || 1/4-g ||
|| 5L19s || 19\24 &lt; g &lt; 4\5 || g = 191\240 || g = //23\29//, 27\34, 31\39 || 19g-15 || 4-5g ||
|| 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 ||
|| 8L16s || 2\24 &lt; g &lt; 1\8 || g = 5\48 || g = 3\32, 4\40, 5\48 || 2g-1\8 || 1\8-g ||
|| 9L15s || 5\24 &lt; g &lt; 2\9 || g = 31\144 || g = 7\33, 9\42, 11\51 || 5g-1 || 2\3-3g ||
|| 10L14s || 7\24 &lt; g &lt; 3\10 || g = 71\240 || g = 10\34, 13\44, 16\54 || 7g-2 || 3\2-5g ||
|| 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 ||
|| 13L11s || 11\24 &lt; g &lt; 6\13 || g = 287\624 || g = 17\37, 23\50, 29\63 || 11g-5 || 6-13g ||
|| 14L10s || 17\24 &lt; g &lt; 10\14 || g = 239\336 || g = 27\38, 37\52, 47\66 || 3\2-5g || 7g-2 ||
|| 15L9s || 3\24 &lt; g &lt; 2\15 || g = 31\240 || g = 5\39, 7\54, 9\69 || 3g-1\3 || 2\3-5g ||
|| 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 ||
|| 18L6s || 1\24 &lt; g &lt; 1\18 || g = 7\144 || g = 2\42, 3\60, 4\78 || g || 1\6-3g ||
|| 19L5s || 5\24 &lt; g &lt; 4\19 || g = 191\912 || g = 9\43, 13\62, 17\81 || 5g-5 || 4-19g ||
|| 20L4s || 1\24 &lt; g &lt; 1\20 || g = 11\240 || g = 2\44, 3\64, 4\84 || g || 1\4-5g ||
|| 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 ||
|| 23L1s || 1\24 &lt; g &lt; 1\23 || g = 47\1104 || g = 2\47, 3\70, 4\93 || g || 1-23g ||


=25=
{| class="wikitable"
||~ 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 ||
|-
|| 1L24s || 24\25 &lt; g &lt; 1 || g = 49\50 || g = //25\26, 26\27, 27\28// || 24g-23 || 1-g ||
! | Large-small numbers
|| 2L23s || 12\25 &lt; g &lt; 1\2 || g = 49\100 || g = //13\27, 14\29//, 15\31 || 23g-11 || 1-2g ||
! | Generator range
|| 3L22s || 8\25 &lt; g &lt; 1\3 || g = 49\150 || g = //9\28//, 10\31, 11\34 || 22g-7 || 1-3g ||
! | Midpoint
|| 4L21s || 6\25 &lt; g &lt; 1\4 || g = 49\200 || g = //7\29//, 8\33, 9\37 || 21g-5 || 1-4g ||
! | Boundaries of propriety, maximum expressiveness, diatonicity
|| 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
|| 6L19s || 4\25 &lt; g &lt; 1\6 || g = 49\300 || g = 5\31, 6\37, 7\43 || 19g-3 || 1-6g ||
! | Small step
|| 7L18s || 7\25 &lt; g &lt; 2\7 || g = 99\350 || g = 9\32, 11\39, 13\46 || 18g-5 || 2-7g ||
|-
|| 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 ||
| | 1L13s
|| 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; ||
| | 13\14 &lt; g &lt; 1
|| 10L15s || 2\25 &lt; g &lt; 1\10 || g = 9\100 || g = 3\35, 4\45, 5\55 || 3g-1\5 || 1\5-2g ||
| | g = 27\28
|| 11L14s || 9\25 &lt; g &lt; 4\11 || g = 199\550 || g = 13\36, 17\47, 21\58 || 14g-5 || -11g+4 ||
| | g = ''14\15,'' ''15\16'', 16\17
|| 12L13s || 2\25 &lt; g &lt; 1\12 || g = 49\600 || g = 3\37, 4\49, 5\61 || 13g-1 || 1-12g ||
| | 13g-12
|| 13L12s || 23\25 &lt; g &lt; 12\13 || g = 599\650 || g = 35\38, 47\51, 59\64 || 12g-11 || 12-13g ||
| | 1-g
|| 14L11s || 16\25 &lt; g &lt; 9\14 || g = 449\700 || g = 25\39, 34\53, 43\67 || 11g-7 || -14g+9 ||
|-
|| 15L10s || 3\25 &lt; g &lt; 2\15 || g = 19\150 || g = 5\40, 7\55, 9\70 || 2g-1\5 || 2\5-3g ||
| | 2L12s
|| 16L9s || 14\25 &lt; g &lt; 9\16 || g = 449\800 || g = 23\41, 32\57, 41\73 || 9g-5 || 9-16g ||
| | 6\14 &lt; g &lt; 1\2
|| 17L8s || 22\25 &lt; g &lt; 15\17 || g = 749\850 || g = 37\42, 52\59, 67\76 || 8g-7 || 15-17g ||
| | g = 13\28
|| 18L7s || 18\25 &lt; g &lt; 13\18 || g = 649\900 || g = 31\43, 44\61, 57\79 || 7g-5 || 13-18g ||
| | g = ''7\16'', 8\18, 9\20
|| 19L6s || 21\25 &lt; g &lt; 16\19 || g = 799\950 || g = 37\44, 53\63, 69\82 || 6g-5 || 16-19g ||
| | 6g-5\2
|| 20L5s || 1\25 &lt; g &lt; 1\20 || g = 9\200 || g = 2\45, 3\65, 4\85 || g || 1\5-4g ||
| | 1\2-g
|| 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 ||
| | 3L11s
|| 23L2s || 13\25 &lt; g &lt; 12\23 || g = 599\1150 || g = 25\48, 37\71, 49\94 || 2g-1 || 11-23g ||
| | 9\14 &lt; g &lt; 2\3
|| 24L1s || 1\25 &lt; g &lt; 1\24 || g = 49\1200 || g = 2\49, 3\73, 4\97 || g || 1-24g ||
| | g = 55\84
| | g = 11\17, 13\20, 15\23
| | 11g-7
| | 2-3g
|-
| | 4L10s
| | 3\14 &lt; g &lt; 1\4
| | g = 13\56
| | g = 4\18, 5\22, 6\26
| | 5g-1
| | 1\2-2g
|-
| | 5L9s
| | 11\14 &lt; g &lt; 4\5
| | g = 111\140
| | g = 15\19, 19\24, 23\29
| | 9g-7
| | 4-5g
|-
| | 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
|-
| | 8L6s
| | 5\14 &lt; g &lt; 3\8
| | g = 41\112
| | g = 8\22, 11\30, 14\38
| | 3g-1
| | 3\2-4g
|-
| | 9L5s
| | 3\14 &lt; g &lt; 2\9
| | g = 55\252
| | g = 5\23, 7\32, 9\41
| | 5g-1
| | 2-9g
|-
| | 10L4s
| | 4\14 &lt; g &lt; 3\10
| | g = 41\140
| | g = 7\24, 10\34, 13\44
| | 2g-1\2
| | 3\2-5g
|-
| | 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
|-
| | 13L1s
| | 1\14 &lt; g &lt; 1\13
| | g = 27\364
| | g = 2\27, 3\40, 4\53
| | g
| | 1-13g
|}


=26=
=15=
||~ 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 ||
|| 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 ||
|| 3L23s || 17\26 &lt; g &lt; 2\3 || g = 103\156 || g = //19\29//, 21\32, 23\35 || 23g-15 || 2-3g ||
|| 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; ||
|| 5L21s || 5\26 &lt; g &lt; 1\5 || g = 51\260 || g = //6\31//, 7\36, 8\41 || 21g-4 || 1-5g ||
|| 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 ||
|| 8L18s || 3\26 &lt; g &lt; 1\8 || g = 25\208 || g = 4\34, 5\42, 6\50 || 9g-1 || 1\2-4g ||
|| 9L17s || 23\26 &lt; g &lt; 8\9 || g = 415\468 || g = 31\35, 39\44, 47\53 || 17g-15 || 8-9g ||
|| 10L16s || 5\26 &lt; g &lt; 2\10 || g = 51\260 || g = 7\36, 9\46, 11\56 || 8g-3\2 || 1-5g ||
|| 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 ||
|| 13L13s || 1\26 &lt; g &lt; 1\13 || g = 3\52 || g = 2\39, 3\52, 4\65 || g || 1\13-g ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| 25L1s || 1\26 &lt; g &lt; 1\25 || g = 51\1300 || g = 2\51, 3\76, 4\101 || g || 1-25g ||


=27=
{| class="wikitable"
||~ 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 ||
|-
|| 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 ||
! | Large-small numbers
|| 2L25s || 13\27 &lt; g &lt; 1\2 || g = 53\108 || g = //14\29, 15\31//, 16\33 || 25g-12 || 1-2g ||
! | Generator range
|| 3L24s || 8\27 &lt; g &lt; 1\3 || g = 17\54 || g = //9\30//, 10\33, 11\36 || 8g-7\3 || 1-3g ||
! | Midpoint
|| 4L23s || 20\27 &lt; g &lt; 3\4 || g = 161\216 || g = //23\31//, 26\35, 29\39 || 23g-17 || 3-4g ||
! | Boundaries of propriety, maximum expressiveness, diatonicity
|| 5L22s || 16\27 &lt; g &lt; 3\5 || g = 161\270 || g = //19\32//, 22\37, 25\42 || 22g-13 || 3-5g ||
! | Large step
|| 6L21s || 4\27 &lt; g &lt; 1\6 || g = 17\108 || g = 5\33, 6\39, 7\45 || 7g-1 || 1\3-2g ||
! | Small step
|| 7L20s || 23\27 &lt; g &lt; 6\7 || g = 323\378 || g = 29\34, 35\41, 41\48 || 20g-17 || 6-7g ||
|-
|| 8L19s || 10\27 &lt; g &lt; 3\8 || g = 161\432 || g = 13\35, 16\43, 19\51 || 19g-7 || 3-8g ||
| | 1L14s
|| 9L18s || 2\27 &lt; g &lt; 1\9 || g = 5\54 || g = 3\36, 4\45, 5\54 || 2g-1\9 || 1\9-g ||
| | 14\15 &lt; g &lt; 1
|| 10L17s || 8\27 &lt; g &lt; 3\10 || g = 161\540 || g = 11\37, 14\47, 17\57 || 17g-5 || 3-10g ||
| | g = 29\30
|| 11L16s || 22\27 &lt; g &lt; 9\11 || g = 485\594 || g = 31\38, 40\49, 49\60 || 16g-13 || 9-11g ||
| | g = ''15\16,'' ''16\17'', 17\18
|| 12L15s || 2\27 &lt; g &lt; 1\12 || g = 17\216 || g = 3\39, 4\51, 5\63 || 5g-1\3 || 1\3-4g ||
| | 14g-13
|| 13L14s || 2\27 &lt; g &lt; 1\13 || g = 53\702 || g = 3\40, 4\53, 5\66 || 14g-1 || 1-13g ||
| | 1-g
|| 14L13s || 25\27 &lt; g &lt; 13\14 || g = 701\756 || g = 38\41, 51\55, 64\69 || 13g-12 || 13-14g ||
|-
|| 15L12s || 7\27 &lt; g &lt; 4\15 || g = 71\270 || g = 11\42, 15\57, 19\72 || 4g-4 || 14\3-5g ||
| | 2L13s
|| 16L11s || 5\27 &lt; g &lt; 3\16 || g = 161\864 || g = 8\43, 11\59, 14\75 || 11g-2 || 3-16g ||
| | 7\15 &lt; g &lt; 1\2
|| 17L10s || 19\27 &lt; g &lt; 12\17 || g = 647\918 || g = 31\44, 43\61, 55\78 || 10g-7 || 12-17g ||
| | g = 29\60
|| 18L9s || 1\27 &lt; g &lt; 1\18 || g = 5\108 || g = 2\45, 3\63, 4\81 || g || 1\9-2g ||
| | g = ''8\17'', 9\19, 10\21
|| 19L8s || 17\27 &lt; g &lt; 12\19 || g = 647\1026 || g = 29\46, 41\65, 53\84 || 8g-5 || 12-19g ||
| | 13g-6
|| 20L7s || 4\27 &lt; g &lt; 3\20 || g = 161\1080 || g = 7\47, 10\67, 13\87 || 7g-1 || 3-20g ||
| | 1-2g
|| 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 ||
| | 3L12s
|| 23L4s || 7\27 &lt; g &lt; 6\23 || g = 323\1242 || g = 13\50, 19\73, 25\96 || 4g-1 || 6-23g ||
| | 4\15 &lt; g &lt; 1\3
|| 24L3s || 1\27 &lt; g &lt; 1\24 || g = 17\432 || g = 2\51, 3\75, 4\99 || g || 1\3-8g ||
| | g = 9\30
|| 25L2s || 14\27 &lt; g &lt; 13\25 || g = 701\1350 || g = 27\52, 40\77, 53\102 || 2g-1 || 13-25g ||
| | g = 5\18, 6\21, 7\24
|| 26L1s || 1\27 &lt; g &lt; 1\26 || g = 53\1404 || g = 2\53, 3\79, 4\105 || g || 1-26g ||
| | 4g-1
| | 1\3-g
|-
| | 4L11s
| | 11\15 &lt; g &lt; 3\4
| | g = 89\120
| | g = 14\19, 17\23, 20\27
| | 11g-8
| | 3-4g
|-
| | 5L10s
| | 2\15 &lt; g &lt; 1\5
| | g = 5\30
| | g = 3\20, 4\25, 5\30
| | 2g-1\5
| | 1\5-g
|-
| | 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
|-
| | 8L7s
| | 13\15 &lt; g &lt; 7\8
| | g = 209\240
| | g = 20\23, 27\31, 34\39
| | 7g-6
| | 7-8g
|-
| | 9L6s
| | 3\15 &lt; g &lt; 2\9
| | g = 19\90
| | g = 5\24, 7\33, 9\42
| | 2g-1\3
| | 2\3-3g
|-
| | 10L5s
| | 1\15 &lt; g &lt; 1\10
| | g = 5\60
| | g = 2\25, 3\35, 4\45
| | g
| | 1\5-2g
|-
| | 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
|-
| | 13L2s
| | 8\15 &lt; g &lt; 7\13
| | g = 209\390
| | g = 15\28, 22\41, 29\54
| | 2g-1
| | 7-13g
|-
| | 14L1s
| | 1\15 &lt; g &lt; 1\14
| | g = 29\420
| | g = 2\29, 3\43, 4\57
| | g
| | 1-14g
|}


=28=
=16=
||~ 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 ||
|| 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 ||
|| 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 ||
|| 4L24s || 6\28 &lt; g &lt; 1\4 || g = 13\56 || g = //7\32//, 8\36, 9\40 || 6g-5\4 || 1\4-g ||
|| 5L23s || 11\28 &lt; g &lt; 2\5 || g = 111\280 || g = //13\33//, 15\38, 17\43 || 23g-9 || 2-5g ||
|| 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 ||
|| 8L20s || 3\28 &lt; g &lt; 1\8 || g = 13\112 || g = 4\36, 5\44, 6\52 || 5g-1\2 || 1\4-2g ||
|| 9L19s || 3\28 &lt; g &lt; 1\9 || g = 55\504 || g = 4\37, 5\46, 6\55 || 19g-2 || 1-9g ||
|| 10L18s || 11\28 &lt; g &lt; 4\10 || g = 111\280 || g = 15\38, 19\48, 23\58 || 4g-7\2 || 2-5g ||
|| 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 ||
|| 13L15s || 15\28 &lt; g &lt; 7\13 || g = 391\728 || g = 22\41, 29\54, 36\67 || 15g-8 || 7-13g ||
|| 14L14s || 1\28 &lt; g &lt; 1\14 || g = 3\56 || g = 2\42, 3\56, 4\70 || g || 1\14-g ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||
|| &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 ||


=29=
{| class="wikitable"
||~ 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 ||
|-
|| 1L28s || 28\29 &lt; g &lt; 1 || g = 57\58 || g = //29\30, 30\31, 31\32// || 28g-27 || 1-g ||
! | Large-small numbers
|| 2L27s || 14\29 &lt; g &lt; 1\2 || g = 57\116 || g = //15\31//, //16\33//, 17\35 || 27g-13 || 1-2g ||
! | Generator range
|| 3L26s || 19\29 &lt; g &lt; 2\3 || g = 115\174 || g = //21\32//, 23\35, 25\38 || 26g-17 || 2-3g ||
! | Midpoint
|| 4L25s || 7\29 &lt; g &lt; 1\4 || g = 57\232 || g = //8\33//, 9\37, 10\41 || 25g-6 || 1-4g ||
! | Boundaries of propriety, maximum expressiveness, diatonicity
|| 5L24s || 23\29 &lt; g &lt; 4\5 || g = 231\290 || g = //27\34//, 31\39, 35\44 || 24g-19 || 4-5g ||
! | Large step
|| 6L23s || 24\29 &lt; g &lt; 5\6 || g = 289\348 || g = 29\35, 34\41, 39\47 || 23g-19 || 5-6g ||
! | Small step
|| 7L22s || 4\29 &lt; g &lt; 1\7 || g = 57\406 || g = 5\36, 6\43, 7\50 || 22g-3 || 1-7g ||
|-
|| 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; ||
| | 1L15s
|| 9L20s || 16\29 &lt; g &lt; 5\9 || g = 289\522 || g = 21\38, 26\47, 31\56 || 20g-11 || 5-9g ||
| | 15\16 &lt; g &lt; 1
|| 10L19s || 26\29 &lt; g &lt; 9\10 || g = 521\580 || g = 35\39, 44\49, 53\59 || 19g-17 || 9-10g ||
| | g = 31\32
|| 11L18s || 21\29 &lt; g &lt; 8\11 || g = 463\638 || g = 29\40, 37\51, 45\62 || 18g-13 || 8-11g ||
| | g = ''16\17,'' ''17\18'', 18\19
|| 12L17s || 12\29 &lt; g &lt; 5\12 || g = 289\696 || g = 17\41, 22\53, 27\65 || 17g-7 || 5-12g ||
| | 15g-14
|| 13L16s || 20\29 &lt; g &lt; 9\13 || g = 521\754 || g = 29\42, 38\55, 47\68 || 16g+11 || 9-13g ||
| | 1-g
|| 14L15s || 2\29 &lt; g &lt; 1\14 || g = 57\812 || g = 3\43, 4\57, 5\71 || 15g-1 || 1-14g ||
|-
|| 15L14s || 27\29 &lt; g &lt; 14\15 || g = 811\870 || g = 41\44, 55\59, 69\74 || 14g-13 || 14-15g ||
| | 2L14s
|| 16L13s || 9\29 &lt; g &lt; 5\16 || g = 289\928 || g = 14\45, 19\61, 24\77 || 13g-4 || 5-16g ||
| | 7\16 &lt; g &lt; 1\2
|| 17L12s || 17\29 &lt; g &lt; 10\17 || g = 579\986 || g = 27\46, 37\63, 47\80 || 12g-5 || 7-17g ||
| | g = 15\32
|| 18L11s || 8\29 &lt; g &lt; 5\18 || g = 289\1044 || g = 13\47, 18\65, 23\83 || 11g-3 || 5-18g ||
| | g = ''8\18'', 9\20, 10\22
|| 19L10s || 3\29 &lt; g &lt; 2\19 || g = 115\1102 || g = 5\48, 7\67, 9\86 || 10g-1 || 2-19g ||
| | 7g-3
|| 20L9s || 13\29 &lt; g &lt; 9\20 || g = 521\1160 || g = 22\49, 31\69, 40\89 || 9g-5 || 9-20g ||
| | 1\2-g
|| 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 ||
| | 3L13s
|| 23L6s || 5\29 &lt; g &lt; 4\23 || g = 231\1332 || g = 9\52, 13\75, 17\98 || 6g-1 || 4-23g ||
| | 5\16 &lt; g &lt; 1\3
|| 24L5s || 6\29 &lt; g &lt; 5\24 || g = 289\1392 || g = 11\53, 16\77, 21\101 || 5g-9 || 5-24g ||
| | g = 31\96
|| 25L4s || 22\29 &lt; g &lt; 19\25 || g = 1001\1450 || g = 41\54, 60\79, 79\104 || 4g-3 || 19-25g ||
| | g = 6\19, 7\22, 8\25
|| 26L3s || 10\29 &lt; g &lt; 9\26 || g = 521\1508 || g = 19\55, 28\81, 37\107 || 3g-1 || 19\2-26g ||
| | 13g-4
|| 27L2s || 15\29 &lt; g &lt; 14\27 || g = 811\1564 || g = 29\56, 43\83, 57\110 || 2g-1 || 17-27g ||
| | 1-3g
|| 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>
|-
<h4>Original HTML content:</h4>
| | 4L12s
<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;
| | 3\16 &lt; g &lt; 1\4
&lt;br /&gt;
| | g = 7\32
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;
| | g = 4\20, 5\24, 6\28
&lt;br /&gt;
| | 3g-1\2
&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;
| | 1\4-g
&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;
|-
| | 5L11s
| | 3\16 &lt; g &lt; 1\5
| | g = 31\160
| | g = 4\21, 5\26, 6\31
| | 11g-2
| | 1-5g
|-
| | 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
|-
| | 8L8s
| | 1\16 &lt; g &lt; 1\8
| | g = 3\32
| | g = 2\24, 3\32, 4\40
| | g
| | 1\8-g
|-
| | 9L7s
| | 7\16 &lt; g &lt; 4\9
| | g = 127\286
| | g = 11\25, 15\34, 19\43
| | 7g-3
| | 4-9g
|-
| | 10L6s
| | 3\16 &lt; g &lt; 2\10
| | g = 31\160
| | g = 5\26, 7\36, 8\46
| | 3g-1\2
| | 1-5g
|-
| | 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
|-
| | 13L3s
| | 11\16 &lt; g &lt; 9\13
| | g = 287\416
| | g = 20\29, 29\42, 38\55
| | 3g-2
| | 9-13g
|-
| | 14L2s
| | 1\16 &lt; g &lt; 1\14
| | g = 15\224
| | g = 2\30, 3\44, 4\58
| | g
| | 1\2-7g
|-
| | 15L1s
| | 1\16 &lt; g &lt; 1\15
| | g = 31\480
| | g = 2\31, 3\46, 4\61
| | g
| | 1-15g
|}


=17=


&lt;table class="wiki_table"&gt;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;th&gt;Large-small numbers&lt;br /&gt;
! | Large-small numbers
&lt;/th&gt;
! | Generator range
        &lt;th&gt;Generator range&lt;br /&gt;
! | Midpoint
&lt;/th&gt;
! | Boundaries of propriety, maximum expressiveness, diatonicity
        &lt;th&gt;Midpoint&lt;br /&gt;
! | Large step
&lt;/th&gt;
! | Small step
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
|-
&lt;/th&gt;
| | 1L16s
        &lt;th&gt;Large step&lt;br /&gt;
| | 16\17 &lt; g &lt; 1
&lt;/th&gt;
| | g = 33\34
        &lt;th&gt;Small step&lt;br /&gt;
| | g = ''17\18,'' ''18\19'', 19\20
&lt;/th&gt;
| | 16g-15
    &lt;/tr&gt;
| | 1-g
    &lt;tr&gt;
|-
        &lt;td&gt;1L1s&lt;br /&gt;
| | 2L15s
&lt;/td&gt;
| | 8\17 &lt; g &lt; 1\2
        &lt;td&gt;1\2 &amp;lt; g &amp;lt; 1&lt;br /&gt;
| | g = 33\68
&lt;/td&gt;
| | g = ''9\19'', 10\21, 11\23
        &lt;td&gt;g = 3\4&lt;br /&gt;
| | 15g-7
&lt;/td&gt;
| | 1-2g
        &lt;td&gt;g = 2\3, 3\4, 4\5&lt;br /&gt;
|-
&lt;/td&gt;
| | 3L14s
        &lt;td&gt;g&lt;br /&gt;
| | 11\17 &lt; g &lt; 2\3
&lt;/td&gt;
| | g = 67\102
        &lt;td&gt;1-g&lt;br /&gt;
| | g = 13\20, 15\23, 17\26
&lt;/td&gt;
| | 14g-9
    &lt;/tr&gt;
| | 2-3g
    &lt;tr&gt;
|-
        &lt;td&gt;1L2s&lt;br /&gt;
| | 4L13s
&lt;/td&gt;
| | 4\17 &lt; g &lt; 1\4
        &lt;td&gt;2\3 &amp;lt; g &amp;lt; 1&lt;br /&gt;
| | g = 33\136
&lt;/td&gt;
| | g = 5\21, 6\25, 7\29
        &lt;td&gt;g = 5\6&lt;br /&gt;
| | 13g-3
&lt;/td&gt;
| | 1-4g
        &lt;td&gt;g = 3\4, 4\5, 5\6&lt;br /&gt;
|-
&lt;/td&gt;
| | 5L12s
        &lt;td&gt;2g-1&lt;br /&gt;
| | 10\17 &lt; g &lt; 3\5
&lt;/td&gt;
| | g = 101\170
        &lt;td&gt;1-g&lt;br /&gt;
| | g = 13\22, 16\27, 19\32
&lt;/td&gt;
| | 12g-7
    &lt;/tr&gt;
| | 3-5g
    &lt;tr&gt;
|-
        &lt;td&gt;2L1s&lt;br /&gt;
| | 6L11s
&lt;/td&gt;
| | 14\17 &lt; g &lt; 5\6
        &lt;td&gt;1\3 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
| | g = 169\204
&lt;/td&gt;
| | g = 19\23, 24\29, 29\35
        &lt;td&gt;g = 5\12&lt;br /&gt;
| | 11g-9
&lt;/td&gt;
| | 5-6g
        &lt;td&gt;g = 2\5, 3\7, 4\9&lt;br /&gt;
|-
&lt;/td&gt;
| | 7L10s
        &lt;td&gt;g&lt;br /&gt;
| | 12\17 &lt; g &lt; 5\7
&lt;/td&gt;
| | g = 169\238
        &lt;td&gt;1-2g&lt;br /&gt;
| | g = 17\24, 22\31, 27\38
&lt;/td&gt;
| | 10g-7
    &lt;/tr&gt;
| | 5-7g
    &lt;tr&gt;
|-
        &lt;td&gt;1L3s&lt;br /&gt;
| | 8L9s
&lt;/td&gt;
| | 2\17 &lt; g &lt; 1\8
        &lt;td&gt;3\4 &amp;lt; g &amp;lt; 1&lt;br /&gt;
| | g = 33\272
&lt;/td&gt;
| | g = 3\25, 4\33, 5\41
        &lt;td&gt;g = 7\8&lt;br /&gt;
| | 9g-1
&lt;/td&gt;
| | 1-8g
        &lt;td&gt;g = 4\5, 5\6, 6\7&lt;br /&gt;
|-
&lt;/td&gt;
| | 9L8s
        &lt;td&gt;3g-2&lt;br /&gt;
| | 15\17 &lt; g &lt; 8\9
&lt;/td&gt;
| | g = 271\306
        &lt;td&gt;1-g&lt;br /&gt;
| | g = 23\26, 31\35, 39\44
&lt;/td&gt;
| | 8g-7
    &lt;/tr&gt;
| | 8-9g
    &lt;tr&gt;
|-
        &lt;td&gt;2L2s&lt;br /&gt;
| | 10L7s
&lt;/td&gt;
| | 5\17 &lt; g &lt; 3\10
        &lt;td&gt;1\4 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
| | g = 101\340
&lt;/td&gt;
| | g = 8\27, 11\37, 14\47
        &lt;td&gt;g = 3\8&lt;br /&gt;
| | 7g-2
&lt;/td&gt;
| | 3-10g
        &lt;td&gt;g = 2\6, 3\8, 4\10&lt;br /&gt;
|-
&lt;/td&gt;
| | 11L6s
        &lt;td&gt;g&lt;br /&gt;
| | 3\17 &lt; g &lt; 2\11
&lt;/td&gt;
| | g = 67\374
        &lt;td&gt;1\2-g&lt;br /&gt;
| | g = 5\28, 7\39, 9\50
&lt;/td&gt;
| | 6g-1
    &lt;/tr&gt;
| | 2-11g
    &lt;tr&gt;
|-
        &lt;td&gt;3L1s&lt;br /&gt;
| | 12L5s
&lt;/td&gt;
| | 7\17 &lt; g &lt; 5\12
        &lt;td&gt;1\4 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
| | g = 169\408
&lt;/td&gt;
| | g = 12\29, 17\41, 22\53
        &lt;td&gt;g = 7\24&lt;br /&gt;
| | 5g-2
&lt;/td&gt;
| | 5-12g
        &lt;td&gt;g = 2\7, 3\10, 4\13&lt;br /&gt;
|-
&lt;/td&gt;
| | 13L4s
        &lt;td&gt;g&lt;br /&gt;
| | 13\17 &lt; g &lt; 10\13
&lt;/td&gt;
| | g = 339\442
        &lt;td&gt;1-3g&lt;br /&gt;
| | g = 23\30, 33\43, 43\56
&lt;/td&gt;
| | 4g-3
    &lt;/tr&gt;
| | 10-13g
&lt;/table&gt;
|-
| | 14L3s
| | 6\17 &lt; g &lt; 5\14
| | g = 169\476
| | g = 11\31, 16\45, 21\59
| | 3g-1
| | 5-14g
|-
| | 15L2s
| | 9\17 &lt; g &lt; 8\15
| | g = 271\510
| | g = 17\32, 25\47, 33\62
| | 2g-1
| | 8-15g
|-
| | 16L1s
| | 1\17 &lt; g &lt; 1\16
| | g = 33\544
| | g = 2\33, 3\49, 4\65
| | g
| | 1-16g
|}


&lt;br /&gt;
=18=
&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;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;th&gt;Large-small numbers&lt;br /&gt;
! | Large-small numbers
&lt;/th&gt;
! | Generator range
        &lt;th&gt;Generator range&lt;br /&gt;
! | <span style="background-color: #ffffff;">Midpoint</span>
&lt;/th&gt;
! | Boundaries of propriety, maximum expressiveness, diatonicity
        &lt;th&gt;Midpoint&lt;br /&gt;
! | Large step
&lt;/th&gt;
! | Small step
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
|-
&lt;/th&gt;
| | 1L17s
        &lt;th&gt;Large step&lt;br /&gt;
| | 17\18 &lt; g &lt; 1
&lt;/th&gt;
| | g = 35\36
        &lt;th&gt;Small step&lt;br /&gt;
| | g = ''18\19, 19\20, 20\21''
&lt;/th&gt;
| | 17g-16
    &lt;/tr&gt;
| | 1-g
    &lt;tr&gt;
|-
        &lt;td&gt;1L4s&lt;br /&gt;
| | 2L16s
&lt;/td&gt;
| | 8\18 &lt; g &lt; 1\2
        &lt;td&gt;4\5 &amp;lt; g &amp;lt; 1&lt;br /&gt;
| | g = 17\36
&lt;/td&gt;
| | g -= ''9\20'', 10\22, 11\24
        &lt;td&gt;g = 9\10&lt;br /&gt;
| | 8g-7\2
&lt;/td&gt;
| | 1\2-g
        &lt;td&gt;g = 5\6, 6\7, 7\8&lt;br /&gt;
|-
&lt;/td&gt;
| | 3L15s
        &lt;td&gt;4g-3&lt;br /&gt;
| | 5\18 &lt; g &lt; 1\3
&lt;/td&gt;
| | g = 11\36
        &lt;td&gt;1-g&lt;br /&gt;
| | g = ''6\21'', 7\24, 8\27
&lt;/td&gt;
| | 5g-4\3
    &lt;/tr&gt;
| | 1\3-g
    &lt;tr&gt;
|-
        &lt;td&gt;2L3s&lt;br /&gt;
| | 4L14s
&lt;/td&gt;
| | <span style="line-height: 15.6000003814697px;">4\18 &lt; g &lt; 1\4</span>
        &lt;td&gt;2\5 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
| | g = 17\72
&lt;/td&gt;
| | <span style="line-height: 15.6000003814697px;">g = 5\22, 6\26,</span> 7\30
        &lt;td&gt;g = 9\20&lt;br /&gt;
| | 7g-3\2
&lt;/td&gt;
| | 1\2-2g
        &lt;td&gt;g = 3\7, 4\9, 5\11&lt;br /&gt;
|-
&lt;/td&gt;
| | 5L13s
        &lt;td&gt;3g-1&lt;br /&gt;
| | 7\18 &lt; g &lt; 2\5
&lt;/td&gt;
| | g = 71\180
        &lt;td&gt;1-2g&lt;br /&gt;
| | g = 9\23, 11\28, 13\33
&lt;/td&gt;
| | 13g-5
    &lt;/tr&gt;
| | 2-5g
    &lt;tr&gt;
|-
        &lt;td&gt;3L2s&lt;br /&gt;
| | 6L12s
&lt;/td&gt;
| | 2\18 &lt; g &lt; 1\6
        &lt;td&gt;3\5 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
| | g = 5\36
&lt;/td&gt;
| | g = 3\24, 4\30, 5\36
        &lt;td&gt;g = 19\30&lt;br /&gt;
| | 2g-1\6
&lt;/td&gt;
| | 1\6-g
        &lt;td&gt;g = 5\8, 7\11, 9\14&lt;br /&gt;
|-
&lt;/td&gt;
| | 7L11s
        &lt;td&gt;2g-1&lt;br /&gt;
| | 5\18 &lt; g &lt; 2\7
&lt;/td&gt;
| | g = 71\252
        &lt;td&gt;2-3g&lt;br /&gt;
| | g = 7\25, 9\32, 11\39
&lt;/td&gt;
| | 11g-3
    &lt;/tr&gt;
| | 2-7g
    &lt;tr&gt;
|-
        &lt;td&gt;4L1s&lt;br /&gt;
| | 8L10s
&lt;/td&gt;
| | 2\18 &lt; g &lt; 1\8
        &lt;td&gt;1\5 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
| | g = 17\144
&lt;/td&gt;
| | g = 3\26, 4\34, 5\42
        &lt;td&gt;g = 9\40&lt;br /&gt;
| | 5g-1\2
&lt;/td&gt;
| | 1\2-4g
        &lt;td&gt;g = 2\9, 3\13, 4\17&lt;br /&gt;
|-
&lt;/td&gt;
| | 9L9s
        &lt;td&gt;g&lt;br /&gt;
| | 1\18 &lt; g &lt; 1\9
&lt;/td&gt;
| | g = 3\36
        &lt;td&gt;1-4g&lt;br /&gt;
| | g = 2\27, 3\36, 4\45
&lt;/td&gt;
| | g
    &lt;/tr&gt;
| | 1\9-g
&lt;/table&gt;
|-
| | 10L8s
| | 7\18 &lt; g &lt; 4\10
| | g = 71\180
| | g = 11\28, 15\38, 19\48
| | 4g-3\2
| | 2-5g
|-
| | 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
|-
| | 13L5s
| | 11\18 &lt; g &lt; 8\13
| | g = 287\468
| | g = 19\31, 27\44, 35\57
| | 5g-3
| | 8-13g
|-
| | 14L4s
| | 5\18 &lt; g &lt; 4\14
| | g = 71\252
| | g = 9\32, 13\46, 17\60
| | 2g-1\2
| | 2-7g
|-
| | 15L3s
| | 1\18 &lt; g &lt; 1\15
| | g = 11\180
| | g = 2\33, 3\48, 4\63
| | g
| | 1\3-5g
|-
| | 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
|}


&lt;br /&gt;
=19=
&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;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;th&gt;Large-small numbers&lt;br /&gt;
! | Large-small numbers
&lt;/th&gt;
! | Generator range
        &lt;th&gt;Generator range&lt;br /&gt;
! | <span style="background-color: #ffffff;">Midpoint</span>
&lt;/th&gt;
! | Boundaries of propriety, maximum expressiveness, diatonicity
        &lt;th&gt;Midpoint&lt;br /&gt;
! | Large step
&lt;/th&gt;
! | Small step
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
|-
&lt;/th&gt;
| | 1L18s
        &lt;th&gt;Large step&lt;br /&gt;
| | 18\19 &lt; g &lt; 1
&lt;/th&gt;
| | g = 37\38
        &lt;th&gt;Small step&lt;br /&gt;
| | g = ''19\20, 20\21, 21\22''
&lt;/th&gt;
| | 18g-17
    &lt;/tr&gt;
| | 1-g
    &lt;tr&gt;
|-
        &lt;td&gt;1L5s&lt;br /&gt;
| | 2L17s
&lt;/td&gt;
| | 9\19 &lt; g &lt; 1\2
        &lt;td&gt;5\6 &amp;lt; g &amp;lt; 1&lt;br /&gt;
| | g = 37\76
&lt;/td&gt;
| | g = ''10\21'', 11\23, 12\25
        &lt;td&gt;g = 11\12&lt;br /&gt;
| | 17g-8
&lt;/td&gt;
| | 1-2g
        &lt;td&gt;g = 6\7, 7\8, 8\9&lt;br /&gt;
|-
&lt;/td&gt;
| | 3L16s
        &lt;td&gt;5g-4&lt;br /&gt;
| | 6\19 &lt; g &lt; 1\3
&lt;/td&gt;
| | g = 37\114
        &lt;td&gt;1-g&lt;br /&gt;
| | g = ''7\22'', 8\25, 10\31
&lt;/td&gt;
| | 16g-5
    &lt;/tr&gt;
| | 1-3g
    &lt;tr&gt;
|-
        &lt;td&gt;2L4s&lt;br /&gt;
| | 4L15s
&lt;/td&gt;
| | 14\19 &lt; g &lt; 3\4
        &lt;td&gt;2\6 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
| | g = 113\152
&lt;/td&gt;
| | g = 17\23, 20\27, 23\31
        &lt;td&gt;g = 5\12&lt;br /&gt;
| | 15g-11
&lt;/td&gt;
| | 3-4g
        &lt;td&gt;g = 3\8, 4\10, 5\12&lt;br /&gt;
|-
&lt;/td&gt;
| | 5L14s
        &lt;td&gt;2g-1\2&lt;br /&gt;
| | 15\19 &lt; g &lt; 4\5
&lt;/td&gt;
| | g = 151\190
        &lt;td&gt;1\2-g&lt;br /&gt;
| | g = 19\24, 23\29, 27\34
&lt;/td&gt;
| | 14g-11
    &lt;/tr&gt;
| | 4-5g
    &lt;tr&gt;
|-
        &lt;td&gt;3L3s&lt;br /&gt;
| | 6L13s
&lt;/td&gt;
| | 3\19 &lt; g &lt; 1\6
        &lt;td&gt;1\6 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
| | g = 37\228
&lt;/td&gt;
| | g = 4\25, 5\31, 6/37
        &lt;td&gt;g = 3\12&lt;br /&gt;
| | 13g-2
&lt;/td&gt;
| | 1-6g
        &lt;td&gt;g = 2\9, 3\12, 4\15&lt;br /&gt;
|-
&lt;/td&gt;
| | 7L12s
        &lt;td&gt;g&lt;br /&gt;
| | 8\19 &lt; g &lt; 3\7
&lt;/td&gt;
| | g = 113\266
        &lt;td&gt;1\3-g&lt;br /&gt;
| | g = 11\26, 14\33, 17\40
&lt;/td&gt;
| | 12g-5
    &lt;/tr&gt;
| | 3-7g
    &lt;tr&gt;
|-
        &lt;td&gt;4L2s&lt;br /&gt;
| | 8L11s
&lt;/td&gt;
| | 7\19 &lt; g &lt; 3\8
        &lt;td&gt;1\6 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
| | g = 113\304
&lt;/td&gt;
| | g = 10\27, 13\35, 16\43
        &lt;td&gt;g = 5\24&lt;br /&gt;
| | 11g-4
&lt;/td&gt;
| | 3-8g
        &lt;td&gt;g = 2\10, 3\14, 4\18&lt;br /&gt;
|-
&lt;/td&gt;
| | 9L10s
        &lt;td&gt;g&lt;br /&gt;
| | 2\19 &lt; g &lt; 1\9
&lt;/td&gt;
| | g = 37\342
        &lt;td&gt;1\2-2g&lt;br /&gt;
| | g = 3\28, 4\37, 5\46
&lt;/td&gt;
| | 10g-1
    &lt;/tr&gt;
| | 1-9g
    &lt;tr&gt;
|-
        &lt;td&gt;5L1s&lt;br /&gt;
| | 10L9s
&lt;/td&gt;
| | 17\19 &lt; g &lt; 9\10
        &lt;td&gt;1\6 &amp;lt; g &amp;lt; 1\5&lt;br /&gt;
| | g = 341\380
&lt;/td&gt;
| | g = 26\29, 35\39, 44\49
        &lt;td&gt;g = 11\60&lt;br /&gt;
| | 9g-8
&lt;/td&gt;
| | 9-10g
        &lt;td&gt;g = 2\11, 3\16, 4\21&lt;br /&gt;
|-
&lt;/td&gt;
| | 11L8s
        &lt;td&gt;g&lt;br /&gt;
| | 12\19 &lt; g &lt; 7\11
&lt;/td&gt;
| | g = 265\418
        &lt;td&gt;1-5g&lt;br /&gt;
| | g = 19\30, 26\41, 33\52
&lt;/td&gt;
| | 8g-5
    &lt;/tr&gt;
| | 7-11g
&lt;/table&gt;
|-
| | 12L7s
| | 11\19 &lt; g &lt; 7\12
| | g = 265\456
| | g = 18\31, 25\43, 32\55
| | 7g-4
| | 7-12g
|-
| | 13L6s
| | 16\19 &lt; g &lt; 11\13
| | g = 417\494
| | g = 27\32, 38\45, 49\58
| | 6g-5
| | 11-13g
|-
| | 14L5s
| | 4\19 &lt; g &lt; 3\14
| | g = 113\532
| | g = 7\33, 10\47, 13\61
| | 5g-1
| | 3-14g
|-
| | 15L4s
| | 5\19 &lt; g &lt; 4\15
| | g = 151\570
| | g = 9\34, 13\49, 17\64
| | 4g-1
| | 4-15g
|-
| | 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
|-
| | 18L1s
| | 1\19 &lt; g &lt; 1\18
| | g = 37\684
| | g = 2\37, 3\55, 4\73
| | g
| | 1-18g
|}


&lt;br /&gt;
=20=
&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;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;th&gt;Large-small numbers&lt;br /&gt;
! | Large-small numbers
&lt;/th&gt;
! | Generator range
        &lt;th&gt;Generator range&lt;br /&gt;
! | <span style="background-color: #ffffff;">Midpoint</span>
&lt;/th&gt;
! | Boundaries of propriety, maximum expressiveness, diatonicity
        &lt;th&gt;Midpoint&lt;br /&gt;
! | Large step
&lt;/th&gt;
! | Small step
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
|-
&lt;/th&gt;
| | 1L19s
        &lt;th&gt;Large step&lt;br /&gt;
| | 19\20 &lt; g &lt; 1
&lt;/th&gt;
| | g = 39\40
        &lt;th&gt;Small step&lt;br /&gt;
| | g = ''20\21, 21\22, 22\23''
&lt;/th&gt;
| | 19g-18
    &lt;/tr&gt;
| | 1-g
    &lt;tr&gt;
|-
        &lt;td&gt;1L6s&lt;br /&gt;
| | 2L18s
&lt;/td&gt;
| | 9\20 &lt; g &lt; 1\2
        &lt;td&gt;6\7 &amp;lt; g &amp;lt; 1&lt;br /&gt;
| | g = 19\40
&lt;/td&gt;
| | g = ''10\22'', 11\24, 12\26
        &lt;td&gt;g = 13\14&lt;br /&gt;
| | 9g-4
&lt;/td&gt;
| | 1\2-g
        &lt;td&gt;g = 7\8, 8\9, 9\10&lt;br /&gt;
|-
&lt;/td&gt;
| | 3L17s
        &lt;td&gt;6g-5&lt;br /&gt;
| | 13\20 &lt; g &lt; 2\3
&lt;/td&gt;
| | g = 79\120
        &lt;td&gt;1-g&lt;br /&gt;
| | g = ''15\23'', 17\26, 20\29
&lt;/td&gt;
| | 17g-11
    &lt;/tr&gt;
| | 2-3g
    &lt;tr&gt;
|-
        &lt;td&gt;2L5s&lt;br /&gt;
| | 4L16s
&lt;/td&gt;
| | 4\20 &lt; g &lt; 1\4
        &lt;td&gt;3\7 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
| | g = 9\40
&lt;/td&gt;
| | g = 5\24, 6\28, 7\32
        &lt;td&gt;g = 13\28&lt;br /&gt;
| | 4g-3\4
&lt;/td&gt;
| | 1\4-g
        &lt;td&gt;g = 4\9, 5\11, 6\13&lt;br /&gt;
|-
&lt;/td&gt;
| | 5L15s
        &lt;td&gt;5g-2&lt;br /&gt;
| | 3\20 &lt; g &lt; 1\5
&lt;/td&gt;
| | g = 7\40
        &lt;td&gt;1-2g&lt;br /&gt;
| | g = 4\25, 5\30, 6\35
&lt;/td&gt;
| | 3g-2\5
    &lt;/tr&gt;
| | 1\5-g
    &lt;tr&gt;
|-
        &lt;td&gt;3L4s&lt;br /&gt;
| | 6L14s
&lt;/td&gt;
| | 3\20 &lt; g &lt; 1\6
        &lt;td&gt;2\7 &amp;lt; g &amp;lt; 1\3&lt;br /&gt;
| | g = 19\120
&lt;/td&gt;
| | g = 4\26, 5\32, 6\38
        &lt;td&gt;g = 13\42&lt;br /&gt;
| | 7g-1
&lt;/td&gt;
| | 1\2-3g
        &lt;td&gt;g = 3\10, 4\13, 5\16&lt;br /&gt;
|-
&lt;/td&gt;
| | 7L13s
        &lt;td&gt;4g-1&lt;br /&gt;
| | 17\20 &lt; g &lt; 6\7
&lt;/td&gt;
| | g = 239\280
        &lt;td&gt;1-3g&lt;br /&gt;
| | g = 23\27, 29\34, 35\41
&lt;/td&gt;
| | 13g-11
    &lt;/tr&gt;
| | 6-7g
    &lt;tr&gt;
|-
        &lt;td&gt;4L3s&lt;br /&gt;
| | 8L12s
&lt;/td&gt;
| | 2\20 &lt; g &lt; 1\8
        &lt;td&gt;5\7 &amp;lt; g &amp;lt; 3\4&lt;br /&gt;
| | g = 9\80
&lt;/td&gt;
| | g = 3\28, 4\36, 5\44
        &lt;td&gt;g = 41\56&lt;br /&gt;
| | 3g-1\4
&lt;/td&gt;
| | 1\4-2g
        &lt;td&gt;g = 8\11, 11\15, 14\19&lt;br /&gt;
|-
&lt;/td&gt;
| | 9L11s
        &lt;td&gt;3g-2&lt;br /&gt;
| | 11\20 &lt; g &lt; 5\9
&lt;/td&gt;
| | g = 199\360
        &lt;td&gt;3-4g&lt;br /&gt;
| | g = 16\29, 21\38, 26\47
&lt;/td&gt;
| | 11g-6
    &lt;/tr&gt;
| | 5-9g
    &lt;tr&gt;
|-
        &lt;td&gt;5L2s&lt;br /&gt;
| | 10L10s
&lt;/td&gt;
| | 1\20 &lt; g &lt; 1\10
        &lt;td&gt;4\7 &amp;lt; g &amp;lt; 3\5&lt;br /&gt;
| | g = 3\40
&lt;/td&gt;
| | g = 2\30, 3\40, 4\50
        &lt;td&gt;g = 41\70&lt;br /&gt;
| | g
&lt;/td&gt;
| | 1\10-g
        &lt;td&gt;g = 7\12, 10\17, 13\22&lt;br /&gt;
|-
&lt;/td&gt;
| | 11L9s
        &lt;td&gt;2g-1&lt;br /&gt;
| | 9\20 &lt; g &lt; 5\11
&lt;/td&gt;
| | g = 199\440
        &lt;td&gt;3-5g&lt;br /&gt;
| | g = 14\31, 19\42, 24\53
&lt;/td&gt;
| | 9g-4
    &lt;/tr&gt;
| | 5-11g
    &lt;tr&gt;
|-
        &lt;td&gt;6L1s&lt;br /&gt;
| | 12L8s
&lt;/td&gt;
| | 3\20 &lt; g &lt; 2\12
        &lt;td&gt;1\7 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
| | g = 19\120
&lt;/td&gt;
| | g = 5\32, 7\44, 9\56
        &lt;td&gt;g = 13\84&lt;br /&gt;
| | 2g-1\4
&lt;/td&gt;
| | 1\2-3g
        &lt;td&gt;g = 2\13, 3\19, 4\25&lt;br /&gt;
|-
&lt;/td&gt;
| | 13L7s
        &lt;td&gt;g&lt;br /&gt;
| | 3\20 &lt; g &lt; 2\13
&lt;/td&gt;
| | g = 79\520
        &lt;td&gt;1-6g&lt;br /&gt;
| | g = 5\33, 7\46, 9\59
&lt;/td&gt;
| | 7g-1
    &lt;/tr&gt;
| | 2-13g
&lt;/table&gt;
|-
| | 14L6s
| | 7\20 &lt; g &lt; 5\14
| | g = 99\280
| | g = 12\34, 17\48, 22\62
| | 3g-1
| | 5\2-7g
|-
| | 15L5s
| | 1\20 &lt; g &lt; 1\15
| | g = 7\120
| | g = 2\35, 3\50, 4\65
| | g
| | 1\5-3g
|-
| | 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
|-
| | 18L2s
| | 1\20 &lt; g &lt; 1\18
| | g = 19\360
| | g = 2\38, 3\56, 4\74
| | g
| | 1\2-9g
|-
| | 19L1s
| | 1\20 &lt; g &lt; 1\19
| | g = 39\760
| | g = 2\39, 3\58, 4\77
| | g
| | -19g+1
|}


&lt;br /&gt;
=21=
&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;
{| class="wikitable"
    &lt;tr&gt;
|-
        &lt;th&gt;Large-small numbers&lt;br /&gt;
! | Large-small numbers
&lt;/th&gt;
! | Generator range
        &lt;th&gt;Generator range&lt;br /&gt;
! | <span style="background-color: #ffffff;">Midpoint</span>
&lt;/th&gt;
! | Boundaries of propriety, maximum expressiveness, diatonicity
        &lt;th&gt;Midpoint&lt;br /&gt;
! | Large step
&lt;/th&gt;
! | Small step
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
|-
&lt;/th&gt;
| | 1L20s
        &lt;th&gt;Large step&lt;br /&gt;
| | 20\21 &lt; g &lt; 1
&lt;/th&gt;
| | g = 41\42
        &lt;th&gt;Small step&lt;br /&gt;
| | g = ''21\22, 22\23, 23\24''
&lt;/th&gt;
| | 20g-19
    &lt;/tr&gt;
| | 1-g
    &lt;tr&gt;
|-
        &lt;td&gt;1L7s&lt;br /&gt;
| | 2L19s
&lt;/td&gt;
| | 10\21 &lt; g &lt; 1\2
        &lt;td&gt;7\8 &amp;lt; g &amp;lt; 1&lt;br /&gt;
| | g = 41\84
&lt;/td&gt;
| | g = ''11\23, 12\25'', 13\27
        &lt;td&gt;g = 15\16&lt;br /&gt;
| | 19g-9
&lt;/td&gt;
| | 1-2g
        &lt;td&gt;g = 8\9, 9\10, 10\11&lt;br /&gt;
|-
&lt;/td&gt;
| | 3L18s
        &lt;td&gt;7g-6&lt;br /&gt;
| | 6\21 &lt; g &lt; 1\3
&lt;/td&gt;
| | g = 13\42
        &lt;td&gt;1-g&lt;br /&gt;
| | g = ''7\24'', 8\27, 9\30
&lt;/td&gt;
| | 6g-5\3
    &lt;/tr&gt;
| | 1\3-g
    &lt;tr&gt;
|-
        &lt;td&gt;2L6s&lt;br /&gt;
| | 4L17s
&lt;/td&gt;
| | 5\21 &lt; g &lt; 1\4
        &lt;td&gt;3\8 &amp;lt; g &amp;lt; 1\2&lt;br /&gt;
| | g = 41\168
&lt;/td&gt;
| | g = ''6\25'', 7\29, 8\33
        &lt;td&gt;g = 7\16&lt;br /&gt;
| | 17g-2
&lt;/td&gt;
| | 1-4g
        &lt;td&gt;g = 4\10, 5\12, 6\14&lt;br /&gt;
|-
&lt;/td&gt;
| | 5L16s
        &lt;td&gt;3g-1&lt;br /&gt;
| | 4\21 &lt; g &lt; 1\5
&lt;/td&gt;
| | g = 41\210
        &lt;td&gt;1\2-g&lt;br /&gt;
| | g = 5\26, 6\31, 7\36
&lt;/td&gt;
| | 16g-3
    &lt;/tr&gt;
| | 1-5g
    &lt;tr&gt;
|-
        &lt;td&gt;3L5s&lt;br /&gt;
| | 6L15s
&lt;/td&gt;
| | 3\21 &lt; g &lt; 1\6
        &lt;td&gt;5\8 &amp;lt; g &amp;lt; 2\3&lt;br /&gt;
| | g = 13\84
&lt;/td&gt;
| | g = 4\27, 5\33, 6\39
        &lt;td&gt;g = 31\48&lt;br /&gt;
| | 5g-2\3
&lt;/td&gt;
| | 1\3-2g
        &lt;td&gt;g = 7\11, 9\14, 11\17&lt;br /&gt;
|-
&lt;/td&gt;
| | 7L14s
        &lt;td&gt;5g-3&lt;br /&gt;
| | 2\21 &lt; g &lt; 1\7
&lt;/td&gt;
| | g = 5\42
        &lt;td&gt;2-3g&lt;br /&gt;
| | g = 3\28, 4\35, 5\42
&lt;/td&gt;
| | 2g-1\7
    &lt;/tr&gt;
| | 1\7-g
    &lt;tr&gt;
|-
        &lt;td&gt;4L4s&lt;br /&gt;
| | 8L13s
&lt;/td&gt;
| | 13\21 &lt; g &lt; 5\8
        &lt;td&gt;1\8 &amp;lt; g &amp;lt; 1\4&lt;br /&gt;
| | g = 209\336
&lt;/td&gt;
| | g = 18\29, 23\37, 28\45
        &lt;td&gt;g = 3\16&lt;br /&gt;
| | 13g-8
&lt;/td&gt;
| | 5-8g
        &lt;td&gt;g = 2\12, 3\16, 4\20&lt;br /&gt;
|-
&lt;/td&gt;
| | 9L12s
        &lt;td&gt;g&lt;br /&gt;
| | 2\21 &lt; g &lt; 1\9
&lt;/td&gt;
| | g = 13\126
        &lt;td&gt;1\4-g&lt;br /&gt;
| | g = 3\30, 4\39, 5\48
&lt;/td&gt;
| | 4g-1\3
    &lt;/tr&gt;
| | 1\3-3g
    &lt;tr&gt;
|-
        &lt;td&gt;5L3s&lt;br /&gt;
| | 10L11s
&lt;/td&gt;
| | 2\21 &lt; g &lt; 1\10
        &lt;td&gt;3\8 &amp;lt; g &amp;lt; 2\5&lt;br /&gt;
| | g = 41\420
&lt;/td&gt;
| | g = 3\31, 4\41, 5\51
        &lt;td&gt;g = 31\80&lt;br /&gt;
| | 11g-1
&lt;/td&gt;
| | 1-10g
        &lt;td&gt;g = 5\13, 7\18, 9\23&lt;br /&gt;
|-
&lt;/td&gt;
| | 11L10s
        &lt;td&gt;3g-1&lt;br /&gt;
| | 19\21 &lt; g &lt; 10\11
&lt;/td&gt;
| | g = 419\462
        &lt;td&gt;2-5g&lt;br /&gt;
| | g = 29\32, 39\43, 49\54
&lt;/td&gt;
| | 10g-9
    &lt;/tr&gt;
| | 10-11g
    &lt;tr&gt;
|-
        &lt;td&gt;6L2s&lt;br /&gt;
| | 12L9s
&lt;/td&gt;
| | 5\21 &lt; g &lt; 3\12
        &lt;td&gt;1\8 &amp;lt; g &amp;lt; 1\6&lt;br /&gt;
| | g = 41\168
&lt;/td&gt;
| | g = 8\33, 11\45, 14\57
        &lt;td&gt;g = 7\48&lt;br /&gt;
| | 3g-2\3
&lt;/td&gt;
| | 1-4g
        &lt;td&gt;g = 2\14, 3\20, 4\26&lt;br /&gt;
|-
&lt;/td&gt;
| | 13L8s
        &lt;td&gt;g&lt;br /&gt;
| | 8\21 &lt; g &lt; 5\13
&lt;/td&gt;
| | g = 209\546
        &lt;td&gt;1\2-3g&lt;br /&gt;
| | g = 13\34, 18\47, 23\70
&lt;/td&gt;
| | 8g-3
    &lt;/tr&gt;
| | 5-13g
    &lt;tr&gt;
|-
        &lt;td&gt;7L1s&lt;br /&gt;
| | 14L7s
&lt;/td&gt;
| | 1\21 &lt; g &lt; 1\14
        &lt;td&gt;1\8 &amp;lt; g &amp;lt; 1\7&lt;br /&gt;
| | g = 5\84
&lt;/td&gt;
| | g = 2\35, 3\49, 4\63
        &lt;td&gt;g = 15\112&lt;br /&gt;
| | g
&lt;/td&gt;
| | 1\7-2g
        &lt;td&gt;g = 2\15, 3\22, 4\29&lt;br /&gt;
|-
&lt;/td&gt;
| | 15L6s
        &lt;td&gt;g&lt;br /&gt;
| | 4\21 &lt; g &lt; 3\15
&lt;/td&gt;
| | g = 41\210
        &lt;td&gt;1-7g&lt;br /&gt;
| | g = 7\36, 10\51, 13\66
&lt;/td&gt;
| | 2g-1\3
    &lt;/tr&gt;
| | 1-5g
&lt;/table&gt;
|-
| | 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
|-
| | 18L3s
| | 1\21 &lt; g &lt; 1\18
| | g = 13\252
| | g = 2\39, 3\57, 4\75
| | g
| | 1\3-6g
|-
| | 19L2s
| | 11\21 &lt; g &lt; 10\19
| | g = 419\798
| | g = 21\40, 31\59, 41\78
| | 2g-1
| | 10-19g
|-
| | 20L1s
| | 1\21 &lt; g &lt; 1\20
| | g = 41\840
| | g = 2\41, 3\61, 4/81
| | g
| | 1-20g
|}


&lt;br /&gt;
=22=
&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;


{| class="wikitable"
|-
! | Large-small numbers
! | Generator range
! | <span style="background-color: #ffffff; color: #000000;">Midpoint</span>
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Large step
! | Small step
|-
| | 1L21s
| | 21\22 &lt; g &lt; 1
| | g = 43\44
| | g = ''22\23,'' ''23\24,'' ''24/25''
| | 21g-20
| | 1-g
|-
| | 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
|-
| | 4L18s
| | 5\22 &lt; g &lt; 1\4
| | g = 21\88
| | g = ''6\26'', 7\30, 8\34
| | 9g-2
| | 1\2-2g
|-
| | 5L17s
| | 13\22 &lt; g &lt; 3\5
| | g = 131\220
| | g = 16\27, 19\32, 22\37
| | 17g-10
| | 3-5g
|-
| | 6L16s
| | 7\22 &lt; g &lt; 2\6
| | g = 43\132
| | g = 9\28, 11\34, 13\40
| | 8g-5\2
| | 1-3g
|-
| | 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
|-
| | 9L13s
| | 17\22 &lt; g &lt; 7\9
| | g = 307\396
| | g = 24\31, 31\40, 38\49
| | 13g-10
| | 7-9g
|-
| | 10L12s
| | 2\22 &lt; g &lt; 1\10
| | g = 21\220
| | g = 3\32, 4\42, 5\52
| | 6g-1\2
| | 1\2-5g
|-
| | 11L11s
| | 1\22 &lt; g &lt; 1\11
| | g = 3\44
| | g = 2\33, 3\44, 4\55
| | g
| | 1\11-g
|-
| | 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
|-
| | 14L8s
| | 3\22 &lt; g &lt; 2\14
| | g = 43\308
| | g = 5\36, 7\50, 9\64
| | 4g-1\2
| | 1-7g
|-
| | 15L7s
| | 19\22 &lt; g &lt; 13\15
| | g = 571\660
| | g = 32\37, 45\52, 58\67
| | 7g-6
| | 13-15g
|-
| | 16L6s
| | 4\22 &lt; g &lt; 3\16
| | g = 65\352
| | g = 7\38, 10\54, 13\70
| | 3g-1\2
| | 3\2-8g
|-
| | 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
|-
| | 19L3s
| | 15\22 &lt; g &lt; 13\19
| | g = 571\836
| | g = 28\41, 41\60, 54\79
| | 3g-2
| | 13-19g
|-
| | 20L2s
| | 1\22 &lt; g &lt; 1\20
| | g = 21\440
| | g = 2\42, 3\62, 4\72
| | g
| | 1\2-10g
|-
| | 21L1s
| | 1\22 &lt; g &lt; 1\21
| | g = 43\924
| | g = 2\43, 3\64, 4\85
| | g
| | 1-21g
|}


&lt;table class="wiki_table"&gt;
=23=
    &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;
{| class="wikitable"
&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;
|-
! | Large-small numbers
! | Generator range
! | <span style="background-color: #ffffff;">Midpoint</span>
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Large step
! | Small step
|-
| | 1L22s
| | <span style="line-height: 15.6000003814697px;">22\23 &lt; g &lt; 1</span>
| | 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
|-
| | 3L20s
| | 15\23 &lt; g &lt; 2\3
| | g = 91\138
| | g = ''17\26'', 19\29, 21\32
| | 20g-13
| | 1-3g
|-
| | 4L19s
| | 17\23 &lt; g &lt; 3\4
| | g = 137\184
| | g = ''20\27'', 23\31, 26\35
| | 19g-14
| | 3-4g
|-
| | 5L18s
| | 9\23 &lt; g &lt; 2\5
| | g = 91\230
| | g = 11\28, 13\33, 15\38
| | 18g-7
| | 2-5g
|-
| | 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,<span style="line-height: 15.6000003814697px;"> 21\37,</span> 25\44
| | 16g-9
| | 4-7g
|-
| | 8L15s
| | 20\23 &lt; g &lt; 7\8
| | g = 321\368
| | g = 27\31, 34\39, 41\47
| | 15g-13
| | 7-8g
|-
| | 9L14s
| | 5\23 &lt; g &lt; 2\9
| | g = 91\414
| | g = 7\32, 9\41, 11\50
| | 14g-7
| | <span style="line-height: 15.6000003814697px;">11-9g</span>
|-
| | 10L13s
| | 16\23 &lt; g &lt; 7\10
| | g = 321\460
| | g = 23\33, 30\43, 37\53
| | 13g-9
| | 7-10g
|-
| | 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
| | <span style="line-height: 15.6000003814697px;">11g-10</span>
| | 11-12g
|-
| | 13L10s
| | 7\23 &lt; g &lt; 4\13
| | g = 183\598
| | g = 11\36, 15\49, 19\62
| | 10g-3
| | 4-13g
|-
| | 14L9s
| | 18\23 &lt; g &lt; 11\14
| | g = 505\644
| | g = 29\37, 40\51, 51\65
| | 9g-7
| | 11-14g
|-
| | 15L8s
| | 3\23 &lt; g &lt; 2\15
| | g = 91\690
| | g = 5\38, 7\53, 9\68
| | 8g-1
| | 2-15g
|-
| | 16L7s
| | 10\23 &lt; g &lt; 7\16
| | g = 321\736
| | g = 17\39, 24\55, 31\71
| | 7g-3
| | <span style="line-height: 15.6000003814697px;">7-16g</span>
|-
| | 17L6s
| | 4\23 &lt; g &lt; 3\17
| | g = 137\782
| | g = 7\40, 10\57, 13\74
| | 6g-1
| | 3-17g
|-
| | 18L5s
| | 14\23 &lt; g &lt; 11\18
| | g = 505\828
| | g = 25\41, 36\59, 47\77
| | 5g-4
| | 11-18g
|-
| | 19L4s
| | 6\23 &lt; g &lt; 5\19
| | g = 229\874
| | g = 11\42, 16\61, 21\80
| | 4g-1
| | 5-19g
|-
| | 20L3s
| | 8\23 &lt; g &lt; 7\20
| | g = 321\920
| | g = 15\43, 22\63, 29\83
| | 3g-1
| | 13-20g
|-
| | 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
|}


&lt;table class="wiki_table"&gt;
=24=
    &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;
{| class="wikitable"
&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;
|-
! | Large-small numbers
! | Generator range
! | <span style="background-color: #ffffff;">Midpoint</span>
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Large step
! | Small step
|-
| | 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
|-
| | 3L21s
| | 7\24 &lt; g &lt; 1\3
| | g = 15\48
| | g = ''8\27'', 9\30, 10\33
| | 2/3-2g
| | g-1/3
|-
| | 4L20s
| | 5\24 &lt; g &lt; 1\4
| | g = 11\48
| | g = ''6\28'', 7\32, 8\36
| | 5g-1
| | 1/4-g
|-
| | 5L19s
| | 19\24 &lt; g &lt; 4\5
| | g = 191\240
| | g = ''23\29'', 27\34, 31\39
| | 19g-15
| | 4-5g
|-
| | 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
|-
| | 8L16s
| | 2\24 &lt; g &lt; 1\8
| | g = 5\48
| | g = 3\32, 4\40, 5\48
| | 2g-1\8
| | 1\8-g
|-
| | 9L15s
| | 5\24 &lt; g &lt; 2\9
| | g = 31\144
| | g = 7\33, 9\42, 11\51
| | 5g-1
| | 2\3-3g
|-
| | 10L14s
| | 7\24 &lt; g &lt; 3\10
| | g = 71\240
| | g = 10\34, 13\44, 16\54
| | 7g-2
| | 3\2-5g
|-
| | 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
|-
| | 13L11s
| | 11\24 &lt; g &lt; 6\13
| | g = 287\624
| | g = 17\37, 23\50, 29\63
| | 11g-5
| | 6-13g
|-
| | 14L10s
| | 17\24 &lt; g &lt; 10\14
| | g = 239\336
| | g = 27\38, 37\52, 47\66
| | 3\2-5g
| | 7g-2
|-
| | 15L9s
| | 3\24 &lt; g &lt; 2\15
| | g = 31\240
| | g = 5\39, 7\54, 9\69
| | 3g-1\3
| | 2\3-5g
|-
| | 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
|-
| | 18L6s
| | 1\24 &lt; g &lt; 1\18
| | g = 7\144
| | g = 2\42, 3\60, 4\78
| | g
| | 1\6-3g
|-
| | 19L5s
| | 5\24 &lt; g &lt; 4\19
| | g = 191\912
| | g = 9\43, 13\62, 17\81
| | 5g-5
| | 4-19g
|-
| | 20L4s
| | 1\24 &lt; g &lt; 1\20
| | g = 11\240
| | g = 2\44, 3\64, 4\84
| | g
| | 1\4-5g
|-
| | 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
|-
| | 23L1s
| | 1\24 &lt; g &lt; 1\23
| | g = 47\1104
| | g = 2\47, 3\70, 4\93
| | g
| | 1-23g
|}


&lt;table class="wiki_table"&gt;
=25=
    &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;
{| class="wikitable"
&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;
|-
! | Large-small numbers
! | Generator range
! | <span style="background-color: #ffffff;">Midpoint</span>
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Large step
! | Small step
|-
| | 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
|-
| | 3L22s
| | 8\25 &lt; g &lt; 1\3
| | g = 49\150
| | g = ''9\28'', 10\31, 11\34
| | 22g-7
| | 1-3g
|-
| | 4L21s
| | 6\25 &lt; g &lt; 1\4
| | g = 49\200
| | g = ''7\29'', 8\33, 9\37
| | 21g-5
| | 1-4g
|-
| | 5L20s
| | 4\25 &lt; g &lt; 1\5
| | g = 9\50
| | g = ''5\30'', 6\35, 7\40
| | 4g-3\5
| | 1\5-g
|-
| | 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
|-
| | 8L17s
| | 3\25 &lt; g &lt; 1\8
| | g = 49\400
| | g = 4\33, 5\41, 6\47
| | <span style="line-height: 15.6000003814697px;">17g-2</span>
| | 1-8g
|-
| | 9L16s
| | 11\25 &lt; g &lt; 4\9
| | g = 199\450
| | g = 15\34, 19\43, 23\52
| | 16g-7
| | <span style="line-height: 15.6000003814697px;">-9g+4</span>
|-
| | 10L15s
| | 2\25 &lt; g &lt; 1\10
| | g = 9\100
| | g = 3\35, 4\45, 5\55
| | 3g-1\5
| | 1\5-2g
|-
| | 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
|-
| | 13L12s
| | 23\25 &lt; g &lt; 12\13
| | g = 599\650
| | g = 35\38, 47\51, 59\64
| | 12g-11
| | 12-13g
|-
| | 14L11s
| | 16\25 &lt; g &lt; 9\14
| | g = 449\700
| | g = 25\39, 34\53, 43\67
| | 11g-7
| | -14g+9
|-
| | 15L10s
| | 3\25 &lt; g &lt; 2\15
| | g = 19\150
| | g = 5\40, 7\55, 9\70
| | 2g-1\5
| | 2\5-3g
|-
| | 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
|-
| | 18L7s
| | 18\25 &lt; g &lt; 13\18
| | g = 649\900
| | g = 31\43, 44\61, 57\79
| | 7g-5
| | 13-18g
|-
| | 19L6s
| | 21\25 &lt; g &lt; 16\19
| | g = 799\950
| | g = 37\44, 53\63, 69\82
| | 6g-5
| | 16-19g
|-
| | 20L5s
| | 1\25 &lt; g &lt; 1\20
| | g = 9\200
| | g = 2\45, 3\65, 4\85
| | g
| | 1\5-4g
|-
| | 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
|-
| | 23L2s
| | 13\25 &lt; g &lt; 12\23
| | g = 599\1150
| | g = 25\48, 37\71, 49\94
| | 2g-1
| | 11-23g
|-
| | 24L1s
| | 1\25 &lt; g &lt; 1\24
| | g = 49\1200
| | g = 2\49, 3\73, 4\97
| | g
| | 1-24g
|}


&lt;table class="wiki_table"&gt;
=26=
    &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;
{| class="wikitable"
&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;
|-
! | Large-small numbers
! | Generator range
! | <span style="background-color: #ffffff;">Midpoint</span>
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Large step
! | Small step
|-
| | 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
|-
| | 3L23s
| | 17\26 &lt; g &lt; 2\3
| | g = 103\156
| | g = ''19\29'', 21\32, 23\35
| | 23g-15
| | 2-3g
|-
| | 4L22s
| | 6\26 &lt; g &lt; 1\4
| | g = 25\104
| | g = ''7\30'', 8\34, 9\38
| | 11g-5\2
| | <span style="line-height: 15.6000003814697px;">1\2-2g</span>
|-
| | 5L21s
| | 5\26 &lt; g &lt; 1\5
| | g = 51\260
| | g = ''6\31'', 7\36, 8\41
| | 21g-4
| | 1-5g
|-
| | 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
|-
| | 8L18s
| | 3\26 &lt; g &lt; 1\8
| | g = 25\208
| | g = 4\34, 5\42, 6\50
| | 9g-1
| | 1\2-4g
|-
| | 9L17s
| | 23\26 &lt; g &lt; 8\9
| | g = 415\468
| | g = 31\35, 39\44, 47\53
| | 17g-15
| | 8-9g
|-
| | 10L16s
| | 5\26 &lt; g &lt; 2\10
| | g = 51\260
| | g = 7\36, 9\46, 11\56
| | 8g-3\2
| | 1-5g
|-
| | 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
|-
| | 13L13s
| | 1\26 &lt; g &lt; 1\13
| | g = 3\52
| | g = 2\39, 3\52, 4\65
| | g
| | 1\13-g
|-
| | <span style="line-height: 15.6000003814697px;">14L12s</span>
| | 11\26 &lt; g &lt; 6\14
| | g = 155\364
| | g = 17\40, 23\54, 29\68
| | 6g-5\2
| | 3-7g
|-
| | <span style="line-height: 15.6000003814697px;">15L11s</span>
| | 19\26 &lt; g &lt; 11\15
| | g = 571\780
| | g = 30\41, 41\56, 52\71
| | 11g-8
| | 11-15g
|-
| | <span style="line-height: 15.6000003814697px;">16L10s</span>
| | 8\26 &lt; g &lt; 5\16
| | g = 129\416
| | g = 13\42, 18\58, 23\74
| | 13\2-8g
| | 5g-4
|-
| | <span style="line-height: 15.6000003814697px;">17L9s</span>
| | 3\26 &lt; g &lt; 2\17
| | g = 103\884
| | g = 5\43, 7\60, 9\77
| | 9g-1
| | 2-17g
|-
| | <span style="line-height: 15.6000003814697px;">18L</span>8s
| | 10\26 &lt; g &lt; 7\18
| | g = 181\468
| | g = 17\44, 24\62, 31\80
| | 4g-7\2
| | 7-9g
|-
| | <span style="line-height: 15.6000003814697px;">19L</span>7s
| | 15\26 &lt; g &lt; 11\19
| | g = 571\988
| | g = 26\45, 37\64, 48\83
| | 7g-4
| | 11-19g
|-
| | <span style="line-height: 15.6000003814697px;">20L</span>6s
| | 9\26 &lt; g &lt; 7\20
| | g = 181\520
| | g = 16\46, 23\66, 30\86
| | 3g-1
| | 7\2-10g
|-
| | <span style="line-height: 15.6000003814697px;">21L</span>5s
| | 21\26 &lt; g &lt; 17\21
| | g = 883\1092
| | g = 38\47, 55\68, 72\89
| | 5g-4
| | 16-21g
|-
| | <span style="line-height: 15.6000003814697px;">22L</span>4s
| | 7\26 &lt; g &lt; 6\22
| | g = 155\572
| | g = 13\48, 19\70, 25\92
| | 2g-1\2
| | 3-11g
|-
| | <span style="line-height: 15.6000003814697px;">23L</span>3s
| | 9\26 &lt; g &lt; 8\23
| | g = 415\1196
| | g = 17\49, 25\72, 33/95
| | 3g-1
| | 8-23g
|-
| | <span style="line-height: 15.6000003814697px;">24L</span>2s
| | 1\26 &lt; g &lt; 1\24
| | g = 25\312
| | g = 2\50, 3\74, 4\98
| | g
| | 1\2-12g
|-
| | 25L1s
| | 1\26 &lt; g &lt; 1\25
| | g = 51\1300
| | g = 2\51, 3\76, 4\101
| | g
| | 1-25g
|}


&lt;table class="wiki_table"&gt;
=27=
    &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;
{| class="wikitable"
&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;
|-
! | Large-small numbers
! | Generator range
! | <span style="background-color: #ffffff;">Midpoint</span>
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Large step
! | Small step
|-
| | 1L26s
| | 26\27 &lt; g &lt; 1
| | g = 53\54
| | <span style="line-height: 15.6000003814697px;">g = ''27\28,''</span> ''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
|-
| | 3L24s
| | 8\27 &lt; g &lt; 1\3
| | g = 17\54
| | g = ''9\30'', 10\33, 11\36
| | 8g-7\3
| | 1-3g
|-
| | 4L23s
| | 20\27 &lt; g &lt; 3\4
| | g = 161\216
| | g = ''23\31'', 26\35, 29\39
| | 23g-17
| | 3-4g
|-
| | 5L22s
| | 16\27 &lt; g &lt; 3\5
| | g = 161\270
| | g = ''19\32'', 22\37, 25\42
| | 22g-13
| | 3-5g
|-
| | 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
|-
| | 8L19s
| | 10\27 &lt; g &lt; 3\8
| | g = 161\432
| | g = 13\35, 16\43, 19\51
| | 19g-7
| | 3-8g
|-
| | 9L18s
| | 2\27 &lt; g &lt; 1\9
| | g = 5\54
| | g = 3\36, 4\45, 5\54
| | 2g-1\9
| | 1\9-g
|-
| | 10L17s
| | 8\27 &lt; g &lt; 3\10
| | g = 161\540
| | g = 11\37, 14\47, 17\57
| | 17g-5
| | 3-10g
|-
| | 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
|-
| | 13L14s
| | 2\27 &lt; g &lt; 1\13
| | g = 53\702
| | g = 3\40, 4\53, 5\66
| | 14g-1
| | 1-13g
|-
| | 14L13s
| | 25\27 &lt; g &lt; 13\14
| | g = 701\756
| | g = 38\41, 51\55, 64\69
| | 13g-12
| | 13-14g
|-
| | 15L12s
| | 7\27 &lt; g &lt; 4\15
| | g = 71\270
| | g = 11\42, 15\57, 19\72
| | 4g-4
| | 14\3-5g
|-
| | 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
|-
| | 18L9s
| | 1\27 &lt; g &lt; 1\18
| | g = 5\108
| | g = 2\45, 3\63, 4\81
| | g
| | 1\9-2g
|-
| | 19L8s
| | 17\27 &lt; g &lt; 12\19
| | g = 647\1026
| | g = 29\46, 41\65, 53\84
| | 8g-5
| | 12-19g
|-
| | 20L7s
| | 4\27 &lt; g &lt; 3\20
| | g = 161\1080
| | g = 7\47, 10\67, 13\87
| | 7g-1
| | 3-20g
|-
| | 21L6s
| | 5\27 &lt; g &lt; 4\21
| | g = 71\378
| | g = 9\48, 13\69, 17\90
| | 2g-1\3
| | 4-7g
|-
| | 22L5s
| | <span style="line-height: 15.6000003814697px;">11</span>\27 &lt; g &lt; 9\22
| | g = 485\1188
| | g = 20\49, 29\71, 38\93
| | 5g-2
| | 9-22g
|-
| | 23L4s
| | 7\27 &lt; g &lt; 6\23
| | g = 323\1242
| | g = 13\50, 19\73, 25\96
| | 4g-1
| | 6-23g
|-
| | 24L3s
| | 1\27 &lt; g &lt; 1\24
| | g = 17\432
| | g = 2\51, 3\75, 4\99
| | g
| | 1\3-8g
|-
| | 25L2s
| | 14\27 &lt; g &lt; 13\25
| | g = 701\1350
| | g = 27\52, 40\77, 53\102
| | 2g-1
| | 13-25g
|-
| | 26L1s
| | 1\27 &lt; g &lt; 1\26
| | g = 53\1404
| | g = 2\53, 3\79, 4\105
| | g
| | 1-26g
|}


&lt;table class="wiki_table"&gt;
=28=
    &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;
{| class="wikitable"
&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;
|-
! | Large-small numbers
! | Generator range
! | <span style="background-color: #ffffff;">Midpoint</span>
! | Boundaries of propriety, maximum expressiveness, diatonicity
! | Large step
! | Small step
|-
| | 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
|-
| | 3L25s
| | 9\28 &lt; g &lt; 1\3
| | g = 55\168
| | g = ''10\31'',<span style="line-height: 15.6000003814697px;"> 11\34,</span> 12\37
| | 25g-8
| | 1-3g
|-
| | 4L24s
| | 6\28 &lt; g &lt; 1\4
| | g = 13\56
| | g = ''7\32'', 8\36, 9\40
| | 6g-5\4
| | 1\4-g
|-
| | 5L23s
| | 11\28 &lt; g &lt; 2\5
| | g = 111\280
| | g = ''13\33'', 15\38, 17\43
| | 23g-9
| | 2-5g
|-
| | 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
|-
| | 8L20s
| | 3\28 &lt; g &lt; 1\8
| | g = 13\112
| | g = 4\36, 5\44, 6\52
| | 5g-1\2
| | 1\4-2g
|-
| | 9L19s
| | 3\28 &lt; g &lt; 1\9
| | g = 55\504
| | g = 4\37, 5\46, 6\55
| | 19g-2
| | 1-9g
|-
| | 10L18s
| | 11\28 &lt; g &lt; 4\10
| | g = 111\280
| | g = 15\38, 19\48, 23\58
| | 4g-7\2
| | 2-5g
|-
| | 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
|-
| | 13L15s
| | 15\28 &lt; g &lt; 7\13
| | g = 391\728
| | g = 22\41, 29\54, 36\67
| | 15g-8
| | 7-13g
|-
| | 14L14s
| | 1\28 &lt; g &lt; 1\14
| | g = 3\56
| | g = 2\42, 3\56, 4\70
| | g
| | 1\14-g
|-
| | <span style="line-height: 15.6000003814697px;">15L13s</span>
| | 13\28 &lt; g &lt; 7\15
| | g = 391\840
| | g = 20\43, 27\58, 34\73
| | 13g-6
| | 7-15g
|-
| | <span style="line-height: 15.6000003814697px;">16L12s</span>
| | 5\28 &lt; g &lt; 3\16
| | g = 41\224
| | g = 8\44, 11\60, 14\76
| | 3g-1\2
| | 3\4-4g
|-
| | <span style="line-height: 15.6000003814697px;">17L11s</span>
| | 23\28 &lt; g &lt; 14\17
| | g = 783\952
| | g = 37\45, 51\62, 65\79
| | 11g-9
| | 13-17g
|-
| | <span style="line-height: 15.6000003814697px;">18L10s</span>
| | 3\28 &lt; g &lt; 2\18
| | g = 55\504
| | g = 5\46, 7\64, 9\82
| | 5g-1\2
| | 1-9g
|-
| | <span style="line-height: 15.6000003814697px;">19L9s</span>
| | 25\28 &lt; g &lt; 17\19
| | g = 951\1064
| | g = 42\47, 59\66, 76\85
| | 9g-8
| | 17-19g
|-
| | <span style="line-height: 15.6000003814697px;">20L</span>8s
| | 4\28 &lt; g &lt; 3\20
| | g = 41\280
| | g = 7\48, 10\68, 13\88
| | 2g-1\4
| | 3\4-5g
|-
| | <span style="line-height: 15.6000003814697px;">21L7s</span>
| | 1\28 &lt; g &lt; 1\21
| | g = 7\168
| | g = 2\49, 3\70, 4\91
| | g
| | <span style="line-height: 15.6000003814697px;">1\7-3g</span>
|-
| | <span style="line-height: 15.6000003814697px;">22L</span>6s
| | 5\28 &lt; g &lt; 4\22
| | g = 111\616
| | g = 9\50, 13\72, 17\94
| | 3g-1\2
| | 2-11g
|-
| | <span style="line-height: 15.6000003814697px;">23L</span>5s
| | 17\28 &lt; g &lt; 14\23
| | g = 783\1288
| | g = 31\51, 45\74, 59\97
| | 5g-3
| | 14-23g
|-
| | <span style="line-height: 15.6000003814697px;">24L</span>4s
| | 1\28 &lt; g &lt; 1\24
| | g = 13\336
| | g = 2\52, 3\76, 4\100
| | g
| | 1\4-6g
|-
| | <span style="line-height: 15.6000003814697px;">25L</span>3s
| | 19\28 &lt; g &lt; 17\25
| | g = 951\1400
| | g = 36\53, 53\78, 70\103
| | 3g-2
| | 17-25g
|-
| | <span style="line-height: 15.6000003814697px;">26L</span>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
|}


&lt;table class="wiki_table"&gt;
=29=
    &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;
{| class="wikitable"
&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;
|-
! | Large-small numbers
 
! | Generator range
&lt;table class="wiki_table"&gt;
! | <span style="background-color: #ffffff;">Midpoint</span>
    &lt;tr&gt;
! | Boundaries of propriety, maximum expressiveness, diatonicity
        &lt;th&gt;Large-small numbers&lt;br /&gt;
! | Large step
&lt;/th&gt;
! | Small step
        &lt;th&gt;Generator range&lt;br /&gt;
|-
&lt;/th&gt;
| | 1L28s
        &lt;th&gt;Midpoint&lt;br /&gt;
| | 28\29 &lt; g &lt; 1
&lt;/th&gt;
| | g = 57\58
        &lt;th&gt;Boundaries of propriety, maximum expressiveness, diatonicity&lt;br /&gt;
| | g = ''29\30, 30\31, 31\32''
&lt;/th&gt;
| | 28g-27
        &lt;th&gt;Large step&lt;br /&gt;
| | 1-g
&lt;/th&gt;
|-
        &lt;th&gt;Small step&lt;br /&gt;
| | 2L27s
&lt;/th&gt;
| | 14\29 &lt; g &lt; 1\2
    &lt;/tr&gt;
| | g = 57\116
    &lt;tr&gt;
| | g = ''15\31'', ''16\33'', 17\35
        &lt;td&gt;1L15s&lt;br /&gt;
| | 27g-13
&lt;/td&gt;
| | 1-2g
        &lt;td&gt;15\16 &amp;lt; g &amp;lt; 1&lt;br /&gt;
|-
&lt;/td&gt;
| | 3L26s
        &lt;td&gt;g = 31\32&lt;br /&gt;
| | 19\
&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 /&
Retrieved from "https://en.xen.wiki/w/Generator_ranges_of_MOS"