Generator ranges of MOS: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 591525176 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 594747296 - Original comment: ** |
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<h2>IMPORTED REVISION FROM WIKISPACES</h2> | <h2>IMPORTED REVISION FROM WIKISPACES</h2> | ||
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br> | ||
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016- | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-08 19:37:10 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>594747296</tt>.<br> | ||
: The revision comment was: <tt></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> | 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> | <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. | <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. The fourth column gives the range of propriety. The fifth column gives the range of maximum expressiveness. Finally, the sixth column gives the top of the range of 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 > 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. | 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 > 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. | ||
=2, 3, 4= | =2, 3, 4= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ Top | ||
|| 1L1s || 1\2 < g < 1 || g = 3\4 || 1\2 < g < 2\3 || 2\3 < g < 3\4 || g || 1-g || | range of diatonicity ||~ Large step ||~ Small step || | ||
|| 1L2s || 2\3 < g < 1 || g = 5\6 || 2\3 < g < 3\4 || 3\4 < g < 4\5 || 2g-1 || 1-g || | || 1L1s || 1\2 < g < 1 || g = 3\4 || 1\2 < g < 2\3 || 2\3 < g < 3\4 || 3\4 < g < 4\5 || g || 1-g || | ||
|| 2L1s || 1\3 < g < 1\2 || g = 5\12 || 1\3 < g < 2\5 || 2\5 < g < 3\7 || g || 1-2g || | || 1L2s || 2\3 < g < 1 || g = 5\6 || 2\3 < g < 3\4 || 3\4 < g < 4\5 || 4\5 < g < 5\6 || 2g-1 || 1-g || | ||
|| 1L3s || 3\4 < g < 1 || g = 7\8 || 3\4 < g < 4\5 || 4\5 < g < 5\6 || 3g-2 || 1-g || | || 2L1s || 1\3 < g < 1\2 || g = 5\12 || 1\3 < g < 2\5 || 2\5 < g < 3\7 || 3\7 < g < 4\9 || g || 1-2g || | ||
|| 2L2s || 1\4 < g < 1\2 || g = 3\8 || 1\4 < g < 2\6 | || 1L3s || 3\4 < g < 1 || g = 7\8 || 3\4 < g < 4\5 || 4\5 < g < 5\6 || 5\6 < g < 6\7 || 3g-2 || 1-g || | ||
|| 3L1s || 1\4 < g < 1\3 || g = 7\24 || 1\4 < g < 2\7 || 2\7 < g < 3\10 || g || 1-3g || | || 2L2s || 1\4 < g < 1\2 || g = 3\8 || 1\4 < g < 2\6 || 2\6 < g < 3\8 || 3\8 < g < 4\10 || g || 1\2-g || | ||
|| 3L1s || 1\4 < g < 1\3 || g = 7\24 || 1\4 < g < 2\7 || 2\7 < g < 3\10 || 3\10 < g < 4\13 || g || 1-3g || | |||
=5= | =5= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ Top | ||
|| 1L4s || 4\5 < g < 1 || g = 9\10 || 4\5 < g < 5\6 || 5\6 < g < 6\7 || -3+4g || -g+1 || | range of diatonicity ||~ Large step ||~ Small step || | ||
|| 2L3s || 2\5 < g < 1\2 || g = 9\20 || 2\5 < g < 3\7 || 3\7 < g < 4\9 || -1+3g || -2g+1 || | || 1L4s || 4\5 < g < 1 || g = 9\10 || 4\5 < g < 5\6 || 5\6 < g < 6\7 || 6\7 < g < 7\8 || -3+4g || -g+1 || | ||
|| 3L2s || 3\5 < g < 2\3 || g = 19\30 || 3\5 < g < 5\8 || 5\8 < g < 7\11 || -1+2g || -3g+2 || | || 2L3s || 2\5 < g < 1\2 || g = 9\20 || 2\5 < g < 3\7 || 3\7 < g < 4\9 || 4\9 < g < 5\11 || -1+3g || -2g+1 || | ||
|| 4L1s || 1\5 < g < 1\4 || g = 9\40 || 1\5 < g < 2\9 || 2\9 < g < 3\13 || g || -4g+1 || | || 3L2s || 3\5 < g < 2\3 || g = 19\30 || 3\5 < g < 5\8 || 5\8 < g < 7\11 || 7\11 < g < 9\14 || -1+2g || -3g+2 || | ||
|| 4L1s || 1\5 < g < 1\4 || g = 9\40 || 1\5 < g < 2\9 || 2\9 < g < 3\13 || 3\13 < g < 4\17 || g || -4g+1 || | |||
=6= | =6= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ Top | ||
|| 1L5s || 5\6 < g < 1 || g = 11\12 || 5\6 < g < 6\7 || 6\7 < g < 7\8 || 5g-4 || 1-g || | range of diatonicity ||~ Large step ||~ Small step || | ||
|| 2L4s || 2\6 < g < 1\2 || g = 5\12 || 2\6 < g < 4\10 | || 1L5s || 5\6 < g < 1 || g = 11\12 || 5\6 < g < 6\7 || 6\7 < g < 7\8 || 7\8 < g < 8\9 || 5g-4 || 1-g || | ||
|| 3L3s || 1\6 < g < 1\3 || g = 3\12 | || 2L4s || 2\6 < g < 1\2 || g = 5\12 || 2\6 g < 3\8 || 3\8 < g < 4\10 || 4\10 < g < 5\12 || 2g-1\2 || 1\2-g || | ||
|| 4L2s || 1\6 < g < 1\4 || g = 5\24 || 1\6 < g < 2\10 | || 3L3s || 1\6 < g < 1\3 || g = 3\12 || 1\6 < g < 2\9 || 2\9 < g < 3\12 || 3\12 < g < 4\15 || g || 1\3-g || | ||
|| 5L1s || 1\6 < g < 1\5 || g = 11\60 || 1\6 < g < 2\11 || 2\11 < g < 3\16 || g || 1-5g || | || 4L2s || 1\6 < g < 1\4 || g = 5\24 || 1\6 < g < 2\10 || 2\10 < g < 3\14 || 3\14 < g < 4\18 || g || 1\2-2g || | ||
|| 5L1s || 1\6 < g < 1\5 || g = 11\60 || 1\6 < g < 2\11 || 2\11 < g < 3\16 || 3\16 < g < 4\21 || g || 1-5g || | |||
=7= | =7= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">To</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L6s || 6\7 < g < 1 || g = 13\14 || 6\7 < g < 7\8 || 7\8 < g < 8\9 || 6g-5 || 1-g || | || 1L6s || 6\7 < g < 1 || g = 13\14 || 6\7 < g < 7\8 || 7\8 < g < 8\9 || 8\9 < g < 9\10 || 6g-5 || 1-g || | ||
|| 2L5s || 3\7 < g < 1\2 || g = 13\28 || 3\7 < g < 4\9 || 4\9 < g < 5\11 || 5g-2 || 1-2g || | || 2L5s || 3\7 < g < 1\2 || g = 13\28 || 3\7 < g < 4\9 || 4\9 < g < 5\11 || 5\11 < g < 6\13 || 5g-2 || 1-2g || | ||
|| 3L4s || 2\7 < g < 1\3 || g = 13\42 || 2\7 < g < 3\10 || 3\10 < g < 4\13 || 4g-1 || 1-3g || | || 3L4s || 2\7 < g < 1\3 || g = 13\42 || 2\7 < g < 3\10 || 3\10 < g < 4\13 || 4\13 < g < 5\16 || 4g-1 || 1-3g || | ||
|| 4L3s || 5\7 < g < 3\4 || g = 41\56 || 5\7 < g < 8\11 || 8\11 < g < 11\15 || 3g-2 || 3-4g || | || 4L3s || 5\7 < g < 3\4 || g = 41\56 || 5\7 < g < 8\11 || 8\11 < g < 11\15 || 11\15 < g < 14\19 || 3g-2 || 3-4g || | ||
|| 5L2s || 4\7 < g < 3\5 || g = 41\70 || 4\7 < g < 7\12 || 7\12 < g < 10\17 || 2g-1 || 3-5g || | || 5L2s || 4\7 < g < 3\5 || g = 41\70 || 4\7 < g < 7\12 || 7\12 < g < 10\17 || 10\17 < g < 13\22 || 2g-1 || 3-5g || | ||
|| 6L1s || 1\7 < g < 1\6 || g = 13\84 || 1\7 < g < 2\13 || 2\13 < g < 3\19 || g || 1-6g || | || 6L1s || 1\7 < g < 1\6 || g = 13\84 || 1\7 < g < 2\13 || 2\13 < g < 3\19 || 3\19 < g < 4\25 || g || 1-6g || | ||
=8= | =8= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L7s || 7\8 < g < 1 || g = 15\16 || 7\8 < g < 8\9 || 8\9 < g < 9\10 || 7g-6 || 1-g || | || 1L7s || 7\8 < g < 1 || g = 15\16 || 7\8 < g < 8\9 || 8\9 < g < 9\10 || 9\10 < g < 10\11 || 7g-6 || 1-g || | ||
|| 2L6s || 3\8 < g < 1\2 || g = 7\16 || 3\8 < g < 4\10 | || 2L6s || 3\8 < g < 1\2 || g = 7\16 || 3\8 < g < 4\10 || 4\10 < g < 5\12 || 5\12 < g < 6\14 || 3g-1 || 1\2-g || | ||
|| 3L5s || 5\8 < g < 2\3 || g = 31\48 || 5\8 < g < 7\11 || 7\11 < g < 9\14 || 5g-3 || 2-3g || | || 3L5s || 5\8 < g < 2\3 || g = 31\48 || 5\8 < g < 7\11 || 7\11 < g < 9\14 || 9\14 < g < 11\17 || 5g-3 || 2-3g || | ||
|| 4L4s || 1\8 < g < 1\4 || g = 3\16 || 1\8 < g < 2\12 | || 4L4s || 1\8 < g < 1\4 || g = 3\16 || 1\8 < g < 2\12 || 2\12 < g < 3\16 || 3\16 < g < 4\20 || g || 1\4-g || | ||
|| 5L3s || 3\8 < g < 2\5 || g = 31\80 || 3\8 < g < 5\13 || 5\13 < g < 7\18 || 3g-1 || 2-5g || | || 5L3s || 3\8 < g < 2\5 || g = 31\80 || 3\8 < g < 5\13 || 5\13 < g < 7\18 || 7\18 < g < 9\23 || 3g-1 || 2-5g || | ||
|| 6L2s || 1\8 < g < 1\6 || g = 7\48 || 1\8 < g < 2\14 | || 6L2s || 1\8 < g < 1\6 || g = 7\48 || 1\8 < g < 2\14 || 2\14 < g < 3\20 || 3\20 < g < 4\26 || g || 1\2-3g || | ||
|| 7L1s || 1\8 < g < 1\7 || g = 15\112 || 1\8 < g < 2\15 || 2\15 < g < 3\22 || g || 1-7g || | || 7L1s || 1\8 < g < 1\7 || g = 15\112 || 1\8 < g < 2\15 || 2\15 < g < 3\22 || 3\22 < g < 4\29 || g || 1-7g || | ||
=9= | =9= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L8s || 8\9 < g < 1 || g = 17\18 || 8\9 < g < 9\10 || 9\10 < g < 10\11 || 8g-7 || 1-g || | || 1L8s || 8\9 < g < 1 || g = 17\18 || 8\9 < g < 9\10 || 9\10 < g < 10\11 || 9\10 < g < 10\11 || 8g-7 || 1-g || | ||
|| 2L7s || 4\9 < g < 1\2 || g = 17\36 || 4\9 < g < 5\11 || 5\11 < g < 6\13 || 7g-3 || 1-2g || | || 2L7s || 4\9 < g < 1\2 || g = 17\36 || 4\9 < g < 5\11 || 5\11 < g < 6\13 || 6\13 < g < 7\15 || 7g-3 || 1-2g || | ||
|| 3L6s || 2\9 < g < 1\3 || g = 5\18 || 2\9 < g < 3\12 | || 3L6s || 2\9 < g < 1\3 || g = 5\18 || 2\9 < g < 3\12 || 3\12 < g < 4\15 || 4\15 < g < 5\18 || 2g-1\3 || 1\3-g || | ||
|| 4L5s || 2\9 < g < 1\4 || g = 17\72 || 2\9 < g < 3\13 || 3\13 < g < 4\17 || 5g-1 || 1-4g || | ||< 4L5s ||< 2\9 < g < 1\4 ||< g = 17\72 ||< 2\9 < g < 3\13 || 3\13 < g < 4\17 ||< 4\17 < g < 5\21 ||< 5g-1 ||< 1-4g || | ||
|| 5L4s || 7\9 < g < 4\5 || g = 71\90 || 7\9 < g < 11\ | || 5L4s || 7\9 < g < 4\5 || g = 71\90 || 7\9 < g < 11\1 || 11\14 < g < 15\19 || 15\19 < g <18\23 || 4g-3 || 4-5g || | ||
|| 6L3s || 1\9 < g < 1\6 || g = 5\36 || 1\9 < g < 2\15 || 2\15 < g < 3\21 | || 6L3s || 1\9 < g < 1\6 || g = 5\36 || 1\9 < g < 2\15 || 2\15 < g < 3\21 || 3\21 < g < 4\27 || g || 1\3-2g || | ||
|| 7L2s || 5\9 < g < 4\7 || g = 71\126 || 5\9 < g < 9\16 || 9\16 < g < 10\23 || 2g-1 || 4-7g || | || 7L2s || 5\9 < g < 4\7 || g = 71\126 || 5\9 < g < 9\16 || 9\16 < g < 10\23 || 10\23 < g < 17\30 || 2g-1 || 4-7g || | ||
|| 8L1s || 1\9 < g < 1\8 || g = 17\144 || 1\9 < g < 2\17 || | || 8L1s || 1\9 < g < 1\8 || g = 17\144 || 1\9 < g < 2\17 || 2\17 < g < 3\25 || 3\25 < g < 4\33 || g || 1-8g || | ||
=10= | =10= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L9s || 9\10 < g < 1 || g = 19\20 || 9\10 < g < 10\11 || 10\11 < g < 11\12 || -8+9g || -g+1 || | || 1L9s || 9\10 < g < 1 || g = 19\20 || 9\10 < g < 10\11 || 10\11 < g < 11\12 || 11\12 < g < 12\13 || -8+9g || -g+1 || | ||
|| 2L8s || 4\10 | || 2L8s || 4\10 < g < 1\2 || g = 9\20 || 4\10 < g < 5\12 || 5\12 < g < 6\14 || 6\14 < g < 7\19 || -3\2+4g || -g+1\2 || | ||
|| 3L7s || 3\10 < g < 1\3 || g = 19\60 || 3\10 < g < 4\13 || 4\13 < g < 5\16 || -2+7g || 1-3g || | || 3L7s || 3\10 < g < 1\3 || g = 19\60 || 3\10 < g < 4\13 || 4\13 < g < 5\16 || 5\16 < g < 6\19 || -2+7g || 1-3g || | ||
|| 4L6s || 2\10 | || 4L6s || 2\10 < g < 1\4 || g = 9\40 || 2\10 < g < 3\14 || 3\14 < g < 4\18 || 4\19 < g < 5\22 || 3g-1\2 || -2g+1\2 || | ||
|| 5L5s || 1\10 < g < 1\5 || g = 3\20 || 1\10 < g < 2\15 || 2\15 < g < 3\20 || g || -g+1\5 || | || 5L5s || 1\10 < g < 1\5 || g = 3\20 || 1\10 < g < 2\15 || 2\15 < g < 3\20 || 3\20 < g < 4\25 || g || -g+1\5 || | ||
|| 6L4s || 3\10 < g < 2\6 | || 6L4s || 3\10 < g < 2\6 || g = 19\60 || 3\10 < g < 5\16 || 5\16 < g < 7\22 || 7\22 < g < 9\28 || -1\2+2g || 1-3g || | ||
|| 7L3s || 7\10 < g < 5\7 || g = 99\140 || 7\10 < g < 12\17 || 12\17 < g < 17\24 || -2+3g || -7g+5 || | || 7L3s || 7\10 < g < 5\7 || g = 99\140 || 7\10 < g < 12\17 || 12\17 < g < 17\24 || 17\24 < g <22\31 || -2+3g || -7g+5 || | ||
|| 8L2s || 1\10 < g < 1\8 || g = 9\80 || 1\10 < g < 2\18 | || 8L2s || 1\10 < g < 1\8 || g = 9\80 || 1\10 < g < 2\18 || 2\18 < g < 3\26 || 3\26 < g < 4\34 || g || -4g+1\2 || | ||
|| 9L1s || 1\10 < g < 1\9 || g = 19\180 || 1\10 < g < 2\19 || 2\19 < g < 3\28 || g || -9g+1 || | || 9L1s || 1\10 < g < 1\9 || g = 19\180 || 1\10 < g < 2\19 || 2\19 < g < 3\28 || 3\28 < g < 4\37 || g || -9g+1 || | ||
=11= | =11= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L10s || 10\11 < g < 1 || g = 21\22 || 10\11 < g < 11\12 || 11\12 < g < 12\13 || -9+10g || -g+1 || | || 1L10s || 10\11 < g < 1 || g = 21\22 || 10\11 < g < 11\12 || 11\12 < g < 12\13 || 12/13 < g < 13\14 || -9+10g || -g+1 || | ||
|| 2L9s || 5\11 < g < 1\2 || g = 21\44 || 5\11 < g < 6\13 || 6\13 < g < 7\15 || -4+9g || -2g+1 || | || 2L9s || 5\11 < g < 1\2 || g = 21\44 || 5\11 < g < 6\13 || 6\13 < g < 7\15 || 7\15 < g < 8\17 || -4+9g || -2g+1 || | ||
|| 3L8s || 7\11 < g < 2\3 || g = 43\66 || 7\11 < g < 9\14 || 9\14 < g < 11\17 || -5+8g || -3g+2 || | || 3L8s || 7\11 < g < 2\3 || g = 43\66 || 7\11 < g < 9\14 || 9\14 < g < 11\17 || 11\17 < g < 13\20 || -5+8g || -3g+2 || | ||
|| 4L7s || 8\11 < g < 3\4 || g = 65\88 || 8\11 < g < 11\15 || 11\15 < g < 14\19 || -5+7g || -4g+3 || | || 4L7s || 8\11 < g < 3\4 || g = 65\88 || 8\11 < g < 11\15 || 11\15 < g < 14\19 || 14\19 < g < 17\23 || -5+7g || -4g+3 || | ||
|| 5L6s || 2\11 < g < 1\5 || g = 21\110 || 2\11 < g < 3\16 || 3\16 < g < 4\21 || -1+6g || -5g+1 || | || 5L6s || 2\11 < g < 1\5 || g = 21\110 || 2\11 < g < 3\16 || 3\16 < g < 4\21 || 4\21 < g < 5\26 || -1+6g || -5g+1 || | ||
|| 6L5s || 9\11 < g < 5\6 || g = 109\132 || 9\11 < g < 14\17 || 14\17 < g < 19\23 || -4+5g || -6g+5 || | || 6L5s || 9\11 < g < 5\6 || g = 109\132 || 9\11 < g < 14\17 || 14\17 < g < 19\23 || 19\23 < g < 24\29 || -4+5g || -6g+5 || | ||
|| 7L4s || 3\11 < g < 2\7 || g = 43\154 || 3\11 < g < 5\18 || 5\18 < g < 7\25 || -1+4g || -7g+2 || | || 7L4s || 3\11 < g < 2\7 || g = 43\154 || 3\11 < g < 5\18 || 5\18 < g < 7\25 || 7\25 < g < 9\32 || -1+4g || -7g+2 || | ||
|| 8L3s || 4\11 < g < 3\8 || g = 65\176 || 4\11 < g < 7\19 || 7\19 < g < 10\27 || -1+3g || -8g+3 || | || 8L3s || 4\11 < g < 3\8 || g = 65\176 || 4\11 < g < 7\19 || 7\19 < g < 10\27 || 10\27 < g < 13\35 || -1+3g || -8g+3 || | ||
|| 9L2s || 6\11 < g < 5\9 || g = 109\198 || 6\11 < g < 11\20 || 11\20 < g < 16\29 || -1+2g || -9g+5 || | || 9L2s || 6\11 < g < 5\9 || g = 109\198 || 6\11 < g < 11\20 || 11\20 < g < 16\29 || 16\29 < g < 21\38 || -1+2g || -9g+5 || | ||
|| 10L1s || 1\11 < g < 1\10 || g = 21\220 || 1\11 < g < 2\21 || 2\21 < g < 3\31 || g || -10g+1 || | || 10L1s || 1\11 < g < 1\10 || g = 21\220 || 1\11 < g < 2\21 || 2\21 < g < 3\31 || 3\31 < g < 4\41 || g || -10g+1 || | ||
=12= | =12= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L11s || 11\12 < g < 1 || g = 23\24 || 11\12 < g < 12\13 || 12\13 < g < 13\14 || 11g-10 || 1-g || | || 1L11s || 11\12 < g < 1 || g = 23\24 || 11\12 < g < 12\13 || 12\13 < g < 13\14 || 13\14 < g < 14\15 || 11g-10 || 1-g || | ||
|| 2L10s || 5\12 < g < 1\2 || g = 11\24 || 5\12 < g < 6\14 | || 2L10s || 5\12 < g < 1\2 || g = 11\24 || 5\12 < g < 6\14 || 6\14 < g < 7\16 || 7\16 < g < 8\18 || 5g-2 || 1\2-g || | ||
|| 3L9s || 3\12 < g < | || 3L9s || 3\12 < g < 1\3 || g = 7\24 || 3\12 < g < 4\15 || 4\15 < g < 5\18 || 5\18 < g < 6\21 || 3g-2\3 || 1\3-g || | ||
|| 4L8s || 2\12 | || 4L8s || 2\12 < g < 1\4 || g = 5\24 || 2/12 < g < 3\16 || 3\16 < g < 4\20 || 4\20 < g < 5\24 || 2g-1\4 || 1\4-g || | ||
|| 5L7s || 7\12 < g < 3\5 || g = 71\120 || 7\12 < g < 10\17 || 10\17 < g < 13\22 || 7g-4 || 3-5g || | || 5L7s || 7\12 < g < 3\5 || g = 71\120 || 7\12 < g < 10\17 || 10\17 < g < 13\22 || 13\22 < g < 16\27 || 7g-4 || 3-5g || | ||
|| 6L6s || 1\12 < g < 1\6 || g = 3\24 || 1\12 < g < 2\18 | || 6L6s || 1\12 < g < 1\6 || g = 3\24 || 1\12 < g < 2\18 || 2\18 < g < 3\24 || 3/24 < g < 4\30 || g || 1\6-g || | ||
|| 7L5s || 5\12 < g < 3\7 || g = 71\168 || 5\12 < g < 8\19 || 8\19 < g < 11\26 || 5g-2 || 3-7g || | || 7L5s || 5\12 < g < 3\7 || g = 71\168 || 5\12 < g < 8\19 || 8\19 < g < 11\26 || 11\26 < g < 14\33 || 5g-2 || 3-7g || | ||
|| 8L4s || 1\12 < g < 1\8 || g = 5\48 || 1\12 < g < 2\20 | || 8L4s || 1\12 < g < 1\8 || g = 5\48 || 1\12 < g < 2\20 || 2\20 < g < 3\28 || 3\28 < g < 4\36 || g || 1\4-2g || | ||
|| 9L3s || 1\12 < g < 1\9 || g = 7\72 || 1\12 < g < 2\21 || 2\21 < g < 3\30 | || 9L3s || 1\12 < g < 1\9 || g = 7\72 || 1\12 < g < 2\21 || 2\21 < g < 3\30 || 3\30 < g < 4\39 || g || 1\3-3g || | ||
|| 10L2s || 1\12 < g < 1\10 || g = 11\120 || 1\12 < g < 2\22 | || 10L2s || 1\12 < g < 1\10 || g = 11\120 || 1\12 < g < 2\22 || 2\22 < g < 3\32 || 3\32 < g < 4\42 || g || 1\2-5g || | ||
|| 11L1s || 1\12 < g < 1\11 || g = 23\264 || 1\12 < g < 2\23 || 2\23 < g < 3\34 || g || 1-11g || | || 11L1s || 1\12 < g < 1\11 || g = 23\264 || 1\12 < g < 2\23 || 2\23 < g < 3\34 || 3\34 < g < 4\45 || g || 1-11g || | ||
=13= | =13= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L12s || 12\13 < g < 1 || g = 25\26 || 12\13 < g < 13\14 || 13\14 < g < 14\15 || 12g-11 || 1-g || | || 1L12s || 12\13 < g < 1 || g = 25\26 || 12\13 < g < 13\14 || 13\14 < g < 14\15 || 14\15 < g < 15\16 || 12g-11 || 1-g || | ||
|| 2L11s || 6\13 < g < 1\2 || g = 25\52 || 6\13 < g < 7\15 || 7\15 < g < 8\17 || 11g-5 || 1-2g || | || 2L11s || 6\13 < g < 1\2 || g = 25\52 || 6\13 < g < 7\15 || 7\15 < g < 8\17 || 8\17 < g < 9\18 || 11g-5 || 1-2g || | ||
|| 3L10s || 4\13 < g < 1\3 || g = 25\78 || 4\13 < g < 5\16 || 5\16 < g < 6\19 || 10g-3 || 1-3g || | || 3L10s || 4\13 < g < 1\3 || g = 25\78 || 4\13 < g < 5\16 || 5\16 < g < 6\19 || 6\19 < g < 7/22 || 10g-3 || 1-3g || | ||
|| 4L9s || 3\13 < g < 1\4 || g = 25\104 || 3\13 < g < 4\17 || 4\17 < g < 5\21 || 9g-2 || 1-4g || | || 4L9s || 3\13 < g < 1\4 || g = 25\104 || 3\13 < g < 4\17 || 4\17 < g < 5\21 || 5\21 < g < 6\25 || 9g-2 || 1-4g || | ||
|| 5L8s || 5\13 < g < 2\5 || g = 51\130 || 5\13 < g < 7\18 || 7\18 < g < 9\23 || 8g-3 || 2-5g || | || 5L8s || 5\13 < g < 2\5 || g = 51\130 || 5\13 < g < 7\18 || 7\18 < g < 9\23 || 9\23 < g < 11\28 || 8g-3 || 2-5g || | ||
|| 6L7s || 2\13 < g < 1\6 || g = 25\156 || 2\13 < g < 3\19 || 3\19 < g < 4\25 || 7g-1 || 1-6g || | || 6L7s || 2\13 < g < 1\6 || g = 25\156 || 2\13 < g < 3\19 || 3\19 < g < 4\25 || 4\25 < g < 5\31 || 7g-1 || 1-6g || | ||
|| 7L6s || 11\13 < g < 6\7 || g = 155\182 || 11\13 < g < 17\20 || 17\20 < g < 23\27 || 6g-5 || 6-7g || | || 7L6s || 11\13 < g < 6\7 || g = 155\182 || 11\13 < g < 17\20 || 17\20 < g < 23\27 || 23\27 < g < 29\34 || 6g-5 || 6-7g || | ||
|| 8L5s || 8\13 < g < 5\8 || g = 129\208 || 8\13 < g < 13\21 || 13\21 < g < 18\29 || 5g-3 || 5-8g || | || 8L5s || 8\13 < g < 5\8 || g = 129\208 || 8\13 < g < 13\21 || 13\21 < g < 18\29 || 18\29 < g < 23\37 || 5g-3 || 5-8g || | ||
|| 9L4s || 10\13 < g < 7\9 || g = 181\234 || 10\13 < g < 17\22 || 17\22 < g < 24\31 || 4g-3 || 7-9g || | || 9L4s || 10\13 < g < 7\9 || g = 181\234 || 10\13 < g < 17\22 || 17\22 < g < 24\31 || 24\31 < g < 31\40 || 4g-3 || 7-9g || | ||
|| 10L3s || 9\13 < g < 7\10 || g = 181\260 || 9\13 < g < 16\23 || 16\23 < g < 23\33 || 3g-2 || 7-10g || | || 10L3s || 9\13 < g < 7\10 || g = 181\260 || 9\13 < g < 16\23 || 16\23 < g < 23\33 || 23\33 < g < 30\43 || 3g-2 || 7-10g || | ||
|| 11L2s || 7\13 < g < 6\11 || g = 155\286 || 7\13 < g < 13\24 || 13\24 < g < 19\35 || 2g-1 || 6-11g || | || 11L2s || 7\13 < g < 6\11 || g = 155\286 || 7\13 < g < 13\24 || 13\24 < g < 19\35 || 19\35 < g < 25\46 || 2g-1 || 6-11g || | ||
|| 12L1s || 1\13 < g < 1\12 || g = 25\312 || 1\13 < g < 2\25 || 2\25 < g < 3\37 || g || 1-12g || | || 12L1s || 1\13 < g < 1\12 || g = 25\312 || 1\13 < g < 2\25 || 2\25 < g < 3\37 || 3\37 < g < 4\49 || g || 1-12g || | ||
=14= | =14= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L13s || 13\14 < g < 1 || g = 27\28 || 13\14 < g < 14\15 || 14\15 < g < 15\16 || -12+13g || -g+1 || | || 1L13s || 13\14 < g < 1 || g = 27\28 || 13\14 < g < 14\15 || 14\15 < g < 15\16 || 15\16 < g < 16\17 || \-12+13g || -g+1 || | ||
|| 2L12s || 6\14 < g < 1\2 || g = 13\28 || 6\14 < g < 7\16 || 7\16 < g < 8\18 | || 2L12s || 6\14 < g < 1\2 || g = 13\28 || 6\14 < g < 7\16 || 7\16 < g < 8\18 || 8\18 < g < 9\20 || -5\2+6g || -g+1\2 || | ||
|| 3L11s || 9\14 < g < 2\3 || g = 55\84 || 9\14 < g < 11\17 || 11\17 < g < 13\20 || -7+11g || -3g+2 || | || 3L11s || 9\14 < g < 2\3 || g = 55\84 || 9\14 < g < 11\17 || 11\17 < g < 13\20 || 13\20 < g < 15\23 || -7+11g || -3g+2 || | ||
|| 4L10s || 3\14 < g < 1\4 || g = 13\56 || 3\14 < g < 4\18 | || 4L10s || 3\14 < g < 1\4 || g = 13\56 || 3\14 < g < 4\18 || 4\18 < g < 5\22 || 5\22 < g < 6\26 || -1+5g || -2g+1\2 || | ||
|| 5L9s || 11\14 < g < 4\5 || g = 111\140 || 11\14 < g < 15\19 || 15\19 < g < 19\24 || -7+9g || -5g+4 || | || 5L9s || 11\14 < g < 4\5 || g = 111\140 || 11\14 < g < 15\19 || 15\19 < g < 19\24 || 19\24 < g < 23\29 || -7+9g || -5g+4 || | ||
|| 6L8s || 2\14 < g < 1\6 || g = 13\84 || 2\14 < g < 3\20 || 3\20 < g < 4\26 | || 6L8s || 2\14 < g < 1\6 || g = 13\84 || 2\14 < g < 3\20 || 3\20 < g < 4\26 || 4\26 < g < 5\32 || 4g-1\2 || -3g+1\2 || | ||
|| 7L7s || 1\14 < g < 1\7 || g = 3\28 || 1\14 < g < 2\21 || 2\21 < g < 3\28 || g || -g+1\7 || | || 7L7s || 1\14 < g < 1\7 || g = 3\28 || 1\14 < g < 2\21 || 2\21 < g < 3\28 || 3\28 < g < 4\35 || g || -g+1\7 || | ||
|| 8L6s || 5\14 < g < 3\8 || g = 41\112 || 5\14 < g < 8\22 || 8\22 < g < 11\30 || -1+3g || -4g+3\2 || | || 8L6s || 5\14 < g < 3\8 || g = 41\112 || 5\14 < g < 8\22 || 8\22 < g < 11\30 || 11\30 < g < 14\38 || -1+3g || -4g+3\2 || | ||
|| 9L5s || 3\14 < g < 2\9 || g = 55\252 || 3\14 < g < 5\23 || 5\23 < g < 7\32 || -1+5g || -9g+2 || | || 9L5s || 3\14 < g < 2\9 || g = 55\252 || 3\14 < g < 5\23 || 5\23 < g < 7\32 || 7\32 < g < 9\41 || -1+5g || -9g+2 || | ||
|| 10L4s || 4\14 < g < 3\10 || g = 41\140 || 4\14 < g < 7\24 || 7\24 < g < 10\34 | || 10L4s || 4\14 < g < 3\10 || g = 41\140 || 4\14 < g < 7\24 || 7\24 < g < 10\34 || 10\34 < g < 13\44 || -1\2+2g || -5g+3\2 || | ||
|| 11L3s || 5\14 < g < 4\11 || g = 111\308 || 5\14 < g < 9\25 || 9\25 < g < 13\36 || -1+3g || -11g+4 || | || 11L3s || 5\14 < g < 4\11 || g = 111\308 || 5\14 < g < 9\25 || 9\25 < g < 13\36 || 13\36 < g < 17\47 || -1+3g || -11g+4 || | ||
|| 12L2s || 1\14 < g < 1\12 || g = 13\168 || 1\14 < g < 2\26 | || 12L2s || 1\14 < g < 1\12 || g = 13\168 || 1\14 < g < 2\26 || 2\26 < g < 3\38 || 3\38 < g < 4\50 || g || -6g+1\2 || | ||
|| 13L1s || 1\14 < g < 1\13 || g = 27\364 || 1\14 < g < 2\27 || 2\27 < g < 3\40 || g || -13g+1 || | || 13L1s || 1\14 < g < 1\13 || g = 27\364 || 1\14 < g < 2\27 || 2\27 < g < 3\40 || 3\40 < g < 4\53 || g || -13g+1 || | ||
=15= | =15= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L14s || 14\15 < g < 1 || g = 29\30 || 14\15 < g < 15\16 || 15\16 < g < 16\17 || -13+14g || -g+1 || | || 1L14s || 14\15 < g < 1 || g = 29\30 || 14\15 < g < 15\16 || 15\16 < g < 16\17 || 16\17 < g < 17\18 || -13+14g || -g+1 || | ||
|| 2L13s || 7\15 < g < 1\2 || g = 29\60 || 7\15 < g < 8\17 || 8\17 < g < 9\19 || -6+13g || -2g+1 || | || 2L13s || 7\15 < g < 1\2 || g = 29\60 || 7\15 < g < 8\17 || 8\17 < g < 9\19 || 9\19 < g < 10\21 || -6+13g || -2g+1 || | ||
|| 3L12s || 4\15 < g < 1\3 || g = 9\30 || 4\15 < g < 5\18 || 5\18 < g < 6\21 | || 3L12s || 4\15 < g < 1\3 || g = 9\30 || 4\15 < g < 5\18 || 5\18 < g < 6\21 || 6\21 < g < 7\24 || -1+4g || -g+1\3 || | ||
|| 4L11s || 11\15 < g < 3\4 || g = 89\120 || 11\15 < g < 14\19 || 14\19 < g < 17\23 || -8+11g || -4g+3 || | || 4L11s || 11\15 < g < 3\4 || g = 89\120 || 11\15 < g < 14\19 || 14\19 < g < 17\23 || 17\23 < g < 20\27 || -8+11g || -4g+3 || | ||
|| 5L10s || 2\15 < g < 1\5 || g = 5\30 || 2\15 < g < 3\20 || 3\20 < g < 4\25 || -1\5+2g || -g+1\5 || | || 5L10s || 2\15 < g < 1\5 || g = 5\30 || 2\15 < g < 3\20 || 3\20 < g < 4\25 || 4\25 < g < 5\30 || -1\5+2g || -g+1\5 || | ||
|| 6L9s || 2\15 < g < 1\6 || g = 9\60 || 2\15 < g < 3\21 | || 6L9s || 2\15 < g < 1\6 || g = 9\60 || 2\15 < g < 3\21 || 3\21 < g < 4\27 || 4\27 < g < 5\33 || -1\3+3g || -2g+1\3 || | ||
|| 7L8s || 2\15 < g < 1\7 || g = 29\210 || 2\15 < g < 3\22 || 3\22 < g < 4\29 || -1+8g || -7g+1 || | || 7L8s || 2\15 < g < 1\7 || g = 29\210 || 2\15 < g < 3\22 || 3\22 < g < 4\29 || 4\29 < g < 5\36 || -1+8g || -7g+1 || | ||
|| 8L7s || 13\15 < g < 7\8 || g = 209\240 || 13\15 < g < 20\23 || 20\23 < g < 27\31 || -6+7g || -8g+7 || | || 8L7s || 13\15 < g < 7\8 || g = 209\240 || 13\15 < g < 20\23 || 20\23 < g < 27\31 || 27\31 < g < 34\39 || -6+7g || -8g+7 || | ||
|| 9L6s || 3\15 | || 9L6s || 3\15 < g < 2\9 || g = 19\90 || 3\15 < g < 5\24 || 5\24 < g < 7\33 || 7\33 < g < 9\42 || -1\3+2g || -3g+2\3 || | ||
|| 10L5s || 1\15 < g < 1\10 || g = 5\60 || 1\15 < g < 2\25 || 2\25 < g < 3\35 || g || -2g+1\5 || | || 10L5s || 1\15 < g < 1\10 || g = 5\60 || 1\15 < g < 2\25 || 2\25 < g < 3\35 || 3\35 < g < 4\45 || g || -2g+1\5 || | ||
|| 11L4s || 4\15 < g < 3\11 || g = 89\330 || 4\15 < g < 7\26 || 7\26 < g < 10\37 || -1+4g || -11g+3 || | || 11L4s || 4\15 < g < 3\11 || g = 89\330 || 4\15 < g < 7\26 || 7\26 < g < 10\37 || 10\37 < g < 13\48 || -1+4g || -11g+3 || | ||
|| 12L3s || 1\15 < g < 1\12 || g = 9\120 || 1\15 < g < 2\27 || 2\27 < g < 3\39 | || 12L3s || 1\15 < g < 1\12 || g = 9\120 || 1\15 < g < 2\27 || 2\27 < g < 3\39 || 3\39 < g < 4\51 || g || -4g+1\3 || | ||
|| 13L2s || 8\15 < g < 7\13 || g = 209\390 || 8\15 < g < 15\28 || 15\28 < g < 22\41 || -1+2g || -13g+7 || | || 13L2s || 8\15 < g < 7\13 || g = 209\390 || 8\15 < g < 15\28 || 15\28 < g < 22\41 || 22\41 < g < 29\54 || -1+2g || -13g+7 || | ||
|| 14L1s || 1\15 < g < 1\14 || g = 29\420 || 1\15 < g < 2\29 || 2\29 < g < 3\43 || g || -14g+1 || | || 14L1s || 1\15 < g < 1\14 || g = 29\420 || 1\15 < g < 2\29 || 2\29 < g < 3\43 || 3\43 < g < 4\57 || g || -14g+1 || | ||
=16= | =16= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L15s || 15\16 < g < 1 || g = 31\32 || 15\16 < g < 16\17 || 16\17 < g < 17\18 || -14+15g || -g+1 || | || 1L15s || 15\16 < g < 1 || g = 31\32 || 15\16 < g < 16\17 || 16\17 < g < 17\18 || 17\18 < g < 18\19 || -14+15g || -g+1 || | ||
|| 2L14s || 7\16 < g < 1\2 || g = 15\32 || 7\16 < g < 8\18 | || 2L14s || 7\16 < g < 1\2 || g = 15\32 || 7\16 < g < 8\18 || 8\18 < g < 9\20 || 9\20 < g < 10\22 || -3+7g || -g+1\2 || | ||
|| 3L13s || 5\16 < g < 1\3 || g = 31\96 || 5\16 < g < 6\19 || 6\19 < g < 7\22 || -4+13g || 1-3g || | || 3L13s || 5\16 < g < 1\3 || g = 31\96 || 5\16 < g < 6\19 || 6\19 < g < 7\22 || 7\22 < g < 8\25 || -4+13g || 1-3g || | ||
|| 4L12s || 3\16 < g < 1\4 || g = 7\32 || 3\16 < g < 4\20 | || 4L12s || 3\16 < g < 1\4 || g = 7\32 || 3\16 < g < 4\20 || 4\20 < g < 5\24 || 5\24 < g < 6\28 || 3g-1\2 || -g+1\4 || | ||
|| 5L11s || 3\16 < g < 1\5 || g = 31\160 || 3\16 < g < 4\21 || 4\21 < g < 5\26 || -2+11g || -5g+1 || | || 5L11s || 3\16 < g < 1\5 || g = 31\160 || 3\16 < g < 4\21 || 4\21 < g < 5\26 || 5\26 < g < 6\31 || -2+11g || -5g+1 || | ||
|| 6L10s || 5\16 < g < 2\6 || g = 31\96 || 5\16 < g < 7\22 || 7\22 < g < 9\28 || -3\2+5g || 1-3g || | || 6L10s || 5\16 < g < 2\6 || g = 31\96 || 5\16 < g < 7\22 || 7\22 < g < 9\28 || 9\28 < g < 11\34 || -3\2+5g || 1-3g || | ||
|| 7L9s || 9\16 < g < 4\7 || g = 127\224 || 9\16 < g < 13\23 || 13\23 < g < 17\30 || -5+9g || -7g+4 || | || 7L9s || 9\16 < g < 4\7 || g = 127\224 || 9\16 < g < 13\23 || 13\23 < g < 17\30 || 17\30 < g < 21\37 || -5+9g || -7g+4 || | ||
|| 8L8s || 1\16 < g < 1\8 || g = 3\32 || 1\16 < g < 2\24 | || 8L8s || 1\16 < g < 1\8 || g = 3\32 || 1\16 < g < 2\24 || 2\24 < g < 3\32 || 3\32 < g < 4\40 || g || -g+1\8 || | ||
|| 9L7s || 7\16 < g < 4\9 || g = 127\286 || 7\16 < g < 11\25 || 11\25 < g < 15\34 || -3+7g || -9g+4 || | || 9L7s || 7\16 < g < 4\9 || g = 127\286 || 7\16 < g < 11\25 || 11\25 < g < 15\34 || 15\34 < g < 19\43 || -3+7g || -9g+4 || | ||
|| 10L6s || 3\16 < g < 2\10 || g = 31\160 || 3\16 < g < 5\26 || 5\26 < g < 7\36 || 3g-1\2 || -5g+1 || | || 10L6s || 3\16 < g < 2\10 || g = 31\160 || 3\16 < g < 5\26 || 5\26 < g < 7\36 || 7\36 < g < 8\46 || 3g-1\2 || -5g+1 || | ||
|| 11L5s || 13\16 < g < 9\11 || g = 287\352 || 13\16 < g < 22\27 || 22\27 < g < 31\38 || -4+5g || -11g+9 || | || 11L5s || 13\16 < g < 9\11 || g = 287\352 || 13\16 < g < 22\27 || 22\27 < g < 31\38 || 31\38 < g < 40\49 || -4+5g || -11g+9 || | ||
|| 12L4s || 1\16 < g < 1\12 || g = 7\48 || 1\16 < g < 2\28 | || 12L4s || 1\16 < g < 1\12 || g = 7\48 || 1\16 < g < 2\28 || 2\28 < g < 3\40 || 3\40 < g < 4\52 || g || -3g+1\4 || | ||
|| 13L3s || 11\16 < g < 9\13 || g = 287\416 || 11\16 < g < 20\29 || 20\29 < g < 29\42 || -2+3g || -13g+9 || | || 13L3s || 11\16 < g < 9\13 || g = 287\416 || 11\16 < g < 20\29 || 20\29 < g < 29\42 || 29\42 < g < 38\55 || -2+3g || -13g+9 || | ||
|| 14L2s || 1\16 < g < 1\14 || g = 15\224 || 1\16 < g < 2\30 | || 14L2s || 1\16 < g < 1\14 || g = 15\224 || 1\16 < g < 2\30 || 2\30 < g < 3\44 || 3\44 < g < 4\58 || g || -7g+1\2 || | ||
|| 15L1s || 1\16 < g < 1\15 || g = 31\480 || 1\16 < g < 2\31 || 2\31 < g < 3\46 || g || -15g+1 || | || 15L1s || 1\16 < g < 1\15 || g = 31\480 || 1\16 < g < 2\31 || 2\31 < g < 3\46 || 3\46 < g < 4\61 || g || -15g+1 || | ||
=17= | =17= | ||
|| Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L16s || 16\17 < g < 1 || g = 33\34 || 16\17 < g < 17\18 || 17\18 < g < 18\19 || -15+16g || -g+1 || | || 1L16s || 16\17 < g < 1 || g = 33\34 || 16\17 < g < 17\18 || 17\18 < g < 18\19 || 18\19 < g < 19\20 || -15+16g || -g+1 || | ||
|| 2L15s || 8\17 < g < 1\2 || g = 33\68 || 8\17 < g < 9\19 || 9\19 < g < 10\21 || -7+15g || -2g+1 || | || 2L15s || 8\17 < g < 1\2 || g = 33\68 || 8\17 < g < 9\19 || 9\19 < g < 10\21 || 10\21 < g < 11\23 || -7+15g || -2g+1 || | ||
|| 3L14s || 11\17 < g < 2\3 || g = 67\102 || 11\17 < g < 13\20 || 13\20 < g < 15\23 || -9+14g || -3g+2 || | || 3L14s || 11\17 < g < 2\3 || g = 67\102 || 11\17 < g < 13\20 || 13\20 < g < 15\23 || 15\23 < g < 17\26 || -9+14g || -3g+2 || | ||
|| 4L13s || 4\17 < g < 1\4 || g = 33\136 || 4\17 < g < 5\21 || 5\21 < g < 6\25 || -3+13g || -4g+1 || | || 4L13s || 4\17 < g < 1\4 || g = 33\136 || 4\17 < g < 5\21 || 5\21 < g < 6\25 || 6\25 < g < 7\29 || -3+13g || -4g+1 || | ||
|| 5L12s || 10\17 < g < 3\5 || g = 101\170 || 10\17 < g < 13\22 || 13\22 < g < 16\27 || -7+12g || -5g+3 || | || 5L12s || 10\17 < g < 3\5 || g = 101\170 || 10\17 < g < 13\22 || 13\22 < g < 16\27 || 16\27 < g < 19\32 || -7+12g || -5g+3 || | ||
|| 6L11s || 14\17 < g < 5\6 || g = 169\204 || 14\17 < g < 19\23 || 19\23 < g < 24\29 || -9+11g || -6g+5 || | || 6L11s || 14\17 < g < 5\6 || g = 169\204 || 14\17 < g < 19\23 || 19\23 < g < 24\29 || 24\29 < g < 29\35 || -9+11g || -6g+5 || | ||
|| 7L10s || 12\17 < g < 5\7 || g = 169\238 || 12\17 < g < 17\24 || 17\24 < g < 22\31 || -7+10g || -7g+5 || | || 7L10s || 12\17 < g < 5\7 || g = 169\238 || 12\17 < g < 17\24 || 17\24 < g < 22\31 || 22\31 < g < 27\38 || -7+10g || -7g+5 || | ||
|| 8L9s || 2\17 < g < 1\8 || g = 33\272 || 2\17 < g < 3\25 || 3\25 < g < 4\33 || -1+9g || -8g+1 || | || 8L9s || 2\17 < g < 1\8 || g = 33\272 || 2\17 < g < 3\25 || 3\25 < g < 4\33 || 4\33 < g < 5\41 || -1+9g || -8g+1 || | ||
|| 9L8s || 15\17 < g < 8\9 || g = 271\306 || 15\17 < g < 23\26 || 23\26 < g < 31\35 || -7+8g || -9g+8 || | || 9L8s || 15\17 < g < 8\9 || g = 271\306 || 15\17 < g < 23\26 || 23\26 < g < 31\35 || 31\35 < g < 39\44 || -7+8g || -9g+8 || | ||
|| 10L7s || 5\17 < g < 3\10 || g = 101\340 || 5\17 < g < 8\27 || 8\27 < g < 11\37 || -2+7g || -10g+3 || | || 10L7s || 5\17 < g < 3\10 || g = 101\340 || 5\17 < g < 8\27 || 8\27 < g < 11\37 || 11\37 < g < 14\47 || -2+7g || -10g+3 || | ||
|| 11L6s || 3\17 < g < 2\11 || g = 67\374 || 3\17 < g < 5\28 || 5\28 < g < 7\39 || -1+6g || -11g+2 || | || 11L6s || 3\17 < g < 2\11 || g = 67\374 || 3\17 < g < 5\28 || 5\28 < g < 7\39 || 7\39 < g < 9\50 || -1+6g || -11g+2 || | ||
|| 12L5s || 7\17 < g < 5\12 || g = 169\408 || 7\17 < g < 12\29 || 12\29 < g < 17\41 || -2+5g || -12g+5 || | || 12L5s || 7\17 < g < 5\12 || g = 169\408 || 7\17 < g < 12\29 || 12\29 < g < 17\41 || 17\41 < g < 22\53 || -2+5g || -12g+5 || | ||
|| 13L4s || 13\17 < g < 10\13 || g = 339\442 || 13\17 < g < 23\30 || 23\30 < g < 33\43 || -3+4g || -13g+10 || | || 13L4s || 13\17 < g < 10\13 || g = 339\442 || 13\17 < g < 23\30 || 23\30 < g < 33\43 || 33\43 < g < 43\56 || -3+4g || -13g+10 || | ||
|| 14L3s || 6\17 < g < 5\14 || g = 169\476 || 6\17 < g < 11\31 || 11\31 < g < 16\45 || -1+3g || -14g+5 || | || 14L3s || 6\17 < g < 5\14 || g = 169\476 || 6\17 < g < 11\31 || 11\31 < g < 16\45 || 16\45 < g < 21\59 || -1+3g || -14g+5 || | ||
|| 15L2s || 9\17 < g < 8\15 || g = 271\510 || 9\17 < g < 17\32 || 17\32 < g < 25\47 || -1+2g || -15g+8 || | || 15L2s || 9\17 < g < 8\15 || g = 271\510 || 9\17 < g < 17\32 || 17\32 < g < 25\47 || 25\47 < g < 33\62 || -1+2g || -15g+8 || | ||
|| 16L1s || 1\17 < g < 1\16 || g = 33\544 || 1\17 < g < 2\33 || 2\33 < g < 3\49 || g || -16g+1 || | || 16L1s || 1\17 < g < 1\16 || g = 33\544 || 1\17 < g < 2\33 || 2\33 < g < 3\49 || 3\49 < g < 4\65 || g || -16g+1 || | ||
=18= | =18= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L17s || 17\18 < g < 1 || g = 35\36 || 17\18 < g < 18\19 || 18\19 < g < 19\20 || 19\20 < g < 20\21 || -16+17g || -g+1 || | |||
|| | || 2L16s || 8\18 < g < 1\2 || g = 17\36 || 8\18 < g < 9\20 || 9\20 < g < 10\22 || 10\22 < g < 11\24 || -7\2+8g || -g+1\2 || | ||
|| | || 3L15s || 5\18 < g < 1\3 || g = 11\36 || 5\18 < g < 6\21 || 6\21 < g < 7\24 || 7\24 < g < 8\27 || -4\3+5g || -g+1\3 || | ||
|| | || 4L14s || <span style="line-height: 15.6000003814697px;">4\18 < g < 1\4</span> || g = 17\72 || <span style="line-height: 15.6000003814697px;">4\18 < g < 5\22</span> || <span style="line-height: 15.6000003814697px;">5\22 < g < 6\26</span> || 6\26 < g < 7\30 || -3\2+7g || -2g+1\2 || | ||
|| 5L13s || 7\18 < g < 2\5 || g = 71\180 || 7\18 < g < 9\23 || 9\23 < g < 11\28 || 11\28 < g < 13\33 || -5+13g || -5g+2 || | |||
|| 6L12s || 2\18 < g < 1\6 || g = 5\36 || 2\18 < g < 3\24 || 3\24 < g < 4\30 || 4\30 < g < 5\36 || -1\6+2g || -g+1\6 || | |||
|| | || 7L11s || 5\18 < g < 2\7 || g = 71\252 || 5\18 < g < 7\25 || 7\25 < g < 9\32 || 9\32 < g < 11\39 || -3+11g || -7g+2 || | ||
|| | || 8L10s || 2\18 < g < 1\8 || g = 17\144 || 2\18 < g < 3\26 || 3\26 < g < 4\34 || 4\34 < g < 5\42 || -1\2+5g || -4g+1\2 || | ||
|| | || 9L9s || 1\18 < g < 1\9 || g = 3\36 || 1\18 < g < 2\27 || 2\27 < g < 3\36 || 3\36 < g < 4\45 || g || -g+1\9 || | ||
|| | || 10L8s || 7\18 < g < 4\10 || g = 71\180 || 7\18 < g < 11\28 || 11\28 < g < 15\38 || 15\38 < g < 19\43 || -3\2+4g || -5g+2 || | ||
|| | || 11L7s || 13\18 < g < 8\11 || g = 287\396 || 13\18 < g < 21\29 || 21\29 < g < 29\40 || 29\40 < g < 37\51 || -5+7g || -11g+8 || | ||
|| | || 12L6s || 1\18 < g < 1\12 || g = 5\72 || 1\18 < g < 2\30 || 2\30 < g < 3\42 || 3\42 < g < 4\54 || g || -2g+1\6 || | ||
|| | || 13L5s || 11\18 < g < 8\13 || g = 287\468 || 11\18 < g < 19\31 || 19\31 < g < 27\44 || 27\44 < g < 35\57 || -3+5g || -13g+8 || | ||
|| | || 14L4s || 5\18 < g < 4\14 || g = 71\252 || 5\18 < g < 9\32 || 9\32 < g < 13\46 || 13\46 < g < 17\60 || -1\2+2g || -7g+2 || | ||
|| | || 15L3s || 1\18 < g < 1\15 || g = 11\180 || 1\18 < g < 2\33 || 2\33 < g < 3\48 || 3\48 < g < 4\63 || g || -5g+1\3 || | ||
|| | || 16L2s || 1\18 < g < 1\16 || g = 17\288 || 1\18 < g < 2\34 || 2\34 < g < 3\50 || 3\50 < g < 4\66 || g || -8g+1\2 || | ||
|| 17L1s || 1\18 < g < 1\17 || g = 35\618 || 1\18 < g < 2\35 || 2\35 < g < 3\52 || 3\52 < g < 4\69 || g || -17g+1 || | |||
=19= | =19= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L18s || 18\19 < g < 1 || g = 37\38 || 18\19 < g < 19\20 || 19\20 < g < 20\21 || 20\21 < g < 21\22 || -17+18g || -g+1 || | |||
|| | || 2L17s || 9\19 < g < 1\2 || g = 37\76 || 9\19 < g < 10\21 || 10\21 < g < 11\23 || 11\23 < g < 12\25 || -8+17g || -2g+1 || | ||
|| | || 3L16s || 6\19 < g < 1\3 || g = 37\114 || 6\19 < g < 7\22 || 7\22 < g < 8\25 || 9\28 < g < 10\31 || -5+16g || 1-3g || | ||
|| | || 4L15s || 14\19 < g < 3\4 || g = 113\152 || 14\19 < g < 17\23 || 17\23 < g < 20\27 || 20\27 < g < 23\31 || -11+15g || -4g+3 || | ||
|| | || 5L14s || 15\19 < g < 4\5 || g = 151\190 || 15\19 < g < 19\24 || 19\24 < g < 23\29 || 23\29 < g < 27\34 || -11+14g || -5g+4 || | ||
|| | || 6L13s || 3\19 < g < 1\6 || g = 37\228 || 3\19 < g < 4\25 || 4\25 < g < 5\31 || 5\31 < g < 6/37 || -2+13g || -6g+1 || | ||
|| | || 7L12s || 8\19 < g < 3\7 || g = 113\266 || 8\19 < g < 11\26 || 11\26 < g < 14\33 || 14\33 < g < 17\40 || -5+12g || -7g+3 || | ||
|| | || 8L11s || 7\19 < g < 3\8 || g = 113\304 || 7\19 < g < 10\27 || 10\27 < g < 13\35 || 13\35 < g < 16\43 || -4+11g || -8g+3 || | ||
|| | || 9L10s || 2\19 < g < 1\9 || g = 37\342 || 2\19 < g < 3\28 || 3\28 < g < 4\37 || 4\37 < g < 5\46 || -1+10g || -9g+1 || | ||
|| | || 10L9s || 17\19 < g < 9\10 || g = 341\380 || 17\19 < g < 26\29 || 26\29 < g < 35\39 || 35\39 < g < 44\49 || -8+9g || -10g+9 || | ||
|| | || 11L8s || 12\19 < g < 7\11 || g = 265\418 || 12\19 < g < 19\30 || 19\30 < g < 26\41 || 26\41 < g < 33\52 || -5+8g || -11g+7 || | ||
|| | || 12L7s || 11\19 < g < 7\12 || g = 265\456 || 11\19 < g < 18\31 || 18\31 < g < 25\43 || 25\43 < g < 32\55 || -4+7g || -12g+7 || | ||
|| | || 13L6s || 16\19 < g < 11\13 || g = 417\494 || 16\19 < g < 27\32 || 27\32 < g < 38\45 || 38\45 < g < 49\58 || -5+6g || -13g+11 || | ||
|| | || 14L5s || 4\19 < g < 3\14 || g = 113\532 || 4\19 < g < 7\33 || 7\33 < g < 10\47 || 10\47 < g < 13\61 || -1+5g || -14g+3 || | ||
|| | || 15L4s || 5\19 < g < 4\15 || g = 151\570 || 5\19 < g < 9\34 || 9\34 < g < 13\49 || 13\49 < g < 17\64 || -1+4g || -15g+4 || | ||
|| | || 16L3s || 13\19 < g < 11\16 || g = 417\608 || 13\19 < g < 24\35 || 24\35 < g < 35\51 || 35\51 < g < 46\67 || -2+3g || -16g+11 || | ||
|| | || 17L2s || 10\19 < g < 9\17 || g = 341\646 || 10\19 < g < 19\36 || 19\36 < g < 28\53 || 28\53 < g < 37\70 || -1+2g || -17g+9 || | ||
|| | || 18L1s || 1\19 < g < 1\18 || g = 37\684 || 1\19 < g < 2\37 || 2\37 < g < 3\55 || 3\55 < g < || g || -18g+1 || | ||
=20= | =20= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L19s || 19\20 < g < 1 || g = 39\40 || 19\20 < g < 20\21 || 20\21 < g < 21\22 || 21\22 < g < 22\23 || -18+19g || -g+1 || | |||
|| | || 2L18s || 9\20 < g < 1\2 || g = 19\40 || 9\20 < g < 10\22 || 10\22 < g < 11\24 || 11\24 < g < 12\26 || -4+9g || -g+1\2 || | ||
|| | || 3L17s || 13\20 < g < 2\3 || g = 79\120 || 13\20 < g < 15\23 || 15\23 < g < 17\26 || 17\26 < g < 20\29 || -11+17g || -3g+2 || | ||
|| | || 4L16s || 4\20 < g < 1\4 || g = 9\40 || 4\20 < g < 5\24 || 5\24 < g < 6\28 || 6\28 < g < 7\32 || -3\4+4g || -g+1\4 || | ||
|| | || 5L15s || 3\20 < g < 1\5 || g = 7\40 || 3\20 < g < 4\25 || 4\25 < g < 5\30 || 5\30 < g < 6\35 || -2\5+3g || -g+1\5 || | ||
|| | || 6L14s || 3\20 < g < 1\6 || g = 19\120 || 3\20 < g < 4\26 || 4\26 < g < 5\32 || 5\32 < g < 6\38 || -1+7g || -3g+1\2 || | ||
|| | || 7L13s || 17\20 < g < 6\7 || g = 239\280 || 17\20 < g < 23\27 || 23\27 < g < 29\34 || 29\34 < g < 35\41 || -11+13g || -7g+6 || | ||
|| | || 8L12s || 2\20 < g < 1\8 || g = 9\80 || 2\20 < g < 3\28 || 3\28 < g < 4\36 || 4\36 < g < 5\44 || -1\4+3g || -2g+1\4 || | ||
|| | || 9L11s || 11\20 < g < 5\9 || g = 199\360 || 11\20 < g < 16\29 || 16\29 < g < 21\38 || 21\38 < g < 26\47 || -6+11g || -9g+5 || | ||
|| 10L10s || 1\20 < g < 1\10 || g = 3\40 || 1\20 < g < 2\30 || 2\30 < g < 3\40 || 3\40 < g < 4\50 || g || -g+1\10 || | |||
|| 11L9s || 9\20 < g < 5\11 || g = 199\440 || 9\20 < g < 14\31 || 14\31 < g < 19\42 || 19\42 < g < 24\53 || -4+9g || -11g+5 || | |||
|| 12L8s || 3\20 < g < 2\12 || g = 19\120 || 3\20 < g < 5\32 || 5\32 < g < 7\44 || 7\44 < g < 9\56 || -1\4+2g || -3g+1\2 || | |||
|| 13L7s || 3\20 < g < 2\13 || g = 79\520 || 3\20 < g < 5\33 || 5\33 < g < 7\46 || 7\46 < g < 9\59 || -1+7g || -13g+2 || | |||
|| 14L6s || 7\20 < g < 5\14 || g = 99\280 || 7\20 < g < 12\34 || 12\34 < g < 17\48 || 17\48 < g < 22\62 || -1+3g || -7g+5\2 || | |||
|| | || 15L5s || 1\20 < g < 1\15 || g = 7\120 || 1\20 < g < 2\35 || 2\35 < g < 3\50 || 3\50 < g < 4\65 || g || -3g+1\5 || | ||
|| | || 16L4s || 1\20 < g < 1\16 || g = 9\160 || 1\20 < g < 2\36 || 2\36 < g < 3\52 || 3\52 < g < 4\68 || g || -4g+1\4 || | ||
|| | || 17L3s || 7\20 < g < 6\17 || g = 239\680 || 7\20 < g < 13\37 || 13\37 < g < 19\54 || 19\54 < g < 25\71 || -1+3g || -17g+6 || | ||
|| | || 18L2s || 1\20 < g < 1\18 || g = 19\360 || 1\20 < g < 2\38 || 2\38 < g < 3\56 || 3\56 < g < 4\74 || g || -9g+1\2 || | ||
|| 19L1s || 1\20 < g < 1\19 || g = 39\760 || 1\20 < g < 2\39 || 2\39 < g < 3\58 || 3\58 < g < 4\77 || g || -19g+1 || | |||
=21= | =21= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L20s || 20\21 < g < 1 || g = 41\42 || 20\21 < g < 21\22 || 21\22 < g < 22\23 || 22\23 < g < 23\24 || -19+20g || -g+1 || | |||
|| | || 2L19s || 10\21 < g < 1\2 || g = 41\84 || 10\21 < g < 11\23 || 11\23 < g < 12\25 || 12\25 < g < 13\27 || -9+19g || -2g+1 || | ||
|| | || 3L18s || 6\21 < g < 1\3 || g = 13\42 || 6\21 < g < 7\24 || 7\24 < g < 8\27 || 8\27 < g < 9\30 || -5\3+6g || -g+1\3 || | ||
|| | || 4L17s || 5\21 < g < 1\4 || g = 41\168 || 5\21 < g < 6\25 || 6\25 < g < 7\29 || 7\29 < g < 8\33 || -4+17g || -4g+1 || | ||
|| | || 5L16s || 4\21 < g < 1\5 || g = 41\210 || 4\21 < g < 5\26 || 5\26 < g < 6\31 || 6\31 < g < 7\37 || -3+16g || -5g+1 || | ||
|| | || 6L15s || 3\21 < g < 1\6 || g = 13\84 || 3\21 < g < 4\27 || 4\27 < g < 5\33 || 5\33 < g < 6\39 || -2\3+5g || -2g+1\3 || | ||
|| | || 7L14s || 2\21 < g < 1\7 || g = 5\42 || 2\21 < g < 3\28 || 3\28 < g < 4\35 || 4\35 < g < 5\42 || -1\7+2g || -g+1\7 || | ||
|| | || 8L13s || 13\21 < g < 5\8 || g = 209\336 || 13\21 < g < 18\29 || 18\29 < g < 23\37 || 23\37 < g < 28\45 || -8+13g || -8g+5 || | ||
|| | || 9L12s || 2\21 < g < 1\9 || g = 13\126 || 2\21 < g < 3\30 || 3\30 < g < 4\39 || 4\39 < g < 5\48 || -1\3+4g || -3g+1\3 || | ||
|| | || 10L11s || 2\21 < g < 1\10 || g = 41\420 || 2\21 < g < 3\31 || 3\31 < g < 4\41 || 4\41 < g < 5\51 || -1+11g || -10g+1 || | ||
|| | || 11L10s || 19\21 < g < 10\11 || g = 419\462 || 19\21 < g < 29\32 || 29\32 < g < 39\43 || 39\43 < g < 49\54 || -9+10g || -11g+10 || | ||
|| | || 12L9s || 5\21 < g < 3\12 || g = 41\168 || 5\21 < g < 8\33 || 8\33 < g < 11\45 || 11\45 < g < 14\57 || -2\3+3g || -4g+1 || | ||
|| | || 13L8s || 8\21 < g < 5\13 || g = 209\546 || 8\21 < g < 13\34 || 13\34 < g < 18\47 || 18\47 < g < 23\70 || -3+8g || -13g+5 || | ||
|| | || 14L7s || 1\21 < g < 1\14 || g = 5\84 || 1\21 < g < 2\35 || 2\35 < g < 3\49 || 3\49 < g < 4\63 || g || -2g+1\7 || | ||
|| | || 15L6s || 4\21 < g < 3\15 || g = 41\210 || 4\21 < g < 7\36 || 7\36 < g < 10\51 || 10\51 < g < 13\66 || -1\3+2g || -5g+1 || | ||
|| | || 16L5s || 17\21 < g < 13\16 || g = 545\672 || 17\21 < g < 30\37 || 30\37 < g < 43\53 || 43\53 < g < 56\69 || -4+5g || -16g+13 || | ||
|| | || 17L4s || 16\21 < g < 13\17 || g = 545\714 || 16\21 < g < 29\38 || 29\38 < g < 42\55 || 42\55 < g < 55\72 || -3+4g || -17g+13 || | ||
|| | || 18L3s || 1\21 < g < 1\18 || g = 13\252 || 1\21 < g < 2\39 || 2\39 < g < 3\57 || 3\57 < g < 4\75 || g || -6g+1\3 || | ||
|| | || 19L2s || 11\21 < g < 10\19 || g = 419\798 || 11\21 < g < 21\40 || 21\40 < g < 31\59 || 31\59 < g < 41\78 || -1+2g || -19g+10 || | ||
|| 20L1s || 1\21 < g < 1\20 || g = 41\840 || 1\21 < g < 2\41 || 2\41 < g < 3\61 || 3\61 < g < 4/81 || g || -20g+1 || | |||
=22= | =22= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L21s || 21\22 < g < 1 || g = 43\44 || 21\22 < g < 22\23 || 22\23 < g < 23\24 || 23\24 < g < 24/25 || -20+21g || -g+1 || | |||
|| | || 2L20s || 10\22 < g < 1\2 || g = 21\44 || 10\22 < g < 11\24 || 11\24 < g < 12\26 || 12\26 < g < 13\28 || -9\2+10g || -g+1\2 || | ||
|| | || 3L19s || 7\22 < g < 1\3 || g = 43\132 || 7\22 < g < 8\25 || 8\25 < g < 9\28 || 9\28 < g < 10\31 || -6+19g || 1-3g || | ||
|| | || 4L18s || 5\22 < g < 1\4 || g = 21\88 || 5\22 < g < 6\26 || 6\26 < g < 7\30 || 7\30 < g < 8\34 || -2+9g || -2g+1\2 || | ||
|| | || 5L17s || 13\22 < g < 3\5 || g = 131\220 || 13\22 < g < 16\27 || 16\27 < g < 19\32 || 19\32 < g < 22\37 || -10+17g || -5g+3 || | ||
|| | || 6L16s || 7\22 < g < 2\6 || g = 43\132 || 7\22 < g < 9\28 || 9\28 < g < 11\34 || 11\34 < g < 13\40 || -5\2+8g || 1-3g || | ||
|| | || 7L15s || 3\22 < g < 1\7 || g = 43\308 || 3\22 < g < 4\29 || 4\29 < g < 5\36 || 5\36 < g < 6\43 || -2+15g || -7g+1 || | ||
|| | || 8L14s || 8\22 < g < 3\8 || g = 65\176 || 8\22 < g < 11\30 || 11\30 < g < 14\38 || 14\38 < g < 17\46 || -5\2+7g || -4g+3\2 || | ||
|| | || 9L13s || 17\22 < g < 7\9 || g = 307\396 || 17\22 < g < 24\31 || 24\31 < g < 31\40 || 31\40 < g < 38\49 || -10+13g || -9g+7 || | ||
|| | || 10L12s || 2\22 < g < 1\10 || g = 21\220 || 2\22 < g < 3\32 || 3\32 < g < 4\42 || 4\42 < g < 5\52 || -1\2+6g || -5g+1\2 || | ||
|| | || 11L11s || 1\22 < g < 1\11 || g = 3\44 || 1\22 < g < 2\33 || 2\33 < g < 3\44 || 3\44 < g < 4\55 || g || -g+1\11 || | ||
|| | || 12L10s || 9\22 < g < 5\12 || g = 109\264 || 9\22 < g < 14\34 || 14\34 < g < 19\46 || 19\46 < g < 24\58 || -2+5g || -6g+5\2 || | ||
|| | || 13L9s || 5\22 < g < 3\13 || g = 131\572 || 5\22 < g < 8\35 || 8\35 < g < 11\48 || 11\48 < g < 14\61 || -2+9g || -13g+3 || | ||
|| | || 14L8s || 3\22 < g < 2\14 || g = 43\308 || 3\22 < g < 5\36 || 5\36 < g < 7\50 || 7\50 < g < 9\64 || 4g-1\2 || -7g+1 || | ||
|| | || 15L7s || 19\22 < g < 13\15 || g = 571\660 || 19\22 < g < 32\37 || 32\37 < g < 45\52 || 45\52 < g < 58\67 || -6+7g || -15g+13 || | ||
|| | || 16L6s || 4\22 < g < 3\16 || g = 65\352 || 4\22 < g < 7\38 || 7\38 < g < 10\54 || 10\54 < g < 13\70 || 3g-1\2 || -8g+3\2 || | ||
|| | || 17L5s || 9\22 < g < 7\17 || g = 207\748 || 9\22 < g < 16\39 || 16\39 < g < 23\56 || 23\56 < g < 30\73 || -2+5g || -17g+7 || | ||
|| | || 18L4s || 6\22 < g < 5\18 || g = 109\396 || 6\22 < g < 11\40 || 11\40 < g < 16\58 || 16\58 < g < 21\76 || -1\2+2g || -9g+5\2 || | ||
|| | || 19L3s || 15\22 < g < 13\19 || g = 571\836 || 15\22 < g < 28\41 || 28\41 < g < 41\60 || 41\60 < g < 54\79 || -2+3g || -19g+13 || | ||
|| | || 20L2s || 1\22 < g < 1\20 || g = 21\440 || 1\22 < g < 2\42 || 2\42 < g < 3\62 || 3\62 < g < 4\72 || g || -10g+1\2 || | ||
|| 21L1s || 1\22 < g < 1\21 || g = 43\924 || 1\22 < g < 2\43 || 2\43 < g < 3\64 || 3\64 < g < 4\85 || g || -21g+1 || | |||
=23= | =23= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L22s || <span style="line-height: 15.6000003814697px;">22\23 < g < 1</span> || g = 45\46 || <span style="line-height: 15.6000003814697px;">22\23 </span>< g < 23\24 || <span style="line-height: 15.6000003814697px;">23\24 </span>< g < 24\25 || 24\25 < g < 25\26 || -21+22g || -g+1 || | |||
|| 2L21s || 11\23 < g < 1\2 || g = 45\92 || <span style="line-height: 15.6000003814697px;">11\23 </span>< g < 12\25 || 12\25 < g < 13\27 || 13\27 < g < 14\29 || -10+21g || -2g+1 || | |||
|| | || 3L20s || 15\23 < g < 2\3 || g = 91\138 || 15\23 < g < 17\26 || <span style="line-height: 15.6000003814697px;">17\26 </span>< g < 19\29 || 19\29 < g < 21\32 || -13+20g || 1-3g || | ||
|| 4L19s || 17\23 < g < 3\4 || g = 137\184 || <span style="line-height: 15.6000003814697px;">17\23 </span>< g < 20\27 || 20\27 < g < 23\31 || 23\31 < g < 26\35 || -14+19g || -4g+3 || | |||
|| 5L18s || 9\23 < g < 2\5 || g = 91\230 || 9\23 < g < 11\28 || 11\28 < g < 13\33 || 13\33 < g < 15\38 || -7+18g || -5g+2 || | |||
|| | || 6L17s || 19\23 < g < 5\6 || g = 229\276 || 19\23 < g < 24\29 || 24\29 < g < 29\35 || 29\35 < g < 34\41 || -15+17g || 1-6g || | ||
|| 7L16s || 13\23 < g < 4\7 || g = 183\322 || 13\23 < g < 17\30 || <span style="line-height: 15.6000003814697px;">17\30 < g < 21\37</span> || 21\37 < g < 25\44 || -9+16g || -7g+4 || | |||
|| 8L15s || 20\23 < g < 7\8 || g = 321\368 || 20\23 < g < 27\31 || 27\31 < g < 34\39 || 34\39 < g < 41\47 || -13+15g || -8g+7 || | |||
|| | || 9L14s || 5\23 < g < 2\9 || g = 91\414 || 5\23 < g < 7\32 || 7\32 < g < 9\41 || 9\41 < g < 11\50 || 9g-7 || <span style="line-height: 15.6000003814697px;">11-14g</span> || | ||
|| | || 10L13s || 16\23 < g < 7\10 || g = 321\460 || 16\23 < g < 23\33 || 23\33 < g < 30\43 || 30\43 < g < 37\53 || -9+13g || -10g+7 || | ||
|| | || 11L12s || 2\23 < g < 1\11 || g = 45\506 || 2\23 < g < 3\34 || 3\34 < g < 4\45 || 4\45 < g < 5\56 || -11g+1 || 12g-1 || | ||
|| | || 12L11s || 21\23 < g < 11\12 || g = 505\552 || 21\23 < g < 32\35 || 32\35 < g < 43\47 || 43\47 < g < 54\59 || <span style="line-height: 15.6000003814697px;">11g-10</span> || 11-12g || | ||
|| | || 13L10s || 7\23 < g < 4\13 || g = 183\598 || 7\23 < g < 11\36 || 11\36 < g < 15\49 || 15\49 < g < 19\62 || 4-13g || 10g-3 || | ||
|| | || 14L9s || 18\23 < g < 11\14 || g = 505\644 || 18\23 < g < 29\37 || 29\37 < g < 40\51 || 40\51 < g < 51\65 || 14g-3 || -9g+2 || | ||
|| | || 15L8s || 3\23 < g < 2\15 || g = 91\690 || 3\23 < g < 5\38 || 5\38 < g < 7\53 || 7\53 < g < 9\68 || 2-15g || 8g-1 || | ||
|| 16L7s || 10\23 < g < 7\16 || g = 321\736 || 10\23 < g < 17\39 || 17\39 < g < 24\55 || 24\55 < g < 31\71 || 7g-3 || <span style="line-height: 15.6000003814697px;">-16g+7</span> || | |||
|| | || 17L6s || 4\23 < g < 3\17 || g = 137\782 || 4\23 < g < 7\40 || 7\40 < g < 10\57 || 10\57 < g < 13\74 || -1+6g || -17g+3 || | ||
|| | || 18L5s || 14\23 < g < 11\18 || g = 505\828 || 14\23 < g < 25\41 || 25\41 < g < 36\59 || 36\59 < g < 47\77 || 11-18g || 5g-4 || | ||
|| | || 19L4s || 6\23 < g < 5\19 || g = 229\874 || 6\23 < g < 11\42 || 11\42 < g < 16\61 || 16\61 < g < 21\80 || -1+4g || -19g+5 || | ||
|| | || 20L3s || 8\23 < g < 7\20 || g = 321\920 || 8\23 < g < 15\43 || 15\43 < g < 22\63 || 22\63 < g < 29\83 || -1+3g || -20g+13 || | ||
|| 21L2s || 12\23 < g < 11\21 || g = 505\966 || 12\23 < g < 23\44 || 23\44 < g < 34\65 || 34\65 < g < 45\86 || -1+2g || -21g+1 || | |||
|| 22L1s || 1\23 < g < 1\22 || g = 45\1012 || 1\23 < g < 2\45 || 2\45 < g < 3\67 || g || -22g+1 || | || 22L1s || 1\23 < g < 1\22 || g = 45\1012 || 1\23 < g < 2\45 || 2\45 < g < 3\67 || 3\67 < g < 4\89 || g || -22g+1 || | ||
=24= | =24= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L23s || 23\24 < g < 1 || g = 47\48 || 23\24 < g < 24\25 || 24\25 < g < 25\26 || 25\26 < g < 26\27 || -22+23g || -g+1 || | |||
|| | || 2L22s || 11\24 < g < 1\2 || g = 23\48 || 11\24 < g < 12\26 || 12\26 < g < 13\28 || 13\28 < g < 14\30 || -g+1/2 || -5+11g || | ||
|| | || 3L21s || 7\24 < g < 1\3 || g = 15\48 || 7\24 < g < 8\27 || 8\27 < g < 9\30 || 9\30 < g < 10\33 || 2/3-2g || -1/3+g || | ||
|| | || 4L20s || 5\24 < g < 1\4 || g = 11\48 || 5\24 < g < 6\28 || 6\28 < g < 7\32 || 7\32 < g < 8\36 || -1+5g || -g+1/4 || | ||
|| | || 5L19s || 19\24 < g < 4\5 || g = 191\240 || 19\24 < g < 23\29 || 23\29 < g < 27\34 || 27\34 < g < 31\39 || -15+19g || -5g+4 || | ||
|| | || 6L18s || 3\24 < g < 1\6 || g = 7\48 || 3\24 < g < 4\30 || 4\30 < g < 5\36 || 5\36 < g < 6\42 || -1\3+3g || 1\6-g || | ||
|| | || 7L17s || 17\24 < g < 5\7 || g = 239\336 || 17\24 < g < 22\31 || 22\31 < g < 27\38 || 27\38 < g < 32\455 || 5-17g || 7g-2 || | ||
|| | || 8L16s || 2\24 < g < 1\8 || g = 5\48 || 2\24 < g < 3\32 || 3\32 < g < 4\40 || 4\40 < g < 5\48 || -1\8+2g || -g+1\8 || | ||
|| | || 9L15s || 5\24 < g < 2\9 || g = 31\144 || 5\24 < g < 7\33 || 7\33 < g < 9\42 || 9\42 < g < 11\51 || 5g-1 || 2\3-3g || | ||
|| | || 10L14s || 7\24 < g < 3\10 || g = 71\240 || 7\24 < g < 10\34 || 10\34 < g < 13\44 || 13\44 < g < 16\54 || -4+7g || -3\2+5g || | ||
|| | || 11L13s || 13\24 < g < 6\11 || g = 287\528 || 13\24 < g < 19\35 || 19\35 < g < 25\46 || 25|46 < g < 31\57 || 13g-7 || -11g+6 || | ||
|| 12L12s || 1\24 < g < 1\12 || g = 3\48 || 1\24 < g < 2\36 || 2\36 < g < 3\48 || 3\48 < g < 4\60 || g || 1\12-g || | |||
| | || 13L11s || 11\24 < g < 6\13 || g = 287\624 || 11\24 < g < 17\37 || 17\37 < g < 23\50 || 23\50 < g < 29\63 || 11g-5 || 6-13g || | ||
|| 14L10s || 17\24 < g < 10\14 || g = 239\336 || 17\24 < g < 27\38 || 27\38 < g < 37\52 || 37\52 < g < 47\66 || 3\2-5g || 7g-2 || | |||
|| | || 15L9s || 3\24 < g < 2\15 || g = 31\240 || 3\24 < g < 5\39 || 5\39 < g < 7\54 || 7\54 < g < 9\69 || 3g-1\3 || -5g+2\3 || | ||
|| | || 16L8s || 1\24 < g < 1\16 || g = 5\96 || 1\24 < g < 2\40 || 2\40 < g < 3\56 || 3\56 < g < 4\72 || g || 1\8-2g || | ||
|| | || 17L7s || 7\24 < g < 5\17 || g = 239\816 || 7\24 < g < 12\41 || 12\41 < g < 17\58 || 17\58 < g < 22\75 || -7g+4 || 17g-12 || | ||
|| 18L6s || 1\24 < g < 1\18 || g = 7\144 || 1\24 < g < 2\42 || 2\42 < g < 3\60 || 3\60 < g < 4\78 || g || 1\6-3g || | |||
|| 19L5s || 5\24 < g < 4\19 || g = 191\912 || 5\24 < g < 9\43 || 9\43 < g < 13\62 || 13\62 < g < 17\81 || -5g+4 || -15+19g || | |||
|| | || 20L4s || 1\24 < g < 1\20 || g = 11\240 || 1\24 < g < 2\44 || 2\44 < g < 3\64 || 3\64 < g < 4\84 || g || -5g+1\4 || | ||
|| | || 21L3s || 1\24 < g < 1\21 || g = 15\336 || 1\24 < g < 2\45 || 2\45 < g < 3\66 || 3\66 < g < 4\87 || g || -7g+1\3 || | ||
|| | || 22L2s || 1\24 < g < 1\22 || g = 23\264 || 1\24 < g < 2\46 || 2\46 < g < 3\68 || 3\68 < g < 4\90 || g || -11g+1\2 || | ||
|| | || 23L1s || 1\24 < g < 1\23 || g = 47\1104 || 1\24 < g < 2\47 || 2\47 < g < 3\70 || 3\70 < g < 4\93 || g || -23g+1 || | ||
=25= | =25= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L24s || 24\25 < g < 1 || g = 49\50 || 24\25 < g < 25\26 || 25\26 < g < 26\27 || 26\27 < g < 27\28 || -23+24g || -g+1 || | |||
|| | || 2L23s || 12\25 < g < 1\2 || g = 49\100 || 12\25 < g < 13\27 || 13\27 < g < 14\29 || 14\29 < g < 15\31 || 2g-11 || 1-2g || | ||
|| | || 3L22s || 8\25 < g < 1\3 || g = 49\150 || 8\25 < g < 9\28 || 9\28 < g < 10\31 || 10\31 < g < 11\34 || -7+22g || 1-3g || | ||
|| | || 4L21s || 6\25 < g < 1\4 || g = 49\200 || 6\25 < g < 7\29 || 7\29 < g < 8\33 || 8\33 < g < 9\37 || -5+21g || -4g+1 || | ||
|| | || 5L20s || 4\25 < g < 1\5 || g = 9\50 || 4\25 < g < 5\30 || 5\30 < g < 6\35 || 6\35 < g < 7\40 || -3\5+4g || 1\5-g || | ||
|| | || 6L19s || 4\25 < g < 1\6 || g = 49\300 || 4\25 < g < 5\31 || 5\31 < g < 6\37 || 6\37 < g < 7\43 || -3+19g || -6g+1 || | ||
|| | || 7L18s || 7\25 < g < 2\7 || g = 99\350 || 7\25 < g < 9\32 || 9\32 < g < 11\39 || 11\39 < g < 13\46 || -5+18g || -7g+2 || | ||
|| | || 8L17s || 3\25 < g < 1\8 || g = 49\400 || 3\25 < g < 4\33 || 4\33 < g < 5\41 || 5\41 < g < 6\47 || <span style="line-height: 15.6000003814697px;">17g-2</span> || 1-8g || | ||
|| | || 9L16s || 11\25 < g < 4\9 || g = 199\450 || 11\25 < g < 15\34 || 15\34 < g < 19\43 || 19\43 < g < 23\52 || -7+16g || <span style="line-height: 15.6000003814697px;">-9g+4</span> || | ||
|| | || 10L15s || 2\25 < g < 1\10 || g = 9\100 || 2\25 < g < 3\35 || 3\35 < g < 4\45 || 4\45 < g < 5\55 || -1\5+3g || 1\5-2g || | ||
|| 11L14s || 9\25 < g < 4\11 || g = 199\550 || 9\25 < g < 13\36 || 13\36 < g < 17\47 || 17\47 < g < 21\58 || 14g-5 || -11g+4 || | |||
|| | || 12L13s || 2\25 < g < 1\12 || g = 49\600 || 2\25 < g < 3\37 || 3\37 < g < 4\49 || 4\49 < g < 5\61 || 13g-1 || 1-12g || | ||
|| | || 13L12s || 23\25 < g < 12\13 || g = 599\650 || 23\25 < g < 35\38 || 35\38 < g < 47\51 || 47\51 < g < 59\64 || 12g-11 || 12-13g || | ||
|| | || 14L11s || 16\25 < g < 9\14 || g = 449\700 || 16\25 < g < 25\39 || 25\39 < g < 34\53 || 34\53 < g < 43\67 || -7+11g || -14g+9 || | ||
|| | || 15L10s || 3\25 < g < 2\15 || g = 19\150 || 3\25 < g < 5\40 || <span style="line-height: 15.6000003814697px;">5\40 </span>< g < 7\55 || 7\55 < g < 9\70 || -2g+1\5 || 3g-2\5 || | ||
|| | || 16L9s || 14\25 < g < 9\16 || g = 449\800 || 14\25 < g < 23\41 || 23\41 < g < 32\57 || 32\57 < g < 41\73 || 9g-5 || 9-16g || | ||
|| | || 17L8s || 22\25 < g < 15\17 || g = 749\850 || 22\25 < g < 37\42 || 37\42 < g < 52\59 || 52\59 < g < 67\76 || 8g-7 || -17g+15 || | ||
|| 18L7s || 18\25 < g < 13\18 || g = 649\900 || 18\25 < g < 31\43 || 31\43 < g < 44\61 || 44\61 < g < 57\79 || g || 1\6-3g || | |||
|| | || 19L6s || 21\25 < g < 16\19 || g = 799\950 || 21\25 < g < 37\44 || 37\44 < g < 53\63 || 53\63 < g < 69\82 || -19g+16 || -5+6g || | ||
|| 20L5s || 1\25 < g < 1\20 || g = 9\200 || 1\25 < g < 2\45 || 2\45 < g < 3\65 || 3\65 < g < 4\85 || g || -4g+1\5 || | |||
|| | || 21L4s || 16\21 < g < 19\25 || g = 799\1050 || 19\25 < g < 35\46 || 35\46 < g < 51\67 || 51\67 < g < 71\88 || 4g-3 || -21g+16 || | ||
|| | || 22L3s || 17\25 < g < 15\22 || g = 749\1100 || 17\25 < g < 32\47 || 32\47 < g < 47\69 || 47\69 < g < 62\91 || 3g-2 || -22g+15 || | ||
|| | || 23L2s || 13\25 < g < 12\23 || g = 599\1150 || 13\25 < g < 25\48 || 25\48 < g < 37\71 || 37\71 < g < 49\94 || -2g+1 || 23g-11 || | ||
|| 24L1s || 1\25 < g < 1\24 || g = 49\1200 || 1\25 < g < 2\49 || 2\49 < g < 3\73 || 3\73 < g < 4\97 || g || -24g+1 || | |||
=26= | =26= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L25s || 25\26 < g < 1 || g = 51\52 || 25\26 < g < 26\27 || 26\27 < g < 27\28 || 27\28 < g < 28\29 || -24+25g || -g+1 || | |||
|| | || 2L24s || 12\26 < g < 1\2 || g = 25\52 || <span style="line-height: 15.6000003814697px;">12\26</span> < g < 13\28 || 13\28 < g < 14\30 || 14\30 < g < 15\32 || 12g-11\2 || 1\2-g || | ||
|| | || 3L23s || 17\26 < g < 2\3 || g = 103\156 || 17\26 < g < 19\29 || 19\29 < g < 21\32 || 21\32 < g < 23\35 || -15+23g || 2-3g || | ||
|| | || 4L22s || 6\26 < g < 1\4 || g = 25\104 || 6\26 < g < 7\30 || 7\30 < g < 8\34 || 8\34 < g < 9\38 || 11g-5\2 || <span style="line-height: 15.6000003814697px;">-2g+1\2</span> || | ||
|| | || 5L21s || 5\26 < g < 1\5 || g = 51\260 || 5\26 < g < 6\31 || 6\31 < g < 7\36 || 7\36 < g < 8\41 || -4+21g || 1-5g || | ||
|| 6L20s || 4\26 < g < 1\6 || g = 25\156 || 4\26 < g < 5\32 || 5\32 < g < 6\38 || 6\38 < g < 7\44 || -3\2+10g || -3g+1\2 || | |||
|| | || 7L19s || 11\26 < g < 3\7 || g = 155\364 || 11\26 < g < 14\33 || 14\33 < g < 17\40 || 17\40 < g < 20\47 || -8+19g || -7g+3 || | ||
|| | || 8L18s || 3\26 < g < 1\8 || g = 25\208 || 3\26 < g < 4\34 || 4\34 < g < 5\42 || 5\42 < g < 6\50 || 9g-1 || 1\2-4g || | ||
|| | || 9L17s || 23\26 < g < 8\9 || g = 415\468 || 23\26 < g < 31\35 || 31\35 < g < 39\44 || 39\44 < g < 47\53 || -15+17g || -9g+8 || | ||
|| | || 10L16s || 5\26 < g < 2\10 || g = 51\260 || 5\26 < g < 7\36 || 7\36 < g < 9\46 || 9\46 < g < 11\56 || -3\2+8g || 1-5g || | ||
|| | || 11L15s || 7\26 < g < 3\11 || g = 155\572 || 7\26 < g < 10\37 || 10\37 < g < 13\48 || 13\48 < g < 16\59 || 15g-4 || -11g+3 || | ||
|| | || 12L14s || 2\26 < g < 1\12 || g = 25\312 || 2\26 < g < 3\38 || 3\38 < g < 4\50 || 4\50 < g < 5\62 || 7g-1\2 || 1\2-6g || | ||
|| | || 13L13s || 1\26 < g < 1\13 || g = 3\52 || 1\26 < g < 2\39 || 2\39 < g < 3\52 || 3\52 < g < 4\65 || g || -g+1\13 || | ||
|| < | || <span style="line-height: 15.6000003814697px;">14L12s</span> || 11\26 < g < 6\14 || g = 155\364 || 11\26 < g < 17\40 || 17\40 < g < 23\54 || 23\54 < g < 29\68 || 6g-5\2 || 3-7g || | ||
|| < | || <span style="line-height: 15.6000003814697px;">15L11s</span> || 19\26 < g < 11\15 || g = 571\780 || 19\26 < g < 30\41 || 30\41 < g < 41\56 || 41\56 < g < 52\71 || -8+11g || -15g+11 || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">16L10s</span> || 8\26 < g < 5\16 || g = 129\416 || 8\26 < g < 13\42 || 13\42 < g < 18\58 || 18\58 < g < 23\74 || -8g+13\2 || 5g-4 || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">17L9s</span> || 3\26 < g < 2\17 || g = 103\884 || 3\26 < g < 5\43 || 5\43 < g < 7\60 || 7\60 < g < 9\77 || 9g-1 || 2-17g || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">18L</span>8s || 10\26 < g < 7\18 || g = 181\468 || 10\26 < g < 17\44 || 17\44 < g < 24\62 || 24\62 < g < 31\80 || 8g-7 || -9g+7\2 || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">19L</span>7s || 15\26 < g < 11\19 || g = 571\988 || 15\26 < g < 26\45 || 26\45 < g < 37\64 || 37\64 < g < 48\83 || 11-19g || -4+7g || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">20L</span>6s || 9\26 < g < 7\20 || g = 181\520 || 9\26 < g < 16\46 || 16\46 < g < 23\66 || 23\66 < g < 30\86 || -1+3g || 7\2-10g || | ||
|| <span style="line-height: 15.6000003814697px;">21L</span>5s || 21\26 < g < 17\21 || g = 883\1092 || 21\26 < g < 38\47 || 38\47 < g < 55\68 || 55\68 < g < 72\89 || 5g-4 || -21g+16 || | |||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">22L</span>4s || 7\26 < g < 6\22 || g = 155\572 || 7\26 < g < 13\48 || 13\48 < g < 19\70 || 19\70 < g < 25\92 || 2g-1\2 || -11g+3 || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">23L</span>3s || 9\26 < g < 8\23 || g = 415\1196 || 9\26 < g < 17\49 || 17\49 < g < 25\72 || 25\72 < g < 33/95 || 3g-1 || -23g+8 || | ||
|| < | || <span style="line-height: 15.6000003814697px;">24L</span>2s || 1\26 < g < 1\24 || g = 25\312 || 1\26 < g < 2\50 || 2\50 < g < 3\74 || 3\74 < g < 4\98 || g || -12g+1\2 || | ||
|| 25L1s || 1\26 < g < 1\25 || g = 51\1300 || 1\26 < g < 2\51 || 2\51< g < 3\76 || g || -25g+1 || | || 25L1s || 1\26 < g < 1\25 || g = 51\1300 || 1\26 < g < 2\51 || 2\51< g < 3\76 || 3\76 < g < 4\101 || g || -25g+1 || | ||
=27= | =27= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L26s || 26\27 < g < 1 || g = 53\54 || <span style="line-height: 15.6000003814697px;">26\27 < g < 27\28</span> || 27\28 < g < 28\29 || 28\29 < g < 29\30 || -25+26g || -g+1 || | |||
|| 2L25s || 13\27 < g < 1\2 || g = 53\108 || <span style="line-height: 15.6000003814697px;">13</span>\27 < g < 14\29 || 14\29 < g < 15\31 || 15\31 < g < 16\33 || 25g-12 || -2g+1 || | |||
|| | || 3L24s || 8\27 < g < 1\3 || g = 17\54 || 8\27 < g < 9\30 || 9\30 < g < 10\33 || 10\33 < g < 11\36 || -7\3+8g || 1-3-g || | ||
|| 4L23s || 20\27 < g < 3\4 || g = 161\216 || 20\27 < g < 23\31 || 23\31 < g < 26\35 || 26\35 < g < 29\39 || 23g-17 || -4g+3 || | |||
|| | || 5L22s || 16\27 < g < 3\5 || g = 161\270 || 16\27 < g < 19\32 || 19\32 < g < 22\37 || 22\37 < g < 25\42 || -13+22g || 3-5g || | ||
|| | || 6L21s || 4\27 < g < 1\6 || g = 17\108 || 4\27 < g < 5\33 || 5\33 < g < 6\39 || 6\39 < g < 7\45 || -1+7g || -2g+1\3 || | ||
|| | || 7L20s || 23\27 < g < 6\7 || g = 323\378 || 23\27 < g < 29\34 || 29\34 < g < 35\41 || 35\41 < g < 41\48 || -17+20g || -7g+6 || | ||
|| | || 8L19s || 10\27 < g < 3\8 || g = 161\432 || 10\27 < g < 13\35 || 13\35 < g < 16\43 || 16\43 < g < 19\51 || 19g-7 || 3-8g || | ||
|| | || 9L18s || 2\27 < g < 1\9 || g = 5\54 || 2\27 < g < 3\36 || 3\36 < g < 4\45 || 4\45 < g < 5\54 || -1\9+2g || -g+1\9 || | ||
|| | || 10L17s || 8\27 < g < 3\10 || g = 161\540 || 8\27 < g < 11\37 || 11\37 < g < 14\47 || 14\47 < g < 17\57 || -5+17g || 3-10g || | ||
|| 11L16s || 22\27 < g < 9\11 || g = 485\594 || 22\27 < g < 31\38 || 31\38 < g < 40\49 || 40\49 < g < 49\60 || 16g-13 || -11g+9 || | |||
|| | || 12L15s || 2\27 < g < 1\12 || g = 17\216 || 2\27 < g < 3\39 || 3\39 < g < 4\51 || 4\51 < g < 5\63 || 5g-1\3 || 1\3-4g || | ||
|| | || 13L14s || 2\27 < g < 1\13 || g = 53\702 || 2\27 < g < 3\40 || 3\40 < g < 4\53 || 4\53 < g < 5\66 || 14g-1 || -13g+1 || | ||
|| | || 14L13s || 25\27 < g < 13\14 || g = 701\756 || 25\27 < g < 38\41 || 38\41 < g < 51\55 || 51\55 < g < 64\69 || 13g-12 || 13-14g || | ||
|| | || 15L12s || 7\27 < g < 4\15 || g = 71\270 || 7\27 < g < 11\42 || 11\42 < g < 15\57 || 15\57 < g < 19\72 || -4+4g || -5g+14\3 || | ||
|| | || 16L11s || 5\27 < g < 3\16 || g = 161\864 || 5\27 < g < 8\43 || 8\43 < g < 11\59 || 11\59 < g < 14\75 || 11g-2 || -16g+3 || | ||
|| | || 17L10s || 19\27 < g < 12\17 || g = 647\918 || 19\27 < g < 31\44 || 31\44 < g < 43\61 || 43\61 < g < 55\78 || 10g-7 || 12-17g || | ||
|| | || 18L9s || 1\27 < g < 1\18 || g = 5\108 || 1\27 < g < 2\45 || 2\45 < g < 3\63 || 3\63 < g < 4\81 || g || -2g+1\9 || | ||
|| | || 19L8s || 17\27 < g < 12\19 || g = 647\1026 || 17\27 < g < 29\46 || 29\46 < g < 41\65 || 41\65 < g < 53\84 || -5+8g || 12-19g || | ||
|| 20L7s || 4\27 < g < 3\20 || g = 161\1080 || 4\27 < g < 7\47 || 7\47 < g < 10\67 || 10\67 < g < 13\87 || -1+7g || 3-20g || | |||
|| 21L6s || 5\27 < g < 4\21 || g = 71\378 || 5\27 < g < 9\48 || 9\48 < g < 13\69 || 13\69 < g < 17\90 || 2g-1\3 || -7g+4 || | |||
|| | || 22L5s || <span style="line-height: 15.6000003814697px;">11</span>\27 < g < 9\22 || g = 485\1188 || 11\27 < g < 20\49 || 20\49 < g < 29\71 || 29\71 < g < 38\93 || 5g-2 || -22g+9 || | ||
|| | || 23L4s || 7\27 < g < 6\23 || g = 323\1242 || 7\27 < g < 13\50 || 13\50 < g < 19\73 || 19\73 < g < 25\96 || 4g-1 || -23g+6 || | ||
|| | || 24L3s || 1\27 < g < 1\24 || g = 17\432 || 1\27 < g < 2\51 || 2/51 < g < 3\75 || 3\75 < g < 4\99 || g || -8g+1\3 || | ||
|| | || 25L2s || 14\27 < g < 13\25 || g = 701\1350 || 14\27 < g < 27\52 || 27\52 < g < 40\77 || 40\77 < g < 53\102 || 2g-1 || -25g+13 || | ||
|| 26L1s || 1\27 < g < 1\26 || g = 53\1404 || 1\27 < g < 2\53 || 2\53 < g < 3\79 || 3\79 < g < 4\105 || g || -26g+1 || | |||
=28= | =28= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L27s || 27\28 < g < 1 || g = 55\56 || 27\28 < g < 28\29 || 28\29 < g < 29\30 || 29\30 < g < 30\31 || -26+27g || -g+1 || | |||
|| | || 2L26s || 13\28 < g < 1\2 || g = 27\56 || 13\28 < g < 14\30 || 14\30 < g < 15\32 || 15\32 < g < 16\34 || 13g-6 || -2g+1\2 || | ||
|| | || 3L25s || 9\28 < g < 1\3 || g = 55\168 || 9\28 < g < 10\31 || <span style="line-height: 15.6000003814697px;">10\31 < g < 11\34</span> || 11\34 < g < 12\37 || -8+25g || 1-3g || | ||
|| | || 4L24s || 6\28 < g < 1\4 || g = 13\56 || 6\28 < g < 7\32 || 7\32 < g < 8\36 || 8\36 < g < 9\40 || 6g-5\4 || -g+1\4 || | ||
|| 5L23s || 11\28 < g < 2\5 || g = 111\280 || 11\28 < g < 13\33 || 13\33 < g < 15\38 || 15\38 < g < 17\43 || -9+23g || 2-5g || | |||
|| | || 6L22s || 9\28 < g < 2\6 || g = 55\168 || 9\28 < g < 11\34 || 11\34 < g < 13\40 || 13\40 < g < 15\46 || -7\2+11g || -3g+1 || | ||
|| | || 7L21s || 3\28 < g < 1\7 || g = 7\56 || 3\28 < g < 4\35 || 4\35 < g < 5\42 || 5\42 < g < 6\49 || -2\7+3g || -g+1\7 || | ||
|| | || 8L20s || 3\28 < g < 1\8 || g = 13\112 || 3\28 < g < 4\36 || 4\36 < g < 5\44 || 5\44 < g < 6\52 || 5g-1\2 || 1\4-2g || | ||
|| | || 9L19s || 3\28 < g < 1\9 || g = 55\504 || 3\28 < g < 4\37 || 4\37 < g < 5\46 || 5\46 < g < 6\55 || -2+19g || -9g+1 || | ||
|| | || 10L18s || 11\28 < g < 4\10 || g = 111\280 || 11\28 < g < 15\38 || 15\38 < g < 19\48 || 19\48 < g < 23\58 || -7\2+4g || 2-5g || | ||
|| | || 11L17s || 5\28 < g < 2\11 || g = 111\616 || 5\28 < g < 7\39 || 7\39 < g < 9\50 || 9\50 < g < 11\61 || 17g-3 || -11g+2 || | ||
|| 12L16s || 2\28 < g < 1\12 || g = 13\168 || 2\28 < g < 3\40 || 3\40 < g < 4\52 || 4\52 < g < 5\64 || 4g-1\4 || 1\4-3g || | |||
|| 13L15s || 15\28 < g < 7\13 || g = 391\728 || 15\28 < g < 22\41 || 22\41 < g < 29\54 || 29\54 < g < 36\67 || 15g-8 || -13g+7 || | |||
|| | || 14L14s || 1\28 < g < 1\14 || g = 3\56 || 1\28 < g < 2\42 || 2\42 < g < 3\56 || 3\56 < g < 4\70 || g || -g+1\14 || | ||
|| < | || <span style="line-height: 15.6000003814697px;">15L13s</span> || 13\28 < g < 7\15 || g = 391\840 || 13\28 < g < 20\43 || 20\43 < g < 27\58 || 27\58 < g < 34\73 || 13g-6 || 7-15g || | ||
|| | || <span style="line-height: 15.6000003814697px;">16L12s</span> || 5\28 < g < 3\16 || g = 41\224 || 5\28 < g < 8\44 || 8\44 < g < 11\60 || 11\60 < g < 14\76 || -1\2+3g || -4g+3\4 || | ||
|| < | || <span style="line-height: 15.6000003814697px;">17L11s</span> || 23\28 < g < 14\17 || g = 783\952 || 23\28 < g < 37\45 || 37\45 < g < 51\62 || 51\62 < g < 65\79 || 11g-9 || -17g+13 || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">18L10s</span> || 3\28 < g < 2\18 || g = 55\504 || 3\28 < g < 5\46 || 5\46 < g < 7\64 || 7\64 < g < 9\82 || 5g-1\2 || 1-9g || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">19L9s</span> || 25\28 < g < 17\19 || g = 951\1064 || 25\28 < g < 42\47 || 42\47 < g < 59\66 || 59\66 < g < 76\85 || 9g-8 || -19g+17 || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">20L</span>8s || 4\28 < g < 3\20 || g = 41\280 || 4\28 < g < 7\48 || 7\48 < g < 10\68 || 10\68 < g < 13\88 || -1\4+2g || 3\4-5g || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">21L7s</span> || 1\28 < g < 1\21 || g = 7\168 || 1\28 < g < 2\49 || 2\49 < g < 3\70 || 3\70 < g < 4\91 || g || <span style="line-height: 15.6000003814697px;">-1\7+3g</span> || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">22L</span>6s || 5\28 < g < 4\22 || g = 111\616 || 5\28 < g < 9\50 || 9\50 < g < 13\72 || 13\72 < g < 17\94 || 3g-1\2 || -11g+2 || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">23L</span>5s || 17\28 < g < 14\23 || g = 783\1288 || 17\28 < g < 31\51 || 31\51 < g < 45\74 || 45\74 < g < 59\97 || 5g-3 || -23g+14 || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">24L</span>4s || 1\28 < g < 1\24 || g = 13\336 || 1\28 < g < 2\52 || 2\52 < g < 3\76 || 3\76 < g < 4\100 || g || -6g+1\4 || | ||
|| <span style="line-height: 15.6000003814697px;"> | || <span style="line-height: 15.6000003814697px;">25L</span>3s || 19\28 < g < 17\25 || g = 951\1400 || 19\28 < g < 36\53 || 36\53 < g < 53\78 || 53\76 < g < 70\103 || 3g-2 || -25g+17 || | ||
|| < | || <span style="line-height: 15.6000003814697px;">26L</span>2s || 13\28 < g < 12\26 || g = 391\728 || 13\28 < g < 25\54 || 25\54 < g < 37\80 || 37\80 < g < 49\106 || g-1\2 || -13g+19\2 || | ||
|| 27L1s || 1\28 < g < 1\27 || g = 55\1512 || 1\28 < g < 2\55 || 2\55 < g < 3\82 || g || -27g+1 || | || 27L1s || 1\28 < g < 1\27 || g = 55\1512 || 1\28 < g < 2\55 || 2\55 < g < 3\82 || 3\82 < g < 4\109 || g || -27g+1 || | ||
=29= | =29= | ||
|| Large-small numbers || Generator range || <span style="background-color: #ffffff;">Midpoint</span> || Range of propriety || Range of maximum expressiveness || | ||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Range of propriety ||~ Range of maximum expressiveness ||~ <span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span> ||~ Large step ||~ Small step || | ||
|| 1L28s || 28\29 < g < 1 || g = 57\58 || 28\29 < g < 29\30 || 29\30 < g < 30\31 || 30\31 < g < 31\32 || -27+28g || -g+1 || | |||
|| | || 2L27s || 14\29 < g < 1\2 || g = 57\116 || 14\29 < g < 15\31 || 15\31 < g < 16\33 || 16\33 < g < 17\35 || 27g-13 || -2g+1 || | ||
|| | || 3L26s || 19\29 < g < 2\3 || g = 115\174 || 19\29 < g < 21\32 || 21\32 < g < 23\35 || 23\35 < g < 25\38 || -17+23g || 2-3g || | ||
|| | || 4L25s || 7\29 < g < 1\4 || g = 57\232 || 7\29 < g < 8\33 || 8\33 < g < 9\37 || 9\37 < g < 10\41 || 25g-6 || -4g+1 || | ||
|| | || 5L24s || 23\29 < g < 4\5 || g = 231\290 || 23\29 < g < 27\34 || 27\34 < g < 31\39 || 31\39 < g < 35\44 || -19+24g || 4-5g || | ||
|| | || 6L23s || 24\29 < g < 5\6 || g = 289\348 || 24\29 < g < 29\35 || 29\35 < g < 34\41 || 34\41 < g < 39\47 || -19+23g || -6g+5 || | ||
|| | || 7L22s || 4\29 < g < 1\7 || g = 57\406 || 4\29 < g < 5\36 || 5\36 < g < 6\43 || 6\43 < g < 7\50 || -3+22g || -7g+1 || | ||
|| | || 8L21s || 18\29 < g < 5\8 || g = 289\464 || 18\29 < g < 23\37 || 23\37 < g < 28\45 || 28\45 < g < 33\53 || <span style="line-height: 15.6000003814697px;">-13+21g</span> || <span style="line-height: 15.6000003814697px;">-8g+5</span> || | ||
|| 9L20s || 16\29 < g < 5\9 || g = 289\522 || 16\29 < g < 21\38 || 21\38 < g < 26\47 || 26\47 < g < 31\56 || -11+20g || -9g+5 || | |||
|| | || 10L19s || 26\29 < g < 9\10 || g = 521\580 || 26\29 < g < 35\39 || 35\39 < g < 44\49 || 44\49 < g < 53\59 || -17+19g || 9-10g || | ||
|| | || 11L18s || 21\29 < g < 8\11 || g = 463\638 || 21\29 < g < 29\40 || 29\40 < g < 37\51 || 37\51 < g < 45\62 || 18g-13 || -11g+8 || | ||
|| | || 12L17s || 12\29 < g < 5\12 || g = 289\696 || 12\29 < g < 17\41 || 17\41 < g < 22\53 || 22\53 < g < 27\65 || 17g-7 || 5-12g || | ||
|| | || 13L16s || 20\29 < g < 9\13 || g = 521\754 || 20\29 < g < 29\42 || 29\42 < g < 38\55 || 38\55 < g < 47\68 || 16g+11 || -13g+9 || | ||
|| | || 14L15s || 2\29 < g < 1\14 || g = 57\812 || 2\29 < g < 3\43 || 3\43 < g < 4\57 || 4\57 < g < 5\71 || 15g-1 || -14g+1 || | ||
|| | || 15L14s || 27\29 < g < 14\15 || g = 811\870 || 27\29 < g < 41\44 || 41\44 < g < 55\59 || 55\59 < g < 69\74 || 14g-13 || 14-15g || | ||
|| | || 16L13s || 9\29 < g < 5\16 || g = 289\928 || 9\29 < g < 14\45 || 14\45 < g < 19\61 || 19\61 < g < 24\77 || -4+13g || -16g+5 || | ||
|| | || 17L12s || 17\29 < g < 10\17 || g = 579\986 || 17\29 < g < 27\46 || 27\46 < g < 37\63 || 37\63 < g < 47\80 || 17g-7 || -12g+5 || | ||
|| | || 18L11s || 8\29 < g < 5\18 || g = 289\1044 || 8\29 < g < 13\47 || 13\47 < g < 18\65 || 18\65 < g < 23\83 || 11g-3 || 5-18g || | ||
|| | || 19L10s || 3\29 < g < 2\19 || g = 115\1102 || 3\29 < g < 5\48 || 5\48 < g < 7\67 || 7\67 < g < 9\86 || 10g-1 || -19g+2 || | ||
|| | || 20L9s || 13\29 < g < 9\20 || g = 521\1160 || 13\29 < g < 22\49 || 22\49 < g < 31\69 || 31\69 < g < 40\89 || 9-20g || -5+11g || | ||
|| | || 21L8s || 11\29 < g < 8\21 || g = 463\1216 || 11\29 < g < 19\50 || 19\50 < g < 27\71 || 27\71 < g < 35\92 || 8g-3 || 8-21g || | ||
|| | || 22L7s || 25\29 < g < 19\22 || g = 1001\1274 || 25\29 < g < 44\51 || 44\51 < g < 63\73 || 63\73 < g < 82\95 || 7g-6 || -22g+9 || | ||
|| | || 23L6s || 5\29 < g < 4\23 || g = 231\1332 || 5\28 < g < 9\52 || 9\52 < g < 13\75 || 13\75 < g < 17\98 || 6g-1 || -23g+4 || | ||
|| | || 24L5s || 6\29 < g < 5\24 || g = 289\1392 || 6\29 < g < 11\53 || 11\53 < g < 16\77 || 16\77 < g < 21\101 || 5g-9 || -24g+5 || | ||
|| | || 25L4s || 22\29 < g < 19\25 || g = 1001\1450 || 22\29 < g < 41\54 || 41\54 < g < 60\79 || 60\79 < g < 79\104 || 4g-3 || -25g+19 || | ||
|| | || 26L3s || 10\29 < g < 9\26 || g = 521\1508 || 10\29 < g < 19\55 || 19\55 < g < 28\81 || 28\81 < g < 37\107 || 3g-1 || -26g+19\2 || | ||
|| 27L2s || 15\29 < g < 14\27 || g = 811\1564 || 15\29 < g < 29\56 || 29\56 < g < 43\83 || 43\83 < g < 57\110 || 2g-1 || -27g+17 || | |||
|| 28L1s || 1\29 < g < 1\28 || g = 57\1622 || 1\29 < g < 2\57 || <span style="line-height: 15.6000003814697px;">2\57 < g < 3\85</span> || g || -28g+1 ||</pre></div> | || 28L1s || 1\29 < g < 1\28 || g = 57\1622 || 1\29 < g < 2\57 || <span style="line-height: 15.6000003814697px;">2\57 < g < 3\85</span> || 3\85 < g < 4\113 || g || -28g+1 ||</pre></div> | ||
<h4>Original HTML content:</h4> | <h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>Generator ranges of MOS</title></head><body>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. | <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"><html><head><title>Generator ranges of MOS</title></head><body>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. The fourth column gives the range of propriety. The fifth column gives the range of maximum expressiveness. Finally, the sixth column gives the top of the range of diatonicity.<br /> | ||
<br /> | <br /> | ||
If the number of the <a class="wiki_link" href="/Interval%20class" target="_blank">generic interval</a> 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 <a class="wiki_link" href="/Modal%20UDP%20Notation" target="_blank">chroma-positive</a> generator.<br /> | If the number of the <a class="wiki_link" href="/Interval%20class" target="_blank">generic interval</a> 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 <a class="wiki_link" href="/Modal%20UDP%20Notation" target="_blank">chroma-positive</a> generator.<br /> | ||
| Line 503: | Line 506: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th>Top<br /> | ||
</ | range of diatonicity<br /> | ||
< | </th> | ||
</ | <th>Large step<br /> | ||
</th> | |||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 528: | Line 534: | ||
</td> | </td> | ||
<td>2\3 &lt; g &lt; 3\4<br /> | <td>2\3 &lt; g &lt; 3\4<br /> | ||
</td> | |||
<td>3\4 &lt; g &lt; 4\5<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 544: | Line 552: | ||
</td> | </td> | ||
<td>3\4 &lt; g &lt; 4\5<br /> | <td>3\4 &lt; g &lt; 4\5<br /> | ||
</td> | |||
<td>4\5 &lt; g &lt; 5\6<br /> | |||
</td> | </td> | ||
<td>2g-1<br /> | <td>2g-1<br /> | ||
| Line 560: | Line 570: | ||
</td> | </td> | ||
<td>2\5 &lt; g &lt; 3\7<br /> | <td>2\5 &lt; g &lt; 3\7<br /> | ||
</td> | |||
<td>3\7 &lt; g &lt; 4\9<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 576: | Line 588: | ||
</td> | </td> | ||
<td>4\5 &lt; g &lt; 5\6<br /> | <td>4\5 &lt; g &lt; 5\6<br /> | ||
</td> | |||
<td>5\6 &lt; g &lt; 6\7<br /> | |||
</td> | </td> | ||
<td>3g-2<br /> | <td>3g-2<br /> | ||
| Line 589: | Line 603: | ||
<td>g = 3\8<br /> | <td>g = 3\8<br /> | ||
</td> | </td> | ||
<td>1\4 &lt; g &lt; 2\6 | <td>1\4 &lt; g &lt; 2\6<br /> | ||
</td> | |||
<td>2\6 &lt; g &lt; 3\8<br /> | |||
</td> | </td> | ||
<td> | <td>3\8 &lt; g &lt; 4\10<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 608: | Line 624: | ||
</td> | </td> | ||
<td>2\7 &lt; g &lt; 3\10<br /> | <td>2\7 &lt; g &lt; 3\10<br /> | ||
</td> | |||
<td>3\10 &lt; g &lt; 4\13<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 622: | Line 640: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th>Top<br /> | ||
</ | range of diatonicity<br /> | ||
< | </th> | ||
</ | <th>Large step<br /> | ||
</th> | |||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 647: | Line 668: | ||
</td> | </td> | ||
<td>5\6 &lt; g &lt; 6\7<br /> | <td>5\6 &lt; g &lt; 6\7<br /> | ||
</td> | |||
<td>6\7 &lt; g &lt; 7\8<br /> | |||
</td> | </td> | ||
<td>-3+4g<br /> | <td>-3+4g<br /> | ||
| Line 663: | Line 686: | ||
</td> | </td> | ||
<td>3\7 &lt; g &lt; 4\9<br /> | <td>3\7 &lt; g &lt; 4\9<br /> | ||
</td> | |||
<td>4\9 &lt; g &lt; 5\11<br /> | |||
</td> | </td> | ||
<td>-1+3g<br /> | <td>-1+3g<br /> | ||
| Line 679: | Line 704: | ||
</td> | </td> | ||
<td>5\8 &lt; g &lt; 7\11<br /> | <td>5\8 &lt; g &lt; 7\11<br /> | ||
</td> | |||
<td>7\11 &lt; g &lt; 9\14<br /> | |||
</td> | </td> | ||
<td>-1+2g<br /> | <td>-1+2g<br /> | ||
| Line 695: | Line 722: | ||
</td> | </td> | ||
<td>2\9 &lt; g &lt; 3\13<br /> | <td>2\9 &lt; g &lt; 3\13<br /> | ||
</td> | |||
<td>3\13 &lt; g &lt; 4\17<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 709: | Line 738: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th>Top<br /> | ||
</ | range of diatonicity<br /> | ||
< | </th> | ||
</ | <th>Large step<br /> | ||
</th> | |||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 734: | Line 766: | ||
</td> | </td> | ||
<td>6\7 &lt; g &lt; 7\8<br /> | <td>6\7 &lt; g &lt; 7\8<br /> | ||
</td> | |||
<td>7\8 &lt; g &lt; 8\9<br /> | |||
</td> | </td> | ||
<td>5g-4<br /> | <td>5g-4<br /> | ||
| Line 747: | Line 781: | ||
<td>g = 5\12<br /> | <td>g = 5\12<br /> | ||
</td> | </td> | ||
<td>2\6 &lt; g &lt; 4\10 | <td>2\6 g &lt; 3\8<br /> | ||
</td> | |||
<td>3\8 &lt; g &lt; 4\10<br /> | |||
</td> | </td> | ||
<td>4\10 | <td>4\10 &lt; g &lt; 5\12<br /> | ||
</td> | </td> | ||
<td>2g-1\2<br /> | <td>2g-1\2<br /> | ||
| Line 761: | Line 797: | ||
<td>1\6 &lt; g &lt; 1\3<br /> | <td>1\6 &lt; g &lt; 1\3<br /> | ||
</td> | </td> | ||
<td>g = 3\12 | <td>g = 3\12<br /> | ||
</td> | </td> | ||
<td>1\6 &lt; g &lt; 2\9<br /> | <td>1\6 &lt; g &lt; 2\9<br /> | ||
</td> | </td> | ||
<td>2\9 &lt; g &lt; 3\12 | <td>2\9 &lt; g &lt; 3\12<br /> | ||
</td> | |||
<td>3\12 &lt; g &lt; 4\15<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 779: | Line 817: | ||
<td>g = 5\24<br /> | <td>g = 5\24<br /> | ||
</td> | </td> | ||
<td>1\6 &lt; g &lt; 2\10 | <td>1\6 &lt; g &lt; 2\10<br /> | ||
</td> | </td> | ||
<td>2\10 | <td>2\10 &lt; g &lt; 3\14<br /> | ||
</td> | |||
<td>3\14 &lt; g &lt; 4\18<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 798: | Line 838: | ||
</td> | </td> | ||
<td>2\11 &lt; g &lt; 3\16<br /> | <td>2\11 &lt; g &lt; 3\16<br /> | ||
</td> | |||
<td>3\16 &lt; g &lt; 4\21<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 812: | Line 854: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</th> | |||
<th>Generator range<br /> | |||
</th> | |||
<th>Midpoint<br /> | |||
</th> | |||
<th>Range of propriety<br /> | |||
</th> | |||
<th>Range of maximum expressiveness<br /> | |||
</th> | |||
<th><span style="display: block; text-align: center;">To</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | |||
</th> | |||
<th>Large step<br /> | |||
</th> | |||
<th>Small step<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>1L6s<br /> | |||
</td> | </td> | ||
<td> | <td>6\7 &lt; g &lt; 1<br /> | ||
</td> | </td> | ||
<td> | <td>g = 13\14<br /> | ||
</td> | </td> | ||
<td> | <td>6\7 &lt; g &lt; 7\8<br /> | ||
</td> | </td> | ||
<td> | <td>7\8 &lt; g &lt; 8\9<br /> | ||
</td> | </td> | ||
<td> | <td>8\9 &lt; g &lt; 9\10<br /> | ||
</td> | </td> | ||
<td>6g-5<br /> | <td>6g-5<br /> | ||
| Line 853: | Line 899: | ||
</td> | </td> | ||
<td>4\9 &lt; g &lt; 5\11<br /> | <td>4\9 &lt; g &lt; 5\11<br /> | ||
</td> | |||
<td>5\11 &lt; g &lt; 6\13<br /> | |||
</td> | </td> | ||
<td>5g-2<br /> | <td>5g-2<br /> | ||
| Line 869: | Line 917: | ||
</td> | </td> | ||
<td>3\10 &lt; g &lt; 4\13<br /> | <td>3\10 &lt; g &lt; 4\13<br /> | ||
</td> | |||
<td>4\13 &lt; g &lt; 5\16<br /> | |||
</td> | </td> | ||
<td>4g-1<br /> | <td>4g-1<br /> | ||
| Line 885: | Line 935: | ||
</td> | </td> | ||
<td>8\11 &lt; g &lt; 11\15<br /> | <td>8\11 &lt; g &lt; 11\15<br /> | ||
</td> | |||
<td>11\15 &lt; g &lt; 14\19<br /> | |||
</td> | </td> | ||
<td>3g-2<br /> | <td>3g-2<br /> | ||
| Line 901: | Line 953: | ||
</td> | </td> | ||
<td>7\12 &lt; g &lt; 10\17<br /> | <td>7\12 &lt; g &lt; 10\17<br /> | ||
</td> | |||
<td>10\17 &lt; g &lt; 13\22<br /> | |||
</td> | </td> | ||
<td>2g-1<br /> | <td>2g-1<br /> | ||
| Line 917: | Line 971: | ||
</td> | </td> | ||
<td>2\13 &lt; g &lt; 3\19<br /> | <td>2\13 &lt; g &lt; 3\19<br /> | ||
</td> | |||
<td>3\19 &lt; g &lt; 4\25<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 931: | Line 987: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 956: | Line 1,014: | ||
</td> | </td> | ||
<td>8\9 &lt; g &lt; 9\10<br /> | <td>8\9 &lt; g &lt; 9\10<br /> | ||
</td> | |||
<td>9\10 &lt; g &lt; 10\11<br /> | |||
</td> | </td> | ||
<td>7g-6<br /> | <td>7g-6<br /> | ||
| Line 969: | Line 1,029: | ||
<td>g = 7\16<br /> | <td>g = 7\16<br /> | ||
</td> | </td> | ||
<td>3\8 &lt; g &lt; 4\10 | <td>3\8 &lt; g &lt; 4\10<br /> | ||
</td> | </td> | ||
<td>4\10 | <td>4\10 &lt; g &lt; 5\12<br /> | ||
</td> | |||
<td>5\12 &lt; g &lt; 6\14<br /> | |||
</td> | </td> | ||
<td>3g-1<br /> | <td>3g-1<br /> | ||
| Line 988: | Line 1,050: | ||
</td> | </td> | ||
<td>7\11 &lt; g &lt; 9\14<br /> | <td>7\11 &lt; g &lt; 9\14<br /> | ||
</td> | |||
<td>9\14 &lt; g &lt; 11\17<br /> | |||
</td> | </td> | ||
<td>5g-3<br /> | <td>5g-3<br /> | ||
| Line 1,001: | Line 1,065: | ||
<td>g = 3\16<br /> | <td>g = 3\16<br /> | ||
</td> | </td> | ||
<td>1\8 &lt; g &lt; 2\12 | <td>1\8 &lt; g &lt; 2\12<br /> | ||
</td> | |||
<td>2\12 &lt; g &lt; 3\16<br /> | |||
</td> | </td> | ||
<td> | <td>3\16 &lt; g &lt; 4\20<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,020: | Line 1,086: | ||
</td> | </td> | ||
<td>5\13 &lt; g &lt; 7\18<br /> | <td>5\13 &lt; g &lt; 7\18<br /> | ||
</td> | |||
<td>7\18 &lt; g &lt; 9\23<br /> | |||
</td> | </td> | ||
<td>3g-1<br /> | <td>3g-1<br /> | ||
| Line 1,033: | Line 1,101: | ||
<td>g = 7\48<br /> | <td>g = 7\48<br /> | ||
</td> | </td> | ||
<td>1\8 &lt; g &lt; 2\14 | <td>1\8 &lt; g &lt; 2\14<br /> | ||
</td> | |||
<td>2\14 &lt; g &lt; 3\20<br /> | |||
</td> | </td> | ||
<td> | <td>3\20 &lt; g &lt; 4\26<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,052: | Line 1,122: | ||
</td> | </td> | ||
<td>2\15 &lt; g &lt; 3\22<br /> | <td>2\15 &lt; g &lt; 3\22<br /> | ||
</td> | |||
<td>3\22 &lt; g &lt; 4\29<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,066: | Line 1,138: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 1,089: | Line 1,163: | ||
</td> | </td> | ||
<td>8\9 &lt; g &lt; 9\10<br /> | <td>8\9 &lt; g &lt; 9\10<br /> | ||
</td> | |||
<td>9\10 &lt; g &lt; 10\11<br /> | |||
</td> | </td> | ||
<td>9\10 &lt; g &lt; 10\11<br /> | <td>9\10 &lt; g &lt; 10\11<br /> | ||
| Line 1,107: | Line 1,183: | ||
</td> | </td> | ||
<td>5\11 &lt; g &lt; 6\13<br /> | <td>5\11 &lt; g &lt; 6\13<br /> | ||
</td> | |||
<td>6\13 &lt; g &lt; 7\15<br /> | |||
</td> | </td> | ||
<td>7g-3<br /> | <td>7g-3<br /> | ||
| Line 1,120: | Line 1,198: | ||
<td>g = 5\18<br /> | <td>g = 5\18<br /> | ||
</td> | </td> | ||
<td>2\9 &lt; g &lt; 3\12 | <td>2\9 &lt; g &lt; 3\12<br /> | ||
</td> | </td> | ||
<td>3\12 | <td>3\12 &lt; g &lt; 4\15<br /> | ||
</td> | |||
<td>4\15 &lt; g &lt; 5\18<br /> | |||
</td> | </td> | ||
<td>2g-1\3<br /> | <td>2g-1\3<br /> | ||
| Line 1,130: | Line 1,210: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td>4L5s<br /> | <td style="text-align: left;">4L5s<br /> | ||
</td> | </td> | ||
<td>2\9 &lt; g &lt; 1\4<br /> | <td style="text-align: left;">2\9 &lt; g &lt; 1\4<br /> | ||
</td> | </td> | ||
<td>g = 17\72<br /> | <td style="text-align: left;">g = 17\72<br /> | ||
</td> | </td> | ||
<td>2\9 &lt; g &lt; 3\13<br /> | <td style="text-align: left;">2\9 &lt; g &lt; 3\13<br /> | ||
</td> | </td> | ||
<td>3\13 &lt; g &lt; 4\17<br /> | <td>3\13 &lt; g &lt; 4\17<br /> | ||
</td> | </td> | ||
<td>5g-1<br /> | <td style="text-align: left;">4\17 &lt; g &lt; 5\21<br /> | ||
</td> | |||
<td style="text-align: left;">5g-1<br /> | |||
</td> | </td> | ||
<td>1-4g<br /> | <td style="text-align: left;">1-4g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,152: | Line 1,234: | ||
<td>g = 71\90<br /> | <td>g = 71\90<br /> | ||
</td> | </td> | ||
<td>7\9 &lt; g &lt; 11\ | <td>7\9 &lt; g &lt; 11\1<br /> | ||
</td> | </td> | ||
<td>11\14 &lt; g &lt; 15\19<br /> | <td>11\14 &lt; g &lt; 15\19<br /> | ||
</td> | |||
<td>15\19 &lt; g &lt;18\23<br /> | |||
</td> | </td> | ||
<td>4g-3<br /> | <td>4g-3<br /> | ||
| Line 1,170: | Line 1,254: | ||
<td>1\9 &lt; g &lt; 2\15<br /> | <td>1\9 &lt; g &lt; 2\15<br /> | ||
</td> | </td> | ||
<td>2\15 &lt; g &lt; 3\21 | <td>2\15 &lt; g &lt; 3\21<br /> | ||
</td> | |||
<td>3\21 &lt; g &lt; 4\27<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,187: | Line 1,273: | ||
</td> | </td> | ||
<td>9\16 &lt; g &lt; 10\23<br /> | <td>9\16 &lt; g &lt; 10\23<br /> | ||
</td> | |||
<td>10\23 &lt; g &lt; 17\30<br /> | |||
</td> | </td> | ||
<td>2g-1<br /> | <td>2g-1<br /> | ||
| Line 1,202: | Line 1,290: | ||
<td>1\9 &lt; g &lt; 2\17<br /> | <td>1\9 &lt; g &lt; 2\17<br /> | ||
</td> | </td> | ||
<td> | <td>2\17 &lt; g &lt; 3\25<br /> | ||
</td> | |||
<td>3\25 &lt; g &lt; 4\33<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,217: | Line 1,307: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 1,242: | Line 1,334: | ||
</td> | </td> | ||
<td>10\11 &lt; g &lt; 11\12<br /> | <td>10\11 &lt; g &lt; 11\12<br /> | ||
</td> | |||
<td>11\12 &lt; g &lt; 12\13<br /> | |||
</td> | </td> | ||
<td>-8+9g<br /> | <td>-8+9g<br /> | ||
| Line 1,251: | Line 1,345: | ||
<td>2L8s<br /> | <td>2L8s<br /> | ||
</td> | </td> | ||
<td>4\10 | <td>4\10 &lt; g &lt; 1\2<br /> | ||
</td> | </td> | ||
<td>g = 9\20<br /> | <td>g = 9\20<br /> | ||
</td> | </td> | ||
<td>4\10 | <td>4\10 &lt; g &lt; 5\12<br /> | ||
</td> | </td> | ||
<td>5\12 &lt; g &lt; 6\14 | <td>5\12 &lt; g &lt; 6\14<br /> | ||
</td> | |||
<td>6\14 &lt; g &lt; 7\19<br /> | |||
</td> | </td> | ||
<td>-3\2+4g<br /> | <td>-3\2+4g<br /> | ||
| Line 1,274: | Line 1,370: | ||
</td> | </td> | ||
<td>4\13 &lt; g &lt; 5\16<br /> | <td>4\13 &lt; g &lt; 5\16<br /> | ||
</td> | |||
<td>5\16 &lt; g &lt; 6\19<br /> | |||
</td> | </td> | ||
<td>-2+7g<br /> | <td>-2+7g<br /> | ||
| Line 1,283: | Line 1,381: | ||
<td>4L6s<br /> | <td>4L6s<br /> | ||
</td> | </td> | ||
<td>2\10 | <td>2\10 &lt; g &lt; 1\4<br /> | ||
</td> | </td> | ||
<td>g = 9\40<br /> | <td>g = 9\40<br /> | ||
</td> | </td> | ||
<td>2\10 | <td>2\10 &lt; g &lt; 3\14<br /> | ||
</td> | |||
<td>3\14 &lt; g &lt; 4\18<br /> | |||
</td> | </td> | ||
<td> | <td>4\19 &lt; g &lt; 5\22<br /> | ||
</td> | </td> | ||
<td>3g-1\2<br /> | <td>3g-1\2<br /> | ||
| Line 1,306: | Line 1,406: | ||
</td> | </td> | ||
<td>2\15 &lt; g &lt; 3\20<br /> | <td>2\15 &lt; g &lt; 3\20<br /> | ||
</td> | |||
<td>3\20 &lt; g &lt; 4\25<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,315: | Line 1,417: | ||
<td>6L4s<br /> | <td>6L4s<br /> | ||
</td> | </td> | ||
<td>3\10 &lt; g &lt; 2\6 | <td>3\10 &lt; g &lt; 2\6<br /> | ||
</td> | </td> | ||
<td>g = 19\60<br /> | <td>g = 19\60<br /> | ||
| Line 1,322: | Line 1,424: | ||
</td> | </td> | ||
<td>5\16 &lt; g &lt; 7\22<br /> | <td>5\16 &lt; g &lt; 7\22<br /> | ||
</td> | |||
<td>7\22 &lt; g &lt; 9\28<br /> | |||
</td> | </td> | ||
<td>-1\2+2g<br /> | <td>-1\2+2g<br /> | ||
| Line 1,338: | Line 1,442: | ||
</td> | </td> | ||
<td>12\17 &lt; g &lt; 17\24<br /> | <td>12\17 &lt; g &lt; 17\24<br /> | ||
</td> | |||
<td>17\24 &lt; g &lt;22\31<br /> | |||
</td> | </td> | ||
<td>-2+3g<br /> | <td>-2+3g<br /> | ||
| Line 1,351: | Line 1,457: | ||
<td>g = 9\80<br /> | <td>g = 9\80<br /> | ||
</td> | </td> | ||
<td>1\10 &lt; g &lt; 2\18 | <td>1\10 &lt; g &lt; 2\18<br /> | ||
</td> | |||
<td>2\18 &lt; g &lt; 3\26<br /> | |||
</td> | </td> | ||
<td> | <td>3\26 &lt; g &lt; 4\34<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,370: | Line 1,478: | ||
</td> | </td> | ||
<td>2\19 &lt; g &lt; 3\28<br /> | <td>2\19 &lt; g &lt; 3\28<br /> | ||
</td> | |||
<td>3\28 &lt; g &lt; 4\37<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,384: | Line 1,494: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 1,409: | Line 1,521: | ||
</td> | </td> | ||
<td>11\12 &lt; g &lt; 12\13<br /> | <td>11\12 &lt; g &lt; 12\13<br /> | ||
</td> | |||
<td>12/13 &lt; g &lt; 13\14<br /> | |||
</td> | </td> | ||
<td>-9+10g<br /> | <td>-9+10g<br /> | ||
| Line 1,425: | Line 1,539: | ||
</td> | </td> | ||
<td>6\13 &lt; g &lt; 7\15<br /> | <td>6\13 &lt; g &lt; 7\15<br /> | ||
</td> | |||
<td>7\15 &lt; g &lt; 8\17<br /> | |||
</td> | </td> | ||
<td>-4+9g<br /> | <td>-4+9g<br /> | ||
| Line 1,441: | Line 1,557: | ||
</td> | </td> | ||
<td>9\14 &lt; g &lt; 11\17<br /> | <td>9\14 &lt; g &lt; 11\17<br /> | ||
</td> | |||
<td>11\17 &lt; g &lt; 13\20<br /> | |||
</td> | </td> | ||
<td>-5+8g<br /> | <td>-5+8g<br /> | ||
| Line 1,457: | Line 1,575: | ||
</td> | </td> | ||
<td>11\15 &lt; g &lt; 14\19<br /> | <td>11\15 &lt; g &lt; 14\19<br /> | ||
</td> | |||
<td>14\19 &lt; g &lt; 17\23<br /> | |||
</td> | </td> | ||
<td>-5+7g<br /> | <td>-5+7g<br /> | ||
| Line 1,473: | Line 1,593: | ||
</td> | </td> | ||
<td>3\16 &lt; g &lt; 4\21<br /> | <td>3\16 &lt; g &lt; 4\21<br /> | ||
</td> | |||
<td>4\21 &lt; g &lt; 5\26<br /> | |||
</td> | </td> | ||
<td>-1+6g<br /> | <td>-1+6g<br /> | ||
| Line 1,489: | Line 1,611: | ||
</td> | </td> | ||
<td>14\17 &lt; g &lt; 19\23<br /> | <td>14\17 &lt; g &lt; 19\23<br /> | ||
</td> | |||
<td>19\23 &lt; g &lt; 24\29<br /> | |||
</td> | </td> | ||
<td>-4+5g<br /> | <td>-4+5g<br /> | ||
| Line 1,505: | Line 1,629: | ||
</td> | </td> | ||
<td>5\18 &lt; g &lt; 7\25<br /> | <td>5\18 &lt; g &lt; 7\25<br /> | ||
</td> | |||
<td>7\25 &lt; g &lt; 9\32<br /> | |||
</td> | </td> | ||
<td>-1+4g<br /> | <td>-1+4g<br /> | ||
| Line 1,521: | Line 1,647: | ||
</td> | </td> | ||
<td>7\19 &lt; g &lt; 10\27<br /> | <td>7\19 &lt; g &lt; 10\27<br /> | ||
</td> | |||
<td>10\27 &lt; g &lt; 13\35<br /> | |||
</td> | </td> | ||
<td>-1+3g<br /> | <td>-1+3g<br /> | ||
| Line 1,537: | Line 1,665: | ||
</td> | </td> | ||
<td>11\20 &lt; g &lt; 16\29<br /> | <td>11\20 &lt; g &lt; 16\29<br /> | ||
</td> | |||
<td>16\29 &lt; g &lt; 21\38<br /> | |||
</td> | </td> | ||
<td>-1+2g<br /> | <td>-1+2g<br /> | ||
| Line 1,553: | Line 1,683: | ||
</td> | </td> | ||
<td>2\21 &lt; g &lt; 3\31<br /> | <td>2\21 &lt; g &lt; 3\31<br /> | ||
</td> | |||
<td>3\31 &lt; g &lt; 4\41<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,567: | Line 1,699: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 1,592: | Line 1,726: | ||
</td> | </td> | ||
<td>12\13 &lt; g &lt; 13\14<br /> | <td>12\13 &lt; g &lt; 13\14<br /> | ||
</td> | |||
<td>13\14 &lt; g &lt; 14\15<br /> | |||
</td> | </td> | ||
<td>11g-10<br /> | <td>11g-10<br /> | ||
| Line 1,605: | Line 1,741: | ||
<td>g = 11\24<br /> | <td>g = 11\24<br /> | ||
</td> | </td> | ||
<td>5\12 &lt; g &lt; 6\14 | <td>5\12 &lt; g &lt; 6\14<br /> | ||
</td> | |||
<td>6\14 &lt; g &lt; 7\16<br /> | |||
</td> | </td> | ||
<td> | <td>7\16 &lt; g &lt; 8\18<br /> | ||
</td> | </td> | ||
<td>5g-2<br /> | <td>5g-2<br /> | ||
| Line 1,617: | Line 1,755: | ||
<td>3L9s<br /> | <td>3L9s<br /> | ||
</td> | </td> | ||
<td>3\12 &lt; g &lt; | <td>3\12 &lt; g &lt; 1\3<br /> | ||
</td> | </td> | ||
<td>g = 7\24<br /> | <td>g = 7\24<br /> | ||
</td> | </td> | ||
<td>3\12 | <td>3\12 &lt; g &lt; 4\15<br /> | ||
</td> | </td> | ||
<td>4\15 &lt; g &lt; 5\18<br /> | <td>4\15 &lt; g &lt; 5\18<br /> | ||
</td> | |||
<td>5\18 &lt; g &lt; 6\21<br /> | |||
</td> | </td> | ||
<td>3g-2\3<br /> | <td>3g-2\3<br /> | ||
| Line 1,633: | Line 1,773: | ||
<td>4L8s<br /> | <td>4L8s<br /> | ||
</td> | </td> | ||
<td>2\12 | <td>2\12 &lt; g &lt; 1\4<br /> | ||
</td> | </td> | ||
<td>g = 5\24<br /> | <td>g = 5\24<br /> | ||
</td> | </td> | ||
<td>2/12 | <td>2/12 &lt; g &lt; 3\16<br /> | ||
</td> | </td> | ||
<td>3\16 &lt; g &lt; 4\20 | <td>3\16 &lt; g &lt; 4\20<br /> | ||
</td> | |||
<td>4\20 &lt; g &lt; 5\24<br /> | |||
</td> | </td> | ||
<td>2g-1\4<br /> | <td>2g-1\4<br /> | ||
| Line 1,656: | Line 1,798: | ||
</td> | </td> | ||
<td>10\17 &lt; g &lt; 13\22<br /> | <td>10\17 &lt; g &lt; 13\22<br /> | ||
</td> | |||
<td>13\22 &lt; g &lt; 16\27<br /> | |||
</td> | </td> | ||
<td>7g-4<br /> | <td>7g-4<br /> | ||
| Line 1,669: | Line 1,813: | ||
<td>g = 3\24<br /> | <td>g = 3\24<br /> | ||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 2\18 | <td>1\12 &lt; g &lt; 2\18<br /> | ||
</td> | |||
<td>2\18 &lt; g &lt; 3\24<br /> | |||
</td> | </td> | ||
<td> | <td>3/24 &lt; g &lt; 4\30<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,688: | Line 1,834: | ||
</td> | </td> | ||
<td>8\19 &lt; g &lt; 11\26<br /> | <td>8\19 &lt; g &lt; 11\26<br /> | ||
</td> | |||
<td>11\26 &lt; g &lt; 14\33<br /> | |||
</td> | </td> | ||
<td>5g-2<br /> | <td>5g-2<br /> | ||
| Line 1,701: | Line 1,849: | ||
<td>g = 5\48<br /> | <td>g = 5\48<br /> | ||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 2\20 | <td>1\12 &lt; g &lt; 2\20<br /> | ||
</td> | </td> | ||
<td>2\20 | <td>2\20 &lt; g &lt; 3\28<br /> | ||
</td> | |||
<td>3\28 &lt; g &lt; 4\36<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,719: | Line 1,869: | ||
<td>1\12 &lt; g &lt; 2\21<br /> | <td>1\12 &lt; g &lt; 2\21<br /> | ||
</td> | </td> | ||
<td>2\21 &lt; g &lt; 3\30 | <td>2\21 &lt; g &lt; 3\30<br /> | ||
</td> | |||
<td>3\30 &lt; g &lt; 4\39<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,733: | Line 1,885: | ||
<td>g = 11\120<br /> | <td>g = 11\120<br /> | ||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 2\22 | <td>1\12 &lt; g &lt; 2\22<br /> | ||
</td> | |||
<td>2\22 &lt; g &lt; 3\32<br /> | |||
</td> | </td> | ||
<td> | <td>3\32 &lt; g &lt; 4\42<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,752: | Line 1,906: | ||
</td> | </td> | ||
<td>2\23 &lt; g &lt; 3\34<br /> | <td>2\23 &lt; g &lt; 3\34<br /> | ||
</td> | |||
<td>3\34 &lt; g &lt; 4\45<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,766: | Line 1,922: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 1,791: | Line 1,949: | ||
</td> | </td> | ||
<td>13\14 &lt; g &lt; 14\15<br /> | <td>13\14 &lt; g &lt; 14\15<br /> | ||
</td> | |||
<td>14\15 &lt; g &lt; 15\16<br /> | |||
</td> | </td> | ||
<td>12g-11<br /> | <td>12g-11<br /> | ||
| Line 1,807: | Line 1,967: | ||
</td> | </td> | ||
<td>7\15 &lt; g &lt; 8\17<br /> | <td>7\15 &lt; g &lt; 8\17<br /> | ||
</td> | |||
<td>8\17 &lt; g &lt; 9\18<br /> | |||
</td> | </td> | ||
<td>11g-5<br /> | <td>11g-5<br /> | ||
| Line 1,823: | Line 1,985: | ||
</td> | </td> | ||
<td>5\16 &lt; g &lt; 6\19<br /> | <td>5\16 &lt; g &lt; 6\19<br /> | ||
</td> | |||
<td>6\19 &lt; g &lt; 7/22<br /> | |||
</td> | </td> | ||
<td>10g-3<br /> | <td>10g-3<br /> | ||
| Line 1,839: | Line 2,003: | ||
</td> | </td> | ||
<td>4\17 &lt; g &lt; 5\21<br /> | <td>4\17 &lt; g &lt; 5\21<br /> | ||
</td> | |||
<td>5\21 &lt; g &lt; 6\25<br /> | |||
</td> | </td> | ||
<td>9g-2<br /> | <td>9g-2<br /> | ||
| Line 1,855: | Line 2,021: | ||
</td> | </td> | ||
<td>7\18 &lt; g &lt; 9\23<br /> | <td>7\18 &lt; g &lt; 9\23<br /> | ||
</td> | |||
<td>9\23 &lt; g &lt; 11\28<br /> | |||
</td> | </td> | ||
<td>8g-3<br /> | <td>8g-3<br /> | ||
| Line 1,871: | Line 2,039: | ||
</td> | </td> | ||
<td>3\19 &lt; g &lt; 4\25<br /> | <td>3\19 &lt; g &lt; 4\25<br /> | ||
</td> | |||
<td>4\25 &lt; g &lt; 5\31<br /> | |||
</td> | </td> | ||
<td>7g-1<br /> | <td>7g-1<br /> | ||
| Line 1,887: | Line 2,057: | ||
</td> | </td> | ||
<td>17\20 &lt; g &lt; 23\27<br /> | <td>17\20 &lt; g &lt; 23\27<br /> | ||
</td> | |||
<td>23\27 &lt; g &lt; 29\34<br /> | |||
</td> | </td> | ||
<td>6g-5<br /> | <td>6g-5<br /> | ||
| Line 1,903: | Line 2,075: | ||
</td> | </td> | ||
<td>13\21 &lt; g &lt; 18\29<br /> | <td>13\21 &lt; g &lt; 18\29<br /> | ||
</td> | |||
<td>18\29 &lt; g &lt; 23\37<br /> | |||
</td> | </td> | ||
<td>5g-3<br /> | <td>5g-3<br /> | ||
| Line 1,919: | Line 2,093: | ||
</td> | </td> | ||
<td>17\22 &lt; g &lt; 24\31<br /> | <td>17\22 &lt; g &lt; 24\31<br /> | ||
</td> | |||
<td>24\31 &lt; g &lt; 31\40<br /> | |||
</td> | </td> | ||
<td>4g-3<br /> | <td>4g-3<br /> | ||
| Line 1,935: | Line 2,111: | ||
</td> | </td> | ||
<td>16\23 &lt; g &lt; 23\33<br /> | <td>16\23 &lt; g &lt; 23\33<br /> | ||
</td> | |||
<td>23\33 &lt; g &lt; 30\43<br /> | |||
</td> | </td> | ||
<td>3g-2<br /> | <td>3g-2<br /> | ||
| Line 1,951: | Line 2,129: | ||
</td> | </td> | ||
<td>13\24 &lt; g &lt; 19\35<br /> | <td>13\24 &lt; g &lt; 19\35<br /> | ||
</td> | |||
<td>19\35 &lt; g &lt; 25\46<br /> | |||
</td> | </td> | ||
<td>2g-1<br /> | <td>2g-1<br /> | ||
| Line 1,967: | Line 2,147: | ||
</td> | </td> | ||
<td>2\25 &lt; g &lt; 3\37<br /> | <td>2\25 &lt; g &lt; 3\37<br /> | ||
</td> | |||
<td>3\37 &lt; g &lt; 4\49<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,981: | Line 2,163: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 2,007: | Line 2,191: | ||
<td>14\15 &lt; g &lt; 15\16<br /> | <td>14\15 &lt; g &lt; 15\16<br /> | ||
</td> | </td> | ||
<td>-12+13g<br /> | <td>15\16 &lt; g &lt; 16\17<br /> | ||
</td> | |||
<td>\-12+13g<br /> | |||
</td> | </td> | ||
<td>-g+1<br /> | <td>-g+1<br /> | ||
| Line 2,021: | Line 2,207: | ||
<td>6\14 &lt; g &lt; 7\16<br /> | <td>6\14 &lt; g &lt; 7\16<br /> | ||
</td> | </td> | ||
<td>7\16 &lt; g &lt; 8\18 | <td>7\16 &lt; g &lt; 8\18<br /> | ||
</td> | |||
<td>8\18 &lt; g &lt; 9\20<br /> | |||
</td> | </td> | ||
<td>-5\2+6g<br /> | <td>-5\2+6g<br /> | ||
| Line 2,038: | Line 2,226: | ||
</td> | </td> | ||
<td>11\17 &lt; g &lt; 13\20<br /> | <td>11\17 &lt; g &lt; 13\20<br /> | ||
</td> | |||
<td>13\20 &lt; g &lt; 15\23<br /> | |||
</td> | </td> | ||
<td>-7+11g<br /> | <td>-7+11g<br /> | ||
| Line 2,051: | Line 2,241: | ||
<td>g = 13\56<br /> | <td>g = 13\56<br /> | ||
</td> | </td> | ||
<td>3\14 &lt; g &lt; 4\18 | <td>3\14 &lt; g &lt; 4\18<br /> | ||
</td> | </td> | ||
<td>4\18 | <td>4\18 &lt; g &lt; 5\22<br /> | ||
</td> | |||
<td>5\22 &lt; g &lt; 6\26<br /> | |||
</td> | </td> | ||
<td>-1+5g<br /> | <td>-1+5g<br /> | ||
| Line 2,070: | Line 2,262: | ||
</td> | </td> | ||
<td>15\19 &lt; g &lt; 19\24<br /> | <td>15\19 &lt; g &lt; 19\24<br /> | ||
</td> | |||
<td>19\24 &lt; g &lt; 23\29<br /> | |||
</td> | </td> | ||
<td>-7+9g<br /> | <td>-7+9g<br /> | ||
| Line 2,085: | Line 2,279: | ||
<td>2\14 &lt; g &lt; 3\20<br /> | <td>2\14 &lt; g &lt; 3\20<br /> | ||
</td> | </td> | ||
<td>3\20 &lt; g &lt; 4\26 | <td>3\20 &lt; g &lt; 4\26<br /> | ||
</td> | |||
<td>4\26 &lt; g &lt; 5\32<br /> | |||
</td> | </td> | ||
<td>4g-1\2<br /> | <td>4g-1\2<br /> | ||
| Line 2,102: | Line 2,298: | ||
</td> | </td> | ||
<td>2\21 &lt; g &lt; 3\28<br /> | <td>2\21 &lt; g &lt; 3\28<br /> | ||
</td> | |||
<td>3\28 &lt; g &lt; 4\35<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 2,118: | Line 2,316: | ||
</td> | </td> | ||
<td>8\22 &lt; g &lt; 11\30<br /> | <td>8\22 &lt; g &lt; 11\30<br /> | ||
</td> | |||
<td>11\30 &lt; g &lt; 14\38<br /> | |||
</td> | </td> | ||
<td>-1+3g<br /> | <td>-1+3g<br /> | ||
| Line 2,134: | Line 2,334: | ||
</td> | </td> | ||
<td>5\23 &lt; g &lt; 7\32<br /> | <td>5\23 &lt; g &lt; 7\32<br /> | ||
</td> | |||
<td>7\32 &lt; g &lt; 9\41<br /> | |||
</td> | </td> | ||
<td>-1+5g<br /> | <td>-1+5g<br /> | ||
| Line 2,149: | Line 2,351: | ||
<td>4\14 &lt; g &lt; 7\24<br /> | <td>4\14 &lt; g &lt; 7\24<br /> | ||
</td> | </td> | ||
<td>7\24 &lt; g &lt; 10\34 | <td>7\24 &lt; g &lt; 10\34<br /> | ||
</td> | |||
<td>10\34 &lt; g &lt; 13\44<br /> | |||
</td> | </td> | ||
<td>-1\2+2g<br /> | <td>-1\2+2g<br /> | ||
| Line 2,166: | Line 2,370: | ||
</td> | </td> | ||
<td>9\25 &lt; g &lt; 13\36<br /> | <td>9\25 &lt; g &lt; 13\36<br /> | ||
</td> | |||
<td>13\36 &lt; g &lt; 17\47<br /> | |||
</td> | </td> | ||
<td>-1+3g<br /> | <td>-1+3g<br /> | ||
| Line 2,179: | Line 2,385: | ||
<td>g = 13\168<br /> | <td>g = 13\168<br /> | ||
</td> | </td> | ||
<td>1\14 &lt; g &lt; 2\26 | <td>1\14 &lt; g &lt; 2\26<br /> | ||
</td> | |||
<td>2\26 &lt; g &lt; 3\38<br /> | |||
</td> | </td> | ||
<td> | <td>3\38 &lt; g &lt; 4\50<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 2,198: | Line 2,406: | ||
</td> | </td> | ||
<td>2\27 &lt; g &lt; 3\40<br /> | <td>2\27 &lt; g &lt; 3\40<br /> | ||
</td> | |||
<td>3\40 &lt; g &lt; 4\53<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 2,212: | Line 2,422: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 2,237: | Line 2,449: | ||
</td> | </td> | ||
<td>15\16 &lt; g &lt; 16\17<br /> | <td>15\16 &lt; g &lt; 16\17<br /> | ||
</td> | |||
<td>16\17 &lt; g &lt; 17\18<br /> | |||
</td> | </td> | ||
<td>-13+14g<br /> | <td>-13+14g<br /> | ||
| Line 2,253: | Line 2,467: | ||
</td> | </td> | ||
<td>8\17 &lt; g &lt; 9\19<br /> | <td>8\17 &lt; g &lt; 9\19<br /> | ||
</td> | |||
<td>9\19 &lt; g &lt; 10\21<br /> | |||
</td> | </td> | ||
<td>-6+13g<br /> | <td>-6+13g<br /> | ||
| Line 2,268: | Line 2,484: | ||
<td>4\15 &lt; g &lt; 5\18<br /> | <td>4\15 &lt; g &lt; 5\18<br /> | ||
</td> | </td> | ||
<td>5\18 &lt; g &lt; 6\21 | <td>5\18 &lt; g &lt; 6\21<br /> | ||
</td> | |||
<td>6\21 &lt; g &lt; 7\24<br /> | |||
</td> | </td> | ||
<td>-1+4g<br /> | <td>-1+4g<br /> | ||
| Line 2,285: | Line 2,503: | ||
</td> | </td> | ||
<td>14\19 &lt; g &lt; 17\23<br /> | <td>14\19 &lt; g &lt; 17\23<br /> | ||
</td> | |||
<td>17\23 &lt; g &lt; 20\27<br /> | |||
</td> | </td> | ||
<td>-8+11g<br /> | <td>-8+11g<br /> | ||
| Line 2,301: | Line 2,521: | ||
</td> | </td> | ||
<td>3\20 &lt; g &lt; 4\25<br /> | <td>3\20 &lt; g &lt; 4\25<br /> | ||
</td> | |||
<td>4\25 &lt; g &lt; 5\30<br /> | |||
</td> | </td> | ||
<td>-1\5+2g<br /> | <td>-1\5+2g<br /> | ||
| Line 2,314: | Line 2,536: | ||
<td>g = 9\60<br /> | <td>g = 9\60<br /> | ||
</td> | </td> | ||
<td>2\15 &lt; g &lt; 3\21 | <td>2\15 &lt; g &lt; 3\21<br /> | ||
</td> | </td> | ||
<td>3\21 | <td>3\21 &lt; g &lt; 4\27<br /> | ||
</td> | |||
<td>4\27 &lt; g &lt; 5\33<br /> | |||
</td> | </td> | ||
<td>-1\3+3g<br /> | <td>-1\3+3g<br /> | ||
| Line 2,333: | Line 2,557: | ||
</td> | </td> | ||
<td>3\22 &lt; g &lt; 4\29<br /> | <td>3\22 &lt; g &lt; 4\29<br /> | ||
</td> | |||
<td>4\29 &lt; g &lt; 5\36<br /> | |||
</td> | </td> | ||
<td>-1+8g<br /> | <td>-1+8g<br /> | ||
| Line 2,349: | Line 2,575: | ||
</td> | </td> | ||
<td>20\23 &lt; g &lt; 27\31<br /> | <td>20\23 &lt; g &lt; 27\31<br /> | ||
</td> | |||
<td>27\31 &lt; g &lt; 34\39<br /> | |||
</td> | </td> | ||
<td>-6+7g<br /> | <td>-6+7g<br /> | ||
| Line 2,358: | Line 2,586: | ||
<td>9L6s<br /> | <td>9L6s<br /> | ||
</td> | </td> | ||
<td>3\15 | <td>3\15 &lt; g &lt; 2\9<br /> | ||
</td> | </td> | ||
<td>g = 19\90<br /> | <td>g = 19\90<br /> | ||
</td> | </td> | ||
<td>3\15 | <td>3\15 &lt; g &lt; 5\24<br /> | ||
</td> | </td> | ||
<td>5\24 &lt; g &lt; 7\33<br /> | <td>5\24 &lt; g &lt; 7\33<br /> | ||
</td> | |||
<td>7\33 &lt; g &lt; 9\42<br /> | |||
</td> | </td> | ||
<td>-1\3+2g<br /> | <td>-1\3+2g<br /> | ||
| Line 2,381: | Line 2,611: | ||
</td> | </td> | ||
<td>2\25 &lt; g &lt; 3\35<br /> | <td>2\25 &lt; g &lt; 3\35<br /> | ||
</td> | |||
<td>3\35 &lt; g &lt; 4\45<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 2,397: | Line 2,629: | ||
</td> | </td> | ||
<td>7\26 &lt; g &lt; 10\37<br /> | <td>7\26 &lt; g &lt; 10\37<br /> | ||
</td> | |||
<td>10\37 &lt; g &lt; 13\48<br /> | |||
</td> | </td> | ||
<td>-1+4g<br /> | <td>-1+4g<br /> | ||
| Line 2,412: | Line 2,646: | ||
<td>1\15 &lt; g &lt; 2\27<br /> | <td>1\15 &lt; g &lt; 2\27<br /> | ||
</td> | </td> | ||
<td>2\27 &lt; g &lt; 3\39 | <td>2\27 &lt; g &lt; 3\39<br /> | ||
</td> | |||
<td>3\39 &lt; g &lt; 4\51<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 2,429: | Line 2,665: | ||
</td> | </td> | ||
<td>15\28 &lt; g &lt; 22\41<br /> | <td>15\28 &lt; g &lt; 22\41<br /> | ||
</td> | |||
<td>22\41 &lt; g &lt; 29\54<br /> | |||
</td> | </td> | ||
<td>-1+2g<br /> | <td>-1+2g<br /> | ||
| Line 2,445: | Line 2,683: | ||
</td> | </td> | ||
<td>2\29 &lt; g &lt; 3\43<br /> | <td>2\29 &lt; g &lt; 3\43<br /> | ||
</td> | |||
<td>3\43 &lt; g &lt; 4\57<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 2,459: | Line 2,699: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 2,484: | Line 2,726: | ||
</td> | </td> | ||
<td>16\17 &lt; g &lt; 17\18<br /> | <td>16\17 &lt; g &lt; 17\18<br /> | ||
</td> | |||
<td>17\18 &lt; g &lt; 18\19<br /> | |||
</td> | </td> | ||
<td>-14+15g<br /> | <td>-14+15g<br /> | ||
| Line 2,497: | Line 2,741: | ||
<td>g = 15\32<br /> | <td>g = 15\32<br /> | ||
</td> | </td> | ||
<td>7\16 &lt; g &lt; 8\18 | <td>7\16 &lt; g &lt; 8\18<br /> | ||
</td> | </td> | ||
<td>8\18 | <td>8\18 &lt; g &lt; 9\20<br /> | ||
</td> | |||
<td>9\20 &lt; g &lt; 10\22<br /> | |||
</td> | </td> | ||
<td>-3+7g<br /> | <td>-3+7g<br /> | ||
| Line 2,516: | Line 2,762: | ||
</td> | </td> | ||
<td>6\19 &lt; g &lt; 7\22<br /> | <td>6\19 &lt; g &lt; 7\22<br /> | ||
</td> | |||
<td>7\22 &lt; g &lt; 8\25<br /> | |||
</td> | </td> | ||
<td>-4+13g<br /> | <td>-4+13g<br /> | ||
| Line 2,529: | Line 2,777: | ||
<td>g = 7\32<br /> | <td>g = 7\32<br /> | ||
</td> | </td> | ||
<td>3\16 &lt; g &lt; 4\20 | <td>3\16 &lt; g &lt; 4\20<br /> | ||
</td> | </td> | ||
<td>4\20 | <td>4\20 &lt; g &lt; 5\24<br /> | ||
</td> | |||
<td>5\24 &lt; g &lt; 6\28<br /> | |||
</td> | </td> | ||
<td>3g-1\2<br /> | <td>3g-1\2<br /> | ||
| Line 2,548: | Line 2,798: | ||
</td> | </td> | ||
<td>4\21 &lt; g &lt; 5\26<br /> | <td>4\21 &lt; g &lt; 5\26<br /> | ||
</td> | |||
<td>5\26 &lt; g &lt; 6\31<br /> | |||
</td> | </td> | ||
<td>-2+11g<br /> | <td>-2+11g<br /> | ||
| Line 2,564: | Line 2,816: | ||
</td> | </td> | ||
<td>7\22 &lt; g &lt; 9\28<br /> | <td>7\22 &lt; g &lt; 9\28<br /> | ||
</td> | |||
<td>9\28 &lt; g &lt; 11\34<br /> | |||
</td> | </td> | ||
<td>-3\2+5g<br /> | <td>-3\2+5g<br /> | ||
| Line 2,580: | Line 2,834: | ||
</td> | </td> | ||
<td>13\23 &lt; g &lt; 17\30<br /> | <td>13\23 &lt; g &lt; 17\30<br /> | ||
</td> | |||
<td>17\30 &lt; g &lt; 21\37<br /> | |||
</td> | </td> | ||
<td>-5+9g<br /> | <td>-5+9g<br /> | ||
| Line 2,593: | Line 2,849: | ||
<td>g = 3\32<br /> | <td>g = 3\32<br /> | ||
</td> | </td> | ||
<td>1\16 &lt; g &lt; 2\24 | <td>1\16 &lt; g &lt; 2\24<br /> | ||
</td> | |||
<td>2\24 &lt; g &lt; 3\32<br /> | |||
</td> | </td> | ||
<td> | <td>3\32 &lt; g &lt; 4\40<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 2,612: | Line 2,870: | ||
</td> | </td> | ||
<td>11\25 &lt; g &lt; 15\34<br /> | <td>11\25 &lt; g &lt; 15\34<br /> | ||
</td> | |||
<td>15\34 &lt; g &lt; 19\43<br /> | |||
</td> | </td> | ||
<td>-3+7g<br /> | <td>-3+7g<br /> | ||
| Line 2,628: | Line 2,888: | ||
</td> | </td> | ||
<td>5\26 &lt; g &lt; 7\36<br /> | <td>5\26 &lt; g &lt; 7\36<br /> | ||
</td> | |||
<td>7\36 &lt; g &lt; 8\46<br /> | |||
</td> | </td> | ||
<td>3g-1\2<br /> | <td>3g-1\2<br /> | ||
| Line 2,644: | Line 2,906: | ||
</td> | </td> | ||
<td>22\27 &lt; g &lt; 31\38<br /> | <td>22\27 &lt; g &lt; 31\38<br /> | ||
</td> | |||
<td>31\38 &lt; g &lt; 40\49<br /> | |||
</td> | </td> | ||
<td>-4+5g<br /> | <td>-4+5g<br /> | ||
| Line 2,657: | Line 2,921: | ||
<td>g = 7\48<br /> | <td>g = 7\48<br /> | ||
</td> | </td> | ||
<td>1\16 &lt; g &lt; 2\28 | <td>1\16 &lt; g &lt; 2\28<br /> | ||
</td> | </td> | ||
<td>2\28 | <td>2\28 &lt; g &lt; 3\40<br /> | ||
</td> | |||
<td>3\40 &lt; g &lt; 4\52<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 2,676: | Line 2,942: | ||
</td> | </td> | ||
<td>20\29 &lt; g &lt; 29\42<br /> | <td>20\29 &lt; g &lt; 29\42<br /> | ||
</td> | |||
<td>29\42 &lt; g &lt; 38\55<br /> | |||
</td> | </td> | ||
<td>-2+3g<br /> | <td>-2+3g<br /> | ||
| Line 2,689: | Line 2,957: | ||
<td>g = 15\224<br /> | <td>g = 15\224<br /> | ||
</td> | </td> | ||
<td>1\16 &lt; g &lt; 2\30 | <td>1\16 &lt; g &lt; 2\30<br /> | ||
</td> | |||
<td>2\30 &lt; g &lt; 3\44<br /> | |||
</td> | </td> | ||
<td> | <td>3\44 &lt; g &lt; 4\58<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 2,708: | Line 2,978: | ||
</td> | </td> | ||
<td>2\31 &lt; g &lt; 3\46<br /> | <td>2\31 &lt; g &lt; 3\46<br /> | ||
</td> | |||
<td>3\46 &lt; g &lt; 4\61<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 2,722: | Line 2,994: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th>Midpoint<br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 2,747: | Line 3,021: | ||
</td> | </td> | ||
<td>17\18 &lt; g &lt; 18\19<br /> | <td>17\18 &lt; g &lt; 18\19<br /> | ||
</td> | |||
<td>18\19 &lt; g &lt; 19\20<br /> | |||
</td> | </td> | ||
<td>-15+16g<br /> | <td>-15+16g<br /> | ||
| Line 2,763: | Line 3,039: | ||
</td> | </td> | ||
<td>9\19 &lt; g &lt; 10\21<br /> | <td>9\19 &lt; g &lt; 10\21<br /> | ||
</td> | |||
<td>10\21 &lt; g &lt; 11\23<br /> | |||
</td> | </td> | ||
<td>-7+15g<br /> | <td>-7+15g<br /> | ||
| Line 2,779: | Line 3,057: | ||
</td> | </td> | ||
<td>13\20 &lt; g &lt; 15\23<br /> | <td>13\20 &lt; g &lt; 15\23<br /> | ||
</td> | |||
<td>15\23 &lt; g &lt; 17\26<br /> | |||
</td> | </td> | ||
<td>-9+14g<br /> | <td>-9+14g<br /> | ||
| Line 2,795: | Line 3,075: | ||
</td> | </td> | ||
<td>5\21 &lt; g &lt; 6\25<br /> | <td>5\21 &lt; g &lt; 6\25<br /> | ||
</td> | |||
<td>6\25 &lt; g &lt; 7\29<br /> | |||
</td> | </td> | ||
<td>-3+13g<br /> | <td>-3+13g<br /> | ||
| Line 2,811: | Line 3,093: | ||
</td> | </td> | ||
<td>13\22 &lt; g &lt; 16\27<br /> | <td>13\22 &lt; g &lt; 16\27<br /> | ||
</td> | |||
<td>16\27 &lt; g &lt; 19\32<br /> | |||
</td> | </td> | ||
<td>-7+12g<br /> | <td>-7+12g<br /> | ||
| Line 2,827: | Line 3,111: | ||
</td> | </td> | ||
<td>19\23 &lt; g &lt; 24\29<br /> | <td>19\23 &lt; g &lt; 24\29<br /> | ||
</td> | |||
<td>24\29 &lt; g &lt; 29\35<br /> | |||
</td> | </td> | ||
<td>-9+11g<br /> | <td>-9+11g<br /> | ||
| Line 2,843: | Line 3,129: | ||
</td> | </td> | ||
<td>17\24 &lt; g &lt; 22\31<br /> | <td>17\24 &lt; g &lt; 22\31<br /> | ||
</td> | |||
<td>22\31 &lt; g &lt; 27\38<br /> | |||
</td> | </td> | ||
<td>-7+10g<br /> | <td>-7+10g<br /> | ||
| Line 2,859: | Line 3,147: | ||
</td> | </td> | ||
<td>3\25 &lt; g &lt; 4\33<br /> | <td>3\25 &lt; g &lt; 4\33<br /> | ||
</td> | |||
<td>4\33 &lt; g &lt; 5\41<br /> | |||
</td> | </td> | ||
<td>-1+9g<br /> | <td>-1+9g<br /> | ||
| Line 2,875: | Line 3,165: | ||
</td> | </td> | ||
<td>23\26 &lt; g &lt; 31\35<br /> | <td>23\26 &lt; g &lt; 31\35<br /> | ||
</td> | |||
<td>31\35 &lt; g &lt; 39\44<br /> | |||
</td> | </td> | ||
<td>-7+8g<br /> | <td>-7+8g<br /> | ||
| Line 2,891: | Line 3,183: | ||
</td> | </td> | ||
<td>8\27 &lt; g &lt; 11\37<br /> | <td>8\27 &lt; g &lt; 11\37<br /> | ||
</td> | |||
<td>11\37 &lt; g &lt; 14\47<br /> | |||
</td> | </td> | ||
<td>-2+7g<br /> | <td>-2+7g<br /> | ||
| Line 2,907: | Line 3,201: | ||
</td> | </td> | ||
<td>5\28 &lt; g &lt; 7\39<br /> | <td>5\28 &lt; g &lt; 7\39<br /> | ||
</td> | |||
<td>7\39 &lt; g &lt; 9\50<br /> | |||
</td> | </td> | ||
<td>-1+6g<br /> | <td>-1+6g<br /> | ||
| Line 2,923: | Line 3,219: | ||
</td> | </td> | ||
<td>12\29 &lt; g &lt; 17\41<br /> | <td>12\29 &lt; g &lt; 17\41<br /> | ||
</td> | |||
<td>17\41 &lt; g &lt; 22\53<br /> | |||
</td> | </td> | ||
<td>-2+5g<br /> | <td>-2+5g<br /> | ||
| Line 2,939: | Line 3,237: | ||
</td> | </td> | ||
<td>23\30 &lt; g &lt; 33\43<br /> | <td>23\30 &lt; g &lt; 33\43<br /> | ||
</td> | |||
<td>33\43 &lt; g &lt; 43\56<br /> | |||
</td> | </td> | ||
<td>-3+4g<br /> | <td>-3+4g<br /> | ||
| Line 2,955: | Line 3,255: | ||
</td> | </td> | ||
<td>11\31 &lt; g &lt; 16\45<br /> | <td>11\31 &lt; g &lt; 16\45<br /> | ||
</td> | |||
<td>16\45 &lt; g &lt; 21\59<br /> | |||
</td> | </td> | ||
<td>-1+3g<br /> | <td>-1+3g<br /> | ||
| Line 2,971: | Line 3,273: | ||
</td> | </td> | ||
<td>17\32 &lt; g &lt; 25\47<br /> | <td>17\32 &lt; g &lt; 25\47<br /> | ||
</td> | |||
<td>25\47 &lt; g &lt; 33\62<br /> | |||
</td> | </td> | ||
<td>-1+2g<br /> | <td>-1+2g<br /> | ||
| Line 2,987: | Line 3,291: | ||
</td> | </td> | ||
<td>2\33 &lt; g &lt; 3\49<br /> | <td>2\33 &lt; g &lt; 3\49<br /> | ||
</td> | |||
<td>3\49 &lt; g &lt; 4\65<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,001: | Line 3,307: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th><span style="background-color: #ffffff;">Midpoint</span><br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 3,026: | Line 3,334: | ||
</td> | </td> | ||
<td>18\19 &lt; g &lt; 19\20<br /> | <td>18\19 &lt; g &lt; 19\20<br /> | ||
</td> | |||
<td>19\20 &lt; g &lt; 20\21<br /> | |||
</td> | </td> | ||
<td>-16+17g<br /> | <td>-16+17g<br /> | ||
| Line 3,041: | Line 3,351: | ||
<td>8\18 &lt; g &lt; 9\20<br /> | <td>8\18 &lt; g &lt; 9\20<br /> | ||
</td> | </td> | ||
<td>9\20 &lt; g &lt; 10\22 | <td>9\20 &lt; g &lt; 10\22<br /> | ||
</td> | |||
<td>10\22 &lt; g &lt; 11\24<br /> | |||
</td> | </td> | ||
<td>-7\2+8g<br /> | <td>-7\2+8g<br /> | ||
| Line 3,058: | Line 3,370: | ||
</td> | </td> | ||
<td>6\21 &lt; g &lt; 7\24<br /> | <td>6\21 &lt; g &lt; 7\24<br /> | ||
</td> | |||
<td>7\24 &lt; g &lt; 8\27<br /> | |||
</td> | </td> | ||
<td>-4\3+5g<br /> | <td>-4\3+5g<br /> | ||
| Line 3,073: | Line 3,387: | ||
<td><span style="line-height: 15.6000003814697px;">4\18 &lt; g &lt; 5\22</span><br /> | <td><span style="line-height: 15.6000003814697px;">4\18 &lt; g &lt; 5\22</span><br /> | ||
</td> | </td> | ||
<td><span style="line-height: 15.6000003814697px;">5\22 &lt; g &lt; 6\26 | <td><span style="line-height: 15.6000003814697px;">5\22 &lt; g &lt; 6\26</span><br /> | ||
</td> | |||
<td>6\26 &lt; g &lt; 7\30<br /> | |||
</td> | </td> | ||
<td>-3\2+7g<br /> | <td>-3\2+7g<br /> | ||
| Line 3,090: | Line 3,406: | ||
</td> | </td> | ||
<td>9\23 &lt; g &lt; 11\28<br /> | <td>9\23 &lt; g &lt; 11\28<br /> | ||
</td> | |||
<td>11\28 &lt; g &lt; 13\33<br /> | |||
</td> | </td> | ||
<td>-5+13g<br /> | <td>-5+13g<br /> | ||
| Line 3,105: | Line 3,423: | ||
<td>2\18 &lt; g &lt; 3\24<br /> | <td>2\18 &lt; g &lt; 3\24<br /> | ||
</td> | </td> | ||
<td>3\24 &lt; g &lt; 4\30 | <td>3\24 &lt; g &lt; 4\30<br /> | ||
</td> | |||
<td>4\30 &lt; g &lt; 5\36<br /> | |||
</td> | </td> | ||
<td>-1\6+2g<br /> | <td>-1\6+2g<br /> | ||
| Line 3,122: | Line 3,442: | ||
</td> | </td> | ||
<td>7\25 &lt; g &lt; 9\32<br /> | <td>7\25 &lt; g &lt; 9\32<br /> | ||
</td> | |||
<td>9\32 &lt; g &lt; 11\39<br /> | |||
</td> | </td> | ||
<td>-3+11g<br /> | <td>-3+11g<br /> | ||
| Line 3,137: | Line 3,459: | ||
<td>2\18 &lt; g &lt; 3\26<br /> | <td>2\18 &lt; g &lt; 3\26<br /> | ||
</td> | </td> | ||
<td>3\26 &lt; g &lt; 4\34 | <td>3\26 &lt; g &lt; 4\34<br /> | ||
</td> | |||
<td>4\34 &lt; g &lt; 5\42<br /> | |||
</td> | </td> | ||
<td>-1\2+5g<br /> | <td>-1\2+5g<br /> | ||
| Line 3,153: | Line 3,477: | ||
<td>1\18 &lt; g &lt; 2\27<br /> | <td>1\18 &lt; g &lt; 2\27<br /> | ||
</td> | </td> | ||
<td>2\27 &lt; g &lt; 3\36 | <td>2\27 &lt; g &lt; 3\36<br /> | ||
</td> | |||
<td>3\36 &lt; g &lt; 4\45<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,170: | Line 3,496: | ||
</td> | </td> | ||
<td>11\28 &lt; g &lt; 15\38<br /> | <td>11\28 &lt; g &lt; 15\38<br /> | ||
</td> | |||
<td>15\38 &lt; g &lt; 19\43<br /> | |||
</td> | </td> | ||
<td>-3\2+4g<br /> | <td>-3\2+4g<br /> | ||
| Line 3,185: | Line 3,513: | ||
<td>13\18 &lt; g &lt; 21\29<br /> | <td>13\18 &lt; g &lt; 21\29<br /> | ||
</td> | </td> | ||
<td>21\29 &lt; g &lt; 29\37<br /> | <td>21\29 &lt; g &lt; 29\40<br /> | ||
</td> | |||
<td>29\40 &lt; g &lt; 37\51<br /> | |||
</td> | </td> | ||
<td>-5+7g<br /> | <td>-5+7g<br /> | ||
| Line 3,201: | Line 3,531: | ||
<td>1\18 &lt; g &lt; 2\30<br /> | <td>1\18 &lt; g &lt; 2\30<br /> | ||
</td> | </td> | ||
<td>2\30 &lt; g &lt; 3\42 | <td>2\30 &lt; g &lt; 3\42<br /> | ||
</td> | |||
<td>3\42 &lt; g &lt; 4\54<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,218: | Line 3,550: | ||
</td> | </td> | ||
<td>19\31 &lt; g &lt; 27\44<br /> | <td>19\31 &lt; g &lt; 27\44<br /> | ||
</td> | |||
<td>27\44 &lt; g &lt; 35\57<br /> | |||
</td> | </td> | ||
<td>-3+5g<br /> | <td>-3+5g<br /> | ||
| Line 3,233: | Line 3,567: | ||
<td>5\18 &lt; g &lt; 9\32<br /> | <td>5\18 &lt; g &lt; 9\32<br /> | ||
</td> | </td> | ||
<td>9\32 &lt; g &lt; | <td>9\32 &lt; g &lt; 13\46<br /> | ||
</td> | |||
<td>13\46 &lt; g &lt; 17\60<br /> | |||
</td> | </td> | ||
<td>-1\2+2g<br /> | <td>-1\2+2g<br /> | ||
| Line 3,249: | Line 3,585: | ||
<td>1\18 &lt; g &lt; 2\33<br /> | <td>1\18 &lt; g &lt; 2\33<br /> | ||
</td> | </td> | ||
<td>2\33 &lt; g &lt; 3\48 | <td>2\33 &lt; g &lt; 3\48<br /> | ||
</td> | |||
<td>3\48 &lt; g &lt; 4\63<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,263: | Line 3,601: | ||
<td>g = 17\288<br /> | <td>g = 17\288<br /> | ||
</td> | </td> | ||
<td>1\18 &lt; g &lt; 2\34 | <td>1\18 &lt; g &lt; 2\34<br /> | ||
</td> | |||
<td>2\34 &lt; g &lt; 3\50<br /> | |||
</td> | </td> | ||
<td> | <td>3\50 &lt; g &lt; 4\66<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,282: | Line 3,622: | ||
</td> | </td> | ||
<td>2\35 &lt; g &lt; 3\52<br /> | <td>2\35 &lt; g &lt; 3\52<br /> | ||
</td> | |||
<td>3\52 &lt; g &lt; 4\69<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,296: | Line 3,638: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th><span style="background-color: #ffffff;">Midpoint</span><br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 3,321: | Line 3,665: | ||
</td> | </td> | ||
<td>19\20 &lt; g &lt; 20\21<br /> | <td>19\20 &lt; g &lt; 20\21<br /> | ||
</td> | |||
<td>20\21 &lt; g &lt; 21\22<br /> | |||
</td> | </td> | ||
<td>-17+18g<br /> | <td>-17+18g<br /> | ||
| Line 3,337: | Line 3,683: | ||
</td> | </td> | ||
<td>10\21 &lt; g &lt; 11\23<br /> | <td>10\21 &lt; g &lt; 11\23<br /> | ||
</td> | |||
<td>11\23 &lt; g &lt; 12\25<br /> | |||
</td> | </td> | ||
<td>-8+17g<br /> | <td>-8+17g<br /> | ||
| Line 3,353: | Line 3,701: | ||
</td> | </td> | ||
<td>7\22 &lt; g &lt; 8\25<br /> | <td>7\22 &lt; g &lt; 8\25<br /> | ||
</td> | |||
<td>9\28 &lt; g &lt; 10\31<br /> | |||
</td> | </td> | ||
<td>-5+16g<br /> | <td>-5+16g<br /> | ||
| Line 3,369: | Line 3,719: | ||
</td> | </td> | ||
<td>17\23 &lt; g &lt; 20\27<br /> | <td>17\23 &lt; g &lt; 20\27<br /> | ||
</td> | |||
<td>20\27 &lt; g &lt; 23\31<br /> | |||
</td> | </td> | ||
<td>-11+15g<br /> | <td>-11+15g<br /> | ||
| Line 3,385: | Line 3,737: | ||
</td> | </td> | ||
<td>19\24 &lt; g &lt; 23\29<br /> | <td>19\24 &lt; g &lt; 23\29<br /> | ||
</td> | |||
<td>23\29 &lt; g &lt; 27\34<br /> | |||
</td> | </td> | ||
<td>-11+14g<br /> | <td>-11+14g<br /> | ||
| Line 3,401: | Line 3,755: | ||
</td> | </td> | ||
<td>4\25 &lt; g &lt; 5\31<br /> | <td>4\25 &lt; g &lt; 5\31<br /> | ||
</td> | |||
<td>5\31 &lt; g &lt; 6/37<br /> | |||
</td> | </td> | ||
<td>-2+13g<br /> | <td>-2+13g<br /> | ||
| Line 3,417: | Line 3,773: | ||
</td> | </td> | ||
<td>11\26 &lt; g &lt; 14\33<br /> | <td>11\26 &lt; g &lt; 14\33<br /> | ||
</td> | |||
<td>14\33 &lt; g &lt; 17\40<br /> | |||
</td> | </td> | ||
<td>-5+12g<br /> | <td>-5+12g<br /> | ||
| Line 3,433: | Line 3,791: | ||
</td> | </td> | ||
<td>10\27 &lt; g &lt; 13\35<br /> | <td>10\27 &lt; g &lt; 13\35<br /> | ||
</td> | |||
<td>13\35 &lt; g &lt; 16\43<br /> | |||
</td> | </td> | ||
<td>-4+11g<br /> | <td>-4+11g<br /> | ||
| Line 3,449: | Line 3,809: | ||
</td> | </td> | ||
<td>3\28 &lt; g &lt; 4\37<br /> | <td>3\28 &lt; g &lt; 4\37<br /> | ||
</td> | |||
<td>4\37 &lt; g &lt; 5\46<br /> | |||
</td> | </td> | ||
<td>-1+10g<br /> | <td>-1+10g<br /> | ||
| Line 3,465: | Line 3,827: | ||
</td> | </td> | ||
<td>26\29 &lt; g &lt; 35\39<br /> | <td>26\29 &lt; g &lt; 35\39<br /> | ||
</td> | |||
<td>35\39 &lt; g &lt; 44\49<br /> | |||
</td> | </td> | ||
<td>-8+9g<br /> | <td>-8+9g<br /> | ||
| Line 3,481: | Line 3,845: | ||
</td> | </td> | ||
<td>19\30 &lt; g &lt; 26\41<br /> | <td>19\30 &lt; g &lt; 26\41<br /> | ||
</td> | |||
<td>26\41 &lt; g &lt; 33\52<br /> | |||
</td> | </td> | ||
<td>-5+8g<br /> | <td>-5+8g<br /> | ||
| Line 3,497: | Line 3,863: | ||
</td> | </td> | ||
<td>18\31 &lt; g &lt; 25\43<br /> | <td>18\31 &lt; g &lt; 25\43<br /> | ||
</td> | |||
<td>25\43 &lt; g &lt; 32\55<br /> | |||
</td> | </td> | ||
<td>-4+7g<br /> | <td>-4+7g<br /> | ||
| Line 3,512: | Line 3,880: | ||
<td>16\19 &lt; g &lt; 27\32<br /> | <td>16\19 &lt; g &lt; 27\32<br /> | ||
</td> | </td> | ||
<td>27\32 &lt; g &lt; 38\45&lt;<br /> | <td>27\32 &lt; g &lt; 38\45<br /> | ||
</td> | |||
<td>38\45 &lt; g &lt; 49\58<br /> | |||
</td> | </td> | ||
<td>-5+6g<br /> | <td>-5+6g<br /> | ||
| Line 3,529: | Line 3,899: | ||
</td> | </td> | ||
<td>7\33 &lt; g &lt; 10\47<br /> | <td>7\33 &lt; g &lt; 10\47<br /> | ||
</td> | |||
<td>10\47 &lt; g &lt; 13\61<br /> | |||
</td> | </td> | ||
<td>-1+5g<br /> | <td>-1+5g<br /> | ||
| Line 3,545: | Line 3,917: | ||
</td> | </td> | ||
<td>9\34 &lt; g &lt; 13\49<br /> | <td>9\34 &lt; g &lt; 13\49<br /> | ||
</td> | |||
<td>13\49 &lt; g &lt; 17\64<br /> | |||
</td> | </td> | ||
<td>-1+4g<br /> | <td>-1+4g<br /> | ||
| Line 3,561: | Line 3,935: | ||
</td> | </td> | ||
<td>24\35 &lt; g &lt; 35\51<br /> | <td>24\35 &lt; g &lt; 35\51<br /> | ||
</td> | |||
<td>35\51 &lt; g &lt; 46\67<br /> | |||
</td> | </td> | ||
<td>-2+3g<br /> | <td>-2+3g<br /> | ||
| Line 3,576: | Line 3,952: | ||
<td>10\19 &lt; g &lt; 19\36<br /> | <td>10\19 &lt; g &lt; 19\36<br /> | ||
</td> | </td> | ||
<td>19\36 &lt; g &lt; | <td>19\36 &lt; g &lt; 28\53<br /> | ||
</td> | |||
<td>28\53 &lt; g &lt; 37\70<br /> | |||
</td> | </td> | ||
<td>-1+2g<br /> | <td>-1+2g<br /> | ||
| Line 3,593: | Line 3,971: | ||
</td> | </td> | ||
<td>2\37 &lt; g &lt; 3\55<br /> | <td>2\37 &lt; g &lt; 3\55<br /> | ||
</td> | |||
<td>3\55 &lt; g &lt;<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,607: | Line 3,987: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th><span style="background-color: #ffffff;">Midpoint</span><br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 3,632: | Line 4,014: | ||
</td> | </td> | ||
<td>20\21 &lt; g &lt; 21\22<br /> | <td>20\21 &lt; g &lt; 21\22<br /> | ||
</td> | |||
<td>21\22 &lt; g &lt; 22\23<br /> | |||
</td> | </td> | ||
<td>-18+19g<br /> | <td>-18+19g<br /> | ||
| Line 3,648: | Line 4,032: | ||
</td> | </td> | ||
<td>10\22 &lt; g &lt; 11\24<br /> | <td>10\22 &lt; g &lt; 11\24<br /> | ||
</td> | |||
<td>11\24 &lt; g &lt; 12\26<br /> | |||
</td> | </td> | ||
<td>-4+9g<br /> | <td>-4+9g<br /> | ||
| Line 3,664: | Line 4,050: | ||
</td> | </td> | ||
<td>15\23 &lt; g &lt; 17\26<br /> | <td>15\23 &lt; g &lt; 17\26<br /> | ||
</td> | |||
<td>17\26 &lt; g &lt; 20\29<br /> | |||
</td> | </td> | ||
<td>-11+17g<br /> | <td>-11+17g<br /> | ||
| Line 3,673: | Line 4,061: | ||
<td>4L16s<br /> | <td>4L16s<br /> | ||
</td> | </td> | ||
<td>4\20 | <td>4\20 &lt; g &lt; 1\4<br /> | ||
</td> | </td> | ||
<td>g = 9\40<br /> | <td>g = 9\40<br /> | ||
</td> | </td> | ||
<td>4\20 | <td>4\20 &lt; g &lt; 5\24<br /> | ||
</td> | </td> | ||
<td>5\24 &lt; g &lt; 6\28 | <td>5\24 &lt; g &lt; 6\28<br /> | ||
</td> | |||
<td>6\28 &lt; g &lt; 7\32<br /> | |||
</td> | </td> | ||
<td>-3\4+4g<br /> | <td>-3\4+4g<br /> | ||
| Line 3,695: | Line 4,085: | ||
<td>3\20 &lt; g &lt; 4\25<br /> | <td>3\20 &lt; g &lt; 4\25<br /> | ||
</td> | </td> | ||
<td>4\25 &lt; g &lt; 5\30 | <td>4\25 &lt; g &lt; 5\30<br /> | ||
</td> | |||
<td>5\30 &lt; g &lt; 6\35<br /> | |||
</td> | </td> | ||
<td>-2\5+3g<br /> | <td>-2\5+3g<br /> | ||
| Line 3,712: | Line 4,104: | ||
</td> | </td> | ||
<td>4\26 &lt; g &lt; 5\32<br /> | <td>4\26 &lt; g &lt; 5\32<br /> | ||
</td> | |||
<td>5\32 &lt; g &lt; 6\38<br /> | |||
</td> | </td> | ||
<td>-1+7g<br /> | <td>-1+7g<br /> | ||
| Line 3,728: | Line 4,122: | ||
</td> | </td> | ||
<td>23\27 &lt; g &lt; 29\34<br /> | <td>23\27 &lt; g &lt; 29\34<br /> | ||
</td> | |||
<td>29\34 &lt; g &lt; 35\41<br /> | |||
</td> | </td> | ||
<td>-11+13g<br /> | <td>-11+13g<br /> | ||
| Line 3,743: | Line 4,139: | ||
<td>2\20 &lt; g &lt; 3\28<br /> | <td>2\20 &lt; g &lt; 3\28<br /> | ||
</td> | </td> | ||
<td>3\28 &lt; g &lt; 4\36 | <td>3\28 &lt; g &lt; 4\36<br /> | ||
</td> | |||
<td>4\36 &lt; g &lt; 5\44<br /> | |||
</td> | </td> | ||
<td>-1\4+3g<br /> | <td>-1\4+3g<br /> | ||
| Line 3,760: | Line 4,158: | ||
</td> | </td> | ||
<td>16\29 &lt; g &lt; 21\38<br /> | <td>16\29 &lt; g &lt; 21\38<br /> | ||
</td> | |||
<td>21\38 &lt; g &lt; 26\47<br /> | |||
</td> | </td> | ||
<td>-6+11g<br /> | <td>-6+11g<br /> | ||
| Line 3,776: | Line 4,176: | ||
</td> | </td> | ||
<td>2\30 &lt; g &lt; 3\40<br /> | <td>2\30 &lt; g &lt; 3\40<br /> | ||
</td> | |||
<td>3\40 &lt; g &lt; 4\50<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,792: | Line 4,194: | ||
</td> | </td> | ||
<td>14\31 &lt; g &lt; 19\42<br /> | <td>14\31 &lt; g &lt; 19\42<br /> | ||
</td> | |||
<td>19\42 &lt; g &lt; 24\53<br /> | |||
</td> | </td> | ||
<td>-4+9g<br /> | <td>-4+9g<br /> | ||
| Line 3,808: | Line 4,212: | ||
</td> | </td> | ||
<td>5\32 &lt; g &lt; 7\44<br /> | <td>5\32 &lt; g &lt; 7\44<br /> | ||
</td> | |||
<td>7\44 &lt; g &lt; 9\56<br /> | |||
</td> | </td> | ||
<td>-1\4+2g<br /> | <td>-1\4+2g<br /> | ||
| Line 3,824: | Line 4,230: | ||
</td> | </td> | ||
<td>5\33 &lt; g &lt; 7\46<br /> | <td>5\33 &lt; g &lt; 7\46<br /> | ||
</td> | |||
<td>7\46 &lt; g &lt; 9\59<br /> | |||
</td> | </td> | ||
<td>-1+7g<br /> | <td>-1+7g<br /> | ||
| Line 3,840: | Line 4,248: | ||
</td> | </td> | ||
<td>12\34 &lt; g &lt; 17\48<br /> | <td>12\34 &lt; g &lt; 17\48<br /> | ||
</td> | |||
<td>17\48 &lt; g &lt; 22\62<br /> | |||
</td> | </td> | ||
<td>-1+3g<br /> | <td>-1+3g<br /> | ||
| Line 3,856: | Line 4,266: | ||
</td> | </td> | ||
<td>2\35 &lt; g &lt; 3\50<br /> | <td>2\35 &lt; g &lt; 3\50<br /> | ||
</td> | |||
<td>3\50 &lt; g &lt; 4\65<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,872: | Line 4,284: | ||
</td> | </td> | ||
<td>2\36 &lt; g &lt; 3\52<br /> | <td>2\36 &lt; g &lt; 3\52<br /> | ||
</td> | |||
<td>3\52 &lt; g &lt; 4\68<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,888: | Line 4,302: | ||
</td> | </td> | ||
<td>13\37 &lt; g &lt; 19\54<br /> | <td>13\37 &lt; g &lt; 19\54<br /> | ||
</td> | |||
<td>19\54 &lt; g &lt; 25\71<br /> | |||
</td> | </td> | ||
<td>-1+3g<br /> | <td>-1+3g<br /> | ||
| Line 3,904: | Line 4,320: | ||
</td> | </td> | ||
<td>2\38 &lt; g &lt; 3\56<br /> | <td>2\38 &lt; g &lt; 3\56<br /> | ||
</td> | |||
<td>3\56 &lt; g &lt; 4\74<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,920: | Line 4,338: | ||
</td> | </td> | ||
<td>2\39 &lt; g &lt; 3\58<br /> | <td>2\39 &lt; g &lt; 3\58<br /> | ||
</td> | |||
<td>3\58 &lt; g &lt; 4\77<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 3,934: | Line 4,354: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th><span style="background-color: #ffffff;">Midpoint</span><br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 3,959: | Line 4,381: | ||
</td> | </td> | ||
<td>21\22 &lt; g &lt; 22\23<br /> | <td>21\22 &lt; g &lt; 22\23<br /> | ||
</td> | |||
<td>22\23 &lt; g &lt; 23\24<br /> | |||
</td> | </td> | ||
<td>-19+20g<br /> | <td>-19+20g<br /> | ||
| Line 3,975: | Line 4,399: | ||
</td> | </td> | ||
<td>11\23 &lt; g &lt; 12\25<br /> | <td>11\23 &lt; g &lt; 12\25<br /> | ||
</td> | |||
<td>12\25 &lt; g &lt; 13\27<br /> | |||
</td> | </td> | ||
<td>-9+19g<br /> | <td>-9+19g<br /> | ||
| Line 3,991: | Line 4,417: | ||
</td> | </td> | ||
<td>7\24 &lt; g &lt; 8\27<br /> | <td>7\24 &lt; g &lt; 8\27<br /> | ||
</td> | |||
<td>8\27 &lt; g &lt; 9\30<br /> | |||
</td> | </td> | ||
<td>-5\3+6g<br /> | <td>-5\3+6g<br /> | ||
| Line 4,007: | Line 4,435: | ||
</td> | </td> | ||
<td>6\25 &lt; g &lt; 7\29<br /> | <td>6\25 &lt; g &lt; 7\29<br /> | ||
</td> | |||
<td>7\29 &lt; g &lt; 8\33<br /> | |||
</td> | </td> | ||
<td>-4+17g<br /> | <td>-4+17g<br /> | ||
| Line 4,023: | Line 4,453: | ||
</td> | </td> | ||
<td>5\26 &lt; g &lt; 6\31<br /> | <td>5\26 &lt; g &lt; 6\31<br /> | ||
</td> | |||
<td>6\31 &lt; g &lt; 7\37<br /> | |||
</td> | </td> | ||
<td>-3+16g<br /> | <td>-3+16g<br /> | ||
| Line 4,039: | Line 4,471: | ||
</td> | </td> | ||
<td>4\27 &lt; g &lt; 5\33<br /> | <td>4\27 &lt; g &lt; 5\33<br /> | ||
</td> | |||
<td>5\33 &lt; g &lt; 6\39<br /> | |||
</td> | </td> | ||
<td>-2\3+5g<br /> | <td>-2\3+5g<br /> | ||
| Line 4,055: | Line 4,489: | ||
</td> | </td> | ||
<td>3\28 &lt; g &lt; 4\35<br /> | <td>3\28 &lt; g &lt; 4\35<br /> | ||
</td> | |||
<td>4\35 &lt; g &lt; 5\42<br /> | |||
</td> | </td> | ||
<td>-1\7+2g<br /> | <td>-1\7+2g<br /> | ||
| Line 4,071: | Line 4,507: | ||
</td> | </td> | ||
<td>18\29 &lt; g &lt; 23\37<br /> | <td>18\29 &lt; g &lt; 23\37<br /> | ||
</td> | |||
<td>23\37 &lt; g &lt; 28\45<br /> | |||
</td> | </td> | ||
<td>-8+13g<br /> | <td>-8+13g<br /> | ||
| Line 4,087: | Line 4,525: | ||
</td> | </td> | ||
<td>3\30 &lt; g &lt; 4\39<br /> | <td>3\30 &lt; g &lt; 4\39<br /> | ||
</td> | |||
<td>4\39 &lt; g &lt; 5\48<br /> | |||
</td> | </td> | ||
<td>-1\3+4g<br /> | <td>-1\3+4g<br /> | ||
| Line 4,103: | Line 4,543: | ||
</td> | </td> | ||
<td>3\31 &lt; g &lt; 4\41<br /> | <td>3\31 &lt; g &lt; 4\41<br /> | ||
</td> | |||
<td>4\41 &lt; g &lt; 5\51<br /> | |||
</td> | </td> | ||
<td>-1+11g<br /> | <td>-1+11g<br /> | ||
| Line 4,119: | Line 4,561: | ||
</td> | </td> | ||
<td>29\32 &lt; g &lt; 39\43<br /> | <td>29\32 &lt; g &lt; 39\43<br /> | ||
</td> | |||
<td>39\43 &lt; g &lt; 49\54<br /> | |||
</td> | </td> | ||
<td>-9+10g<br /> | <td>-9+10g<br /> | ||
| Line 4,128: | Line 4,572: | ||
<td>12L9s<br /> | <td>12L9s<br /> | ||
</td> | </td> | ||
<td>5\21 &lt; g &lt; 3\12 | <td>5\21 &lt; g &lt; 3\12<br /> | ||
</td> | </td> | ||
<td>g = 41\168<br /> | <td>g = 41\168<br /> | ||
</td> | </td> | ||
<td>5\21 &lt; g &lt; | <td>5\21 &lt; g &lt; 8\33<br /> | ||
</td> | </td> | ||
<td> | <td>8\33 &lt; g &lt; 11\45<br /> | ||
</td> | |||
<td>11\45 &lt; g &lt; 14\57<br /> | |||
</td> | </td> | ||
<td>-2\3+3g<br /> | <td>-2\3+3g<br /> | ||
| Line 4,151: | Line 4,597: | ||
</td> | </td> | ||
<td>13\34 &lt; g &lt; 18\47<br /> | <td>13\34 &lt; g &lt; 18\47<br /> | ||
</td> | |||
<td>18\47 &lt; g &lt; 23\70<br /> | |||
</td> | </td> | ||
<td>-3+8g<br /> | <td>-3+8g<br /> | ||
| Line 4,167: | Line 4,615: | ||
</td> | </td> | ||
<td>2\35 &lt; g &lt; 3\49<br /> | <td>2\35 &lt; g &lt; 3\49<br /> | ||
</td> | |||
<td>3\49 &lt; g &lt; 4\63<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 4,176: | Line 4,626: | ||
<td>15L6s<br /> | <td>15L6s<br /> | ||
</td> | </td> | ||
<td>4\21 &lt; g &lt; 3\15 | <td>4\21 &lt; g &lt; 3\15<br /> | ||
</td> | </td> | ||
<td>g = 41\210<br /> | <td>g = 41\210<br /> | ||
| Line 4,183: | Line 4,633: | ||
</td> | </td> | ||
<td>7\36 &lt; g &lt; 10\51<br /> | <td>7\36 &lt; g &lt; 10\51<br /> | ||
</td> | |||
<td>10\51 &lt; g &lt; 13\66<br /> | |||
</td> | </td> | ||
<td>-1\3+2g<br /> | <td>-1\3+2g<br /> | ||
| Line 4,199: | Line 4,651: | ||
</td> | </td> | ||
<td>30\37 &lt; g &lt; 43\53<br /> | <td>30\37 &lt; g &lt; 43\53<br /> | ||
</td> | |||
<td>43\53 &lt; g &lt; 56\69<br /> | |||
</td> | </td> | ||
<td>-4+5g<br /> | <td>-4+5g<br /> | ||
| Line 4,215: | Line 4,669: | ||
</td> | </td> | ||
<td>29\38 &lt; g &lt; 42\55<br /> | <td>29\38 &lt; g &lt; 42\55<br /> | ||
</td> | |||
<td>42\55 &lt; g &lt; 55\72<br /> | |||
</td> | </td> | ||
<td>-3+4g<br /> | <td>-3+4g<br /> | ||
| Line 4,230: | Line 4,686: | ||
<td>1\21 &lt; g &lt; 2\39<br /> | <td>1\21 &lt; g &lt; 2\39<br /> | ||
</td> | </td> | ||
<td>2\39 &lt; g &lt; 3\57 | <td>2\39 &lt; g &lt; 3\57<br /> | ||
</td> | |||
<td>3\57 &lt; g &lt; 4\75<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 4,247: | Line 4,705: | ||
</td> | </td> | ||
<td>21\40 &lt; g &lt; 31\59<br /> | <td>21\40 &lt; g &lt; 31\59<br /> | ||
</td> | |||
<td>31\59 &lt; g &lt; 41\78<br /> | |||
</td> | </td> | ||
<td>-1+2g<br /> | <td>-1+2g<br /> | ||
| Line 4,263: | Line 4,723: | ||
</td> | </td> | ||
<td>2\41 &lt; g &lt; 3\61<br /> | <td>2\41 &lt; g &lt; 3\61<br /> | ||
</td> | |||
<td>3\61 &lt; g &lt; 4/81<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 4,277: | Line 4,739: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th><span style="background-color: #ffffff;">Midpoint</span><br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 4,302: | Line 4,766: | ||
</td> | </td> | ||
<td>22\23 &lt; g &lt; 23\24<br /> | <td>22\23 &lt; g &lt; 23\24<br /> | ||
</td> | |||
<td>23\24 &lt; g &lt; 24/25<br /> | |||
</td> | </td> | ||
<td>-20+21g<br /> | <td>-20+21g<br /> | ||
| Line 4,317: | Line 4,783: | ||
<td>10\22 &lt; g &lt; 11\24<br /> | <td>10\22 &lt; g &lt; 11\24<br /> | ||
</td> | </td> | ||
<td>11\24 &lt; g &lt; 12\26 | <td>11\24 &lt; g &lt; 12\26<br /> | ||
</td> | |||
<td>12\26 &lt; g &lt; 13\28<br /> | |||
</td> | </td> | ||
<td>-9\2+10g<br /> | <td>-9\2+10g<br /> | ||
| Line 4,334: | Line 4,802: | ||
</td> | </td> | ||
<td>8\25 &lt; g &lt; 9\28<br /> | <td>8\25 &lt; g &lt; 9\28<br /> | ||
</td> | |||
<td>9\28 &lt; g &lt; 10\31<br /> | |||
</td> | </td> | ||
<td>-6+19g<br /> | <td>-6+19g<br /> | ||
| Line 4,350: | Line 4,820: | ||
</td> | </td> | ||
<td>6\26 &lt; g &lt; 7\30<br /> | <td>6\26 &lt; g &lt; 7\30<br /> | ||
</td> | |||
<td>7\30 &lt; g &lt; 8\34<br /> | |||
</td> | </td> | ||
<td>-2+9g<br /> | <td>-2+9g<br /> | ||
| Line 4,366: | Line 4,838: | ||
</td> | </td> | ||
<td>16\27 &lt; g &lt; 19\32<br /> | <td>16\27 &lt; g &lt; 19\32<br /> | ||
</td> | |||
<td>19\32 &lt; g &lt; 22\37<br /> | |||
</td> | </td> | ||
<td>-10+17g<br /> | <td>-10+17g<br /> | ||
| Line 4,382: | Line 4,856: | ||
</td> | </td> | ||
<td>9\28 &lt; g &lt; 11\34<br /> | <td>9\28 &lt; g &lt; 11\34<br /> | ||
</td> | |||
<td>11\34 &lt; g &lt; 13\40<br /> | |||
</td> | </td> | ||
<td>-5\2+8g<br /> | <td>-5\2+8g<br /> | ||
| Line 4,398: | Line 4,874: | ||
</td> | </td> | ||
<td>4\29 &lt; g &lt; 5\36<br /> | <td>4\29 &lt; g &lt; 5\36<br /> | ||
</td> | |||
<td>5\36 &lt; g &lt; 6\43<br /> | |||
</td> | </td> | ||
<td>-2+15g<br /> | <td>-2+15g<br /> | ||
| Line 4,413: | Line 4,891: | ||
<td>8\22 &lt; g &lt; 11\30<br /> | <td>8\22 &lt; g &lt; 11\30<br /> | ||
</td> | </td> | ||
<td>11\30 &lt; g &lt; 14\38 | <td>11\30 &lt; g &lt; 14\38<br /> | ||
</td> | |||
<td>14\38 &lt; g &lt; 17\46<br /> | |||
</td> | </td> | ||
<td>-5\2+7g<br /> | <td>-5\2+7g<br /> | ||
| Line 4,430: | Line 4,910: | ||
</td> | </td> | ||
<td>24\31 &lt; g &lt; 31\40<br /> | <td>24\31 &lt; g &lt; 31\40<br /> | ||
</td> | |||
<td>31\40 &lt; g &lt; 38\49<br /> | |||
</td> | </td> | ||
<td>-10+13g<br /> | <td>-10+13g<br /> | ||
| Line 4,445: | Line 4,927: | ||
<td>2\22 &lt; g &lt; 3\32<br /> | <td>2\22 &lt; g &lt; 3\32<br /> | ||
</td> | </td> | ||
<td>3\32 &lt; g &lt; 4\42 | <td>3\32 &lt; g &lt; 4\42<br /> | ||
</td> | |||
<td>4\42 &lt; g &lt; 5\52<br /> | |||
</td> | </td> | ||
<td>-1\2+6g<br /> | <td>-1\2+6g<br /> | ||
| Line 4,462: | Line 4,946: | ||
</td> | </td> | ||
<td>2\33 &lt; g &lt; 3\44<br /> | <td>2\33 &lt; g &lt; 3\44<br /> | ||
</td> | |||
<td>3\44 &lt; g &lt; 4\55<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 4,478: | Line 4,964: | ||
</td> | </td> | ||
<td>14\34 &lt; g &lt; 19\46<br /> | <td>14\34 &lt; g &lt; 19\46<br /> | ||
</td> | |||
<td>19\46 &lt; g &lt; 24\58<br /> | |||
</td> | </td> | ||
<td>-2+5g<br /> | <td>-2+5g<br /> | ||
| Line 4,494: | Line 4,982: | ||
</td> | </td> | ||
<td>8\35 &lt; g &lt; 11\48<br /> | <td>8\35 &lt; g &lt; 11\48<br /> | ||
</td> | |||
<td>11\48 &lt; g &lt; 14\61<br /> | |||
</td> | </td> | ||
<td>-2+9g<br /> | <td>-2+9g<br /> | ||
| Line 4,510: | Line 5,000: | ||
</td> | </td> | ||
<td>5\36 &lt; g &lt; 7\50<br /> | <td>5\36 &lt; g &lt; 7\50<br /> | ||
</td> | |||
<td>7\50 &lt; g &lt; 9\64<br /> | |||
</td> | </td> | ||
<td>4g-1\2<br /> | <td>4g-1\2<br /> | ||
| Line 4,526: | Line 5,018: | ||
</td> | </td> | ||
<td>32\37 &lt; g &lt; 45\52<br /> | <td>32\37 &lt; g &lt; 45\52<br /> | ||
</td> | |||
<td>45\52 &lt; g &lt; 58\67<br /> | |||
</td> | </td> | ||
<td>-6+7g<br /> | <td>-6+7g<br /> | ||
| Line 4,541: | Line 5,035: | ||
<td>4\22 &lt; g &lt; 7\38<br /> | <td>4\22 &lt; g &lt; 7\38<br /> | ||
</td> | </td> | ||
<td>7\38 &lt; g &lt; 10\54 | <td>7\38 &lt; g &lt; 10\54<br /> | ||
</td> | |||
<td>10\54 &lt; g &lt; 13\70<br /> | |||
</td> | </td> | ||
<td>3g-1\2<br /> | <td>3g-1\2<br /> | ||
| Line 4,558: | Line 5,054: | ||
</td> | </td> | ||
<td>16\39 &lt; g &lt; 23\56<br /> | <td>16\39 &lt; g &lt; 23\56<br /> | ||
</td> | |||
<td>23\56 &lt; g &lt; 30\73<br /> | |||
</td> | </td> | ||
<td>-2+5g<br /> | <td>-2+5g<br /> | ||
| Line 4,573: | Line 5,071: | ||
<td>6\22 &lt; g &lt; 11\40<br /> | <td>6\22 &lt; g &lt; 11\40<br /> | ||
</td> | </td> | ||
<td>11\40 &lt; g &lt; 16\58 | <td>11\40 &lt; g &lt; 16\58<br /> | ||
</td> | |||
<td>16\58 &lt; g &lt; 21\76<br /> | |||
</td> | </td> | ||
<td>-1\2+2g<br /> | <td>-1\2+2g<br /> | ||
| Line 4,590: | Line 5,090: | ||
</td> | </td> | ||
<td>28\41 &lt; g &lt; 41\60<br /> | <td>28\41 &lt; g &lt; 41\60<br /> | ||
</td> | |||
<td>41\60 &lt; g &lt; 54\79<br /> | |||
</td> | </td> | ||
<td>-2+3g<br /> | <td>-2+3g<br /> | ||
| Line 4,603: | Line 5,105: | ||
<td>g = 21\440<br /> | <td>g = 21\440<br /> | ||
</td> | </td> | ||
<td>1\22 &lt; g &lt; 2\42 | <td>1\22 &lt; g &lt; 2\42<br /> | ||
</td> | </td> | ||
<td>2\42 | <td>2\42 &lt; g &lt; 3\62<br /> | ||
</td> | |||
<td>3\62 &lt; g &lt; 4\72<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 4,622: | Line 5,126: | ||
</td> | </td> | ||
<td>2\43 &lt; g &lt; 3\64<br /> | <td>2\43 &lt; g &lt; 3\64<br /> | ||
</td> | |||
<td>3\64 &lt; g &lt; 4\85<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 4,636: | Line 5,142: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th><span style="background-color: #ffffff;">Midpoint</span><br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 4,661: | Line 5,169: | ||
</td> | </td> | ||
<td><span style="line-height: 15.6000003814697px;">23\24 </span>&lt; g &lt; 24\25<br /> | <td><span style="line-height: 15.6000003814697px;">23\24 </span>&lt; g &lt; 24\25<br /> | ||
</td> | |||
<td>24\25 &lt; g &lt; 25\26<br /> | |||
</td> | </td> | ||
<td>-21+22g<br /> | <td>-21+22g<br /> | ||
| Line 4,677: | Line 5,187: | ||
</td> | </td> | ||
<td>12\25 &lt; g &lt; 13\27<br /> | <td>12\25 &lt; g &lt; 13\27<br /> | ||
</td> | |||
<td>13\27 &lt; g &lt; 14\29<br /> | |||
</td> | </td> | ||
<td>-10+21g<br /> | <td>-10+21g<br /> | ||
| Line 4,693: | Line 5,205: | ||
</td> | </td> | ||
<td><span style="line-height: 15.6000003814697px;">17\26 </span>&lt; g &lt; 19\29<br /> | <td><span style="line-height: 15.6000003814697px;">17\26 </span>&lt; g &lt; 19\29<br /> | ||
</td> | |||
<td>19\29 &lt; g &lt; 21\32<br /> | |||
</td> | </td> | ||
<td>-13+20g<br /> | <td>-13+20g<br /> | ||
| Line 4,709: | Line 5,223: | ||
</td> | </td> | ||
<td>20\27 &lt; g &lt; 23\31<br /> | <td>20\27 &lt; g &lt; 23\31<br /> | ||
</td> | |||
<td>23\31 &lt; g &lt; 26\35<br /> | |||
</td> | </td> | ||
<td>-14+19g<br /> | <td>-14+19g<br /> | ||
| Line 4,725: | Line 5,241: | ||
</td> | </td> | ||
<td>11\28 &lt; g &lt; 13\33<br /> | <td>11\28 &lt; g &lt; 13\33<br /> | ||
</td> | |||
<td>13\33 &lt; g &lt; 15\38<br /> | |||
</td> | </td> | ||
<td>-7+18g<br /> | <td>-7+18g<br /> | ||
| Line 4,741: | Line 5,259: | ||
</td> | </td> | ||
<td>24\29 &lt; g &lt; 29\35<br /> | <td>24\29 &lt; g &lt; 29\35<br /> | ||
</td> | |||
<td>29\35 &lt; g &lt; 34\41<br /> | |||
</td> | </td> | ||
<td>-15+17g<br /> | <td>-15+17g<br /> | ||
| Line 4,757: | Line 5,277: | ||
</td> | </td> | ||
<td><span style="line-height: 15.6000003814697px;">17\30 &lt; g &lt; 21\37</span><br /> | <td><span style="line-height: 15.6000003814697px;">17\30 &lt; g &lt; 21\37</span><br /> | ||
</td> | |||
<td>21\37 &lt; g &lt; 25\44<br /> | |||
</td> | </td> | ||
<td>-9+16g<br /> | <td>-9+16g<br /> | ||
| Line 4,773: | Line 5,295: | ||
</td> | </td> | ||
<td>27\31 &lt; g &lt; 34\39<br /> | <td>27\31 &lt; g &lt; 34\39<br /> | ||
</td> | |||
<td>34\39 &lt; g &lt; 41\47<br /> | |||
</td> | </td> | ||
<td>-13+15g<br /> | <td>-13+15g<br /> | ||
| Line 4,789: | Line 5,313: | ||
</td> | </td> | ||
<td>7\32 &lt; g &lt; 9\41<br /> | <td>7\32 &lt; g &lt; 9\41<br /> | ||
</td> | |||
<td>9\41 &lt; g &lt; 11\50<br /> | |||
</td> | </td> | ||
<td>9g-7<br /> | <td>9g-7<br /> | ||
| Line 4,805: | Line 5,331: | ||
</td> | </td> | ||
<td>23\33 &lt; g &lt; 30\43<br /> | <td>23\33 &lt; g &lt; 30\43<br /> | ||
</td> | |||
<td>30\43 &lt; g &lt; 37\53<br /> | |||
</td> | </td> | ||
<td>-9+13g<br /> | <td>-9+13g<br /> | ||
| Line 4,821: | Line 5,349: | ||
</td> | </td> | ||
<td>3\34 &lt; g &lt; 4\45<br /> | <td>3\34 &lt; g &lt; 4\45<br /> | ||
</td> | |||
<td>4\45 &lt; g &lt; 5\56<br /> | |||
</td> | </td> | ||
<td>-11g+1<br /> | <td>-11g+1<br /> | ||
| Line 4,837: | Line 5,367: | ||
</td> | </td> | ||
<td>32\35 &lt; g &lt; 43\47<br /> | <td>32\35 &lt; g &lt; 43\47<br /> | ||
</td> | |||
<td>43\47 &lt; g &lt; 54\59<br /> | |||
</td> | </td> | ||
<td><span style="line-height: 15.6000003814697px;">11g-10</span><br /> | <td><span style="line-height: 15.6000003814697px;">11g-10</span><br /> | ||
| Line 4,853: | Line 5,385: | ||
</td> | </td> | ||
<td>11\36 &lt; g &lt; 15\49<br /> | <td>11\36 &lt; g &lt; 15\49<br /> | ||
</td> | |||
<td>15\49 &lt; g &lt; 19\62<br /> | |||
</td> | </td> | ||
<td>4-13g<br /> | <td>4-13g<br /> | ||
| Line 4,869: | Line 5,403: | ||
</td> | </td> | ||
<td>29\37 &lt; g &lt; 40\51<br /> | <td>29\37 &lt; g &lt; 40\51<br /> | ||
</td> | |||
<td>40\51 &lt; g &lt; 51\65<br /> | |||
</td> | </td> | ||
<td>14g-3<br /> | <td>14g-3<br /> | ||
| Line 4,885: | Line 5,421: | ||
</td> | </td> | ||
<td>5\38 &lt; g &lt; 7\53<br /> | <td>5\38 &lt; g &lt; 7\53<br /> | ||
</td> | |||
<td>7\53 &lt; g &lt; 9\68<br /> | |||
</td> | </td> | ||
<td>2-15g<br /> | <td>2-15g<br /> | ||
| Line 4,901: | Line 5,439: | ||
</td> | </td> | ||
<td>17\39 &lt; g &lt; 24\55<br /> | <td>17\39 &lt; g &lt; 24\55<br /> | ||
</td> | |||
<td>24\55 &lt; g &lt; 31\71<br /> | |||
</td> | </td> | ||
<td>7g-3<br /> | <td>7g-3<br /> | ||
| Line 4,917: | Line 5,457: | ||
</td> | </td> | ||
<td>7\40 &lt; g &lt; 10\57<br /> | <td>7\40 &lt; g &lt; 10\57<br /> | ||
</td> | |||
<td>10\57 &lt; g &lt; 13\74<br /> | |||
</td> | </td> | ||
<td>-1+6g<br /> | <td>-1+6g<br /> | ||
| Line 4,933: | Line 5,475: | ||
</td> | </td> | ||
<td>25\41 &lt; g &lt; 36\59<br /> | <td>25\41 &lt; g &lt; 36\59<br /> | ||
</td> | |||
<td>36\59 &lt; g &lt; 47\77<br /> | |||
</td> | </td> | ||
<td>11-18g<br /> | <td>11-18g<br /> | ||
| Line 4,949: | Line 5,493: | ||
</td> | </td> | ||
<td>11\42 &lt; g &lt; 16\61<br /> | <td>11\42 &lt; g &lt; 16\61<br /> | ||
</td> | |||
<td>16\61 &lt; g &lt; 21\80<br /> | |||
</td> | </td> | ||
<td>-1+4g<br /> | <td>-1+4g<br /> | ||
| Line 4,965: | Line 5,511: | ||
</td> | </td> | ||
<td>15\43 &lt; g &lt; 22\63<br /> | <td>15\43 &lt; g &lt; 22\63<br /> | ||
</td> | |||
<td>22\63 &lt; g &lt; 29\83<br /> | |||
</td> | </td> | ||
<td>-1+3g<br /> | <td>-1+3g<br /> | ||
| Line 4,981: | Line 5,529: | ||
</td> | </td> | ||
<td>23\44 &lt; g &lt; 34\65<br /> | <td>23\44 &lt; g &lt; 34\65<br /> | ||
</td> | |||
<td>34\65 &lt; g &lt; 45\86<br /> | |||
</td> | </td> | ||
<td>-1+2g<br /> | <td>-1+2g<br /> | ||
| Line 4,997: | Line 5,547: | ||
</td> | </td> | ||
<td>2\45 &lt; g &lt; 3\67<br /> | <td>2\45 &lt; g &lt; 3\67<br /> | ||
</td> | |||
<td>3\67 &lt; g &lt; 4\89<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 5,011: | Line 5,563: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</th> | |||
<th>Generator range<br /> | |||
</th> | |||
<th><span style="background-color: #ffffff;">Midpoint</span><br /> | |||
</th> | |||
<th>Range of propriety<br /> | |||
</th> | |||
<th>Range of maximum expressiveness<br /> | |||
</th> | |||
<th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | |||
</th> | |||
<th>Large step<br /> | |||
</th> | |||
<th>Small step<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td>1L23s<br /> | |||
</td> | </td> | ||
<td>23\24 &lt; g &lt; 1<br /> | |||
<td>23\24 &lt; g &lt; 1<br /> | |||
</td> | </td> | ||
<td>g = 47\48<br /> | <td>g = 47\48<br /> | ||
| Line 5,036: | Line 5,590: | ||
</td> | </td> | ||
<td>24\25 &lt; g &lt; 25\26<br /> | <td>24\25 &lt; g &lt; 25\26<br /> | ||
</td> | |||
<td>25\26 &lt; g &lt; 26\27<br /> | |||
</td> | </td> | ||
<td>-22+23g<br /> | <td>-22+23g<br /> | ||
| Line 5,051: | Line 5,607: | ||
<td>11\24 &lt; g &lt; 12\26<br /> | <td>11\24 &lt; g &lt; 12\26<br /> | ||
</td> | </td> | ||
<td>12\26 &lt; g &lt; | <td>12\26 &lt; g &lt; 13\28<br /> | ||
</td> | |||
<td>13\28 &lt; g &lt; 14\30<br /> | |||
</td> | </td> | ||
<td>-g+1/2<br /> | <td>-g+1/2<br /> | ||
| Line 5,067: | Line 5,625: | ||
<td>7\24 &lt; g &lt; 8\27<br /> | <td>7\24 &lt; g &lt; 8\27<br /> | ||
</td> | </td> | ||
<td>8\27 &lt; g &lt; 9\30 | <td>8\27 &lt; g &lt; 9\30<br /> | ||
</td> | |||
<td>9\30 &lt; g &lt; 10\33<br /> | |||
</td> | </td> | ||
<td>2/3-2g<br /> | <td>2/3-2g<br /> | ||
| Line 5,084: | Line 5,644: | ||
</td> | </td> | ||
<td>6\28 &lt; g &lt; 7\32<br /> | <td>6\28 &lt; g &lt; 7\32<br /> | ||
</td> | |||
<td>7\32 &lt; g &lt; 8\36<br /> | |||
</td> | </td> | ||
<td>-1+5g<br /> | <td>-1+5g<br /> | ||
| Line 5,100: | Line 5,662: | ||
</td> | </td> | ||
<td>23\29 &lt; g &lt; 27\34<br /> | <td>23\29 &lt; g &lt; 27\34<br /> | ||
</td> | |||
<td>27\34 &lt; g &lt; 31\39<br /> | |||
</td> | </td> | ||
<td>-15+19g<br /> | <td>-15+19g<br /> | ||
| Line 5,116: | Line 5,680: | ||
</td> | </td> | ||
<td>4\30 &lt; g &lt; 5\36<br /> | <td>4\30 &lt; g &lt; 5\36<br /> | ||
</td> | |||
<td>5\36 &lt; g &lt; 6\42<br /> | |||
</td> | </td> | ||
<td>-1\3+3g<br /> | <td>-1\3+3g<br /> | ||
| Line 5,132: | Line 5,698: | ||
</td> | </td> | ||
<td>22\31 &lt; g &lt; 27\38<br /> | <td>22\31 &lt; g &lt; 27\38<br /> | ||
</td> | |||
<td>27\38 &lt; g &lt; 32\455<br /> | |||
</td> | </td> | ||
<td>5-17g<br /> | <td>5-17g<br /> | ||
| Line 5,147: | Line 5,715: | ||
<td>2\24 &lt; g &lt; 3\32<br /> | <td>2\24 &lt; g &lt; 3\32<br /> | ||
</td> | </td> | ||
<td>3\32 &lt; g &lt; 4\40 | <td>3\32 &lt; g &lt; 4\40<br /> | ||
</td> | |||
<td>4\40 &lt; g &lt; 5\48<br /> | |||
</td> | </td> | ||
<td>-1\8+2g<br /> | <td>-1\8+2g<br /> | ||
| Line 5,163: | Line 5,733: | ||
<td>5\24 &lt; g &lt; 7\33<br /> | <td>5\24 &lt; g &lt; 7\33<br /> | ||
</td> | </td> | ||
<td>7\33 &lt; g &lt; 9\42 | <td>7\33 &lt; g &lt; 9\42<br /> | ||
</td> | |||
<td>9\42 &lt; g &lt; 11\51<br /> | |||
</td> | </td> | ||
<td>5g-1<br /> | <td>5g-1<br /> | ||
| Line 5,180: | Line 5,752: | ||
</td> | </td> | ||
<td>10\34 &lt; g &lt; 13\44<br /> | <td>10\34 &lt; g &lt; 13\44<br /> | ||
</td> | |||
<td>13\44 &lt; g &lt; 16\54<br /> | |||
</td> | </td> | ||
<td>-4+7g<br /> | <td>-4+7g<br /> | ||
| Line 5,196: | Line 5,770: | ||
</td> | </td> | ||
<td>19\35 &lt; g &lt; 25\46<br /> | <td>19\35 &lt; g &lt; 25\46<br /> | ||
</td> | |||
<td>25|46 &lt; g &lt; 31\57<br /> | |||
</td> | </td> | ||
<td>13g-7<br /> | <td>13g-7<br /> | ||
| Line 5,209: | Line 5,785: | ||
<td>g = 3\48<br /> | <td>g = 3\48<br /> | ||
</td> | </td> | ||
<td>1\24 &lt; g &lt; 2\36 | <td>1\24 &lt; g &lt; 2\36<br /> | ||
</td> | </td> | ||
<td>2\36 | <td>2\36 &lt; g &lt; 3\48<br /> | ||
</td> | |||
<td>3\48 &lt; g &lt; 4\60<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 5,228: | Line 5,806: | ||
</td> | </td> | ||
<td>17\37 &lt; g &lt; 23\50<br /> | <td>17\37 &lt; g &lt; 23\50<br /> | ||
</td> | |||
<td>23\50 &lt; g &lt; 29\63<br /> | |||
</td> | </td> | ||
<td>11g-5<br /> | <td>11g-5<br /> | ||
| Line 5,244: | Line 5,824: | ||
</td> | </td> | ||
<td>27\38 &lt; g &lt; 37\52<br /> | <td>27\38 &lt; g &lt; 37\52<br /> | ||
</td> | |||
<td>37\52 &lt; g &lt; 47\66<br /> | |||
</td> | </td> | ||
<td>3\2-5g<br /> | <td>3\2-5g<br /> | ||
| Line 5,260: | Line 5,842: | ||
</td> | </td> | ||
<td>5\39 &lt; g &lt; 7\54<br /> | <td>5\39 &lt; g &lt; 7\54<br /> | ||
</td> | |||
<td>7\54 &lt; g &lt; 9\69<br /> | |||
</td> | </td> | ||
<td>3g-1\3<br /> | <td>3g-1\3<br /> | ||
| Line 5,273: | Line 5,857: | ||
<td>g = 5\96<br /> | <td>g = 5\96<br /> | ||
</td> | </td> | ||
<td>1\24 &lt; g &lt; 2\40 | <td>1\24 &lt; g &lt; 2\40<br /> | ||
</td> | </td> | ||
<td>2\40 | <td>2\40 &lt; g &lt; 3\56<br /> | ||
</td> | |||
<td>3\56 &lt; g &lt; 4\72<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 5,292: | Line 5,878: | ||
</td> | </td> | ||
<td>12\41 &lt; g &lt; 17\58<br /> | <td>12\41 &lt; g &lt; 17\58<br /> | ||
</td> | |||
<td>17\58 &lt; g &lt; 22\75<br /> | |||
</td> | </td> | ||
<td>-7g+4<br /> | <td>-7g+4<br /> | ||
| Line 5,305: | Line 5,893: | ||
<td>g = 7\144<br /> | <td>g = 7\144<br /> | ||
</td> | </td> | ||
<td>1\24 &lt; g &lt; 2\42 | <td>1\24 &lt; g &lt; 2\42<br /> | ||
</td> | </td> | ||
<td>2\42 | <td>2\42 &lt; g &lt; 3\60<br /> | ||
</td> | |||
<td>3\60 &lt; g &lt; 4\78<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 5,324: | Line 5,914: | ||
</td> | </td> | ||
<td>9\43 &lt; g &lt; 13\62<br /> | <td>9\43 &lt; g &lt; 13\62<br /> | ||
</td> | |||
<td>13\62 &lt; g &lt; 17\81<br /> | |||
</td> | </td> | ||
<td>-5g+4<br /> | <td>-5g+4<br /> | ||
| Line 5,337: | Line 5,929: | ||
<td>g = 11\240<br /> | <td>g = 11\240<br /> | ||
</td> | </td> | ||
<td>1\24 &lt; g &lt; 2\44 | <td>1\24 &lt; g &lt; 2\44<br /> | ||
</td> | </td> | ||
<td>2\44 | <td>2\44 &lt; g &lt; 3\64<br /> | ||
</td> | |||
<td>3\64 &lt; g &lt; 4\84<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 5,355: | Line 5,949: | ||
<td>1\24 &lt; g &lt; 2\45<br /> | <td>1\24 &lt; g &lt; 2\45<br /> | ||
</td> | </td> | ||
<td>2\45 &lt; g &lt; 3\66 | <td>2\45 &lt; g &lt; 3\66<br /> | ||
</td> | |||
<td>3\66 &lt; g &lt; 4\87<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 5,369: | Line 5,965: | ||
<td>g = 23\264<br /> | <td>g = 23\264<br /> | ||
</td> | </td> | ||
<td>1\24 &lt; g &lt; 2\46 | <td>1\24 &lt; g &lt; 2\46<br /> | ||
</td> | |||
<td>2\46 &lt; g &lt; 3\68<br /> | |||
</td> | </td> | ||
<td> | <td>3\68 &lt; g &lt; 4\90<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 5,388: | Line 5,986: | ||
</td> | </td> | ||
<td>2\47 &lt; g &lt; 3\70<br /> | <td>2\47 &lt; g &lt; 3\70<br /> | ||
</td> | |||
<td>3\70 &lt; g &lt; 4\93<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 5,402: | Line 6,002: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th><span style="background-color: #ffffff;">Midpoint</span><br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 5,427: | Line 6,029: | ||
</td> | </td> | ||
<td>25\26 &lt; g &lt; 26\27<br /> | <td>25\26 &lt; g &lt; 26\27<br /> | ||
</td> | |||
<td>26\27 &lt; g &lt; 27\28<br /> | |||
</td> | </td> | ||
<td>-23+24g<br /> | <td>-23+24g<br /> | ||
| Line 5,443: | Line 6,047: | ||
</td> | </td> | ||
<td>13\27 &lt; g &lt; 14\29<br /> | <td>13\27 &lt; g &lt; 14\29<br /> | ||
</td> | |||
<td>14\29 &lt; g &lt; 15\31<br /> | |||
</td> | </td> | ||
<td>2g-11<br /> | <td>2g-11<br /> | ||
| Line 5,459: | Line 6,065: | ||
</td> | </td> | ||
<td>9\28 &lt; g &lt; 10\31<br /> | <td>9\28 &lt; g &lt; 10\31<br /> | ||
</td> | |||
<td>10\31 &lt; g &lt; 11\34<br /> | |||
</td> | </td> | ||
<td>-7+22g<br /> | <td>-7+22g<br /> | ||
| Line 5,475: | Line 6,083: | ||
</td> | </td> | ||
<td>7\29 &lt; g &lt; 8\33<br /> | <td>7\29 &lt; g &lt; 8\33<br /> | ||
</td> | |||
<td>8\33 &lt; g &lt; 9\37<br /> | |||
</td> | </td> | ||
<td>-5+21g<br /> | <td>-5+21g<br /> | ||
| Line 5,488: | Line 6,098: | ||
<td>g = 9\50<br /> | <td>g = 9\50<br /> | ||
</td> | </td> | ||
<td>4\25 &lt; g &lt; 5\30 | <td>4\25 &lt; g &lt; 5\30<br /> | ||
</td> | </td> | ||
<td>5\30 | <td>5\30 &lt; g &lt; 6\35<br /> | ||
</td> | |||
<td>6\35 &lt; g &lt; 7\40<br /> | |||
</td> | </td> | ||
<td>-3\5+4g<br /> | <td>-3\5+4g<br /> | ||
| Line 5,507: | Line 6,119: | ||
</td> | </td> | ||
<td>5\31 &lt; g &lt; 6\37<br /> | <td>5\31 &lt; g &lt; 6\37<br /> | ||
</td> | |||
<td>6\37 &lt; g &lt; 7\43<br /> | |||
</td> | </td> | ||
<td>-3+19g<br /> | <td>-3+19g<br /> | ||
| Line 5,523: | Line 6,137: | ||
</td> | </td> | ||
<td>9\32 &lt; g &lt; 11\39<br /> | <td>9\32 &lt; g &lt; 11\39<br /> | ||
</td> | |||
<td>11\39 &lt; g &lt; 13\46<br /> | |||
</td> | </td> | ||
<td>-5+18g<br /> | <td>-5+18g<br /> | ||
| Line 5,539: | Line 6,155: | ||
</td> | </td> | ||
<td>4\33 &lt; g &lt; 5\41<br /> | <td>4\33 &lt; g &lt; 5\41<br /> | ||
</td> | |||
<td>5\41 &lt; g &lt; 6\47<br /> | |||
</td> | </td> | ||
<td><span style="line-height: 15.6000003814697px;">17g-2</span><br /> | <td><span style="line-height: 15.6000003814697px;">17g-2</span><br /> | ||
| Line 5,555: | Line 6,173: | ||
</td> | </td> | ||
<td>15\34 &lt; g &lt; 19\43<br /> | <td>15\34 &lt; g &lt; 19\43<br /> | ||
</td> | |||
<td>19\43 &lt; g &lt; 23\52<br /> | |||
</td> | </td> | ||
<td>-7+16g<br /> | <td>-7+16g<br /> | ||
| Line 5,571: | Line 6,191: | ||
</td> | </td> | ||
<td>3\35 &lt; g &lt; 4\45<br /> | <td>3\35 &lt; g &lt; 4\45<br /> | ||
</td> | |||
<td>4\45 &lt; g &lt; 5\55<br /> | |||
</td> | </td> | ||
<td>-1\5+3g<br /> | <td>-1\5+3g<br /> | ||
| Line 5,587: | Line 6,209: | ||
</td> | </td> | ||
<td>13\36 &lt; g &lt; 17\47<br /> | <td>13\36 &lt; g &lt; 17\47<br /> | ||
</td> | |||
<td>17\47 &lt; g &lt; 21\58<br /> | |||
</td> | </td> | ||
<td>14g-5<br /> | <td>14g-5<br /> | ||
| Line 5,603: | Line 6,227: | ||
</td> | </td> | ||
<td>3\37 &lt; g &lt; 4\49<br /> | <td>3\37 &lt; g &lt; 4\49<br /> | ||
</td> | |||
<td>4\49 &lt; g &lt; 5\61<br /> | |||
</td> | </td> | ||
<td>13g-1<br /> | <td>13g-1<br /> | ||
| Line 5,619: | Line 6,245: | ||
</td> | </td> | ||
<td>35\38 &lt; g &lt; 47\51<br /> | <td>35\38 &lt; g &lt; 47\51<br /> | ||
</td> | |||
<td>47\51 &lt; g &lt; 59\64<br /> | |||
</td> | </td> | ||
<td>12g-11<br /> | <td>12g-11<br /> | ||
| Line 5,635: | Line 6,263: | ||
</td> | </td> | ||
<td>25\39 &lt; g &lt; 34\53<br /> | <td>25\39 &lt; g &lt; 34\53<br /> | ||
</td> | |||
<td>34\53 &lt; g &lt; 43\67<br /> | |||
</td> | </td> | ||
<td>-7+11g<br /> | <td>-7+11g<br /> | ||
| Line 5,651: | Line 6,281: | ||
</td> | </td> | ||
<td><span style="line-height: 15.6000003814697px;">5\40 </span>&lt; g &lt; 7\55<br /> | <td><span style="line-height: 15.6000003814697px;">5\40 </span>&lt; g &lt; 7\55<br /> | ||
</td> | |||
<td>7\55 &lt; g &lt; 9\70<br /> | |||
</td> | </td> | ||
<td>-2g+1\5<br /> | <td>-2g+1\5<br /> | ||
| Line 5,667: | Line 6,299: | ||
</td> | </td> | ||
<td>23\41 &lt; g &lt; 32\57<br /> | <td>23\41 &lt; g &lt; 32\57<br /> | ||
</td> | |||
<td>32\57 &lt; g &lt; 41\73<br /> | |||
</td> | </td> | ||
<td>9g-5<br /> | <td>9g-5<br /> | ||
| Line 5,683: | Line 6,317: | ||
</td> | </td> | ||
<td>37\42 &lt; g &lt; 52\59<br /> | <td>37\42 &lt; g &lt; 52\59<br /> | ||
</td> | |||
<td>52\59 &lt; g &lt; 67\76<br /> | |||
</td> | </td> | ||
<td>8g-7<br /> | <td>8g-7<br /> | ||
| Line 5,699: | Line 6,335: | ||
</td> | </td> | ||
<td>31\43 &lt; g &lt; 44\61<br /> | <td>31\43 &lt; g &lt; 44\61<br /> | ||
</td> | |||
<td>44\61 &lt; g &lt; 57\79<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 5,715: | Line 6,353: | ||
</td> | </td> | ||
<td>37\44 &lt; g &lt; 53\63<br /> | <td>37\44 &lt; g &lt; 53\63<br /> | ||
</td> | |||
<td>53\63 &lt; g &lt; 69\82<br /> | |||
</td> | </td> | ||
<td>-19g+16<br /> | <td>-19g+16<br /> | ||
| Line 5,731: | Line 6,371: | ||
</td> | </td> | ||
<td>2\45 &lt; g &lt; 3\65<br /> | <td>2\45 &lt; g &lt; 3\65<br /> | ||
</td> | |||
<td>3\65 &lt; g &lt; 4\85<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 5,747: | Line 6,389: | ||
</td> | </td> | ||
<td>35\46 &lt; g &lt; 51\67<br /> | <td>35\46 &lt; g &lt; 51\67<br /> | ||
</td> | |||
<td>51\67 &lt; g &lt; 71\88<br /> | |||
</td> | </td> | ||
<td>4g-3<br /> | <td>4g-3<br /> | ||
| Line 5,763: | Line 6,407: | ||
</td> | </td> | ||
<td>32\47 &lt; g &lt; 47\69<br /> | <td>32\47 &lt; g &lt; 47\69<br /> | ||
</td> | |||
<td>47\69 &lt; g &lt; 62\91<br /> | |||
</td> | </td> | ||
<td>3g-2<br /> | <td>3g-2<br /> | ||
| Line 5,776: | Line 6,422: | ||
<td>g = 599\1150<br /> | <td>g = 599\1150<br /> | ||
</td> | </td> | ||
<td>13\25 &lt; g &lt; | <td>13\25 &lt; g &lt; 25\48<br /> | ||
</td> | </td> | ||
<td> | <td>25\48 &lt; g &lt; 37\71<br /> | ||
</td> | |||
<td>37\71 &lt; g &lt; 49\94<br /> | |||
</td> | </td> | ||
<td>-2g+1<br /> | <td>-2g+1<br /> | ||
| Line 5,795: | Line 6,443: | ||
</td> | </td> | ||
<td>2\49 &lt; g &lt; 3\73<br /> | <td>2\49 &lt; g &lt; 3\73<br /> | ||
</td> | |||
<td>3\73 &lt; g &lt; 4\97<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 5,809: | Line 6,459: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th><span style="background-color: #ffffff;">Midpoint</span><br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 5,834: | Line 6,486: | ||
</td> | </td> | ||
<td>26\27 &lt; g &lt; 27\28<br /> | <td>26\27 &lt; g &lt; 27\28<br /> | ||
</td> | |||
<td>27\28 &lt; g &lt; 28\29<br /> | |||
</td> | </td> | ||
<td>-24+25g<br /> | <td>-24+25g<br /> | ||
| Line 5,849: | Line 6,503: | ||
<td><span style="line-height: 15.6000003814697px;">12\26</span> &lt; g &lt; 13\28<br /> | <td><span style="line-height: 15.6000003814697px;">12\26</span> &lt; g &lt; 13\28<br /> | ||
</td> | </td> | ||
<td>13\28 &lt; g &lt; 14\30 | <td>13\28 &lt; g &lt; 14\30<br /> | ||
</td> | |||
<td>14\30 &lt; g &lt; 15\32<br /> | |||
</td> | </td> | ||
<td>12g-11\2<br /> | <td>12g-11\2<br /> | ||
| Line 5,866: | Line 6,522: | ||
</td> | </td> | ||
<td>19\29 &lt; g &lt; 21\32<br /> | <td>19\29 &lt; g &lt; 21\32<br /> | ||
</td> | |||
<td>21\32 &lt; g &lt; 23\35<br /> | |||
</td> | </td> | ||
<td>-15+23g<br /> | <td>-15+23g<br /> | ||
| Line 5,881: | Line 6,539: | ||
<td>6\26 &lt; g &lt; 7\30<br /> | <td>6\26 &lt; g &lt; 7\30<br /> | ||
</td> | </td> | ||
<td>7\30 &lt; g &lt; 8\34 | <td>7\30 &lt; g &lt; 8\34<br /> | ||
</td> | |||
<td>8\34 &lt; g &lt; 9\38<br /> | |||
</td> | </td> | ||
<td>11g-5\2<br /> | <td>11g-5\2<br /> | ||
| Line 5,898: | Line 6,558: | ||
</td> | </td> | ||
<td>6\31 &lt; g &lt; 7\36<br /> | <td>6\31 &lt; g &lt; 7\36<br /> | ||
</td> | |||
<td>7\36 &lt; g &lt; 8\41<br /> | |||
</td> | </td> | ||
<td>-4+21g<br /> | <td>-4+21g<br /> | ||
| Line 5,913: | Line 6,575: | ||
<td>4\26 &lt; g &lt; 5\32<br /> | <td>4\26 &lt; g &lt; 5\32<br /> | ||
</td> | </td> | ||
<td>5\32 &lt; g &lt; 6\38 | <td>5\32 &lt; g &lt; 6\38<br /> | ||
</td> | |||
<td>6\38 &lt; g &lt; 7\44<br /> | |||
</td> | </td> | ||
<td>-3\2+10g<br /> | <td>-3\2+10g<br /> | ||
| Line 5,930: | Line 6,594: | ||
</td> | </td> | ||
<td>14\33 &lt; g &lt; 17\40<br /> | <td>14\33 &lt; g &lt; 17\40<br /> | ||
</td> | |||
<td>17\40 &lt; g &lt; 20\47<br /> | |||
</td> | </td> | ||
<td>-8+19g<br /> | <td>-8+19g<br /> | ||
| Line 5,946: | Line 6,612: | ||
</td> | </td> | ||
<td>4\34 &lt; g &lt; 5\42<br /> | <td>4\34 &lt; g &lt; 5\42<br /> | ||
</td> | |||
<td>5\42 &lt; g &lt; 6\50<br /> | |||
</td> | </td> | ||
<td>9g-1<br /> | <td>9g-1<br /> | ||
| Line 5,962: | Line 6,630: | ||
</td> | </td> | ||
<td>31\35 &lt; g &lt; 39\44<br /> | <td>31\35 &lt; g &lt; 39\44<br /> | ||
</td> | |||
<td>39\44 &lt; g &lt; 47\53<br /> | |||
</td> | </td> | ||
<td>-15+17g<br /> | <td>-15+17g<br /> | ||
| Line 5,978: | Line 6,648: | ||
</td> | </td> | ||
<td>7\36 &lt; g &lt; 9\46<br /> | <td>7\36 &lt; g &lt; 9\46<br /> | ||
</td> | |||
<td>9\46 &lt; g &lt; 11\56<br /> | |||
</td> | </td> | ||
<td>-3\2+8g<br /> | <td>-3\2+8g<br /> | ||
| Line 5,994: | Line 6,666: | ||
</td> | </td> | ||
<td>10\37 &lt; g &lt; 13\48<br /> | <td>10\37 &lt; g &lt; 13\48<br /> | ||
</td> | |||
<td>13\48 &lt; g &lt; 16\59<br /> | |||
</td> | </td> | ||
<td>15g-4<br /> | <td>15g-4<br /> | ||
| Line 6,010: | Line 6,684: | ||
</td> | </td> | ||
<td>3\38 &lt; g &lt; 4\50<br /> | <td>3\38 &lt; g &lt; 4\50<br /> | ||
</td> | |||
<td>4\50 &lt; g &lt; 5\62<br /> | |||
</td> | </td> | ||
<td>7g-1\2<br /> | <td>7g-1\2<br /> | ||
| Line 6,026: | Line 6,702: | ||
</td> | </td> | ||
<td>2\39 &lt; g &lt; 3\52<br /> | <td>2\39 &lt; g &lt; 3\52<br /> | ||
</td> | |||
<td>3\52 &lt; g &lt; 4\65<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 6,042: | Line 6,720: | ||
</td> | </td> | ||
<td>17\40 &lt; g &lt; 23\54<br /> | <td>17\40 &lt; g &lt; 23\54<br /> | ||
</td> | |||
<td>23\54 &lt; g &lt; 29\68<br /> | |||
</td> | </td> | ||
<td>6g-5\2<br /> | <td>6g-5\2<br /> | ||
| Line 6,057: | Line 6,737: | ||
<td>19\26 &lt; g &lt; 30\41<br /> | <td>19\26 &lt; g &lt; 30\41<br /> | ||
</td> | </td> | ||
<td>30\41&lt; g &lt; 41\56<br /> | <td>30\41 &lt; g &lt; 41\56<br /> | ||
</td> | |||
<td>41\56 &lt; g &lt; 52\71<br /> | |||
</td> | </td> | ||
<td>-8+11g<br /> | <td>-8+11g<br /> | ||
| Line 6,067: | Line 6,749: | ||
<td><span style="line-height: 15.6000003814697px;">16L10s</span><br /> | <td><span style="line-height: 15.6000003814697px;">16L10s</span><br /> | ||
</td> | </td> | ||
<td> | <td>8\26 &lt; g &lt; 5\16<br /> | ||
</td> | </td> | ||
<td>g = 129\416<br /> | <td>g = 129\416<br /> | ||
</td> | </td> | ||
<td> | <td>8\26 &lt; g &lt; 13\42<br /> | ||
</td> | </td> | ||
<td> | <td>13\42 &lt; g &lt; 18\58<br /> | ||
</td> | |||
<td>18\58 &lt; g &lt; 23\74<br /> | |||
</td> | </td> | ||
<td>-8g+13\2<br /> | <td>-8g+13\2<br /> | ||
| Line 6,090: | Line 6,774: | ||
</td> | </td> | ||
<td>5\43 &lt; g &lt; 7\60<br /> | <td>5\43 &lt; g &lt; 7\60<br /> | ||
</td> | |||
<td>7\60 &lt; g &lt; 9\77<br /> | |||
</td> | </td> | ||
<td>9g-1<br /> | <td>9g-1<br /> | ||
| Line 6,105: | Line 6,791: | ||
<td>10\26 &lt; g &lt; 17\44<br /> | <td>10\26 &lt; g &lt; 17\44<br /> | ||
</td> | </td> | ||
<td>17\44 &lt; g &lt; 24\62 | <td>17\44 &lt; g &lt; 24\62<br /> | ||
</td> | |||
<td>24\62 &lt; g &lt; 31\80<br /> | |||
</td> | </td> | ||
<td>8g-7<br /> | <td>8g-7<br /> | ||
| Line 6,122: | Line 6,810: | ||
</td> | </td> | ||
<td>26\45 &lt; g &lt; 37\64<br /> | <td>26\45 &lt; g &lt; 37\64<br /> | ||
</td> | |||
<td>37\64 &lt; g &lt; 48\83<br /> | |||
</td> | </td> | ||
<td>11-19g<br /> | <td>11-19g<br /> | ||
| Line 6,131: | Line 6,821: | ||
<td><span style="line-height: 15.6000003814697px;">20L</span>6s<br /> | <td><span style="line-height: 15.6000003814697px;">20L</span>6s<br /> | ||
</td> | </td> | ||
<td> | <td>9\26 &lt; g &lt; 7\20<br /> | ||
</td> | |||
<td>g = 181\520<br /> | |||
</td> | </td> | ||
<td>g | <td>9\26 &lt; g &lt; 16\46<br /> | ||
</td> | </td> | ||
<td> | <td>16\46 &lt; g &lt; 23\66<br /> | ||
</td> | </td> | ||
<td> | <td>23\66 &lt; g &lt; 30\86<br /> | ||
</td> | </td> | ||
<td>-1+3g<br /> | <td>-1+3g<br /> | ||
| Line 6,154: | Line 6,846: | ||
</td> | </td> | ||
<td>38\47 &lt; g &lt; 55\68<br /> | <td>38\47 &lt; g &lt; 55\68<br /> | ||
</td> | |||
<td>55\68 &lt; g &lt; 72\89<br /> | |||
</td> | </td> | ||
<td>5g-4<br /> | <td>5g-4<br /> | ||
| Line 6,170: | Line 6,864: | ||
</td> | </td> | ||
<td>13\48 &lt; g &lt; 19\70<br /> | <td>13\48 &lt; g &lt; 19\70<br /> | ||
</td> | |||
<td>19\70 &lt; g &lt; 25\92<br /> | |||
</td> | </td> | ||
<td>2g-1\2<br /> | <td>2g-1\2<br /> | ||
| Line 6,186: | Line 6,882: | ||
</td> | </td> | ||
<td>17\49 &lt; g &lt; 25\72<br /> | <td>17\49 &lt; g &lt; 25\72<br /> | ||
</td> | |||
<td>25\72 &lt; g &lt; 33/95<br /> | |||
</td> | </td> | ||
<td>3g-1<br /> | <td>3g-1<br /> | ||
| Line 6,202: | Line 6,900: | ||
</td> | </td> | ||
<td>2\50 &lt; g &lt; 3\74<br /> | <td>2\50 &lt; g &lt; 3\74<br /> | ||
</td> | |||
<td>3\74 &lt; g &lt; 4\98<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 6,218: | Line 6,918: | ||
</td> | </td> | ||
<td>2\51&lt; g &lt; 3\76<br /> | <td>2\51&lt; g &lt; 3\76<br /> | ||
</td> | |||
<td>3\76 &lt; g &lt; 4\101<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 6,232: | Line 6,934: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th><span style="background-color: #ffffff;">Midpoint</span><br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 6,257: | Line 6,961: | ||
</td> | </td> | ||
<td>27\28 &lt; g &lt; 28\29<br /> | <td>27\28 &lt; g &lt; 28\29<br /> | ||
</td> | |||
<td>28\29 &lt; g &lt; 29\30<br /> | |||
</td> | </td> | ||
<td>-25+26g<br /> | <td>-25+26g<br /> | ||
| Line 6,273: | Line 6,979: | ||
</td> | </td> | ||
<td>14\29 &lt; g &lt; 15\31<br /> | <td>14\29 &lt; g &lt; 15\31<br /> | ||
</td> | |||
<td>15\31 &lt; g &lt; 16\33<br /> | |||
</td> | </td> | ||
<td>25g-12<br /> | <td>25g-12<br /> | ||
| Line 6,289: | Line 6,997: | ||
</td> | </td> | ||
<td>9\30 &lt; g &lt; 10\33<br /> | <td>9\30 &lt; g &lt; 10\33<br /> | ||
</td> | |||
<td>10\33 &lt; g &lt; 11\36<br /> | |||
</td> | </td> | ||
<td>-7\3+8g<br /> | <td>-7\3+8g<br /> | ||
| Line 6,305: | Line 7,015: | ||
</td> | </td> | ||
<td>23\31 &lt; g &lt; 26\35<br /> | <td>23\31 &lt; g &lt; 26\35<br /> | ||
</td> | |||
<td>26\35 &lt; g &lt; 29\39<br /> | |||
</td> | </td> | ||
<td>23g-17<br /> | <td>23g-17<br /> | ||
| Line 6,321: | Line 7,033: | ||
</td> | </td> | ||
<td>19\32 &lt; g &lt; 22\37<br /> | <td>19\32 &lt; g &lt; 22\37<br /> | ||
</td> | |||
<td>22\37 &lt; g &lt; 25\42<br /> | |||
</td> | </td> | ||
<td>-13+22g<br /> | <td>-13+22g<br /> | ||
| Line 6,336: | Line 7,050: | ||
<td>4\27 &lt; g &lt; 5\33<br /> | <td>4\27 &lt; g &lt; 5\33<br /> | ||
</td> | </td> | ||
<td>5\33 &lt; g &lt; 6\39 | <td>5\33 &lt; g &lt; 6\39<br /> | ||
</td> | |||
<td>6\39 &lt; g &lt; 7\45<br /> | |||
</td> | </td> | ||
<td>-1+7g<br /> | <td>-1+7g<br /> | ||
| Line 6,353: | Line 7,069: | ||
</td> | </td> | ||
<td>29\34 &lt; g &lt; 35\41<br /> | <td>29\34 &lt; g &lt; 35\41<br /> | ||
</td> | |||
<td>35\41 &lt; g &lt; 41\48<br /> | |||
</td> | </td> | ||
<td>-17+20g<br /> | <td>-17+20g<br /> | ||
| Line 6,369: | Line 7,087: | ||
</td> | </td> | ||
<td>13\35 &lt; g &lt; 16\43<br /> | <td>13\35 &lt; g &lt; 16\43<br /> | ||
</td> | |||
<td>16\43 &lt; g &lt; 19\51<br /> | |||
</td> | </td> | ||
<td>19g-7<br /> | <td>19g-7<br /> | ||
| Line 6,385: | Line 7,105: | ||
</td> | </td> | ||
<td>3\36 &lt; g &lt; 4\45<br /> | <td>3\36 &lt; g &lt; 4\45<br /> | ||
</td> | |||
<td>4\45 &lt; g &lt; 5\54<br /> | |||
</td> | </td> | ||
<td>-1\9+2g<br /> | <td>-1\9+2g<br /> | ||
| Line 6,401: | Line 7,123: | ||
</td> | </td> | ||
<td>11\37 &lt; g &lt; 14\47<br /> | <td>11\37 &lt; g &lt; 14\47<br /> | ||
</td> | |||
<td>14\47 &lt; g &lt; 17\57<br /> | |||
</td> | </td> | ||
<td>-5+17g<br /> | <td>-5+17g<br /> | ||
| Line 6,417: | Line 7,141: | ||
</td> | </td> | ||
<td>31\38 &lt; g &lt; 40\49<br /> | <td>31\38 &lt; g &lt; 40\49<br /> | ||
</td> | |||
<td>40\49 &lt; g &lt; 49\60<br /> | |||
</td> | </td> | ||
<td>16g-13<br /> | <td>16g-13<br /> | ||
| Line 6,433: | Line 7,159: | ||
</td> | </td> | ||
<td>3\39 &lt; g &lt; 4\51<br /> | <td>3\39 &lt; g &lt; 4\51<br /> | ||
</td> | |||
<td>4\51 &lt; g &lt; 5\63<br /> | |||
</td> | </td> | ||
<td>5g-1\3<br /> | <td>5g-1\3<br /> | ||
| Line 6,449: | Line 7,177: | ||
</td> | </td> | ||
<td>3\40 &lt; g &lt; 4\53<br /> | <td>3\40 &lt; g &lt; 4\53<br /> | ||
</td> | |||
<td>4\53 &lt; g &lt; 5\66<br /> | |||
</td> | </td> | ||
<td>14g-1<br /> | <td>14g-1<br /> | ||
| Line 6,465: | Line 7,195: | ||
</td> | </td> | ||
<td>38\41 &lt; g &lt; 51\55<br /> | <td>38\41 &lt; g &lt; 51\55<br /> | ||
</td> | |||
<td>51\55 &lt; g &lt; 64\69<br /> | |||
</td> | </td> | ||
<td>13g-12<br /> | <td>13g-12<br /> | ||
| Line 6,478: | Line 7,210: | ||
<td>g = 71\270<br /> | <td>g = 71\270<br /> | ||
</td> | </td> | ||
<td> | <td>7\27 &lt; g &lt; 11\42<br /> | ||
</td> | </td> | ||
<td> | <td>11\42 &lt; g &lt; 15\57<br /> | ||
</td> | |||
<td>15\57 &lt; g &lt; 19\72<br /> | |||
</td> | </td> | ||
<td>-4+4g<br /> | <td>-4+4g<br /> | ||
| Line 6,497: | Line 7,231: | ||
</td> | </td> | ||
<td>8\43 &lt; g &lt; 11\59<br /> | <td>8\43 &lt; g &lt; 11\59<br /> | ||
</td> | |||
<td>11\59 &lt; g &lt; 14\75<br /> | |||
</td> | </td> | ||
<td>11g-2<br /> | <td>11g-2<br /> | ||
| Line 6,513: | Line 7,249: | ||
</td> | </td> | ||
<td>31\44 &lt; g &lt; 43\61<br /> | <td>31\44 &lt; g &lt; 43\61<br /> | ||
</td> | |||
<td>43\61 &lt; g &lt; 55\78<br /> | |||
</td> | </td> | ||
<td>10g-7<br /> | <td>10g-7<br /> | ||
| Line 6,528: | Line 7,266: | ||
<td>1\27 &lt; g &lt; 2\45<br /> | <td>1\27 &lt; g &lt; 2\45<br /> | ||
</td> | </td> | ||
<td>2\45 &lt; g &lt; 3\63 | <td>2\45 &lt; g &lt; 3\63<br /> | ||
</td> | |||
<td>3\63 &lt; g &lt; 4\81<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 6,545: | Line 7,285: | ||
</td> | </td> | ||
<td>29\46 &lt; g &lt; 41\65<br /> | <td>29\46 &lt; g &lt; 41\65<br /> | ||
</td> | |||
<td>41\65 &lt; g &lt; 53\84<br /> | |||
</td> | </td> | ||
<td>-5+8g<br /> | <td>-5+8g<br /> | ||
| Line 6,561: | Line 7,303: | ||
</td> | </td> | ||
<td>7\47 &lt; g &lt; 10\67<br /> | <td>7\47 &lt; g &lt; 10\67<br /> | ||
</td> | |||
<td>10\67 &lt; g &lt; 13\87<br /> | |||
</td> | </td> | ||
<td>-1+7g<br /> | <td>-1+7g<br /> | ||
| Line 6,577: | Line 7,321: | ||
</td> | </td> | ||
<td>9\48 &lt; g &lt; 13\69<br /> | <td>9\48 &lt; g &lt; 13\69<br /> | ||
</td> | |||
<td>13\69 &lt; g &lt; 17\90<br /> | |||
</td> | </td> | ||
<td>2g-1\3<br /> | <td>2g-1\3<br /> | ||
| Line 6,593: | Line 7,339: | ||
</td> | </td> | ||
<td>20\49 &lt; g &lt; 29\71<br /> | <td>20\49 &lt; g &lt; 29\71<br /> | ||
</td> | |||
<td>29\71 &lt; g &lt; 38\93<br /> | |||
</td> | </td> | ||
<td>5g-2<br /> | <td>5g-2<br /> | ||
| Line 6,609: | Line 7,357: | ||
</td> | </td> | ||
<td>13\50 &lt; g &lt; 19\73<br /> | <td>13\50 &lt; g &lt; 19\73<br /> | ||
</td> | |||
<td>19\73 &lt; g &lt; 25\96<br /> | |||
</td> | </td> | ||
<td>4g-1<br /> | <td>4g-1<br /> | ||
| Line 6,625: | Line 7,375: | ||
</td> | </td> | ||
<td>2/51 &lt; g &lt; 3\75<br /> | <td>2/51 &lt; g &lt; 3\75<br /> | ||
</td> | |||
<td>3\75 &lt; g &lt; 4\99<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 6,640: | Line 7,392: | ||
<td>14\27 &lt; g &lt; 27\52<br /> | <td>14\27 &lt; g &lt; 27\52<br /> | ||
</td> | </td> | ||
<td>27\52&lt; g &lt; 40\77<br /> | <td>27\52 &lt; g &lt; 40\77<br /> | ||
</td> | |||
<td>40\77 &lt; g &lt; 53\102<br /> | |||
</td> | </td> | ||
<td>2g-1<br /> | <td>2g-1<br /> | ||
| Line 6,656: | Line 7,410: | ||
<td>1\27 &lt; g &lt; 2\53<br /> | <td>1\27 &lt; g &lt; 2\53<br /> | ||
</td> | </td> | ||
<td>2\53&lt; g &lt; 3\79<br /> | <td>2\53 &lt; g &lt; 3\79<br /> | ||
</td> | |||
<td>3\79 &lt; g &lt; 4\105<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 6,671: | Line 7,427: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th><span style="background-color: #ffffff;">Midpoint</span><br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 6,696: | Line 7,454: | ||
</td> | </td> | ||
<td>28\29 &lt; g &lt; 29\30<br /> | <td>28\29 &lt; g &lt; 29\30<br /> | ||
</td> | |||
<td>29\30 &lt; g &lt; 30\31<br /> | |||
</td> | </td> | ||
<td>-26+27g<br /> | <td>-26+27g<br /> | ||
| Line 6,712: | Line 7,472: | ||
</td> | </td> | ||
<td>14\30 &lt; g &lt; 15\32<br /> | <td>14\30 &lt; g &lt; 15\32<br /> | ||
</td> | |||
<td>15\32 &lt; g &lt; 16\34<br /> | |||
</td> | </td> | ||
<td>13g-6<br /> | <td>13g-6<br /> | ||
| Line 6,728: | Line 7,490: | ||
</td> | </td> | ||
<td><span style="line-height: 15.6000003814697px;">10\31 &lt; g &lt; 11\34</span><br /> | <td><span style="line-height: 15.6000003814697px;">10\31 &lt; g &lt; 11\34</span><br /> | ||
</td> | |||
<td>11\34 &lt; g &lt; 12\37<br /> | |||
</td> | </td> | ||
<td>-8+25g<br /> | <td>-8+25g<br /> | ||
| Line 6,743: | Line 7,507: | ||
<td>6\28 &lt; g &lt; 7\32<br /> | <td>6\28 &lt; g &lt; 7\32<br /> | ||
</td> | </td> | ||
<td>7\32 &lt; g &lt; 8\36 | <td>7\32 &lt; g &lt; 8\36<br /> | ||
</td> | |||
<td>8\36 &lt; g &lt; 9\40<br /> | |||
</td> | </td> | ||
<td>6g-5\4<br /> | <td>6g-5\4<br /> | ||
| Line 6,760: | Line 7,526: | ||
</td> | </td> | ||
<td>13\33 &lt; g &lt; 15\38<br /> | <td>13\33 &lt; g &lt; 15\38<br /> | ||
</td> | |||
<td>15\38 &lt; g &lt; 17\43<br /> | |||
</td> | </td> | ||
<td>-9+23g<br /> | <td>-9+23g<br /> | ||
| Line 6,769: | Line 7,537: | ||
<td>6L22s<br /> | <td>6L22s<br /> | ||
</td> | </td> | ||
<td>9\28 &lt; g &lt; 2\6 | <td>9\28 &lt; g &lt; 2\6<br /> | ||
</td> | </td> | ||
<td>g = 55\168<br /> | <td>g = 55\168<br /> | ||
| Line 6,776: | Line 7,544: | ||
</td> | </td> | ||
<td>11\34 &lt; g &lt; 13\40<br /> | <td>11\34 &lt; g &lt; 13\40<br /> | ||
</td> | |||
<td>13\40 &lt; g &lt; 15\46<br /> | |||
</td> | </td> | ||
<td>-7\2+11g<br /> | <td>-7\2+11g<br /> | ||
| Line 6,792: | Line 7,562: | ||
</td> | </td> | ||
<td>4\35 &lt; g &lt; 5\42<br /> | <td>4\35 &lt; g &lt; 5\42<br /> | ||
</td> | |||
<td>5\42 &lt; g &lt; 6\49<br /> | |||
</td> | </td> | ||
<td>-2\7+3g<br /> | <td>-2\7+3g<br /> | ||
| Line 6,808: | Line 7,580: | ||
</td> | </td> | ||
<td>4\36 &lt; g &lt; 5\44<br /> | <td>4\36 &lt; g &lt; 5\44<br /> | ||
</td> | |||
<td>5\44 &lt; g &lt; 6\52<br /> | |||
</td> | </td> | ||
<td>5g-1\2<br /> | <td>5g-1\2<br /> | ||
| Line 6,824: | Line 7,598: | ||
</td> | </td> | ||
<td>4\37 &lt; g &lt; 5\46<br /> | <td>4\37 &lt; g &lt; 5\46<br /> | ||
</td> | |||
<td>5\46 &lt; g &lt; 6\55<br /> | |||
</td> | </td> | ||
<td>-2+19g<br /> | <td>-2+19g<br /> | ||
| Line 6,840: | Line 7,616: | ||
</td> | </td> | ||
<td>15\38 &lt; g &lt; 19\48<br /> | <td>15\38 &lt; g &lt; 19\48<br /> | ||
</td> | |||
<td>19\48 &lt; g &lt; 23\58<br /> | |||
</td> | </td> | ||
<td>-7\2+4g<br /> | <td>-7\2+4g<br /> | ||
| Line 6,856: | Line 7,634: | ||
</td> | </td> | ||
<td>7\39 &lt; g &lt; 9\50<br /> | <td>7\39 &lt; g &lt; 9\50<br /> | ||
</td> | |||
<td>9\50 &lt; g &lt; 11\61<br /> | |||
</td> | </td> | ||
<td>17g-3<br /> | <td>17g-3<br /> | ||
| Line 6,871: | Line 7,651: | ||
<td>2\28 &lt; g &lt; 3\40<br /> | <td>2\28 &lt; g &lt; 3\40<br /> | ||
</td> | </td> | ||
<td>3\40 &lt; g &lt;4\52<br /> | <td>3\40 &lt; g &lt; 4\52<br /> | ||
</td> | |||
<td>4\52 &lt; g &lt; 5\64<br /> | |||
</td> | </td> | ||
<td>4g-1\4<br /> | <td>4g-1\4<br /> | ||
| Line 6,888: | Line 7,670: | ||
</td> | </td> | ||
<td>22\41 &lt; g &lt; 29\54<br /> | <td>22\41 &lt; g &lt; 29\54<br /> | ||
</td> | |||
<td>29\54 &lt; g &lt; 36\67<br /> | |||
</td> | </td> | ||
<td>15g-8<br /> | <td>15g-8<br /> | ||
| Line 6,904: | Line 7,688: | ||
</td> | </td> | ||
<td>2\42 &lt; g &lt; 3\56<br /> | <td>2\42 &lt; g &lt; 3\56<br /> | ||
</td> | |||
<td>3\56 &lt; g &lt; 4\70<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 6,920: | Line 7,706: | ||
</td> | </td> | ||
<td>20\43 &lt; g &lt; 27\58<br /> | <td>20\43 &lt; g &lt; 27\58<br /> | ||
</td> | |||
<td>27\58 &lt; g &lt; 34\73<br /> | |||
</td> | </td> | ||
<td>13g-6<br /> | <td>13g-6<br /> | ||
| Line 6,936: | Line 7,724: | ||
</td> | </td> | ||
<td>8\44 &lt; g &lt; 11\60<br /> | <td>8\44 &lt; g &lt; 11\60<br /> | ||
</td> | |||
<td>11\60 &lt; g &lt; 14\76<br /> | |||
</td> | </td> | ||
<td>-1\2+3g<br /> | <td>-1\2+3g<br /> | ||
| Line 6,952: | Line 7,742: | ||
</td> | </td> | ||
<td>37\45 &lt; g &lt; 51\62<br /> | <td>37\45 &lt; g &lt; 51\62<br /> | ||
</td> | |||
<td>51\62 &lt; g &lt; 65\79<br /> | |||
</td> | </td> | ||
<td>11g-9<br /> | <td>11g-9<br /> | ||
| Line 6,961: | Line 7,753: | ||
<td><span style="line-height: 15.6000003814697px;">18L10s</span><br /> | <td><span style="line-height: 15.6000003814697px;">18L10s</span><br /> | ||
</td> | </td> | ||
<td>3\28 &lt; g &lt; 2\18 | <td>3\28 &lt; g &lt; 2\18<br /> | ||
</td> | </td> | ||
<td>g = 55\504<br /> | <td>g = 55\504<br /> | ||
| Line 6,968: | Line 7,760: | ||
</td> | </td> | ||
<td>5\46 &lt; g &lt; 7\64<br /> | <td>5\46 &lt; g &lt; 7\64<br /> | ||
</td> | |||
<td>7\64 &lt; g &lt; 9\82<br /> | |||
</td> | </td> | ||
<td>5g-1\2<br /> | <td>5g-1\2<br /> | ||
| Line 6,984: | Line 7,778: | ||
</td> | </td> | ||
<td>42\47 &lt; g &lt; 59\66<br /> | <td>42\47 &lt; g &lt; 59\66<br /> | ||
</td> | |||
<td>59\66 &lt; g &lt; 76\85<br /> | |||
</td> | </td> | ||
<td>9g-8<br /> | <td>9g-8<br /> | ||
| Line 6,999: | Line 7,795: | ||
<td>4\28 &lt; g &lt; 7\48<br /> | <td>4\28 &lt; g &lt; 7\48<br /> | ||
</td> | </td> | ||
<td>7\48 &lt; g &lt; 10\68 | <td>7\48 &lt; g &lt; 10\68<br /> | ||
</td> | |||
<td>10\68 &lt; g &lt; 13\88<br /> | |||
</td> | </td> | ||
<td>-1\4+2g<br /> | <td>-1\4+2g<br /> | ||
| Line 7,016: | Line 7,814: | ||
</td> | </td> | ||
<td>2\49 &lt; g &lt; 3\70<br /> | <td>2\49 &lt; g &lt; 3\70<br /> | ||
</td> | |||
<td>3\70 &lt; g &lt; 4\91<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 7,032: | Line 7,832: | ||
</td> | </td> | ||
<td>9\50 &lt; g &lt; 13\72<br /> | <td>9\50 &lt; g &lt; 13\72<br /> | ||
</td> | |||
<td>13\72 &lt; g &lt; 17\94<br /> | |||
</td> | </td> | ||
<td>3g-1\2<br /> | <td>3g-1\2<br /> | ||
| Line 7,048: | Line 7,850: | ||
</td> | </td> | ||
<td>31\51 &lt; g &lt; 45\74<br /> | <td>31\51 &lt; g &lt; 45\74<br /> | ||
</td> | |||
<td>45\74 &lt; g &lt; 59\97<br /> | |||
</td> | </td> | ||
<td>5g-3<br /> | <td>5g-3<br /> | ||
| Line 7,064: | Line 7,868: | ||
</td> | </td> | ||
<td>2\52 &lt; g &lt; 3\76<br /> | <td>2\52 &lt; g &lt; 3\76<br /> | ||
</td> | |||
<td>3\76 &lt; g &lt; 4\100<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 7,080: | Line 7,886: | ||
</td> | </td> | ||
<td>36\53 &lt; g &lt; 53\78<br /> | <td>36\53 &lt; g &lt; 53\78<br /> | ||
</td> | |||
<td>53\76 &lt; g &lt; 70\103<br /> | |||
</td> | </td> | ||
<td>3g-2<br /> | <td>3g-2<br /> | ||
| Line 7,089: | Line 7,897: | ||
<td><span style="line-height: 15.6000003814697px;">26L</span>2s<br /> | <td><span style="line-height: 15.6000003814697px;">26L</span>2s<br /> | ||
</td> | </td> | ||
<td> | <td>13\28 &lt; g &lt; 12\26<br /> | ||
</td> | </td> | ||
<td>g = 391\728<br /> | <td>g = 391\728<br /> | ||
</td> | </td> | ||
<td> | <td>13\28 &lt; g &lt; 25\54<br /> | ||
</td> | </td> | ||
<td> | <td>25\54 &lt; g &lt; 37\80<br /> | ||
</td> | |||
<td>37\80 &lt; g &lt; 49\106<br /> | |||
</td> | </td> | ||
<td>g-1\2<br /> | <td>g-1\2<br /> | ||
| Line 7,112: | Line 7,922: | ||
</td> | </td> | ||
<td>2\55 &lt; g &lt; 3\82<br /> | <td>2\55 &lt; g &lt; 3\82<br /> | ||
</td> | |||
<td>3\82 &lt; g &lt; 4\109<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 7,126: | Line 7,938: | ||
<table class="wiki_table"> | <table class="wiki_table"> | ||
<tr> | <tr> | ||
< | <th>Large-small numbers<br /> | ||
</ | </th> | ||
< | <th>Generator range<br /> | ||
</ | </th> | ||
< | <th><span style="background-color: #ffffff;">Midpoint</span><br /> | ||
</ | </th> | ||
< | <th>Range of propriety<br /> | ||
</ | </th> | ||
< | <th>Range of maximum expressiveness<br /> | ||
</ | </th> | ||
< | <th><span style="display: block; text-align: center;">Top</span><span style="display: block; text-align: center;">range of diatonicity</span><br /> | ||
</ | </th> | ||
< | <th>Large step<br /> | ||
</ | </th> | ||
<th>Small step<br /> | |||
</th> | |||
</tr> | </tr> | ||
<tr> | <tr> | ||
| Line 7,151: | Line 7,965: | ||
</td> | </td> | ||
<td>29\30 &lt; g &lt; 30\31<br /> | <td>29\30 &lt; g &lt; 30\31<br /> | ||
</td> | |||
<td>30\31 &lt; g &lt; 31\32<br /> | |||
</td> | </td> | ||
<td>-27+28g<br /> | <td>-27+28g<br /> | ||
| Line 7,167: | Line 7,983: | ||
</td> | </td> | ||
<td>15\31 &lt; g &lt; 16\33<br /> | <td>15\31 &lt; g &lt; 16\33<br /> | ||
</td> | |||
<td>16\33 &lt; g &lt; 17\35<br /> | |||
</td> | </td> | ||
<td>27g-13<br /> | <td>27g-13<br /> | ||
| Line 7,183: | Line 8,001: | ||
</td> | </td> | ||
<td>21\32 &lt; g &lt; 23\35<br /> | <td>21\32 &lt; g &lt; 23\35<br /> | ||
</td> | |||
<td>23\35 &lt; g &lt; 25\38<br /> | |||
</td> | </td> | ||
<td>-17+23g<br /> | <td>-17+23g<br /> | ||
| Line 7,199: | Line 8,019: | ||
</td> | </td> | ||
<td>8\33 &lt; g &lt; 9\37<br /> | <td>8\33 &lt; g &lt; 9\37<br /> | ||
</td> | |||
<td>9\37 &lt; g &lt; 10\41<br /> | |||
</td> | </td> | ||
<td>25g-6<br /> | <td>25g-6<br /> | ||
| Line 7,215: | Line 8,037: | ||
</td> | </td> | ||
<td>27\34 &lt; g &lt; 31\39<br /> | <td>27\34 &lt; g &lt; 31\39<br /> | ||
</td> | |||
<td>31\39 &lt; g &lt; 35\44<br /> | |||
</td> | </td> | ||
<td>-19+24g<br /> | <td>-19+24g<br /> | ||
| Line 7,231: | Line 8,055: | ||
</td> | </td> | ||
<td>29\35 &lt; g &lt; 34\41<br /> | <td>29\35 &lt; g &lt; 34\41<br /> | ||
</td> | |||
<td>34\41 &lt; g &lt; 39\47<br /> | |||
</td> | </td> | ||
<td>-19+23g<br /> | <td>-19+23g<br /> | ||
| Line 7,247: | Line 8,073: | ||
</td> | </td> | ||
<td>5\36 &lt; g &lt; 6\43<br /> | <td>5\36 &lt; g &lt; 6\43<br /> | ||
</td> | |||
<td>6\43 &lt; g &lt; 7\50<br /> | |||
</td> | </td> | ||
<td>-3+22g<br /> | <td>-3+22g<br /> | ||
| Line 7,263: | Line 8,091: | ||
</td> | </td> | ||
<td>23\37 &lt; g &lt; 28\45<br /> | <td>23\37 &lt; g &lt; 28\45<br /> | ||
</td> | |||
<td>28\45 &lt; g &lt; 33\53<br /> | |||
</td> | </td> | ||
<td><span style="line-height: 15.6000003814697px;">-13+21g</span><br /> | <td><span style="line-height: 15.6000003814697px;">-13+21g</span><br /> | ||
| Line 7,279: | Line 8,109: | ||
</td> | </td> | ||
<td>21\38 &lt; g &lt; 26\47<br /> | <td>21\38 &lt; g &lt; 26\47<br /> | ||
</td> | |||
<td>26\47 &lt; g &lt; 31\56<br /> | |||
</td> | </td> | ||
<td>-11+20g<br /> | <td>-11+20g<br /> | ||
| Line 7,295: | Line 8,127: | ||
</td> | </td> | ||
<td>35\39 &lt; g &lt; 44\49<br /> | <td>35\39 &lt; g &lt; 44\49<br /> | ||
</td> | |||
<td>44\49 &lt; g &lt; 53\59<br /> | |||
</td> | </td> | ||
<td>-17+19g<br /> | <td>-17+19g<br /> | ||
| Line 7,311: | Line 8,145: | ||
</td> | </td> | ||
<td>29\40 &lt; g &lt; 37\51<br /> | <td>29\40 &lt; g &lt; 37\51<br /> | ||
</td> | |||
<td>37\51 &lt; g &lt; 45\62<br /> | |||
</td> | </td> | ||
<td>18g-13<br /> | <td>18g-13<br /> | ||
| Line 7,327: | Line 8,163: | ||
</td> | </td> | ||
<td>17\41 &lt; g &lt; 22\53<br /> | <td>17\41 &lt; g &lt; 22\53<br /> | ||
</td> | |||
<td>22\53 &lt; g &lt; 27\65<br /> | |||
</td> | </td> | ||
<td>17g-7<br /> | <td>17g-7<br /> | ||
| Line 7,343: | Line 8,181: | ||
</td> | </td> | ||
<td>29\42 &lt; g &lt; 38\55<br /> | <td>29\42 &lt; g &lt; 38\55<br /> | ||
</td> | |||
<td>38\55 &lt; g &lt; 47\68<br /> | |||
</td> | </td> | ||
<td>16g+11<br /> | <td>16g+11<br /> | ||
| Line 7,359: | Line 8,199: | ||
</td> | </td> | ||
<td>3\43 &lt; g &lt; 4\57<br /> | <td>3\43 &lt; g &lt; 4\57<br /> | ||
</td> | |||
<td>4\57 &lt; g &lt; 5\71<br /> | |||
</td> | </td> | ||
<td>15g-1<br /> | <td>15g-1<br /> | ||
| Line 7,375: | Line 8,217: | ||
</td> | </td> | ||
<td>41\44 &lt; g &lt; 55\59<br /> | <td>41\44 &lt; g &lt; 55\59<br /> | ||
</td> | |||
<td>55\59 &lt; g &lt; 69\74<br /> | |||
</td> | </td> | ||
<td>14g-13<br /> | <td>14g-13<br /> | ||
| Line 7,391: | Line 8,235: | ||
</td> | </td> | ||
<td>14\45 &lt; g &lt; 19\61<br /> | <td>14\45 &lt; g &lt; 19\61<br /> | ||
</td> | |||
<td>19\61 &lt; g &lt; 24\77<br /> | |||
</td> | </td> | ||
<td>-4+13g<br /> | <td>-4+13g<br /> | ||
| Line 7,407: | Line 8,253: | ||
</td> | </td> | ||
<td>27\46 &lt; g &lt; 37\63<br /> | <td>27\46 &lt; g &lt; 37\63<br /> | ||
</td> | |||
<td>37\63 &lt; g &lt; 47\80<br /> | |||
</td> | </td> | ||
<td>17g-7<br /> | <td>17g-7<br /> | ||
| Line 7,423: | Line 8,271: | ||
</td> | </td> | ||
<td>13\47 &lt; g &lt; 18\65<br /> | <td>13\47 &lt; g &lt; 18\65<br /> | ||
</td> | |||
<td>18\65 &lt; g &lt; 23\83<br /> | |||
</td> | </td> | ||
<td>11g-3<br /> | <td>11g-3<br /> | ||
| Line 7,439: | Line 8,289: | ||
</td> | </td> | ||
<td>5\48 &lt; g &lt; 7\67<br /> | <td>5\48 &lt; g &lt; 7\67<br /> | ||
</td> | |||
<td>7\67 &lt; g &lt; 9\86<br /> | |||
</td> | </td> | ||
<td>10g-1<br /> | <td>10g-1<br /> | ||
| Line 7,455: | Line 8,307: | ||
</td> | </td> | ||
<td>22\49 &lt; g &lt; 31\69<br /> | <td>22\49 &lt; g &lt; 31\69<br /> | ||
</td> | |||
<td>31\69 &lt; g &lt; 40\89<br /> | |||
</td> | </td> | ||
<td>9-20g<br /> | <td>9-20g<br /> | ||
| Line 7,471: | Line 8,325: | ||
</td> | </td> | ||
<td>19\50 &lt; g &lt; 27\71<br /> | <td>19\50 &lt; g &lt; 27\71<br /> | ||
</td> | |||
<td>27\71 &lt; g &lt; 35\92<br /> | |||
</td> | </td> | ||
<td>8g-3<br /> | <td>8g-3<br /> | ||
| Line 7,487: | Line 8,343: | ||
</td> | </td> | ||
<td>44\51 &lt; g &lt; 63\73<br /> | <td>44\51 &lt; g &lt; 63\73<br /> | ||
</td> | |||
<td>63\73 &lt; g &lt; 82\95<br /> | |||
</td> | </td> | ||
<td>7g-6<br /> | <td>7g-6<br /> | ||
| Line 7,503: | Line 8,361: | ||
</td> | </td> | ||
<td>9\52 &lt; g &lt; 13\75<br /> | <td>9\52 &lt; g &lt; 13\75<br /> | ||
</td> | |||
<td>13\75 &lt; g &lt; 17\98<br /> | |||
</td> | </td> | ||
<td>6g-1<br /> | <td>6g-1<br /> | ||
| Line 7,519: | Line 8,379: | ||
</td> | </td> | ||
<td>11\53 &lt; g &lt; 16\77<br /> | <td>11\53 &lt; g &lt; 16\77<br /> | ||
</td> | |||
<td>16\77 &lt; g &lt; 21\101<br /> | |||
</td> | </td> | ||
<td>5g-9<br /> | <td>5g-9<br /> | ||
| Line 7,535: | Line 8,397: | ||
</td> | </td> | ||
<td>41\54 &lt; g &lt; 60\79<br /> | <td>41\54 &lt; g &lt; 60\79<br /> | ||
</td> | |||
<td>60\79 &lt; g &lt; 79\104<br /> | |||
</td> | </td> | ||
<td>4g-3<br /> | <td>4g-3<br /> | ||
| Line 7,551: | Line 8,415: | ||
</td> | </td> | ||
<td>19\55 &lt; g &lt; 28\81<br /> | <td>19\55 &lt; g &lt; 28\81<br /> | ||
</td> | |||
<td>28\81 &lt; g &lt; 37\107<br /> | |||
</td> | </td> | ||
<td>3g-1<br /> | <td>3g-1<br /> | ||
| Line 7,566: | Line 8,432: | ||
<td>15\29 &lt; g &lt; 29\56<br /> | <td>15\29 &lt; g &lt; 29\56<br /> | ||
</td> | </td> | ||
<td>29\56 &lt; g &lt; | <td>29\56 &lt; g &lt; 43\83<br /> | ||
</td> | |||
<td>43\83 &lt; g &lt; 57\110<br /> | |||
</td> | </td> | ||
<td>2g-1<br /> | <td>2g-1<br /> | ||
| Line 7,583: | Line 8,451: | ||
</td> | </td> | ||
<td><span style="line-height: 15.6000003814697px;">2\57 &lt; g &lt; 3\85</span><br /> | <td><span style="line-height: 15.6000003814697px;">2\57 &lt; g &lt; 3\85</span><br /> | ||
</td> | |||
<td>3\85 &lt; g &lt; 4\113<br /> | |||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||