Generator ranges of MOS: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 540025538 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 540992694 - 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>2015-02- | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-14 21:55:36 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>540992694</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> | ||
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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= | =2, 3, 4= | ||
|| Large-small numbers || Generator range || Range of propriety || Range of maximum expressiveness || Large step || Small step || | || Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||
|| 1L1s || 1\2 < g < 1 || 1\2 < g < 2\3 || 2\3 < g < 3\4 || g || 1-g | || 1L1s || 1\2 < g < 1 || g = 3\4 || 1\2 < g < 2\3 || 2\3 < g < 3\4 || g || 1-g || | ||
|| 1L2s || 2\3 < g < 1 || g = 5\6 || 2\3 < g < 3\4 || 3\4 < g < 4\5 || 2g-1 || 1-g || | |||
|| 2L1s || 1\3 < g < 1\2 || g = 5\12 || 1\3 < g < 2\5 || 2\5 < g < 3\7 || g || 1-2g || | |||
|| 1L3s || 3\4 < g < 1 || g = 7\8 || 3\4 < g < 4\5 || 4\5 < g < 5\6 || 3g-2 || 1-g || | |||
|| 1L2s || 2\3 < g < 1 || 2\3 < g < 3\4 || 3\4 < g < 4\5 || 2g-1 || 1-g || | || 2L2s || 1\4 < g < 1\2 || g = 3\8 || 1\4 < g < 2\6 (1\3) || 2\6 (1/3) < g < 3\8 || g || 1\2-g || | ||
|| 2L1s || 1\3 < g < 1\2 || 1\3 < g < 2\5 || 2\5 < g < 3\7 || g || 1-2g | || 3L1s || 1\4 < g < 1\3 || g = 7\24 || 1\4 < g < 2\7 || 2\7 < g < 3\10 || g || 1-3g || | ||
|| 1L3s || 3\4 < g < 1 || 3\4 < g < 4\5 || 4\5 < g < 5\6 || 3g-2 || 1-g || | |||
|| 2L2s || 1\4 < g < 1\2 || 1\4 < g < 2\6 (1\3) || 2\6 (1/3) < g < 3\8 || g || 1\2-g || | |||
|| 3L1s || 1\4 < g < 1\3 || 1\4 < g < 2\7 || 2\7 < g < 3\10 || g || 1-3g || | |||
=5= | =5= | ||
|| Large-small numbers || Generator range || Range of propriety || Range of maximum expressiveness || Large step || Small step || | || Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||
|| 1L4s || 4\5 < g < 1 || 4\5 < g < 5\6 || 5\6 < g < 6\7 || -3+4g || -g+1 || | || 1L4s || 4\5 < g < 1 || g = 9\10 || 4\5 < g < 5\6 || 5\6 < g < 6\7 || -3+4g || -g+1 || | ||
|| 2L3s || 2\5 < g < 1\2 || 2\5 < g < 3\7 || 3\7 < g < 4\9 || -1+3g || -2g+1 || | || 2L3s || 2\5 < g < 1\2 || g = 9\20 || 2\5 < g < 3\7 || 3\7 < g < 4\9 || -1+3g || -2g+1 || | ||
|| 3L2s || 3\5 < g < 2\3 || 3\5 < g < 5\8 || 5\8 < g < 7\11 || -1+2g || -3g+2 || | || 3L2s || 3\5 < g < 2\3 || g = 19\30 || 3\5 < g < 5\8 || 5\8 < g < 7\11 || -1+2g || -3g+2 || | ||
|| 4L1s || 1\5 < g < 1\4 || 1\5 < g < 2\9 || 2\9 < g < 3\13 || g || -4g+1 || | || 4L1s || 1\5 < g < 1\4 || g =9\40 || 1\5 < g < 2\9 || 2\9 < g < 3\13 || g || -4g+1 || | ||
=6= | =6= | ||
|| Large-small numbers || Generator range || Range of propriety || Range of maximum expressiveness || Large step || Small step || | || Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||
|| 1L5s || 5\6 < g < 1 || 5\6 < g < 6\7 || 6\7 < g < 7\8 || 5g-4 || 1-g || | || 1L5s || 5\6 < g < 1 || g = 11\12 || 5\6 < g < 6\7 || 6\7 < g < 7\8 || 5g-4 || 1-g || | ||
|| 2L4s || 2\6 | || 2L4s || 2\6 < g < 1\2 || g = 5\12 || 2\6 < g < 4\10 (2\5) || 4\10 (2\5) < g < 5\12 || 2g-1\2 || 1\2-g || | ||
|| 3L3s || 1\6 < g < 1\3 || 1\6 < g < 2\9 || 2\9 < g < 3\12 (1\4) || g || 1\3-g || | || 3L3s || 1\6 < g < 1\3 || g = 3\12 (1\4) || 1\6 < g < 2\9 || 2\9 < g < 3\12 (1\4) || g || 1\3-g || | ||
|| 4L2s || 1\6 < g < 1\4 || 1\6 < g < 2\10 (1\5) || 2\10 (1\5) < g < 3\14 || g || 1\2-2g || | || 4L2s || 1\6 < g < 1\4 || g = 5\24 || 1\6 < g < 2\10 (1\5) || 2\10 (1\5) < g < 3\14 || g || 1\2-2g || | ||
|| 5L1s || 1\6 < g < 1\5 || 1\6 < g < 2\11 || 2\11 < g < 3\16 || g || 1-5g || | || 5L1s || 1\6 < g < 1\5 || g = 11\60 || 1\6 < g < 2\11 || 2\11 < g < 3\16 || g || 1-5g || | ||
=7= | =7= | ||
|| Large-small numbers || Generator range || Range of propriety || Range of maximum expressiveness || Large step || Small step || | || Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||
|| 1L6s || 6\7 < g < 1 || 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 || 6g-5 || 1-g || | ||
|| 2L5s || 3\7 < g < 1\2 || 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 || 5g-2 || 1-2g || | ||
|| 3L4s || 2\7 < g < 1\3 || 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 || 4g-1 || 1-3g || | ||
|| 4L3s || 5\7 < g < 3\4 || 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 || 3g-2 || 3-4g || | ||
|| 5L2s || 4\7 < g < 3\5 || 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 || 2g-1 || 3-5g || | ||
|| 6L1s || 1\7 < g < 1\6 || 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 || g || 1-6g || | ||
=8= | =8= | ||
|| Large-small numbers || Generator range || Range of propriety || Range of maximum expressiveness || Large step || Small step || | || Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||
|| 1L7s || 7\8 < g < 1 || 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 || 7g-6 || 1-g || | ||
|| 2L6s || 3\8 < g < 1\2 || 3\8 < g < 4\10 (2\5) || 4\10 (2\5) < g < 5\12 || 3g-1 || 1\2-g || | || 2L6s || 3\8 < g < 1\2 || g = 7\16 || 3\8 < g < 4\10 (2\5) || 4\10 (2\5) < g < 5\12 || 3g-1 || 1\2-g || | ||
|| 3L5s || 5\8 < g < 2\3 || 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 || 5g-3 || 2-3g || | ||
|| 4L4s || 1\8 < g < 1\4 || 1\8 < g < 2\12 (1\6) || 2\12 (1\6) < g < 3\16 || g || 1\4-g || | || 4L4s || 1\8 < g < 1\4 || g = 3\16 || 1\8 < g < 2\12 (1\6) || 2\12 (1\6) < g < 3\16 || g || 1\4-g || | ||
|| 5L3s || 3\8 < g < 2\5 || 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 || 3g-1 || 2-5g || | ||
|| 6L2s || 1\8 < g < 1\6 || 1\8 < g < 2\14 (1\7) || 2\14 (1\7) < g < 3\20 || g || 1\2-3g || | || 6L2s || 1\8 < g < 1\6 || g = 7\48 || 1\8 < g < 2\14 (1\7) || 2\14 (1\7) < g < 3\20 || g || 1\2-3g || | ||
|| 7L1s || 1\8 < g < 1\7 || 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 || g || 1-7g || | ||
=9= | =9= | ||
|| Large-small numbers || Generator range || Range of propriety || Range of maximum expressiveness || Large step || Small step || | || Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||
|| 1L8s || 8\9 < g < 1 || 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 || 8g-7 || 1-g || | ||
|| 2L7s || 4\9 < g < 1\2 || 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 || 7g-3 || 1-2g || | ||
|| 3L6s || 2\9 < g < 1\3 || 2\9 < g < 3\12 (1\4) || 3\12 (1\4) < g < 4\15 || 2g-1\3 || 1\3-g || | || 3L6s || 2\9 < g < 1\3 || g = 5\18 || 2\9 < g < 3\12 (1\4) || 3\12 (1\4) < g < 4\15 || 2g-1\3 || 1\3-g || | ||
|| 4L5s || 2\9 < g < 1\4 || 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 || 5g-1 || 1-4g || | ||
|| 5L4s || 7\9 < g < 4\5 || 7\9 < g < 11\14 || 11\14 < g < 15\19 || 4g-3 || 4-5g || | || 5L4s || 7\9 < g < 4\5 || g = 71\90 || 7\9 < g < 11\14 || 11\14 < g < 15\19 || 4g-3 || 4-5g || | ||
|| 6L3s || 1\9 < g < 1\6 || 1\9 < g < 2\15 || 2\15 < g < 3\21 (1\7) || g || 1\3-2g || | || 6L3s || 1\9 < g < 1\6 || g = 5\36 || 1\9 < g < 2\15 || 2\15 < g < 3\21 (1\7) || g || 1\3-2g || | ||
|| 7L2s || 5\9 < g < 4\7 || 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 || 2g-1 || 4-7g || | ||
|| 8L1s || 1\9 < g < 1\8 || 1\9 < g < 2\17 || 217 < g < 3\25 || g || 1-8g || | || 8L1s || 1\9 < g < 1\8 || g = 17\144 || 1\9 < g < 2\17 || 217 < g < 3\25 || g || 1-8g || | ||
=10= | =10= | ||
|| Large-small numbers || Generator range || Range of propriety || Range of maximum expressiveness || Large step || Small step || | || Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||
|| 1L9s || 9\10 < g < 1 || 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 || -8+9g || -g+1 || | ||
|| 2L8s || 4\10 (2\5) < g < 1\2 || 4\10 (2\5) < g < 5\12 || 5\12 < g < 6\14 (3\7) || -3\2+4g || -g+1\2 || | || 2L8s || 4\10 (2\5) < g < 1\2 || g = 9\20 || 4\10 (2\5) < g < 5\12 || 5\12 < g < 6\14 (3\7) || -3\2+4g || -g+1\2 || | ||
|| 3L7s || 3\10 < g < 1\3 || 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 || -2+7g || 1-3g || | ||
|| 4L6s || 2\10 (1\5) < g < 1\4 || 2\10 (1\5) < g < 3\14 || 3\14 < g < 4\18 (2\9) || 3g-1\2 || -2g+1\2 || | || 4L6s || 2\10 (1\5) < g < 1\4 || g = 9\40 || 2\10 (1\5) < g < 3\14 || 3\14 < g < 4\18 (2\9) || 3g-1\2 || -2g+1\2 || | ||
|| 5L5s || 1\10 < g < 1\5 || 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 || g || -g+1\5 || | ||
|| 6L4s || 3\10 < g < 2\6 (1\3) || 3\10 < g < 5\16 || 5\16 < g < 7\22 || -1\2+2g || 1-3g || | || 6L4s || 3\10 < g < 2\6 (1\3) || g = 19\60 || 3\10 < g < 5\16 || 5\16 < g < 7\22 || -1\2+2g || 1-3g || | ||
|| 7L3s || 7\10 < g < 5\7 || 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 || -2+3g || -7g+5 || | ||
|| 8L2s || 1\10 < g < 1\8 || 1\10 < g < 2\18 (1\9) || 2\18 (1\9) < g < 3\26 || g || -4g+1\2 || | || 8L2s || 1\10 < g < 1\8 || g = 9\80 || 1\10 < g < 2\18 (1\9) || 2\18 (1\9) < g < 3\26 || g || -4g+1\2 || | ||
|| 9L1s || 1\10 < g < 1\9 || 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 || g || -9g+1 || | ||
=11= | =11= | ||
|| Large-small numbers || Generator range || Range of propriety || Range of maximum expressiveness || Large step || Small step || | || Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||
|| 1L10s || 10\11 < g < 1 || 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 || -9+10g || -g+1 || | ||
|| 2L9s || 5\11 < g < 1\2 || 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 || -4+9g || -2g+1 || | ||
|| 3L8s || 7\11 < g < 2\3 || 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 || -5+8g || -3g+2 || | ||
|| 4L7s || 8\11 < g < 3\4 || 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 || -5+7g || -4g+3 || | ||
|| 5L6s || 2\11 < g < 1\5 || 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 || -1+6g || -5g+1 || | ||
|| 6L5s || 9\11 < g < 5\6 || 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 || -4+5g || -6g+5 || | ||
|| 7L4s || 3\11 < g < 2\7 || 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 || -1+4g || -7g+2 || | ||
|| 8L3s || 4\11 < g < 3\8 || 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 || -1+3g || -8g+3 || | ||
|| 9L2s || 6\11 < g < 5\9 || 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 || -1+2g || -9g+5 || | ||
|| 10L1s || 1\11 < g < 1\10 || 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 || g || -10g+1 || | ||
=12= | =12= | ||
|| Large-small numbers || Generator range || Range of propriety || Range of maximum expressiveness || Large step || Small step || | || Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||
|| 1L11s || 11\12 < g < 1 || 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 || 11g-10 || 1-g || | ||
|| 2L10s || 5\12 < g < 1\2 || 5\12 < g < 6\14 (3\7) || 6\14 (3\7) < g < 7\16 || 5g-2 || 1\2-g || | || 2L10s || 5\12 < g < 1\2 || g = 11\24 || 5\12 < g < 6\14 (3\7) || 6\14 (3\7) < g < 7\16 || 5g-2 || 1\2-g || | ||
|| 3L9s || 3\12 | || 3L9s || 3\12 < g < 3\9 (1\3) || g = 7\24 || 3\12 (1\4) < g < 4\15 || 4\15 < g < 5\18 || 3g-2\3 || 1\3-g || | ||
|| 4L8s || 2\12 (1\6) < g < 1\4 || 2/12 (1\6) < g < 3\16 || 3\16 < g < 4\20 (1\5) || 2g-1\4 || 1\4-g || | || 4L8s || 2\12 (1\6) < g < 1\4 || g = 5\24 || 2/12 (1\6) < g < 3\16 || 3\16 < g < 4\20 (1\5) || 2g-1\4 || 1\4-g || | ||
|| 5L7s || 7\12 < g < 3\5 || 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 || 7g-4 || 3-5g || | ||
|| 6L6s || 1\12 < g < 1\6 || 1\12 < g < 2\18 (1\9) || 2\18 (1\9) < g < 3\24 (1\8) || g || 1\6-g || | || 6L6s || 1\12 < g < 1\6 || g = 3\24 || 1\12 < g < 2\18 (1\9) || 2\18 (1\9) < g < 3\24 (1\8) || g || 1\6-g || | ||
|| 7L5s || 5\12 < g < 3\7 || 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 || 5g-2 || 3-7g || | ||
|| 8L4s || 1\12 < g < 1\8 || 1\12 < g < 2\20 (1\10) || 2\20 (1\10) < g < 3\28 || g || 1\4-2g || | || 8L4s || 1\12 < g < 1\8 || g = 5\48 || 1\12 < g < 2\20 (1\10) || 2\20 (1\10) < g < 3\28 || g || 1\4-2g || | ||
|| 9L3s || 1\12 < g < 1\9 || 1\12 < g < 2\21 || 2\21 < g < 3\30 (1\10) || g || 1\3-3g || | || 9L3s || 1\12 < g < 1\9 || g = 7\72 || 1\12 < g < 2\21 || 2\21 < g < 3\30 (1\10) || g || 1\3-3g || | ||
|| 10L2s || 1\12 < g < 1\10 || 1\12 < g < 2\22 (1\11) || 2\22 (1/11) < g < 3\32 || g || 1\2-5g || | || 10L2s || 1\12 < g < 1\10 || g = 11\120 || 1\12 < g < 2\22 (1\11) || 2\22 (1/11) < g < 3\32 || g || 1\2-5g || | ||
|| 11L1s || 1\12 < g < 1\11 || 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 || g || 1-11g || | ||
=13= | =13= | ||
|| Large-small numbers || Generator range || Range of propriety || Range of maximum expressiveness || Large step || Small step || | || Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||
|| 1L12s || 12\13 < g < 1 || 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 || 12g-11 || 1-g || | ||
|| 2L11s || 6\13 < g < 1\2 || 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 || 11g-5 || 1-2g || | ||
|| 3L10s || 4\13 < g < 1\3 || 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 || 10g-3 || 1-3g || | ||
|| 4L9s || 3\13 < g < 1\4 || 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 || 9g-2 || 1-4g || | ||
|| 5L8s || 5\13 < g < 2\5 || 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 || 8g-3 || 2-5g || | ||
|| 6L7s || 2\13 < g < 1\6 || 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 || 7g-1 || 1-6g || | ||
|| 7L6s || 11\13 < g < 6\7 || 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 || 6g-5 || 6-7g || | ||
|| 8L5s || 8\13 < g < 5\8 || 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 || 5g-3 || 5-8g || | ||
|| 9L4s || 10\13 < g < 7\9 || 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 || 4g-3 || 7-9g || | ||
|| 10L3s || 9\13 < g < 7\10 || 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 || 3g-2 || 7-10g || | ||
|| 11L2s || 7\13 < g < 6\11 || 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 || 2g-1 || 6-11g || | ||
|| 12L1s || 1\13 < g < 1\12 || 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 || g || 1-12g || | ||
=14= | =14= | ||
|| Large-small numbers || Generator range || Range of propriety || Range of maximum expressiveness || Large step || Small step || | || Large-small numbers || Generator range || Midpoint || Range of propriety || Range of maximum expressiveness || Large step || Small step || | ||
|| 1L13s || 13\14 < g < 1 || 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 || -12+13g || -g+1 || | ||
|| 2L12s || 6\14 | || 2L12s || 6\14 < g < 1\2 || g = 13\28 || 6\14 < g < 7\16 || 7\16 < g < 8\18 (4\9) || -5\2+6g || -g+1\2 || | ||
|| 3L11s || 9\14 < g < 2\3 || 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 || -7+11g || -3g+2 || | ||
|| 4L10s || 3\14 < g < 1\4 || 3\14 < g < 4\18 (2\9) || 4\18 (2\9) < g < 5\22 || -1+5g || -2g+1\2 || | || 4L10s || 3\14 < g < 1\4 || g = 13\56 || 3\14 < g < 4\18 (2\9) || 4\18 (2\9) < g < 5\22 || -1+5g || -2g+1\2 || | ||
|| 5L9s || 11\14 < g < 4\5 || 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 || -7+9g || -5g+4 || | ||
|| 6L8s || 2\14 | || 6L8s || 2\14 < g < 1\6 || g = 13\84 || 2\14 < g < 3\20 || 3\20 < g < 4\26 (2\13) || 4g-1\2 || -3g+1\2 || | ||
|| 7L7s || 1\14 < g < 1\7 || 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 || g || -g+1\7 || | ||
|| 8L6s || 5\14 < g < 3\8 || 5\14 < g < 8\22 | || 8L6s || 5\14 < g < 3\8 || g = 41\112 || 5\14 < g < 8\22 || 8\22 < g < 11\30 || -1+3g || -4g+3\2 || | ||
|| 9L5s || 3\14 < g < 2\9 || 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 || -1+5g || -9g+2 || | ||
|| 10L4s || 4\14 | || 10L4s || 4\14 < g < 3\10 || g = 41\140 || 4\14 < g < 7\24 || 7\24 < g < 10\34 (5\17) || -1\2+2g || -5g+3\2 || | ||
|| 11L3s || 5\14 < g < 4\11 || 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 || -1+3g || -11g+4 || | ||
|| 12L2s || 1\14 < g < 1\12 || 1\14 < g < 2\26 (1\13) || 2\26 (1\13) < g < 3\38 || g || -6g+1\2 || | || 12L2s || 1\14 < g < 1\12 || g = 13\168 || 1\14 < g < 2\26 (1\13) || 2\26 (1\13) < g < 3\38 || g || -6g+1\2 || | ||
|| 13L1s || 1\14 < g < 1\13 || 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 || g || -13g+1 || | ||
=15= | =15= | ||
| Line 504: | Line 498: | ||
If the number of the <a class="wiki_link" href="/Interval%20class">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">chroma-positive</a> generator.<br /> | If the number of the <a class="wiki_link" href="/Interval%20class">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">chroma-positive</a> generator.<br /> | ||
<br /> | <br /> | ||
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</td> | </td> | ||
<td>Generator range<br /> | <td>Generator range<br /> | ||
</td> | |||
<td>Midpoint<br /> | |||
</td> | </td> | ||
<td>Range of propriety<br /> | <td>Range of propriety<br /> | ||
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</td> | </td> | ||
<td>1\2 &lt; g &lt; 1<br /> | <td>1\2 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 3\4<br /> | |||
</td> | </td> | ||
<td>1\2 &lt; g &lt; 2\3<br /> | <td>1\2 &lt; g &lt; 2\3<br /> | ||
| Line 534: | Line 532: | ||
</td> | </td> | ||
<td>1-g<br /> | <td>1-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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</td> | </td> | ||
<td>2\3 &lt; g &lt; 1<br /> | <td>2\3 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 5\6<br /> | |||
</td> | </td> | ||
<td>2\3 &lt; g &lt; 3\4<br /> | <td>2\3 &lt; g &lt; 3\4<br /> | ||
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</td> | </td> | ||
<td>1\3 &lt; g &lt; 1\2<br /> | <td>1\3 &lt; g &lt; 1\2<br /> | ||
</td> | |||
<td>g = 5\12<br /> | |||
</td> | </td> | ||
<td>1\3 &lt; g &lt; 2\5<br /> | <td>1\3 &lt; g &lt; 2\5<br /> | ||
| Line 585: | Line 566: | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td> | <td>1L3s<br /> | ||
</td> | </td> | ||
<td> | <td>3\4 &lt; g &lt; 1<br /> | ||
</td> | </td> | ||
<td> | <td>g = 7\8<br /> | ||
</td> | </td> | ||
<td>3\4 &lt; g &lt; 4\5<br /> | |||
<td>3\4 &lt; g &lt; 4\5<br /> | |||
</td> | </td> | ||
<td>4\5 &lt; g &lt; 5\6<br /> | <td>4\5 &lt; g &lt; 5\6<br /> | ||
| Line 624: | Line 586: | ||
</td> | </td> | ||
<td>1\4 &lt; g &lt; 1\2<br /> | <td>1\4 &lt; g &lt; 1\2<br /> | ||
</td> | |||
<td>g = 3\8<br /> | |||
</td> | </td> | ||
<td>1\4 &lt; g &lt; 2\6 (1\3)<br /> | <td>1\4 &lt; g &lt; 2\6 (1\3)<br /> | ||
| Line 638: | Line 602: | ||
</td> | </td> | ||
<td>1\4 &lt; g &lt; 1\3<br /> | <td>1\4 &lt; g &lt; 1\3<br /> | ||
</td> | |||
<td>g = 7\24<br /> | |||
</td> | </td> | ||
<td>1\4 &lt; g &lt; 2\7<br /> | <td>1\4 &lt; g &lt; 2\7<br /> | ||
| Line 651: | Line 617: | ||
<br /> | <br /> | ||
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</td> | </td> | ||
<td>Generator range<br /> | <td>Generator range<br /> | ||
</td> | |||
<td>Midpoint<br /> | |||
</td> | </td> | ||
<td>Range of propriety<br /> | <td>Range of propriety<br /> | ||
| Line 673: | Line 641: | ||
</td> | </td> | ||
<td>4\5 &lt; g &lt; 1<br /> | <td>4\5 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 9\10<br /> | |||
</td> | </td> | ||
<td>4\5 &lt; g &lt; 5\6<br /> | <td>4\5 &lt; g &lt; 5\6<br /> | ||
| Line 687: | Line 657: | ||
</td> | </td> | ||
<td>2\5 &lt; g &lt; 1\2<br /> | <td>2\5 &lt; g &lt; 1\2<br /> | ||
</td> | |||
<td>g = 9\20<br /> | |||
</td> | </td> | ||
<td>2\5 &lt; g &lt; 3\7<br /> | <td>2\5 &lt; g &lt; 3\7<br /> | ||
| Line 701: | Line 673: | ||
</td> | </td> | ||
<td>3\5 &lt; g &lt; 2\3<br /> | <td>3\5 &lt; g &lt; 2\3<br /> | ||
</td> | |||
<td>g = 19\30<br /> | |||
</td> | </td> | ||
<td>3\5 &lt; g &lt; 5\8<br /> | <td>3\5 &lt; g &lt; 5\8<br /> | ||
| Line 715: | Line 689: | ||
</td> | </td> | ||
<td>1\5 &lt; g &lt; 1\4<br /> | <td>1\5 &lt; g &lt; 1\4<br /> | ||
</td> | |||
<td>g =9\40<br /> | |||
</td> | </td> | ||
<td>1\5 &lt; g &lt; 2\9<br /> | <td>1\5 &lt; g &lt; 2\9<br /> | ||
| Line 728: | Line 704: | ||
<br /> | <br /> | ||
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</td> | </td> | ||
<td>Generator range<br /> | <td>Generator range<br /> | ||
</td> | |||
<td>Midpoint<br /> | |||
</td> | </td> | ||
<td>Range of propriety<br /> | <td>Range of propriety<br /> | ||
| Line 750: | Line 728: | ||
</td> | </td> | ||
<td>5\6 &lt; g &lt; 1<br /> | <td>5\6 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 11\12<br /> | |||
</td> | </td> | ||
<td>5\6 &lt; g &lt; 6\7<br /> | <td>5\6 &lt; g &lt; 6\7<br /> | ||
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<td>2L4s<br /> | <td>2L4s<br /> | ||
</td> | </td> | ||
<td>2\6 | <td>2\6 &lt; g &lt; 1\2<br /> | ||
</td> | |||
<td>g = 5\12<br /> | |||
</td> | </td> | ||
<td>2\6 | <td>2\6 &lt; g &lt; 4\10 (2\5)<br /> | ||
</td> | </td> | ||
<td>4\10 (2\5) &lt; g &lt; 5\12<br /> | <td>4\10 (2\5) &lt; g &lt; 5\12<br /> | ||
| Line 778: | Line 760: | ||
</td> | </td> | ||
<td>1\6 &lt; g &lt; 1\3<br /> | <td>1\6 &lt; g &lt; 1\3<br /> | ||
</td> | |||
<td>g = 3\12 (1\4)<br /> | |||
</td> | </td> | ||
<td>1\6 &lt; g &lt; 2\9<br /> | <td>1\6 &lt; g &lt; 2\9<br /> | ||
| Line 792: | Line 776: | ||
</td> | </td> | ||
<td>1\6 &lt; g &lt; 1\4<br /> | <td>1\6 &lt; g &lt; 1\4<br /> | ||
</td> | |||
<td>g = 5\24<br /> | |||
</td> | </td> | ||
<td>1\6 &lt; g &lt; 2\10 (1\5)<br /> | <td>1\6 &lt; g &lt; 2\10 (1\5)<br /> | ||
| Line 806: | Line 792: | ||
</td> | </td> | ||
<td>1\6 &lt; g &lt; 1\5<br /> | <td>1\6 &lt; g &lt; 1\5<br /> | ||
</td> | |||
<td>g = 11\60<br /> | |||
</td> | </td> | ||
<td>1\6 &lt; g &lt; 2\11<br /> | <td>1\6 &lt; g &lt; 2\11<br /> | ||
| Line 819: | Line 807: | ||
<br /> | <br /> | ||
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</td> | </td> | ||
<td>Generator range<br /> | <td>Generator range<br /> | ||
</td> | |||
<td>Midpoint<br /> | |||
</td> | </td> | ||
<td>Range of propriety<br /> | <td>Range of propriety<br /> | ||
| Line 841: | Line 831: | ||
</td> | </td> | ||
<td>6\7 &lt; g &lt; 1<br /> | <td>6\7 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 13\14<br /> | |||
</td> | </td> | ||
<td>6\7 &lt; g &lt; 7\8<br /> | <td>6\7 &lt; g &lt; 7\8<br /> | ||
| Line 855: | Line 847: | ||
</td> | </td> | ||
<td>3\7 &lt; g &lt; 1\2<br /> | <td>3\7 &lt; g &lt; 1\2<br /> | ||
</td> | |||
<td>g = 13\28<br /> | |||
</td> | </td> | ||
<td>3\7 &lt; g &lt; 4\9<br /> | <td>3\7 &lt; g &lt; 4\9<br /> | ||
| Line 869: | Line 863: | ||
</td> | </td> | ||
<td>2\7 &lt; g &lt; 1\3<br /> | <td>2\7 &lt; g &lt; 1\3<br /> | ||
</td> | |||
<td>g = 13\42<br /> | |||
</td> | </td> | ||
<td>2\7 &lt; g &lt; 3\10<br /> | <td>2\7 &lt; g &lt; 3\10<br /> | ||
| Line 883: | Line 879: | ||
</td> | </td> | ||
<td>5\7 &lt; g &lt; 3\4<br /> | <td>5\7 &lt; g &lt; 3\4<br /> | ||
</td> | |||
<td>g = 41\56<br /> | |||
</td> | </td> | ||
<td>5\7 &lt; g &lt; 8\11<br /> | <td>5\7 &lt; g &lt; 8\11<br /> | ||
| Line 897: | Line 895: | ||
</td> | </td> | ||
<td>4\7 &lt; g &lt; 3\5<br /> | <td>4\7 &lt; g &lt; 3\5<br /> | ||
</td> | |||
<td>g = 41\70<br /> | |||
</td> | </td> | ||
<td>4\7 &lt; g &lt; 7\12<br /> | <td>4\7 &lt; g &lt; 7\12<br /> | ||
| Line 911: | Line 911: | ||
</td> | </td> | ||
<td>1\7 &lt; g &lt; 1\6<br /> | <td>1\7 &lt; g &lt; 1\6<br /> | ||
</td> | |||
<td>g = 13\84<br /> | |||
</td> | </td> | ||
<td>1\7 &lt; g &lt; 2\13<br /> | <td>1\7 &lt; g &lt; 2\13<br /> | ||
| Line 924: | Line 926: | ||
<br /> | <br /> | ||
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| Line 932: | Line 934: | ||
</td> | </td> | ||
<td>Generator range<br /> | <td>Generator range<br /> | ||
</td> | |||
<td>Midpoint<br /> | |||
</td> | </td> | ||
<td>Range of propriety<br /> | <td>Range of propriety<br /> | ||
| Line 946: | Line 950: | ||
</td> | </td> | ||
<td>7\8 &lt; g &lt; 1<br /> | <td>7\8 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 15\16<br /> | |||
</td> | </td> | ||
<td>7\8 &lt; g &lt; 8\9<br /> | <td>7\8 &lt; g &lt; 8\9<br /> | ||
| Line 960: | Line 966: | ||
</td> | </td> | ||
<td>3\8 &lt; g &lt; 1\2<br /> | <td>3\8 &lt; g &lt; 1\2<br /> | ||
</td> | |||
<td>g = 7\16<br /> | |||
</td> | </td> | ||
<td>3\8 &lt; g &lt; 4\10 (2\5)<br /> | <td>3\8 &lt; g &lt; 4\10 (2\5)<br /> | ||
| Line 974: | Line 982: | ||
</td> | </td> | ||
<td>5\8 &lt; g &lt; 2\3<br /> | <td>5\8 &lt; g &lt; 2\3<br /> | ||
</td> | |||
<td>g = 31\48<br /> | |||
</td> | </td> | ||
<td>5\8 &lt; g &lt; 7\11<br /> | <td>5\8 &lt; g &lt; 7\11<br /> | ||
| Line 988: | Line 998: | ||
</td> | </td> | ||
<td>1\8 &lt; g &lt; 1\4<br /> | <td>1\8 &lt; g &lt; 1\4<br /> | ||
</td> | |||
<td>g = 3\16<br /> | |||
</td> | </td> | ||
<td>1\8 &lt; g &lt; 2\12 (1\6)<br /> | <td>1\8 &lt; g &lt; 2\12 (1\6)<br /> | ||
| Line 1,002: | Line 1,014: | ||
</td> | </td> | ||
<td>3\8 &lt; g &lt; 2\5<br /> | <td>3\8 &lt; g &lt; 2\5<br /> | ||
</td> | |||
<td>g = 31\80<br /> | |||
</td> | </td> | ||
<td>3\8 &lt; g &lt; 5\13<br /> | <td>3\8 &lt; g &lt; 5\13<br /> | ||
| Line 1,016: | Line 1,030: | ||
</td> | </td> | ||
<td>1\8 &lt; g &lt; 1\6<br /> | <td>1\8 &lt; g &lt; 1\6<br /> | ||
</td> | |||
<td>g = 7\48<br /> | |||
</td> | </td> | ||
<td>1\8 &lt; g &lt; 2\14 (1\7)<br /> | <td>1\8 &lt; g &lt; 2\14 (1\7)<br /> | ||
| Line 1,030: | Line 1,046: | ||
</td> | </td> | ||
<td>1\8 &lt; g &lt; 1\7<br /> | <td>1\8 &lt; g &lt; 1\7<br /> | ||
</td> | |||
<td>g = 15\112<br /> | |||
</td> | </td> | ||
<td>1\8 &lt; g &lt; 2\15<br /> | <td>1\8 &lt; g &lt; 2\15<br /> | ||
| Line 1,043: | Line 1,061: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="x9"></a><!-- ws:end:WikiTextHeadingRule:10 -->9</h1> | ||
| Line 1,051: | Line 1,069: | ||
</td> | </td> | ||
<td>Generator range<br /> | <td>Generator range<br /> | ||
</td> | |||
<td>Midpoint<br /> | |||
</td> | </td> | ||
<td>Range of propriety<br /> | <td>Range of propriety<br /> | ||
| Line 1,065: | Line 1,085: | ||
</td> | </td> | ||
<td>8\9 &lt; g &lt; 1<br /> | <td>8\9 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 17\18<br /> | |||
</td> | </td> | ||
<td>8\9 &lt; g &lt; 9\10<br /> | <td>8\9 &lt; g &lt; 9\10<br /> | ||
| Line 1,079: | Line 1,101: | ||
</td> | </td> | ||
<td>4\9 &lt; g &lt; 1\2<br /> | <td>4\9 &lt; g &lt; 1\2<br /> | ||
</td> | |||
<td>g = 17\36<br /> | |||
</td> | </td> | ||
<td>4\9 &lt; g &lt; 5\11<br /> | <td>4\9 &lt; g &lt; 5\11<br /> | ||
| Line 1,093: | Line 1,117: | ||
</td> | </td> | ||
<td>2\9 &lt; g &lt; 1\3<br /> | <td>2\9 &lt; g &lt; 1\3<br /> | ||
</td> | |||
<td>g = 5\18<br /> | |||
</td> | </td> | ||
<td>2\9 &lt; g &lt; 3\12 (1\4)<br /> | <td>2\9 &lt; g &lt; 3\12 (1\4)<br /> | ||
| Line 1,107: | Line 1,133: | ||
</td> | </td> | ||
<td>2\9 &lt; g &lt; 1\4<br /> | <td>2\9 &lt; g &lt; 1\4<br /> | ||
</td> | |||
<td>g = 17\72<br /> | |||
</td> | </td> | ||
<td>2\9 &lt; g &lt; 3\13<br /> | <td>2\9 &lt; g &lt; 3\13<br /> | ||
| Line 1,121: | Line 1,149: | ||
</td> | </td> | ||
<td>7\9 &lt; g &lt; 4\5<br /> | <td>7\9 &lt; g &lt; 4\5<br /> | ||
</td> | |||
<td>g = 71\90<br /> | |||
</td> | </td> | ||
<td>7\9 &lt; g &lt; 11\14<br /> | <td>7\9 &lt; g &lt; 11\14<br /> | ||
| Line 1,135: | Line 1,165: | ||
</td> | </td> | ||
<td>1\9 &lt; g &lt; 1\6<br /> | <td>1\9 &lt; g &lt; 1\6<br /> | ||
</td> | |||
<td>g = 5\36<br /> | |||
</td> | </td> | ||
<td>1\9 &lt; g &lt; 2\15<br /> | <td>1\9 &lt; g &lt; 2\15<br /> | ||
| Line 1,149: | Line 1,181: | ||
</td> | </td> | ||
<td>5\9 &lt; g &lt; 4\7<br /> | <td>5\9 &lt; g &lt; 4\7<br /> | ||
</td> | |||
<td>g = 71\126<br /> | |||
</td> | </td> | ||
<td>5\9 &lt; g &lt; 9\16<br /> | <td>5\9 &lt; g &lt; 9\16<br /> | ||
| Line 1,163: | Line 1,197: | ||
</td> | </td> | ||
<td>1\9 &lt; g &lt; 1\8<br /> | <td>1\9 &lt; g &lt; 1\8<br /> | ||
</td> | |||
<td>g = 17\144<br /> | |||
</td> | </td> | ||
<td>1\9 &lt; g &lt; 2\17<br /> | <td>1\9 &lt; g &lt; 2\17<br /> | ||
| Line 1,176: | Line 1,212: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="x10"></a><!-- ws:end:WikiTextHeadingRule:12 -->10</h1> | ||
| Line 1,184: | Line 1,220: | ||
</td> | </td> | ||
<td>Generator range<br /> | <td>Generator range<br /> | ||
</td> | |||
<td>Midpoint<br /> | |||
</td> | </td> | ||
<td>Range of propriety<br /> | <td>Range of propriety<br /> | ||
| Line 1,198: | Line 1,236: | ||
</td> | </td> | ||
<td>9\10 &lt; g &lt; 1<br /> | <td>9\10 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 19\20<br /> | |||
</td> | </td> | ||
<td>9\10 &lt; g &lt; 10\11<br /> | <td>9\10 &lt; g &lt; 10\11<br /> | ||
| Line 1,212: | Line 1,252: | ||
</td> | </td> | ||
<td>4\10 (2\5) &lt; g &lt; 1\2<br /> | <td>4\10 (2\5) &lt; g &lt; 1\2<br /> | ||
</td> | |||
<td>g = 9\20<br /> | |||
</td> | </td> | ||
<td>4\10 (2\5) &lt; g &lt; 5\12<br /> | <td>4\10 (2\5) &lt; g &lt; 5\12<br /> | ||
| Line 1,226: | Line 1,268: | ||
</td> | </td> | ||
<td>3\10 &lt; g &lt; 1\3<br /> | <td>3\10 &lt; g &lt; 1\3<br /> | ||
</td> | |||
<td>g = 19\60<br /> | |||
</td> | </td> | ||
<td>3\10 &lt; g &lt; 4\13<br /> | <td>3\10 &lt; g &lt; 4\13<br /> | ||
| Line 1,240: | Line 1,284: | ||
</td> | </td> | ||
<td>2\10 (1\5) &lt; g &lt; 1\4<br /> | <td>2\10 (1\5) &lt; g &lt; 1\4<br /> | ||
</td> | |||
<td>g = 9\40<br /> | |||
</td> | </td> | ||
<td>2\10 (1\5) &lt; g &lt; 3\14<br /> | <td>2\10 (1\5) &lt; g &lt; 3\14<br /> | ||
| Line 1,254: | Line 1,300: | ||
</td> | </td> | ||
<td>1\10 &lt; g &lt; 1\5<br /> | <td>1\10 &lt; g &lt; 1\5<br /> | ||
</td> | |||
<td>g = 3\20<br /> | |||
</td> | </td> | ||
<td>1\10 &lt; g &lt; 2\15<br /> | <td>1\10 &lt; g &lt; 2\15<br /> | ||
| Line 1,268: | Line 1,316: | ||
</td> | </td> | ||
<td>3\10 &lt; g &lt; 2\6 (1\3)<br /> | <td>3\10 &lt; g &lt; 2\6 (1\3)<br /> | ||
</td> | |||
<td>g = 19\60<br /> | |||
</td> | </td> | ||
<td>3\10 &lt; g &lt; 5\16<br /> | <td>3\10 &lt; g &lt; 5\16<br /> | ||
| Line 1,282: | Line 1,332: | ||
</td> | </td> | ||
<td>7\10 &lt; g &lt; 5\7<br /> | <td>7\10 &lt; g &lt; 5\7<br /> | ||
</td> | |||
<td>g = 99\140<br /> | |||
</td> | </td> | ||
<td>7\10 &lt; g &lt; 12\17<br /> | <td>7\10 &lt; g &lt; 12\17<br /> | ||
| Line 1,296: | Line 1,348: | ||
</td> | </td> | ||
<td>1\10 &lt; g &lt; 1\8<br /> | <td>1\10 &lt; g &lt; 1\8<br /> | ||
</td> | |||
<td>g = 9\80<br /> | |||
</td> | </td> | ||
<td>1\10 &lt; g &lt; 2\18 (1\9)<br /> | <td>1\10 &lt; g &lt; 2\18 (1\9)<br /> | ||
| Line 1,310: | Line 1,364: | ||
</td> | </td> | ||
<td>1\10 &lt; g &lt; 1\9<br /> | <td>1\10 &lt; g &lt; 1\9<br /> | ||
</td> | |||
<td>g = 19\180<br /> | |||
</td> | </td> | ||
<td>1\10 &lt; g &lt; 2\19<br /> | <td>1\10 &lt; g &lt; 2\19<br /> | ||
| Line 1,323: | Line 1,379: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="x11"></a><!-- ws:end:WikiTextHeadingRule:14 -->11</h1> | ||
| Line 1,331: | Line 1,387: | ||
</td> | </td> | ||
<td>Generator range<br /> | <td>Generator range<br /> | ||
</td> | |||
<td>Midpoint<br /> | |||
</td> | </td> | ||
<td>Range of propriety<br /> | <td>Range of propriety<br /> | ||
| Line 1,345: | Line 1,403: | ||
</td> | </td> | ||
<td>10\11 &lt; g &lt; 1<br /> | <td>10\11 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 21\22<br /> | |||
</td> | </td> | ||
<td>10\11 &lt; g &lt; 11\12<br /> | <td>10\11 &lt; g &lt; 11\12<br /> | ||
| Line 1,359: | Line 1,419: | ||
</td> | </td> | ||
<td>5\11 &lt; g &lt; 1\2<br /> | <td>5\11 &lt; g &lt; 1\2<br /> | ||
</td> | |||
<td>g = 21\44<br /> | |||
</td> | </td> | ||
<td>5\11 &lt; g &lt; 6\13<br /> | <td>5\11 &lt; g &lt; 6\13<br /> | ||
| Line 1,373: | Line 1,435: | ||
</td> | </td> | ||
<td>7\11 &lt; g &lt; 2\3<br /> | <td>7\11 &lt; g &lt; 2\3<br /> | ||
</td> | |||
<td>g = 43\66<br /> | |||
</td> | </td> | ||
<td>7\11 &lt; g &lt; 9\14<br /> | <td>7\11 &lt; g &lt; 9\14<br /> | ||
| Line 1,387: | Line 1,451: | ||
</td> | </td> | ||
<td>8\11 &lt; g &lt; 3\4<br /> | <td>8\11 &lt; g &lt; 3\4<br /> | ||
</td> | |||
<td>g = 65\88<br /> | |||
</td> | </td> | ||
<td>8\11 &lt; g &lt; 11\15<br /> | <td>8\11 &lt; g &lt; 11\15<br /> | ||
| Line 1,401: | Line 1,467: | ||
</td> | </td> | ||
<td>2\11 &lt; g &lt; 1\5<br /> | <td>2\11 &lt; g &lt; 1\5<br /> | ||
</td> | |||
<td>g = 21\110<br /> | |||
</td> | </td> | ||
<td>2\11 &lt; g &lt; 3\16<br /> | <td>2\11 &lt; g &lt; 3\16<br /> | ||
| Line 1,415: | Line 1,483: | ||
</td> | </td> | ||
<td>9\11 &lt; g &lt; 5\6<br /> | <td>9\11 &lt; g &lt; 5\6<br /> | ||
</td> | |||
<td>g = 109\132<br /> | |||
</td> | </td> | ||
<td>9\11 &lt; g &lt; 14\17<br /> | <td>9\11 &lt; g &lt; 14\17<br /> | ||
| Line 1,429: | Line 1,499: | ||
</td> | </td> | ||
<td>3\11 &lt; g &lt; 2\7<br /> | <td>3\11 &lt; g &lt; 2\7<br /> | ||
</td> | |||
<td>g = 43\154<br /> | |||
</td> | </td> | ||
<td>3\11 &lt; g &lt; 5\18<br /> | <td>3\11 &lt; g &lt; 5\18<br /> | ||
| Line 1,443: | Line 1,515: | ||
</td> | </td> | ||
<td>4\11 &lt; g &lt; 3\8<br /> | <td>4\11 &lt; g &lt; 3\8<br /> | ||
</td> | |||
<td>g = 65\176<br /> | |||
</td> | </td> | ||
<td>4\11 &lt; g &lt; 7\19<br /> | <td>4\11 &lt; g &lt; 7\19<br /> | ||
| Line 1,457: | Line 1,531: | ||
</td> | </td> | ||
<td>6\11 &lt; g &lt; 5\9<br /> | <td>6\11 &lt; g &lt; 5\9<br /> | ||
</td> | |||
<td>g = 109\198<br /> | |||
</td> | </td> | ||
<td>6\11 &lt; g &lt; 11\20<br /> | <td>6\11 &lt; g &lt; 11\20<br /> | ||
| Line 1,471: | Line 1,547: | ||
</td> | </td> | ||
<td>1\11 &lt; g &lt; 1\10<br /> | <td>1\11 &lt; g &lt; 1\10<br /> | ||
</td> | |||
<td>g = 21\220<br /> | |||
</td> | </td> | ||
<td>1\11 &lt; g &lt; 2\21<br /> | <td>1\11 &lt; g &lt; 2\21<br /> | ||
| Line 1,484: | Line 1,562: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="x12"></a><!-- ws:end:WikiTextHeadingRule:16 -->12</h1> | ||
| Line 1,492: | Line 1,570: | ||
</td> | </td> | ||
<td>Generator range<br /> | <td>Generator range<br /> | ||
</td> | |||
<td>Midpoint<br /> | |||
</td> | </td> | ||
<td>Range of propriety<br /> | <td>Range of propriety<br /> | ||
| Line 1,506: | Line 1,586: | ||
</td> | </td> | ||
<td>11\12 &lt; g &lt; 1<br /> | <td>11\12 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 23\24<br /> | |||
</td> | </td> | ||
<td>11\12 &lt; g &lt; 12\13<br /> | <td>11\12 &lt; g &lt; 12\13<br /> | ||
| Line 1,520: | Line 1,602: | ||
</td> | </td> | ||
<td>5\12 &lt; g &lt; 1\2<br /> | <td>5\12 &lt; g &lt; 1\2<br /> | ||
</td> | |||
<td>g = 11\24<br /> | |||
</td> | </td> | ||
<td>5\12 &lt; g &lt; 6\14 (3\7)<br /> | <td>5\12 &lt; g &lt; 6\14 (3\7)<br /> | ||
| Line 1,533: | Line 1,617: | ||
<td>3L9s<br /> | <td>3L9s<br /> | ||
</td> | </td> | ||
<td>3\12 | <td>3\12 &lt; g &lt; 3\9 (1\3)<br /> | ||
</td> | |||
<td>g = 7\24<br /> | |||
</td> | </td> | ||
<td>3\12 (1\4) &lt; g &lt; 4\15<br /> | <td>3\12 (1\4) &lt; g &lt; 4\15<br /> | ||
| Line 1,548: | Line 1,634: | ||
</td> | </td> | ||
<td>2\12 (1\6) &lt; g &lt; 1\4<br /> | <td>2\12 (1\6) &lt; g &lt; 1\4<br /> | ||
</td> | |||
<td>g = 5\24<br /> | |||
</td> | </td> | ||
<td>2/12 (1\6) &lt; g &lt; 3\16<br /> | <td>2/12 (1\6) &lt; g &lt; 3\16<br /> | ||
| Line 1,562: | Line 1,650: | ||
</td> | </td> | ||
<td>7\12 &lt; g &lt; 3\5<br /> | <td>7\12 &lt; g &lt; 3\5<br /> | ||
</td> | |||
<td>g = 71\120<br /> | |||
</td> | </td> | ||
<td>7\12 &lt; g &lt; 10\17<br /> | <td>7\12 &lt; g &lt; 10\17<br /> | ||
| Line 1,576: | Line 1,666: | ||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 1\6<br /> | <td>1\12 &lt; g &lt; 1\6<br /> | ||
</td> | |||
<td>g = 3\24<br /> | |||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 2\18 (1\9)<br /> | <td>1\12 &lt; g &lt; 2\18 (1\9)<br /> | ||
| Line 1,590: | Line 1,682: | ||
</td> | </td> | ||
<td>5\12 &lt; g &lt; 3\7<br /> | <td>5\12 &lt; g &lt; 3\7<br /> | ||
</td> | |||
<td>g = 71\168<br /> | |||
</td> | </td> | ||
<td>5\12 &lt; g &lt; 8\19<br /> | <td>5\12 &lt; g &lt; 8\19<br /> | ||
| Line 1,604: | Line 1,698: | ||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 1\8<br /> | <td>1\12 &lt; g &lt; 1\8<br /> | ||
</td> | |||
<td>g = 5\48<br /> | |||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 2\20 (1\10)<br /> | <td>1\12 &lt; g &lt; 2\20 (1\10)<br /> | ||
| Line 1,618: | Line 1,714: | ||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 1\9<br /> | <td>1\12 &lt; g &lt; 1\9<br /> | ||
</td> | |||
<td>g = 7\72<br /> | |||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 2\21<br /> | <td>1\12 &lt; g &lt; 2\21<br /> | ||
| Line 1,632: | Line 1,730: | ||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 1\10<br /> | <td>1\12 &lt; g &lt; 1\10<br /> | ||
</td> | |||
<td>g = 11\120<br /> | |||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 2\22 (1\11)<br /> | <td>1\12 &lt; g &lt; 2\22 (1\11)<br /> | ||
| Line 1,646: | Line 1,746: | ||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 1\11<br /> | <td>1\12 &lt; g &lt; 1\11<br /> | ||
</td> | |||
<td>g = 23\264<br /> | |||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 2\23<br /> | <td>1\12 &lt; g &lt; 2\23<br /> | ||
| Line 1,659: | Line 1,761: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule: | <!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="x13"></a><!-- ws:end:WikiTextHeadingRule:18 -->13</h1> | ||
| Line 1,667: | Line 1,769: | ||
</td> | </td> | ||
<td>Generator range<br /> | <td>Generator range<br /> | ||
</td> | |||
<td>Midpoint<br /> | |||
</td> | </td> | ||
<td>Range of propriety<br /> | <td>Range of propriety<br /> | ||
| Line 1,681: | Line 1,785: | ||
</td> | </td> | ||
<td>12\13 &lt; g &lt; 1<br /> | <td>12\13 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 25\26<br /> | |||
</td> | </td> | ||
<td>12\13 &lt; g &lt; 13\14<br /> | <td>12\13 &lt; g &lt; 13\14<br /> | ||
| Line 1,695: | Line 1,801: | ||
</td> | </td> | ||
<td>6\13 &lt; g &lt; 1\2<br /> | <td>6\13 &lt; g &lt; 1\2<br /> | ||
</td> | |||
<td>g = 25\52<br /> | |||
</td> | </td> | ||
<td>6\13 &lt; g &lt; 7\15<br /> | <td>6\13 &lt; g &lt; 7\15<br /> | ||
| Line 1,709: | Line 1,817: | ||
</td> | </td> | ||
<td>4\13 &lt; g &lt; 1\3<br /> | <td>4\13 &lt; g &lt; 1\3<br /> | ||
</td> | |||
<td>g = 25\78<br /> | |||
</td> | </td> | ||
<td>4\13 &lt; g &lt; 5\16<br /> | <td>4\13 &lt; g &lt; 5\16<br /> | ||
| Line 1,723: | Line 1,833: | ||
</td> | </td> | ||
<td>3\13 &lt; g &lt; 1\4<br /> | <td>3\13 &lt; g &lt; 1\4<br /> | ||
</td> | |||
<td>g = 25\104<br /> | |||
</td> | </td> | ||
<td>3\13 &lt; g &lt; 4\17<br /> | <td>3\13 &lt; g &lt; 4\17<br /> | ||
| Line 1,737: | Line 1,849: | ||
</td> | </td> | ||
<td>5\13 &lt; g &lt; 2\5<br /> | <td>5\13 &lt; g &lt; 2\5<br /> | ||
</td> | |||
<td>g = 51\130<br /> | |||
</td> | </td> | ||
<td>5\13 &lt; g &lt; 7\18<br /> | <td>5\13 &lt; g &lt; 7\18<br /> | ||
| Line 1,751: | Line 1,865: | ||
</td> | </td> | ||
<td>2\13 &lt; g &lt; 1\6<br /> | <td>2\13 &lt; g &lt; 1\6<br /> | ||
</td> | |||
<td>g = 25\156<br /> | |||
</td> | </td> | ||
<td>2\13 &lt; g &lt; 3\19<br /> | <td>2\13 &lt; g &lt; 3\19<br /> | ||
| Line 1,765: | Line 1,881: | ||
</td> | </td> | ||
<td>11\13 &lt; g &lt; 6\7<br /> | <td>11\13 &lt; g &lt; 6\7<br /> | ||
</td> | |||
<td>g = 155\182<br /> | |||
</td> | </td> | ||
<td>11\13 &lt; g &lt; 17\20<br /> | <td>11\13 &lt; g &lt; 17\20<br /> | ||
| Line 1,779: | Line 1,897: | ||
</td> | </td> | ||
<td>8\13 &lt; g &lt; 5\8<br /> | <td>8\13 &lt; g &lt; 5\8<br /> | ||
</td> | |||
<td>g = 129\208<br /> | |||
</td> | </td> | ||
<td>8\13 &lt; g &lt; 13\21<br /> | <td>8\13 &lt; g &lt; 13\21<br /> | ||
| Line 1,793: | Line 1,913: | ||
</td> | </td> | ||
<td>10\13 &lt; g &lt; 7\9<br /> | <td>10\13 &lt; g &lt; 7\9<br /> | ||
</td> | |||
<td>g = 181\234<br /> | |||
</td> | </td> | ||
<td>10\13 &lt; g &lt; 17\22<br /> | <td>10\13 &lt; g &lt; 17\22<br /> | ||
| Line 1,807: | Line 1,929: | ||
</td> | </td> | ||
<td>9\13 &lt; g &lt; 7\10<br /> | <td>9\13 &lt; g &lt; 7\10<br /> | ||
</td> | |||
<td>g = 181\260<br /> | |||
</td> | </td> | ||
<td>9\13 &lt; g &lt; 16\23<br /> | <td>9\13 &lt; g &lt; 16\23<br /> | ||
| Line 1,821: | Line 1,945: | ||
</td> | </td> | ||
<td>7\13 &lt; g &lt; 6\11<br /> | <td>7\13 &lt; g &lt; 6\11<br /> | ||
</td> | |||
<td>g = 155\286<br /> | |||
</td> | </td> | ||
<td>7\13 &lt; g &lt; 13\24<br /> | <td>7\13 &lt; g &lt; 13\24<br /> | ||
| Line 1,835: | Line 1,961: | ||
</td> | </td> | ||
<td>1\13 &lt; g &lt; 1\12<br /> | <td>1\13 &lt; g &lt; 1\12<br /> | ||
</td> | |||
<td>g = 25\312<br /> | |||
</td> | </td> | ||
<td>1\13 &lt; g &lt; 2\25<br /> | <td>1\13 &lt; g &lt; 2\25<br /> | ||
| Line 1,848: | Line 1,976: | ||
<br /> | <br /> | ||
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</td> | </td> | ||
<td>Generator range<br /> | <td>Generator range<br /> | ||
</td> | |||
<td>Midpoint<br /> | |||
</td> | </td> | ||
<td>Range of propriety<br /> | <td>Range of propriety<br /> | ||
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</td> | </td> | ||
<td>13\14 &lt; g &lt; 1<br /> | <td>13\14 &lt; g &lt; 1<br /> | ||
</td> | |||
<td>g = 27\28<br /> | |||
</td> | </td> | ||
<td>13\14 &lt; g &lt; 14\15<br /> | <td>13\14 &lt; g &lt; 14\15<br /> | ||
| Line 1,883: | Line 2,015: | ||
<td>2L12s<br /> | <td>2L12s<br /> | ||
</td> | </td> | ||
<td>6\14 | <td>6\14 &lt; g &lt; 1\2<br /> | ||
</td> | </td> | ||
<td>6\14 | <td>g = 13\28<br /> | ||
</td> | |||
<td>6\14 &lt; g &lt; 7\16<br /> | |||
</td> | </td> | ||
<td>7\16 &lt; g &lt; 8\18 (4\9)<br /> | <td>7\16 &lt; g &lt; 8\18 (4\9)<br /> | ||
| Line 1,898: | Line 2,032: | ||
</td> | </td> | ||
<td>9\14 &lt; g &lt; 2\3<br /> | <td>9\14 &lt; g &lt; 2\3<br /> | ||
</td> | |||
<td>g = 55\84<br /> | |||
</td> | </td> | ||
<td>9\14 &lt; g &lt; 11\17<br /> | <td>9\14 &lt; g &lt; 11\17<br /> | ||
| Line 1,912: | Line 2,048: | ||
</td> | </td> | ||
<td>3\14 &lt; g &lt; 1\4<br /> | <td>3\14 &lt; g &lt; 1\4<br /> | ||
</td> | |||
<td>g = 13\56<br /> | |||
</td> | </td> | ||
<td>3\14 &lt; g &lt; 4\18 (2\9)<br /> | <td>3\14 &lt; g &lt; 4\18 (2\9)<br /> | ||
| Line 1,926: | Line 2,064: | ||
</td> | </td> | ||
<td>11\14 &lt; g &lt; 4\5<br /> | <td>11\14 &lt; g &lt; 4\5<br /> | ||
</td> | |||
<td>g = 111\140<br /> | |||
</td> | </td> | ||
<td>11\14 &lt; g &lt; 15\19<br /> | <td>11\14 &lt; g &lt; 15\19<br /> | ||
| Line 1,939: | Line 2,079: | ||
<td>6L8s<br /> | <td>6L8s<br /> | ||
</td> | </td> | ||
<td>2\14 | <td>2\14 &lt; g &lt; 1\6<br /> | ||
</td> | |||
<td>g = 13\84<br /> | |||
</td> | </td> | ||
<td>2\14 | <td>2\14 &lt; g &lt; 3\20<br /> | ||
</td> | </td> | ||
<td>3\20 &lt; g &lt; 4\26 (2\13)<br /> | <td>3\20 &lt; g &lt; 4\26 (2\13)<br /> | ||
| Line 1,954: | Line 2,096: | ||
</td> | </td> | ||
<td>1\14 &lt; g &lt; 1\7<br /> | <td>1\14 &lt; g &lt; 1\7<br /> | ||
</td> | |||
<td>g = 3\28<br /> | |||
</td> | </td> | ||
<td>1\14 &lt; g &lt; 2\21<br /> | <td>1\14 &lt; g &lt; 2\21<br /> | ||
| Line 1,969: | Line 2,113: | ||
<td>5\14 &lt; g &lt; 3\8<br /> | <td>5\14 &lt; g &lt; 3\8<br /> | ||
</td> | </td> | ||
<td> | <td>g = 41\112<br /> | ||
</td> | </td> | ||
<td>8\22 | <td>5\14 &lt; g &lt; 8\22<br /> | ||
</td> | |||
<td>8\22 &lt; g &lt; 11\30<br /> | |||
</td> | </td> | ||
<td>-1+3g<br /> | <td>-1+3g<br /> | ||
| Line 1,982: | Line 2,128: | ||
</td> | </td> | ||
<td>3\14 &lt; g &lt; 2\9<br /> | <td>3\14 &lt; g &lt; 2\9<br /> | ||
</td> | |||
<td>g = 55\252<br /> | |||
</td> | </td> | ||
<td>3\14 &lt; g &lt; 5\23<br /> | <td>3\14 &lt; g &lt; 5\23<br /> | ||
| Line 1,995: | Line 2,143: | ||
<td>10L4s<br /> | <td>10L4s<br /> | ||
</td> | </td> | ||
<td>4\14 | <td>4\14 &lt; g &lt; 3\10<br /> | ||
</td> | </td> | ||
<td>4\14 | <td>g = 41\140<br /> | ||
</td> | |||
<td>4\14 &lt; g &lt; 7\24<br /> | |||
</td> | </td> | ||
<td>7\24 &lt; g &lt; 10\34 (5\17)<br /> | <td>7\24 &lt; g &lt; 10\34 (5\17)<br /> | ||
| Line 2,010: | Line 2,160: | ||
</td> | </td> | ||
<td>5\14 &lt; g &lt; 4\11<br /> | <td>5\14 &lt; g &lt; 4\11<br /> | ||
</td> | |||
<td>g = 111\308<br /> | |||
</td> | </td> | ||
<td>5\14 &lt; g &lt; 9\25<br /> | <td>5\14 &lt; g &lt; 9\25<br /> | ||
| Line 2,024: | Line 2,176: | ||
</td> | </td> | ||
<td>1\14 &lt; g &lt; 1\12<br /> | <td>1\14 &lt; g &lt; 1\12<br /> | ||
</td> | |||
<td>g = 13\168<br /> | |||
</td> | </td> | ||
<td>1\14 &lt; g &lt; 2\26 (1\13)<br /> | <td>1\14 &lt; g &lt; 2\26 (1\13)<br /> | ||
| Line 2,038: | Line 2,192: | ||
</td> | </td> | ||
<td>1\14 &lt; g &lt; 1\13<br /> | <td>1\14 &lt; g &lt; 1\13<br /> | ||
</td> | |||
<td>g = 27\364<br /> | |||
</td> | </td> | ||
<td>1\14 &lt; g &lt; 2\27<br /> | <td>1\14 &lt; g &lt; 2\27<br /> | ||
| Line 2,051: | Line 2,207: | ||
<br /> | <br /> | ||
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| Line 3,003: | Line 3,159: | ||
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| Line 4,179: | Line 4,335: | ||
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| Line 4,508: | Line 4,664: | ||
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| Line 4,851: | Line 5,007: | ||
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| Line 5,208: | Line 5,364: | ||
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