Generator ranges of MOS: Difference between revisions
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Wikispaces>genewardsmith **Imported revision 334778896 - Original comment: ** |
Wikispaces>guest **Imported revision 395300060 - 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: | : This revision was by author [[User:guest|guest]] and made on <tt>2013-01-01 20:15:49 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>395300060</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= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L1s || 1\2 < g < 1 || 1\2 < g < 2\3 || g || -g | || 1L1s || 1\2 < g < 1 || 1\2 < g < 2\3 || g || 1-g || | ||
=3= | =3= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L2s || 2\3 < g < 1 || 2\3 < g < 3\4 || -1 | || 1L2s || 2\3 < g < 1 || 2\3 < g < 3\4 || 2g-1 || 1-g || | ||
|| 2L1s || 1\3 < g < 1\2 || 1\3 < g < 2\5 || g || -2g | || 2L1s || 1\3 < g < 1\2 || 1\3 < g < 2\5 || g || 1-2g || | ||
=4= | =4= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L3s || 3\4 < g < 1 || 3\4 < g < 4\5 || -2 | || 1L3s || 3\4 < g < 1 || 3\4 < g < 4\5 || 3g-2 || 1-g || | ||
|| 2L2s || 1\4 < g < 1\2 || 1\4 < g < 1\3 || g || | || 2L2s || 1\4 < g < 1\2 || 1\4 < g < 2\6 (1\3) || g || 1\2-g || | ||
|| 3L1s || 1\4 < g < 1\3 || 1\4 < g < 2\7 || g || 1-3g || | || 3L1s || 1\4 < g < 1\3 || 1\4 < g < 2\7 || g || 1-3g || | ||
=5= | =5= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L4s || 4\5 < g < 1 || 4\5 < g < 5\6 || -3+4g || -g+1 || | || 1L4s || 4\5 < g < 1 || 4\5 < g < 5\6 || -3+4g || -g+1 || | ||
| Line 32: | Line 32: | ||
|| 4L1s || 1\5 < g < 1\4 || 1\5 < g < 2\9 || g || -4g+1 || | || 4L1s || 1\5 < g < 1\4 || 1\5 < g < 2\9 || g || -4g+1 || | ||
=6= | =6= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L5s || 5\6 < g < 1 || 5\6 < g < 6\7 || -4 | || 1L5s || 5\6 < g < 1 || 5\6 < g < 6\7 || 5g-4 || 1-g || | ||
|| 2L4s || 1\3 < g < 1\2 || 1\3 < g < 2\5 || -1\2 | || 2L4s || 2\6 (1\3) < g < 1\2 || 2\6 (1\3) < g < 4\10 (2\5) || 2g-1\2 || 1\2-g || | ||
|| 3L3s || 1\6 < g < 1\3 || 1\6 < g < 2\9 || g || | || 3L3s || 1\6 < g < 1\3 || 1\6 < g < 2\9 || g || 1\3-g || | ||
|| 4L2s || 1\6 < g < 1\4 || 1\6 < g < 1\5 || g || | || 4L2s || 1\6 < g < 1\4 || 1\6 < g < 2\10 (1\5) || g || 1\2-2g || | ||
|| 5L1s || 1\6 < g < 1\5 || 1\6 < g < 2\11 || g || -5g | || 5L1s || 1\6 < g < 1\5 || 1\6 < g < 2\11 || g || 1-5g || | ||
=7= | =7= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L6s || 6\7 < g < 1 || 6\7 < g < 7\8 || -5 | || 1L6s || 6\7 < g < 1 || 6\7 < g < 7\8 || 6g-5 || 1-g || | ||
|| 2L5s || 3\7 < g < 1\2 || 3\7 < g < 4\9 || -2 | || 2L5s || 3\7 < g < 1\2 || 3\7 < g < 4\9 || 5g-2 || 1-2g || | ||
|| 3L4s || 2\7 < g < 1\3 || 2\7 < g < 3\10 || -1 | || 3L4s || 2\7 < g < 1\3 || 2\7 < g < 3\10 || 4g-1 || 1-3g || | ||
|| 4L3s || 5\7 < g < 3\4 || 5\7 < g < 8\11 || -2 | || 4L3s || 5\7 < g < 3\4 || 5\7 < g < 8\11 || 3g-2 || 3-4g || | ||
|| 5L2s || 4\7 < g < 3\5 || 4\7 < g < 7\12 || -1 | || 5L2s || 4\7 < g < 3\5 || 4\7 < g < 7\12 || 2g-1 || 3-5g || | ||
|| 6L1s || 1\7 < g < 1\6 || 1\7 < g < 2\13 || g || -6g | || 6L1s || 1\7 < g < 1\6 || 1\7 < g < 2\13 || g || 1-6g || | ||
=8= | =8= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L7s || 7\8 < g < 1 || 7\8 < g < 8\9 || -6 | || 1L7s || 7\8 < g < 1 || 7\8 < g < 8\9 || 7g-6 || 1-g || | ||
|| 2L6s || 3\8 < g < 1\2 || 3\8 < g < 2\5 || -1 | || 2L6s || 3\8 < g < 1\2 || 3\8 < g < 4\10 (2\5) || 3g-1 || 1\2-g || | ||
|| 3L5s || 5\8 < g < 2\3 || 5\8 < g < 7\11 || -3 | || 3L5s || 5\8 < g < 2\3 || 5\8 < g < 7\11 || 5g-3 || 2-3g || | ||
|| 4L4s || 1\8 < g < 1\4 || 1\8 < g < 1\6 || g || | || 4L4s || 1\8 < g < 1\4 || 1\8 < g < 2\12 (1\6) || g || 1\4-g || | ||
|| 5L3s || 3\8 < g < 2\5 || 3\8 < g < 5\13 || -1 | || 5L3s || 3\8 < g < 2\5 || 3\8 < g < 5\13 || 3g-1 || 2-5g || | ||
|| 6L2s || 1\8 < g < 1\6 || 1\8 < g < 1\7 || g || | || 6L2s || 1\8 < g < 1\6 || 1\8 < g < 2\14 (1\7) || g || 1\2-3g || | ||
|| 7L1s || 1\8 < g < 1\7 || 1\8 < g < 2\15 || g || -7g | || 7L1s || 1\8 < g < 1\7 || 1\8 < g < 2\15 || g || 1-7g || | ||
=9= | =9= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L8s || 8\9 < g < 1 || 8\9 < g < 9\10 || -7 | || 1L8s || 8\9 < g < 1 || 8\9 < g < 9\10 || 8g-7 || 1-g || | ||
|| 2L7s || 4\9 < g < 1\2 || 4\9 < g < 5\11 || -3 | || 2L7s || 4\9 < g < 1\2 || 4\9 < g < 5\11 || 7g-3 || 1-2g || | ||
|| 3L6s || 2\9 < g < 1\3 || 2\9 < g < 1\4 || -1\3 | || 3L6s || 2\9 < g < 1\3 || 2\9 < g < 3\12 (1\4) || 2g-1\3 || 1\3-g || | ||
|| 4L5s || 2\9 < g < 1\4 || 2\9 < g < 3\13 || -1 | || 4L5s || 2\9 < g < 1\4 || 2\9 < g < 3\13 || 5g-1 || 1-4g || | ||
|| 5L4s || 7\9 < g < 4\5 || 7\9 < g < 11\14 || -3 | || 5L4s || 7\9 < g < 4\5 || 7\9 < g < 11\14 || 4g-3 || 4-5g || | ||
|| 6L3s || 1\9 < g < 1\6 || 1\9 < g < 2\15 || g || | || 6L3s || 1\9 < g < 1\6 || 1\9 < g < 2\15 || g || 1\3-2g || | ||
|| 7L2s || 5\9 < g < 4\7 || 5\9 < g < 9\16 || -1 | || 7L2s || 5\9 < g < 4\7 || 5\9 < g < 9\16 || 2g-1 || 4-7g || | ||
|| 8L1s || 1\9 < g < 1\8 || 1\9 < g < 2\17 || g || -8g | || 8L1s || 1\9 < g < 1\8 || 1\9 < g < 2\17 || g || 1-8g || | ||
=10= | =10= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L9s || 9\10 < g < 1 || 9\10 < g < 10\11 || -8+9g || -g+1 || | || 1L9s || 9\10 < g < 1 || 9\10 < g < 10\11 || -8+9g || -g+1 || | ||
| Line 82: | Line 82: | ||
|| 9L1s || 1\10 < g < 1\9 || 1\10 < g < 2\19 || g || -9g+1 || | || 9L1s || 1\10 < g < 1\9 || 1\10 < g < 2\19 || g || -9g+1 || | ||
=11= | =11= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L10s || 10\11 < g < 1 || 10\11 < g < 11\12 || -9+10g || -g+1 || | || 1L10s || 10\11 < g < 1 || 10\11 < g < 11\12 || -9+10g || -g+1 || | ||
| Line 95: | Line 95: | ||
|| 10L1s || 1\11 < g < 1\10 || 1\11 < g < 2\21 || g || -10g+1 || | || 10L1s || 1\11 < g < 1\10 || 1\11 < g < 2\21 || g || -10g+1 || | ||
=12= | =12= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L11s || 11\12 < g < 1 || 11\12 < g < 12\13 || -10 | || 1L11s || 11\12 < g < 1 || 11\12 < g < 12\13 || 11g-10 || 1-g || | ||
|| 2L10s || 5\12 < g < 1\2 || 5\12 < g < 3\7 || -2 | || 2L10s || 5\12 < g < 1\2 || 5\12 < g < 6\14 (3\7) || 5g-2 || 1\2-g || | ||
|| 3L9s || 1\4 < g < 1\3 || 1\4 < g < | || 3L9s || 3\12 (1\4) < g < 1\3 || 3\12 (1\4) < g < 4\15 || 3g-2\3 || 1\3-g || | ||
|| 4L8s || 1\6 < g < 1\4 || 1\6 < g < | || 4L8s || 2\12 (1\6) < g < 1\4 || 2/12 (1\6) < g < 3\16 || 2g-1\4 || 1\4-g || | ||
|| 5L7s || 7\12 < g < 3\5 || 7\12 < g < 10\17 || -4 | || 5L7s || 7\12 < g < 3\5 || 7\12 < g < 10\17 || 7g-4 || 3-5g || | ||
|| 6L6s || 1\12 < g < 1\6 || 1\12 < g < 1\9 || g || | || 6L6s || 1\12 < g < 1\6 || 1\12 < g < 2\18 (1\9) || g || 1\6-g || | ||
|| 7L5s || 5\12 < g < 3\7 || 5\12 < g < 8\19 || -2 | || 7L5s || 5\12 < g < 3\7 || 5\12 < g < 8\19 || 5g-2 || 3-7g || | ||
|| 8L4s || 1\12 < g < 1\8 || 1\12 < g < 1\10 || g || | || 8L4s || 1\12 < g < 1\8 || 1\12 < g < 2\20 (1\10) || g || 1\4-2g || | ||
|| 9L3s || 1\12 < g < 1\9 || 1\12 < g < 2\21 || g || | || 9L3s || 1\12 < g < 1\9 || 1\12 < g < 2\21 || g || 1\3-3g || | ||
|| 10L2s || 1\12 < g < 1\10 || 1\12 < g < 1\11 || g || | || 10L2s || 1\12 < g < 1\10 || 1\12 < g < 2\22 (1\11) || g || 1\2-5g || | ||
|| 11L1s || 1\12 < g < 1\11 || 1\12 < g < 2\23 || g || -11g | || 11L1s || 1\12 < g < 1\11 || 1\12 < g < 2\23 || g || 1-11g || | ||
=13= | =13= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L12s || 12\13 < g < 1 || 12\13 < g < 13\14 || -11 | || 1L12s || 12\13 < g < 1 || 12\13 < g < 13\14 || 12g-11 || 1-g || | ||
|| 2L11s || 6\13 < g < 1\2 || 6\13 < g < 7\15 || -5 | || 2L11s || 6\13 < g < 1\2 || 6\13 < g < 7\15 || 11g-5 || 1-2g || | ||
|| 3L10s || 4\13 < g < 1\3 || 4\13 < g < 5\16 || -3 | || 3L10s || 4\13 < g < 1\3 || 4\13 < g < 5\16 || 10g-3 || 1-3g || | ||
|| 4L9s || 3\13 < g < 1\4 || 3\13 < g < 4\17 || -2 | || 4L9s || 3\13 < g < 1\4 || 3\13 < g < 4\17 || 9g-2 || 1-4g || | ||
|| 5L8s || 5\13 < g < 2\5 || 5\13 < g < 7\18 || -3 | || 5L8s || 5\13 < g < 2\5 || 5\13 < g < 7\18 || 8g-3 || 2-5g || | ||
|| 6L7s || 2\13 < g < 1\6 || 2\13 < g < 3\19 || -1 | || 6L7s || 2\13 < g < 1\6 || 2\13 < g < 3\19 || 7g-1 || 1-6g || | ||
|| 7L6s || 11\13 < g < 6\7 || 11\13 < g < 17\20 || -5 | || 7L6s || 11\13 < g < 6\7 || 11\13 < g < 17\20 || 6g-5 || 6-7g || | ||
|| 8L5s || 8\13 < g < 5\8 || 8\13 < g < 13\21 || -3 | || 8L5s || 8\13 < g < 5\8 || 8\13 < g < 13\21 || 5g-3 || 5-8g || | ||
|| 9L4s || 10\13 < g < 7\9 || 10\13 < g < 17\22 || -3 | || 9L4s || 10\13 < g < 7\9 || 10\13 < g < 17\22 || 4g-3 || 7-9g || | ||
|| 10L3s || 9\13 < g < 7\10 || 9\13 < g < 16\23 || -2 | || 10L3s || 9\13 < g < 7\10 || 9\13 < g < 16\23 || 3g-2 || 7-10g || | ||
|| 11L2s || 7\13 < g < 6\11 || 7\13 < g < 13\24 || -1 | || 11L2s || 7\13 < g < 6\11 || 7\13 < g < 13\24 || 2g-1 || 6-11g || | ||
|| 12L1s || 1\13 < g < 1\12 || 1\13 < g < 2\25 || g || -12g | || 12L1s || 1\13 < g < 1\12 || 1\13 < g < 2\25 || g || 1-12g || | ||
=14= | =14= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L13s || 13\14 < g < 1 || 13\14 < g < 14\15 || -12+13g || -g+1 || | || 1L13s || 13\14 < g < 1 || 13\14 < g < 14\15 || -12+13g || -g+1 || | ||
|| 2L12s || 3\7 < g < 1\2 || 3\7 < g < | || 2L12s || 6\14 (3\7) < g < 1\2 || 6\14 (3\7) < g < 7\16 || -5\2+6g || -g+1\2 || | ||
|| 3L11s || 9\14 < g < 2\3 || 9\14 < g < 11\17 || -7+11g || -3g+2 || | || 3L11s || 9\14 < g < 2\3 || 9\14 < g < 11\17 || -7+11g || -3g+2 || | ||
|| 4L10s || 3\14 < g < 1\4 || 3\14 < g < 2\9 || -1+5g || -2g+1\2 || | || 4L10s || 3\14 < g < 1\4 || 3\14 < g < 4\18 (2\9) || -1+5g || -2g+1\2 || | ||
|| 5L9s || 11\14 < g < 4\5 || 11\14 < g < 15\19 || -7+9g || -5g+4 || | || 5L9s || 11\14 < g < 4\5 || 11\14 < g < 15\19 || -7+9g || -5g+4 || | ||
|| 6L8s || 1\7 < g < 1\6 || 1\7 < g < | || 6L8s || 2\14 (1\7) < g < 1\6 || 1\7 < g < 3\20 || 4g-1\2 || -3g+1\2 || | ||
|| 7L7s || 1\14 < g < 1\7 || 1\14 < g < 2\21 || g || -g+1\7 || | || 7L7s || 1\14 < g < 1\7 || 1\14 < g < 2\21 || g || -g+1\7 || | ||
|| 8L6s || 5\14 < g < 3\8 || 5\14 < g < 4\11 || -1+3g || -4g+3\2 || | || 8L6s || 5\14 < g < 3\8 || 5\14 < g < 8\22 (4\11) || -1+3g || -4g+3\2 || | ||
|| 9L5s || 3\14 < g < 2\9 || 3\14 < g < 5\23 || -1+5g || -9g+2 || | || 9L5s || 3\14 < g < 2\9 || 3\14 < g < 5\23 || -1+5g || -9g+2 || | ||
|| 10L4s || 2\7 < g < 3\10 || 2\7 < g < | || 10L4s || 4\14 (2\7) < g < 3\10 || 4\14 (2\7) < g < 7\24 || -1\2+2g || -5g+3\2 || | ||
|| 11L3s || 5\14 < g < 4\11 || 5\14 < g < 9\25 || -1+3g || -11g+4 || | || 11L3s || 5\14 < g < 4\11 || 5\14 < g < 9\25 || -1+3g || -11g+4 || | ||
|| 12L2s || 1\14 < g < 1\12 || 1\14 < g < 1\13 || g || -6g+1\2 || | || 12L2s || 1\14 < g < 1\12 || 1\14 < g < 2\26 (1\13) || g || -6g+1\2 || | ||
|| 13L1s || 1\14 < g < 1\13 || 1\14 < g < 2\27 || g || -13g+1 || | || 13L1s || 1\14 < g < 1\13 || 1\14 < g < 2\27 || g || -13g+1 || | ||
=15= | =15= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L14s || 14\15 < g < 1 || 14\15 < g < 15\16 || -13+14g || -g+1 || | || 1L14s || 14\15 < g < 1 || 14\15 < g < 15\16 || -13+14g || -g+1 || | ||
| Line 157: | Line 157: | ||
|| 14L1s || 1\15 < g < 1\14 || 1\15 < g < 2\29 || g || -14g+1 || | || 14L1s || 1\15 < g < 1\14 || 1\15 < g < 2\29 || g || -14g+1 || | ||
=16= | =16= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L15s || 15\16 < g < 1 || 15\16 < g < 16\17 || -14+15g || -g+1 || | || 1L15s || 15\16 < g < 1 || 15\16 < g < 16\17 || -14+15g || -g+1 || | ||
| Line 175: | Line 175: | ||
|| 15L1s || 1\16 < g < 1\15 || 1\16 < g < 2\31 || g || -15g+1 || | || 15L1s || 1\16 < g < 1\15 || 1\16 < g < 2\31 || g || -15g+1 || | ||
=17= | =17= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L16s || 16\17 < g < 1 || 16\17 < g < 17\18 || -15+16g || -g+1 || | || 1L16s || 16\17 < g < 1 || 16\17 < g < 17\18 || -15+16g || -g+1 || | ||
| Line 194: | Line 194: | ||
|| 16L1s || 1\17 < g < 1\16 || 1\17 < g < 2\33 || g || -16g+1 || | || 16L1s || 1\17 < g < 1\16 || 1\17 < g < 2\33 || g || -16g+1 || | ||
=18= | =18= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L17s || 17\18 < g < 1 || 17\18 < g < 18\19 || -16+17g || -g+1 || | || 1L17s || 17\18 < g < 1 || 17\18 < g < 18\19 || -16+17g || -g+1 || | ||
| Line 214: | Line 214: | ||
|| 17L1s || 1\18 < g < 1\17 || 1\18 < g < 2\35 || g || -17g+1 || | || 17L1s || 1\18 < g < 1\17 || 1\18 < g < 2\35 || g || -17g+1 || | ||
=19= | =19= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L18s || 18\19 < g < 1 || 18\19 < g < 19\20 || -17+18g || -g+1 || | || 1L18s || 18\19 < g < 1 || 18\19 < g < 19\20 || -17+18g || -g+1 || | ||
| Line 235: | Line 235: | ||
|| 18L1s || 1\19 < g < 1\18 || 1\19 < g < 2\37 || g || -18g+1 || | || 18L1s || 1\19 < g < 1\18 || 1\19 < g < 2\37 || g || -18g+1 || | ||
=20= | =20= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L19s || 19\20 < g < 1 || 19\20 < g < 20\21 || -18+19g || -g+1 || | || 1L19s || 19\20 < g < 1 || 19\20 < g < 20\21 || -18+19g || -g+1 || | ||
| Line 257: | Line 257: | ||
|| 19L1s || 1\20 < g < 1\19 || 1\20 < g < 2\39 || g || -19g+1 || | || 19L1s || 1\20 < g < 1\19 || 1\20 < g < 2\39 || g || -19g+1 || | ||
=21= | =21= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L20s || 20\21 < g < 1 || 20\21 < g < 21\22 || -19+20g || -g+1 || | || 1L20s || 20\21 < g < 1 || 20\21 < g < 21\22 || -19+20g || -g+1 || | ||
| Line 280: | Line 280: | ||
|| 20L1s || 1\21 < g < 1\20 || 1\21 < g < 2\41 || g || -20g+1 || | || 20L1s || 1\21 < g < 1\20 || 1\21 < g < 2\41 || g || -20g+1 || | ||
=22= | =22= | ||
|| Large-small numbers || Generator range || Range of propriety || Large step || Small step || | || Large-small numbers || Generator range || Range of propriety || Large step || Small step || | ||
|| 1L21s || 21\22 < g < 1 || 21\22 < g < 22\23 || -20+21g || -g+1 || | || 1L21s || 21\22 < g < 1 || 21\22 < g < 22\23 || -20+21g || -g+1 || | ||
| Line 302: | Line 302: | ||
|| 19L3s || 15\22 < g < 13\19 || 15\22 < g <28\41 || -2+3g || -19g+13 || | || 19L3s || 15\22 < g < 13\19 || 15\22 < g <28\41 || -2+3g || -19g+13 || | ||
|| 20L2s || 1\22 < g < 1\20 || 1\22 < g < 1\21 || g || -10g+1\2 || | || 20L2s || 1\22 < g < 1\20 || 1\22 < g < 1\21 || g || -10g+1\2 || | ||
|| 21L1s || 1\22 < g < 1\21 || 1\22 < g < 2\43 || g || -21g+1 || | || 21L1s || 1\22 < g < 1\21 || 1\22 < g < 2\43 || g || -21g+1 ||</pre></div> | ||
</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 22. 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 range of propriety, where the proper MOS reside.<br /> | <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 22. 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 range of propriety, where the proper MOS reside.<br /> | ||
| Line 310: | Line 309: | ||
<br /> | <br /> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
| Line 334: | Line 333: | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td>-g | <td>1-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 341: | Line 340: | ||
<br /> | <br /> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
| Line 363: | Line 362: | ||
<td>2\3 &lt; g &lt; 3\4<br /> | <td>2\3 &lt; g &lt; 3\4<br /> | ||
</td> | </td> | ||
<td>-1 | <td>2g-1<br /> | ||
</td> | </td> | ||
<td>-g | <td>1-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 377: | Line 376: | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td>-2g | <td>1-2g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 384: | Line 383: | ||
<br /> | <br /> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
| Line 406: | Line 405: | ||
<td>3\4 &lt; g &lt; 4\5<br /> | <td>3\4 &lt; g &lt; 4\5<br /> | ||
</td> | </td> | ||
<td>-2 | <td>3g-2<br /> | ||
</td> | </td> | ||
<td>-g | <td>1-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 416: | Line 415: | ||
<td>1\4 &lt; g &lt; 1\2<br /> | <td>1\4 &lt; g &lt; 1\2<br /> | ||
</td> | </td> | ||
<td>1\4 &lt; g &lt; 1\3<br /> | <td>1\4 &lt; g &lt; 2\6 (1\3)<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td> | <td>1\2-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 439: | Line 438: | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
| Line 528: | Line 527: | ||
<td>5\6 &lt; g &lt; 6\7<br /> | <td>5\6 &lt; g &lt; 6\7<br /> | ||
</td> | </td> | ||
<td>-4 | <td>5g-4<br /> | ||
</td> | </td> | ||
<td>-g | <td>1-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 536: | Line 535: | ||
<td>2L4s<br /> | <td>2L4s<br /> | ||
</td> | </td> | ||
<td>1\3 &lt; g &lt; 1\2<br /> | <td>2\6 (1\3) &lt; g &lt; 1\2<br /> | ||
</td> | </td> | ||
<td>1\3 &lt; g &lt; 2\5<br /> | <td>2\6 (1\3) &lt; g &lt; 4\10 (2\5)<br /> | ||
</td> | </td> | ||
<td>-1\2 | <td>2g-1\2<br /> | ||
</td> | </td> | ||
<td> | <td>1\2-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 554: | Line 553: | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td> | <td>1\3-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 562: | Line 561: | ||
<td>1\6 &lt; g &lt; 1\4<br /> | <td>1\6 &lt; g &lt; 1\4<br /> | ||
</td> | </td> | ||
<td>1\6 &lt; g &lt; 1\5<br /> | <td>1\6 &lt; g &lt; 2\10 (1\5)<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td> | <td>1\2-2g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 578: | Line 577: | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td>-5g | <td>1-5g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 585: | Line 584: | ||
<br /> | <br /> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
| Line 607: | Line 606: | ||
<td>6\7 &lt; g &lt; 7\8<br /> | <td>6\7 &lt; g &lt; 7\8<br /> | ||
</td> | </td> | ||
<td>-5 | <td>6g-5<br /> | ||
</td> | </td> | ||
<td>-g | <td>1-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 619: | Line 618: | ||
<td>3\7 &lt; g &lt; 4\9<br /> | <td>3\7 &lt; g &lt; 4\9<br /> | ||
</td> | </td> | ||
<td>-2 | <td>5g-2<br /> | ||
</td> | </td> | ||
<td>-2g | <td>1-2g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 631: | Line 630: | ||
<td>2\7 &lt; g &lt; 3\10<br /> | <td>2\7 &lt; g &lt; 3\10<br /> | ||
</td> | </td> | ||
<td>-1 | <td>4g-1<br /> | ||
</td> | </td> | ||
<td>1-3g<br /> | <td>1-3g<br /> | ||
| Line 643: | Line 642: | ||
<td>5\7 &lt; g &lt; 8\11<br /> | <td>5\7 &lt; g &lt; 8\11<br /> | ||
</td> | </td> | ||
<td>-2 | <td>3g-2<br /> | ||
</td> | </td> | ||
<td>-4g | <td>3-4g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 655: | Line 654: | ||
<td>4\7 &lt; g &lt; 7\12<br /> | <td>4\7 &lt; g &lt; 7\12<br /> | ||
</td> | </td> | ||
<td>-1 | <td>2g-1<br /> | ||
</td> | </td> | ||
<td>-5g | <td>3-5g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 669: | Line 668: | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td>-6g | <td>1-6g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 676: | Line 675: | ||
<br /> | <br /> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
| Line 698: | Line 697: | ||
<td>7\8 &lt; g &lt; 8\9<br /> | <td>7\8 &lt; g &lt; 8\9<br /> | ||
</td> | </td> | ||
<td>-6 | <td>7g-6<br /> | ||
</td> | </td> | ||
<td>-g | <td>1-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 708: | Line 707: | ||
<td>3\8 &lt; g &lt; 1\2<br /> | <td>3\8 &lt; g &lt; 1\2<br /> | ||
</td> | </td> | ||
<td>3\8 &lt; g &lt; 2\5<br /> | <td>3\8 &lt; g &lt; 4\10 (2\5)<br /> | ||
</td> | </td> | ||
<td>-1 | <td>3g-1<br /> | ||
</td> | </td> | ||
<td> | <td>1\2-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 722: | Line 721: | ||
<td>5\8 &lt; g &lt; 7\11<br /> | <td>5\8 &lt; g &lt; 7\11<br /> | ||
</td> | </td> | ||
<td>-3 | <td>5g-3<br /> | ||
</td> | </td> | ||
<td>-3g | <td>2-3g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 732: | Line 731: | ||
<td>1\8 &lt; g &lt; 1\4<br /> | <td>1\8 &lt; g &lt; 1\4<br /> | ||
</td> | </td> | ||
<td>1\8 &lt; g &lt; 1\6<br /> | <td>1\8 &lt; g &lt; 2\12 (1\6)<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td> | <td>1\4-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 746: | Line 745: | ||
<td>3\8 &lt; g &lt; 5\13<br /> | <td>3\8 &lt; g &lt; 5\13<br /> | ||
</td> | </td> | ||
<td>-1 | <td>3g-1<br /> | ||
</td> | </td> | ||
<td>-5g | <td>2-5g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 756: | Line 755: | ||
<td>1\8 &lt; g &lt; 1\6<br /> | <td>1\8 &lt; g &lt; 1\6<br /> | ||
</td> | </td> | ||
<td>1\8 &lt; g &lt; 1\7<br /> | <td>1\8 &lt; g &lt; 2\14 (1\7)<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td> | <td>1\2-3g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 772: | Line 771: | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td>-7g | <td>1-7g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 779: | Line 778: | ||
<br /> | <br /> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
| Line 801: | Line 800: | ||
<td>8\9 &lt; g &lt; 9\10<br /> | <td>8\9 &lt; g &lt; 9\10<br /> | ||
</td> | </td> | ||
<td>-7 | <td>8g-7<br /> | ||
</td> | </td> | ||
<td>-g | <td>1-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 813: | Line 812: | ||
<td>4\9 &lt; g &lt; 5\11<br /> | <td>4\9 &lt; g &lt; 5\11<br /> | ||
</td> | </td> | ||
<td>-3 | <td>7g-3<br /> | ||
</td> | </td> | ||
<td>-2g | <td>1-2g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 823: | Line 822: | ||
<td>2\9 &lt; g &lt; 1\3<br /> | <td>2\9 &lt; g &lt; 1\3<br /> | ||
</td> | </td> | ||
<td>2\9 &lt; g &lt; 1\4<br /> | <td>2\9 &lt; g &lt; 3\12 (1\4)<br /> | ||
</td> | </td> | ||
<td>-1\3 | <td>2g-1\3<br /> | ||
</td> | </td> | ||
<td> | <td>1\3-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 837: | Line 836: | ||
<td>2\9 &lt; g &lt; 3\13<br /> | <td>2\9 &lt; g &lt; 3\13<br /> | ||
</td> | </td> | ||
<td>-1 | <td>5g-1<br /> | ||
</td> | </td> | ||
<td>-4g | <td>1-4g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 849: | Line 848: | ||
<td>7\9 &lt; g &lt; 11\14<br /> | <td>7\9 &lt; g &lt; 11\14<br /> | ||
</td> | </td> | ||
<td>-3 | <td>4g-3<br /> | ||
</td> | </td> | ||
<td>-5g | <td>4-5g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 863: | Line 862: | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td> | <td>1\3-2g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 873: | Line 872: | ||
<td>5\9 &lt; g &lt; 9\16<br /> | <td>5\9 &lt; g &lt; 9\16<br /> | ||
</td> | </td> | ||
<td>-1 | <td>2g-1<br /> | ||
</td> | </td> | ||
<td>-7g | <td>4-7g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 887: | Line 886: | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td>-8g | <td>1-8g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 894: | Line 893: | ||
<br /> | <br /> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
| Line 1,021: | Line 1,020: | ||
<br /> | <br /> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
| Line 1,160: | Line 1,159: | ||
<br /> | <br /> | ||
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<table class="wiki_table"> | <table class="wiki_table"> | ||
| Line 1,182: | Line 1,181: | ||
<td>11\12 &lt; g &lt; 12\13<br /> | <td>11\12 &lt; g &lt; 12\13<br /> | ||
</td> | </td> | ||
<td>-10 | <td>11g-10<br /> | ||
</td> | </td> | ||
<td>-g | <td>1-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,192: | Line 1,191: | ||
<td>5\12 &lt; g &lt; 1\2<br /> | <td>5\12 &lt; g &lt; 1\2<br /> | ||
</td> | </td> | ||
<td>5\12 &lt; g &lt; 3\7<br /> | <td>5\12 &lt; g &lt; 6\14 (3\7)<br /> | ||
</td> | </td> | ||
<td>-2 | <td>5g-2<br /> | ||
</td> | </td> | ||
<td> | <td>1\2-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,202: | Line 1,201: | ||
<td>3L9s<br /> | <td>3L9s<br /> | ||
</td> | </td> | ||
<td>1\4 &lt; g &lt; 1\3<br /> | <td>3\12 (1\4) &lt; g &lt; 1\3<br /> | ||
</td> | </td> | ||
<td>1\4 &lt; g &lt; | <td>3\12 (1\4) &lt; g &lt; 4\15<br /> | ||
</td> | </td> | ||
<td>-2\3 | <td>3g-2\3<br /> | ||
</td> | </td> | ||
<td> | <td>1\3-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,214: | Line 1,213: | ||
<td>4L8s<br /> | <td>4L8s<br /> | ||
</td> | </td> | ||
<td>1\6 &lt; g &lt; 1\4<br /> | <td>2\12 (1\6) &lt; g &lt; 1\4<br /> | ||
</td> | </td> | ||
<td>1\6 &lt; g &lt; | <td>2/12 (1\6) &lt; g &lt; 3\16<br /> | ||
</td> | </td> | ||
<td>-1\4 | <td>2g-1\4<br /> | ||
</td> | </td> | ||
<td> | <td>1\4-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,230: | Line 1,229: | ||
<td>7\12 &lt; g &lt; 10\17<br /> | <td>7\12 &lt; g &lt; 10\17<br /> | ||
</td> | </td> | ||
<td>-4 | <td>7g-4<br /> | ||
</td> | </td> | ||
<td>-5g | <td>3-5g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,240: | Line 1,239: | ||
<td>1\12 &lt; g &lt; 1\6<br /> | <td>1\12 &lt; g &lt; 1\6<br /> | ||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 1\9<br /> | <td>1\12 &lt; g &lt; 2\18 (1\9)<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td> | <td>1\6-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,254: | Line 1,253: | ||
<td>5\12 &lt; g &lt; 8\19<br /> | <td>5\12 &lt; g &lt; 8\19<br /> | ||
</td> | </td> | ||
<td>-2 | <td>5g-2<br /> | ||
</td> | </td> | ||
<td>-7g | <td>3-7g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,264: | Line 1,263: | ||
<td>1\12 &lt; g &lt; 1\8<br /> | <td>1\12 &lt; g &lt; 1\8<br /> | ||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 1\10<br /> | <td>1\12 &lt; g &lt; 2\20 (1\10)<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td> | <td>1\4-2g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,280: | Line 1,279: | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td> | <td>1\3-3g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,288: | Line 1,287: | ||
<td>1\12 &lt; g &lt; 1\10<br /> | <td>1\12 &lt; g &lt; 1\10<br /> | ||
</td> | </td> | ||
<td>1\12 &lt; g &lt; 1\11<br /> | <td>1\12 &lt; g &lt; 2\22 (1\11)<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td> | <td>1\2-5g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,304: | Line 1,303: | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td>-11g | <td>1-11g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,311: | Line 1,310: | ||
<br /> | <br /> | ||
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| Line 1,333: | Line 1,332: | ||
<td>12\13 &lt; g &lt; 13\14<br /> | <td>12\13 &lt; g &lt; 13\14<br /> | ||
</td> | </td> | ||
<td>-11 | <td>12g-11<br /> | ||
</td> | </td> | ||
<td>-g | <td>1-g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,345: | Line 1,344: | ||
<td>6\13 &lt; g &lt; 7\15<br /> | <td>6\13 &lt; g &lt; 7\15<br /> | ||
</td> | </td> | ||
<td>-5 | <td>11g-5<br /> | ||
</td> | </td> | ||
<td>-2g | <td>1-2g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,357: | Line 1,356: | ||
<td>4\13 &lt; g &lt; 5\16<br /> | <td>4\13 &lt; g &lt; 5\16<br /> | ||
</td> | </td> | ||
<td>-3 | <td>10g-3<br /> | ||
</td> | </td> | ||
<td>1-3g<br /> | <td>1-3g<br /> | ||
| Line 1,369: | Line 1,368: | ||
<td>3\13 &lt; g &lt; 4\17<br /> | <td>3\13 &lt; g &lt; 4\17<br /> | ||
</td> | </td> | ||
<td>-2 | <td>9g-2<br /> | ||
</td> | </td> | ||
<td>-4g | <td>1-4g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,381: | Line 1,380: | ||
<td>5\13 &lt; g &lt; 7\18<br /> | <td>5\13 &lt; g &lt; 7\18<br /> | ||
</td> | </td> | ||
<td>-3 | <td>8g-3<br /> | ||
</td> | </td> | ||
<td>-5g | <td>2-5g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,393: | Line 1,392: | ||
<td>2\13 &lt; g &lt; 3\19<br /> | <td>2\13 &lt; g &lt; 3\19<br /> | ||
</td> | </td> | ||
<td>-1 | <td>7g-1<br /> | ||
</td> | </td> | ||
<td>-6g | <td>1-6g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,405: | Line 1,404: | ||
<td>11\13 &lt; g &lt; 17\20<br /> | <td>11\13 &lt; g &lt; 17\20<br /> | ||
</td> | </td> | ||
<td>-5 | <td>6g-5<br /> | ||
</td> | </td> | ||
<td>-7g | <td>6-7g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>8\13 &lt; g &lt; 13\21<br /> | <td>8\13 &lt; g &lt; 13\21<br /> | ||
</td> | </td> | ||
<td>-3 | <td>5g-3<br /> | ||
</td> | </td> | ||
<td>-8g | <td>5-8g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,429: | Line 1,428: | ||
<td>10\13 &lt; g &lt; 17\22<br /> | <td>10\13 &lt; g &lt; 17\22<br /> | ||
</td> | </td> | ||
<td>-3 | <td>4g-3<br /> | ||
</td> | </td> | ||
<td>-9g | <td>7-9g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td>9\13 &lt; g &lt; 16\23<br /> | <td>9\13 &lt; g &lt; 16\23<br /> | ||
</td> | </td> | ||
<td>-2 | <td>3g-2<br /> | ||
</td> | </td> | ||
<td>-10g | <td>7-10g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,453: | Line 1,452: | ||
<td>7\13 &lt; g &lt; 13\24<br /> | <td>7\13 &lt; g &lt; 13\24<br /> | ||
</td> | </td> | ||
<td>-1 | <td>2g-1<br /> | ||
</td> | </td> | ||
<td>-11g | <td>6-11g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,467: | Line 1,466: | ||
<td>g<br /> | <td>g<br /> | ||
</td> | </td> | ||
<td>-12g | <td>1-12g<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
| Line 1,474: | Line 1,473: | ||
<br /> | <br /> | ||
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<td>2L12s<br /> | <td>2L12s<br /> | ||
</td> | </td> | ||
<td>3\7 &lt; g &lt; 1\2<br /> | <td>6\14 (3\7) &lt; g &lt; 1\2<br /> | ||
</td> | </td> | ||
<td>3\7 &lt; g &lt; | <td>6\14 (3\7) &lt; g &lt; 7\16<br /> | ||
</td> | </td> | ||
<td>-5\2+6g<br /> | <td>-5\2+6g<br /> | ||
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<td>3\14 &lt; g &lt; 1\4<br /> | <td>3\14 &lt; g &lt; 1\4<br /> | ||
</td> | </td> | ||
<td>3\14 &lt; g &lt; 2\9<br /> | <td>3\14 &lt; g &lt; 4\18 (2\9)<br /> | ||
</td> | </td> | ||
<td>-1+5g<br /> | <td>-1+5g<br /> | ||
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<td>6L8s<br /> | <td>6L8s<br /> | ||
</td> | </td> | ||
<td>1\7 &lt; g &lt; 1\6<br /> | <td>2\14 (1\7) &lt; g &lt; 1\6<br /> | ||
</td> | </td> | ||
<td>1\7 &lt; g &lt; | <td>1\7 &lt; g &lt; 3\20<br /> | ||
</td> | </td> | ||
<td>4g-1\2<br /> | <td>4g-1\2<br /> | ||
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<td>5\14 &lt; g &lt; 3\8<br /> | <td>5\14 &lt; g &lt; 3\8<br /> | ||
</td> | </td> | ||
<td>5\14 &lt; g &lt; 4\11<br /> | <td>5\14 &lt; g &lt; 8\22 (4\11)<br /> | ||
</td> | </td> | ||
<td>-1+3g<br /> | <td>-1+3g<br /> | ||
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<td>10L4s<br /> | <td>10L4s<br /> | ||
</td> | </td> | ||
<td>2\7 &lt; g &lt; 3\10<br /> | <td>4\14 (2\7) &lt; g &lt; 3\10<br /> | ||
</td> | </td> | ||
<td>2\7 &lt; g &lt; | <td>4\14 (2\7) &lt; g &lt; 7\24<br /> | ||
</td> | </td> | ||
<td>-1\2+2g<br /> | <td>-1\2+2g<br /> | ||
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<td>1\14 &lt; g &lt; 1\12<br /> | <td>1\14 &lt; g &lt; 1\12<br /> | ||
</td> | </td> | ||
<td>1\14 &lt; g &lt; 1\13<br /> | <td>1\14 &lt; g &lt; 2\26 (1\13)<br /> | ||
</td> | </td> | ||
<td>g<br /> | <td>g<br /> | ||
| Line 1,649: | Line 1,648: | ||
<br /> | <br /> | ||
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Revision as of 20:15, 1 January 2013
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author guest and made on 2013-01-01 20:15:49 UTC.
- The original revision id was 395300060.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
Below are ranges of generators for various L-s patterns of MOS, with the number of steps in the scale from 2 to 22. 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 range of propriety, where the proper MOS reside. 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= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L1s || 1\2 < g < 1 || 1\2 < g < 2\3 || g || 1-g || =3= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L2s || 2\3 < g < 1 || 2\3 < g < 3\4 || 2g-1 || 1-g || || 2L1s || 1\3 < g < 1\2 || 1\3 < g < 2\5 || g || 1-2g || =4= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L3s || 3\4 < g < 1 || 3\4 < g < 4\5 || 3g-2 || 1-g || || 2L2s || 1\4 < g < 1\2 || 1\4 < g < 2\6 (1\3) || g || 1\2-g || || 3L1s || 1\4 < g < 1\3 || 1\4 < g < 2\7 || g || 1-3g || =5= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L4s || 4\5 < g < 1 || 4\5 < g < 5\6 || -3+4g || -g+1 || || 2L3s || 2\5 < g < 1\2 || 2\5 < g < 3\7 || -1+3g || -2g+1 || || 3L2s || 3\5 < g < 2\3 || 3\5 < g < 5\8 || -1+2g || -3g+2 || || 4L1s || 1\5 < g < 1\4 || 1\5 < g < 2\9 || g || -4g+1 || =6= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L5s || 5\6 < g < 1 || 5\6 < g < 6\7 || 5g-4 || 1-g || || 2L4s || 2\6 (1\3) < g < 1\2 || 2\6 (1\3) < g < 4\10 (2\5) || 2g-1\2 || 1\2-g || || 3L3s || 1\6 < g < 1\3 || 1\6 < g < 2\9 || g || 1\3-g || || 4L2s || 1\6 < g < 1\4 || 1\6 < g < 2\10 (1\5) || g || 1\2-2g || || 5L1s || 1\6 < g < 1\5 || 1\6 < g < 2\11 || g || 1-5g || =7= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L6s || 6\7 < g < 1 || 6\7 < g < 7\8 || 6g-5 || 1-g || || 2L5s || 3\7 < g < 1\2 || 3\7 < g < 4\9 || 5g-2 || 1-2g || || 3L4s || 2\7 < g < 1\3 || 2\7 < g < 3\10 || 4g-1 || 1-3g || || 4L3s || 5\7 < g < 3\4 || 5\7 < g < 8\11 || 3g-2 || 3-4g || || 5L2s || 4\7 < g < 3\5 || 4\7 < g < 7\12 || 2g-1 || 3-5g || || 6L1s || 1\7 < g < 1\6 || 1\7 < g < 2\13 || g || 1-6g || =8= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L7s || 7\8 < g < 1 || 7\8 < g < 8\9 || 7g-6 || 1-g || || 2L6s || 3\8 < g < 1\2 || 3\8 < g < 4\10 (2\5) || 3g-1 || 1\2-g || || 3L5s || 5\8 < g < 2\3 || 5\8 < g < 7\11 || 5g-3 || 2-3g || || 4L4s || 1\8 < g < 1\4 || 1\8 < g < 2\12 (1\6) || g || 1\4-g || || 5L3s || 3\8 < g < 2\5 || 3\8 < g < 5\13 || 3g-1 || 2-5g || || 6L2s || 1\8 < g < 1\6 || 1\8 < g < 2\14 (1\7) || g || 1\2-3g || || 7L1s || 1\8 < g < 1\7 || 1\8 < g < 2\15 || g || 1-7g || =9= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L8s || 8\9 < g < 1 || 8\9 < g < 9\10 || 8g-7 || 1-g || || 2L7s || 4\9 < g < 1\2 || 4\9 < g < 5\11 || 7g-3 || 1-2g || || 3L6s || 2\9 < g < 1\3 || 2\9 < g < 3\12 (1\4) || 2g-1\3 || 1\3-g || || 4L5s || 2\9 < g < 1\4 || 2\9 < g < 3\13 || 5g-1 || 1-4g || || 5L4s || 7\9 < g < 4\5 || 7\9 < g < 11\14 || 4g-3 || 4-5g || || 6L3s || 1\9 < g < 1\6 || 1\9 < g < 2\15 || g || 1\3-2g || || 7L2s || 5\9 < g < 4\7 || 5\9 < g < 9\16 || 2g-1 || 4-7g || || 8L1s || 1\9 < g < 1\8 || 1\9 < g < 2\17 || g || 1-8g || =10= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L9s || 9\10 < g < 1 || 9\10 < g < 10\11 || -8+9g || -g+1 || || 2L8s || 2\5 < g < 1\2 || 2\5 < g < 3\7 || -3\2+4g || -g+1\2 || || 3L7s || 3\10 < g < 1\3 || 3\10 < g < 4\13 || -2+7g || 1-3g || || 4L6s || 1\5 < g < 1\4 || 1\5 < g < 2\9 || 3g-1\2 || -2g+1\2 || || 5L5s || 1\10 < g < 1\5 || 1\10 < g < 2\15 || g || -g+1\5 || || 6L4s || 3\10 < g < 1\3 || 3\10 < g < 4\13 || -1\2+2g || 1-3g || || 7L3s || 7\10 < g < 5\7 || 7\10 < g < 12\17 || -2+3g || -7g+5 || || 8L2s || 1\10 < g < 1\8 || 1\10 < g < 1\9 || g || -4g+1\2 || || 9L1s || 1\10 < g < 1\9 || 1\10 < g < 2\19 || g || -9g+1 || =11= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L10s || 10\11 < g < 1 || 10\11 < g < 11\12 || -9+10g || -g+1 || || 2L9s || 5\11 < g < 1\2 || 5\11 < g < 6\13 || -4+9g || -2g+1 || || 3L8s || 7\11 < g < 2\3 || 7\11 < g < 9\14 || -5+8g || -3g+2 || || 4L7s || 8\11 < g < 3\4 || 8\11 < g < 11\15 || -5+7g || -4g+3 || || 5L6s || 2\11 < g < 1\5 || 2\11 < g < 3\16 || -1+6g || -5g+1 || || 6L5s || 9\11 < g < 5\6 || 9\11 < g < 14\17 || -4+5g || -6g+5 || || 7L4s || 3\11 < g < 2\7 || 3\11 < g < 5\18 || -1+4g || -7g+2 || || 8L3s || 4\11 < g < 3\8 || 4\11 < g < 7\19 || -1+3g || -8g+3 || || 9L2s || 6\11 < g < 5\9 || 6\11 < g < 11\20 || -1+2g || -9g+5 || || 10L1s || 1\11 < g < 1\10 || 1\11 < g < 2\21 || g || -10g+1 || =12= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L11s || 11\12 < g < 1 || 11\12 < g < 12\13 || 11g-10 || 1-g || || 2L10s || 5\12 < g < 1\2 || 5\12 < g < 6\14 (3\7) || 5g-2 || 1\2-g || || 3L9s || 3\12 (1\4) < g < 1\3 || 3\12 (1\4) < g < 4\15 || 3g-2\3 || 1\3-g || || 4L8s || 2\12 (1\6) < g < 1\4 || 2/12 (1\6) < g < 3\16 || 2g-1\4 || 1\4-g || || 5L7s || 7\12 < g < 3\5 || 7\12 < g < 10\17 || 7g-4 || 3-5g || || 6L6s || 1\12 < g < 1\6 || 1\12 < g < 2\18 (1\9) || g || 1\6-g || || 7L5s || 5\12 < g < 3\7 || 5\12 < g < 8\19 || 5g-2 || 3-7g || || 8L4s || 1\12 < g < 1\8 || 1\12 < g < 2\20 (1\10) || g || 1\4-2g || || 9L3s || 1\12 < g < 1\9 || 1\12 < g < 2\21 || g || 1\3-3g || || 10L2s || 1\12 < g < 1\10 || 1\12 < g < 2\22 (1\11) || g || 1\2-5g || || 11L1s || 1\12 < g < 1\11 || 1\12 < g < 2\23 || g || 1-11g || =13= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L12s || 12\13 < g < 1 || 12\13 < g < 13\14 || 12g-11 || 1-g || || 2L11s || 6\13 < g < 1\2 || 6\13 < g < 7\15 || 11g-5 || 1-2g || || 3L10s || 4\13 < g < 1\3 || 4\13 < g < 5\16 || 10g-3 || 1-3g || || 4L9s || 3\13 < g < 1\4 || 3\13 < g < 4\17 || 9g-2 || 1-4g || || 5L8s || 5\13 < g < 2\5 || 5\13 < g < 7\18 || 8g-3 || 2-5g || || 6L7s || 2\13 < g < 1\6 || 2\13 < g < 3\19 || 7g-1 || 1-6g || || 7L6s || 11\13 < g < 6\7 || 11\13 < g < 17\20 || 6g-5 || 6-7g || || 8L5s || 8\13 < g < 5\8 || 8\13 < g < 13\21 || 5g-3 || 5-8g || || 9L4s || 10\13 < g < 7\9 || 10\13 < g < 17\22 || 4g-3 || 7-9g || || 10L3s || 9\13 < g < 7\10 || 9\13 < g < 16\23 || 3g-2 || 7-10g || || 11L2s || 7\13 < g < 6\11 || 7\13 < g < 13\24 || 2g-1 || 6-11g || || 12L1s || 1\13 < g < 1\12 || 1\13 < g < 2\25 || g || 1-12g || =14= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L13s || 13\14 < g < 1 || 13\14 < g < 14\15 || -12+13g || -g+1 || || 2L12s || 6\14 (3\7) < g < 1\2 || 6\14 (3\7) < g < 7\16 || -5\2+6g || -g+1\2 || || 3L11s || 9\14 < g < 2\3 || 9\14 < g < 11\17 || -7+11g || -3g+2 || || 4L10s || 3\14 < g < 1\4 || 3\14 < g < 4\18 (2\9) || -1+5g || -2g+1\2 || || 5L9s || 11\14 < g < 4\5 || 11\14 < g < 15\19 || -7+9g || -5g+4 || || 6L8s || 2\14 (1\7) < g < 1\6 || 1\7 < g < 3\20 || 4g-1\2 || -3g+1\2 || || 7L7s || 1\14 < g < 1\7 || 1\14 < g < 2\21 || g || -g+1\7 || || 8L6s || 5\14 < g < 3\8 || 5\14 < g < 8\22 (4\11) || -1+3g || -4g+3\2 || || 9L5s || 3\14 < g < 2\9 || 3\14 < g < 5\23 || -1+5g || -9g+2 || || 10L4s || 4\14 (2\7) < g < 3\10 || 4\14 (2\7) < g < 7\24 || -1\2+2g || -5g+3\2 || || 11L3s || 5\14 < g < 4\11 || 5\14 < g < 9\25 || -1+3g || -11g+4 || || 12L2s || 1\14 < g < 1\12 || 1\14 < g < 2\26 (1\13) || g || -6g+1\2 || || 13L1s || 1\14 < g < 1\13 || 1\14 < g < 2\27 || g || -13g+1 || =15= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L14s || 14\15 < g < 1 || 14\15 < g < 15\16 || -13+14g || -g+1 || || 2L13s || 7\15 < g < 1\2 || 7\15 < g < 8\17 || -6+13g || -2g+1 || || 3L12s || 4\15 < g < 1\3 || 4\15 < g < 5\18 || -1+4g || -g+1\3 || || 4L11s || 11\15 < g < 3\4 || 11\15 < g < 14\19 || -8+11g || -4g+3 || || 5L10s || 2\15 < g < 1\5 || 2\15 < g < 3\20 || -1\5+2g || -g+1\5 || || 6L9s || 2\15 < g < 1\6 || 2\15 < g < 1\7 || -1\3+3g || -2g+1\3 || || 7L8s || 2\15 < g < 1\7 || 2\15 < g < 3\22 || -1+8g || -7g+1 || || 8L7s || 13\15 < g < 7\8 || 13\15 < g < 20\23 || -6+7g || -8g+7 || || 9L6s || 1\5 < g < 2\9 || 1\5 < g < 3\14 || -1\3+2g || -3g+2\3 || || 10L5s || 1\15 < g < 1\10 || 1\15 < g < 2\25 || g || -2g+1\5 || || 11L4s || 4\15 < g < 3\11 || 4\15 < g < 7\26 || -1+4g || -11g+3 || || 12L3s || 1\15 < g < 1\12 || 1\15 < g < 2\27 || g || -4g+1\3 || || 13L2s || 8\15 < g < 7\13 || 8\15 < g < 15\28 || -1+2g || -13g+7 || || 14L1s || 1\15 < g < 1\14 || 1\15 < g < 2\29 || g || -14g+1 || =16= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L15s || 15\16 < g < 1 || 15\16 < g < 16\17 || -14+15g || -g+1 || || 2L14s || 7\16 < g < 1\2 || 7\16 < g < 4\9 || -3+7g || -g+1\2 || || 3L13s || 5\16 < g < 1\3 || 5\16 < g < 6\19 || -4+13g || 1-3g || || 4L12s || 3\16 < g < 1\4 || 3\16 < g < 1\5 || 3g-1\2 || -g+1\4 || || 5L11s || 3\16 < g < 1\5 || 3\16 < g < 4\21 || -2+11g || -5g+1 || || 6L10s || 5\16 < g < 1\3 || 5\16 < g < 6\19 || -3\2+5g || 1-3g || || 7L9s || 9\16 < g < 4\7 || 9\16 < g < 13\23 || -5+9g || -7g+4 || || 8L8s || 1\16 < g < 1\8 || 1\16 < g < 1\12 || g || -g+1\8 || || 9L7s || 7\16 < g < 4\9 || 7\16 < g < 11\25 || -3+7g || -9g+4 || || 10L6s || 3\16 < g < 1\5 || 3\16 < g < 4\21 || 3g-1\2 || -5g+1 || || 11L5s || 13\16 < g < 9\11 || 13\16 < g < 22\27 || -4+5g || -11g+9 || || 12L4s || 1\16 < g < 1\12 || 1\16 < g < 1\14 || g || -3g+1\4 || || 13L3s || 11\16 < g < 9\13 || 11\16 < g < 20\29 || -2+3g || -13g+9 || || 14L2s || 1\16 < g < 1\14 || 1\16 < g < 1\15 || g || -7g+1\2 || || 15L1s || 1\16 < g < 1\15 || 1\16 < g < 2\31 || g || -15g+1 || =17= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L16s || 16\17 < g < 1 || 16\17 < g < 17\18 || -15+16g || -g+1 || || 2L15s || 8\17 < g < 1\2 || 8\17 < g < 9\19 || -7+15g || -2g+1 || || 3L14s || 11\17 < g < 2\3 || 11\17 < g < 13\20 || -9+14g || -3g+2 || || 4L13s || 4\17 < g < 1\4 || 4\17 < g < 5\21 || -3+13g || -4g+1 || || 5L12s || 10\17 < g < 3\5 || 10\17 < g < 13\22 || -7+12g || -5g+3 || || 6L11s || 14\17 < g < 5\6 || 14\17 < g < 19\23 || -9+11g || -6g+5 || || 7L10s || 12\17 < g < 5\7 || 12\17 < g < 17\24 || -7+10g || -7g+5 || || 8L9s || 2\17 < g < 1\8 || 2\17 < g < 3\25 || -1+9g || -8g+1 || || 9L8s || 15\17 < g < 8\9 || 15\17 < g < 23\26 || -7+8g || -9g+8 || || 10L7s || 5\17 < g < 3\10 || 5\17 < g < 8\27 || -2+7g || -10g+3 || || 11L6s || 3\17 < g < 2\11 || 3\17 < g < 5\28 || -1+6g || -11g+2 || || 12L5s || 7\17 < g < 5\12 || 7\17 < g < 12\29 || -2+5g || -12g+5 || || 13L4s || 13\17 < g < 10\13 || 13\17 < g <23\30 || -3+4g || -13g+10 || || 14L3s || 6\17 < g < 5\14 || 6\17 < g < 11\31 || -1+3g || -14g+5 || || 15L2s || 9\17 < g < 8\15 || 9\17 < g < 17\32 || -1+2g || -15g+8 || || 16L1s || 1\17 < g < 1\16 || 1\17 < g < 2\33 || g || -16g+1 || =18= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L17s || 17\18 < g < 1 || 17\18 < g < 18\19 || -16+17g || -g+1 || || 2L16s || 4\9 < g < 1\2 || 4\9 < g < 5\11 || -7\2+8g || -g+1\2 || || 3L15s || 5\18 < g < 1\3 || 5\18 < g < 2\7 || -4\3+5g || -g+1\3 || || 4L14s || 2\9 < g < 1\4 || 2\9 < g < 3\13 || -3\2+7g || -2g+1\2 || || 5L13s || 7\18 < g < 2\5 || 7\18 < g < 9\23 || -5+13g || -5g+2 || || 6L12s || 1\9 < g < 1\6 || 1\9 < g < 2\15 || -1\6+2g || -g+1\6 || || 7L11s || 5\18 < g < 2\7 || 5\18 < g < 7\25 || -3+11g || -7g+2 || || 8L10s || 1\9 < g < 1\8 || 1\9 < g < 2\17 || -1\2+5g || -4g+1\2 || || 9L9s || 1\18 < g < 1\9 || 1\18 < g < 2\27 || g || -g+1\9 || || 10L8s || 7\18 < g < 2\5 || 7\18 < g < 9\23 || -3\2+4g || -5g+2 || || 11L7s || 13\18 < g < 8\11 || 13\18 < g < 21\29 || -5+7g || -11g+8 || || 12L6s || 1\18 < g < 1\12 || 1\18 < g < 1\15 || g || -2g+1\6 || || 13L5s || 11\18 < g < 8\13 || 11\18 < g < 19\31 || -3+5g || -13g+8 || || 14L4s || 5\18 < g < 2\7 || 5\18 < g < 7\25 || -1\2+2g || -7g+2 || || 15L3s || 1\18 < g < 1\15 || 1\18 < g < 2\33 || g || -5g+1\3 || || 16L2s || 1\18 < g < 1\16 || 1\18 < g < 1\17 || g || -8g+1\2 || || 17L1s || 1\18 < g < 1\17 || 1\18 < g < 2\35 || g || -17g+1 || =19= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L18s || 18\19 < g < 1 || 18\19 < g < 19\20 || -17+18g || -g+1 || || 2L17s || 9\19 < g < 1\2 || 9\19 < g < 10\21 || -8+17g || -2g+1 || || 3L16s || 6\19 < g < 1\3 || 6\19 < g < 7\22 || -5+16g || 1-3g || || 4L15s || 14\19 < g < 3\4 || 14\19 < g < 17\23 || -11+15g || -4g+3 || || 5L14s || 15\19 < g < 4\5 || 15\19 < g < 19\24 || -11+14g || -5g+4 || || 6L13s || 3\19 < g < 1\6 || 3\19 < g < 4\25 || -2+13g || -6g+1 || || 7L12s || 8\19 < g < 3\7 || 8\19 < g < 11\26 || -5+12g || -7g+3 || || 8L11s || 7\19 < g < 3\8 || 7\19 < g < 10\27 || -4+11g || -8g+3 || || 9L10s || 2\19 < g < 1\9 || 2\19 < g < 3\28 || -1+10g || -9g+1 || || 10L9s || 17\19 < g < 9\10 || 17\19 < g < 26\29 || -8+9g || -10g+9 || || 11L8s || 12\19 < g < 7\11 || 12\19 < g < 19\30 || -5+8g || -11g+7 || || 12L7s || 11\19 < g < 7\12 || 11\19 < g < 18\31 || -4+7g || -12g+7 || || 13L6s || 16\19 < g < 11\13 || 16\19 < g < 27\32 || -5+6g || -13g+11 || || 14L5s || 4\19 < g < 3\14 || 4\19 < g < 7\33 || -1+5g || -14g+3 || || 15L4s || 5\19 < g < 4\15 || 5\19 < g < 9\34 || -1+4g || -15g+4 || || 16L3s || 13\19 < g < 11\16 || 13\19 < g < 24\35 || -2+3g || -16g+11 || || 17L2s || 10\19 < g < 9\17 || 10\19 < g < 19\36 || -1+2g || -17g+9 || || 18L1s || 1\19 < g < 1\18 || 1\19 < g < 2\37 || g || -18g+1 || =20= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L19s || 19\20 < g < 1 || 19\20 < g < 20\21 || -18+19g || -g+1 || || 2L18s || 9\20 < g < 1\2 || 9\20 < g < 5\11 || -4+9g || -g+1\2 || || 3L17s || 13\20 < g < 2\3 || 13\20 < g < 15\23 || -11+17g || -3g+2 || || 4L16s || 1\5 < g < 1\4 || 1\5 < g < 2\9 || -3\4+4g || -g+1\4 || || 5L15s || 3\20 < g < 1\5 || 3\20 < g < 4\25 || -2\5+3g || -g+1\5 || || 6L14s || 3\20 < g < 1\6 || 3\20 < g < 2\13 || -1+7g || -3g+1\2 || || 7L13s || 17\20 < g < 6\7 || 17\20 < g < 23\27 || -11+13g || -7g+6 || || 8L12s || 1\10 < g < 1\8 || 1\10 < g < 1\9 || -1\4+3g || -2g+1\4 || || 9L11s || 11\20 < g < 5\9 || 11\20 < g < 16\29 || -6+11g || -9g+5 || || 10L10s || 1\20 < g < 1\10 || 1\20 < g < 1\15 || g || -g+1\10 || || 11L9s || 9\20 < g < 5\11 || 9\20 < g < 14\31 || -4+9g || -11g+5 || || 12L8s || 3\20 < g < 1\6 || 3\20 < g < 2\13 || -1\4+2g || -3g+1\2 || || 13L7s || 3\20 < g < 2\13 || 3\20 < g < 5\33 || -1+7g || -13g+2 || || 14L6s || 7\20 < g < 5\14 || 7\20 < g < 6\17 || -1+3g || -7g+5\2 || || 15L5s || 1\20 < g < 1\15 || 1\20 < g < 2\35 || g || -3g+1\5 || || 16L4s || 1\20 < g < 1\16 || 1\20 < g < 1\18 || g || -4g+1\4 || || 17L3s || 7\20 < g < 6\17 || 7\20 < g < 13\37 || -1+3g || -17g+6 || || 18L2s || 1\20 < g < 1\18 || 1\20 < g < 1\19 || g || -9g+1\2 || || 19L1s || 1\20 < g < 1\19 || 1\20 < g < 2\39 || g || -19g+1 || =21= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L20s || 20\21 < g < 1 || 20\21 < g < 21\22 || -19+20g || -g+1 || || 2L19s || 10\21 < g < 1\2 || 10\21 < g < 11\23 || -9+19g || -2g+1 || || 3L18s || 2\7 < g < 1\3 || 2\7 < g < 3\10 || -5\3+6g || -g+1\3 || || 4L17s || 5\21 < g < 1\4 || 5\21 < g < 6\25 || -4+17g || -4g+1 || || 5L16s || 4\21 < g < 1\5 || 4\21 < g < 5\26 || -3+16g || -5g+1 || || 6L15s || 1\7 < g < 1\6 || 1\7 < g < 2\13 || -2\3+5g || -2g+1\3 || || 7L14s || 2\21 < g < 1\7 || 2\21 < g < 3\28 || -1\7+2g || -g+1\7 || || 8L13s || 13\21 < g < 5\8 || 13\21 < g < 18\29 || -8+13g || -8g+5 || || 9L12s || 2\21 < g < 1\9 || 2\21 < g < 1\10 || -1\3+4g || -3g+1\3 || || 10L11s || 2\21 < g < 1\10 || 2\21 < g < 3\31 || -1+11g || -10g+1 || || 11L10s || 19\21 < g < 10\11 || 19\21 < g < 29\32 || -9+10g || -11g+10 || || 12L9s || 5\21 < g < 1\4 || 5\21 < g < 6\25 || -2\3+3g || -4g+1 || || 13L8s || 8\21 < g < 5\13 || 8\21 < g < 13\34 || -3+8g || -13g+5 || || 14L7s || 1\21 < g < 1\14 || 1\21 < g < 2\35 || g || -2g+1\7 || || 15L6s || 4\21 < g < 1\5 || 4\21 < g < 5\26 || -1\3+2g || -5g+1 || || 16L5s || 17\21 < g < 13\16 || 17\21 < g < 30\37 || -4+5g || -16g+13 || || 17L4s || 16\21 < g < 13\17 || 16\21 < g < 29\38 || -3+4g || -17g+13 || || 18L3s || 1\21 < g < 1\18 || 1\21 < g < 2\39 || g || -6g+1\3 || || 19L2s || 11\21 < g < 10\19 || 11\21 < g < 21\40 || -1+2g || -19g+10 || || 20L1s || 1\21 < g < 1\20 || 1\21 < g < 2\41 || g || -20g+1 || =22= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L21s || 21\22 < g < 1 || 21\22 < g < 22\23 || -20+21g || -g+1 || || 2L20s || 5\11 < g < 1\2 || 5\11 < g < 6\13 || -9\2+10g || -g+1\2 || || 3L19s || 7\22 < g < 1\3 || 7\22 < g < 8\25 || -6+19g || 1-3g || || 4L18s || 5\22 < g < 1\4 || 5\22 < g < 3\13 || -2+9g || -2g+1\2 || || 5L17s || 13\22 < g < 3\5 || 13\22 < g < 16\27 || -10+17g || -5g+3 || || 6L16s || 7\22 < g < 1\3 || 7\22 < g < 8\25 || -5\2+8g || 1-3g || || 7L15s || 3\22 < g < 1\7 || 3\22 < g < 4\29 || -2+15g || -7g+1 || || 8L14s || 4\11 < g < 3\8 || 4\11 < g < 7\19 || -5\2+7g || -4g+3\2 || || 9L13s || 17\22 < g < 7\9 || 17\22 < g < 24\31 || -10+13g || -9g+7 || || 10L12s || 1\11 < g < 1\10 || 1\11 < g < 2\21 || -1\2+6g || -5g+1\2 || || 11L11s || 1\22 < g < 1\11 || 1\22 < g < 2\33 || g || -g+1\11 || || 12L10s || 9\22 < g < 5\12 || 9\22 < g < 7\17 || -2+5g || -6g+5\2 || || 13L9s || 5\22 < g < 3\13 || 5\22 < g < 8\35 || -2+9g || -13g+3 || || 14L8s || 3\22 < g < 1\7 || 3\22 < g < 4\29 || 4g-1\2 || -7g+1 || || 15L7s || 19\22 < g < 13\15 || 19\22 < g < 32\37 || -6+7g || -15g+13 || || 16L6s || 2\11 < g < 3\16 || 2\11 < g < 5\27 || 3g-1\2 || -8g+3\2 || || 17L5s || 9\22 < g < 7\17 || 9\22 < g < 16\39 || -2+5g || -17g+7 || || 18L4s || 3\11 < g < 5\18 || 3\11 < g < 8\29 || -1\2+2g || -9g+5\2 || || 19L3s || 15\22 < g < 13\19 || 15\22 < g <28\41 || -2+3g || -19g+13 || || 20L2s || 1\22 < g < 1\20 || 1\22 < g < 1\21 || g || -10g+1\2 || || 21L1s || 1\22 < g < 1\21 || 1\22 < g < 2\43 || g || -21g+1 ||
Original HTML content:
<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 22. 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 range of propriety, where the proper MOS reside.<br />
<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 > 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 />
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<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L1s<br />
</td>
<td>1\2 < g < 1<br />
</td>
<td>1\2 < g < 2\3<br />
</td>
<td>g<br />
</td>
<td>1-g<br />
</td>
</tr>
</table>
<br />
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<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L2s<br />
</td>
<td>2\3 < g < 1<br />
</td>
<td>2\3 < g < 3\4<br />
</td>
<td>2g-1<br />
</td>
<td>1-g<br />
</td>
</tr>
<tr>
<td>2L1s<br />
</td>
<td>1\3 < g < 1\2<br />
</td>
<td>1\3 < g < 2\5<br />
</td>
<td>g<br />
</td>
<td>1-2g<br />
</td>
</tr>
</table>
<br />
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<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L3s<br />
</td>
<td>3\4 < g < 1<br />
</td>
<td>3\4 < g < 4\5<br />
</td>
<td>3g-2<br />
</td>
<td>1-g<br />
</td>
</tr>
<tr>
<td>2L2s<br />
</td>
<td>1\4 < g < 1\2<br />
</td>
<td>1\4 < g < 2\6 (1\3)<br />
</td>
<td>g<br />
</td>
<td>1\2-g<br />
</td>
</tr>
<tr>
<td>3L1s<br />
</td>
<td>1\4 < g < 1\3<br />
</td>
<td>1\4 < g < 2\7<br />
</td>
<td>g<br />
</td>
<td>1-3g<br />
</td>
</tr>
</table>
<br />
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<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L4s<br />
</td>
<td>4\5 < g < 1<br />
</td>
<td>4\5 < g < 5\6<br />
</td>
<td>-3+4g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L3s<br />
</td>
<td>2\5 < g < 1\2<br />
</td>
<td>2\5 < g < 3\7<br />
</td>
<td>-1+3g<br />
</td>
<td>-2g+1<br />
</td>
</tr>
<tr>
<td>3L2s<br />
</td>
<td>3\5 < g < 2\3<br />
</td>
<td>3\5 < g < 5\8<br />
</td>
<td>-1+2g<br />
</td>
<td>-3g+2<br />
</td>
</tr>
<tr>
<td>4L1s<br />
</td>
<td>1\5 < g < 1\4<br />
</td>
<td>1\5 < g < 2\9<br />
</td>
<td>g<br />
</td>
<td>-4g+1<br />
</td>
</tr>
</table>
<br />
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<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L5s<br />
</td>
<td>5\6 < g < 1<br />
</td>
<td>5\6 < g < 6\7<br />
</td>
<td>5g-4<br />
</td>
<td>1-g<br />
</td>
</tr>
<tr>
<td>2L4s<br />
</td>
<td>2\6 (1\3) < g < 1\2<br />
</td>
<td>2\6 (1\3) < g < 4\10 (2\5)<br />
</td>
<td>2g-1\2<br />
</td>
<td>1\2-g<br />
</td>
</tr>
<tr>
<td>3L3s<br />
</td>
<td>1\6 < g < 1\3<br />
</td>
<td>1\6 < g < 2\9<br />
</td>
<td>g<br />
</td>
<td>1\3-g<br />
</td>
</tr>
<tr>
<td>4L2s<br />
</td>
<td>1\6 < g < 1\4<br />
</td>
<td>1\6 < g < 2\10 (1\5)<br />
</td>
<td>g<br />
</td>
<td>1\2-2g<br />
</td>
</tr>
<tr>
<td>5L1s<br />
</td>
<td>1\6 < g < 1\5<br />
</td>
<td>1\6 < g < 2\11<br />
</td>
<td>g<br />
</td>
<td>1-5g<br />
</td>
</tr>
</table>
<br />
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<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L6s<br />
</td>
<td>6\7 < g < 1<br />
</td>
<td>6\7 < g < 7\8<br />
</td>
<td>6g-5<br />
</td>
<td>1-g<br />
</td>
</tr>
<tr>
<td>2L5s<br />
</td>
<td>3\7 < g < 1\2<br />
</td>
<td>3\7 < g < 4\9<br />
</td>
<td>5g-2<br />
</td>
<td>1-2g<br />
</td>
</tr>
<tr>
<td>3L4s<br />
</td>
<td>2\7 < g < 1\3<br />
</td>
<td>2\7 < g < 3\10<br />
</td>
<td>4g-1<br />
</td>
<td>1-3g<br />
</td>
</tr>
<tr>
<td>4L3s<br />
</td>
<td>5\7 < g < 3\4<br />
</td>
<td>5\7 < g < 8\11<br />
</td>
<td>3g-2<br />
</td>
<td>3-4g<br />
</td>
</tr>
<tr>
<td>5L2s<br />
</td>
<td>4\7 < g < 3\5<br />
</td>
<td>4\7 < g < 7\12<br />
</td>
<td>2g-1<br />
</td>
<td>3-5g<br />
</td>
</tr>
<tr>
<td>6L1s<br />
</td>
<td>1\7 < g < 1\6<br />
</td>
<td>1\7 < g < 2\13<br />
</td>
<td>g<br />
</td>
<td>1-6g<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:12:<h1> --><h1 id="toc6"><a name="x8"></a><!-- ws:end:WikiTextHeadingRule:12 -->8</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L7s<br />
</td>
<td>7\8 < g < 1<br />
</td>
<td>7\8 < g < 8\9<br />
</td>
<td>7g-6<br />
</td>
<td>1-g<br />
</td>
</tr>
<tr>
<td>2L6s<br />
</td>
<td>3\8 < g < 1\2<br />
</td>
<td>3\8 < g < 4\10 (2\5)<br />
</td>
<td>3g-1<br />
</td>
<td>1\2-g<br />
</td>
</tr>
<tr>
<td>3L5s<br />
</td>
<td>5\8 < g < 2\3<br />
</td>
<td>5\8 < g < 7\11<br />
</td>
<td>5g-3<br />
</td>
<td>2-3g<br />
</td>
</tr>
<tr>
<td>4L4s<br />
</td>
<td>1\8 < g < 1\4<br />
</td>
<td>1\8 < g < 2\12 (1\6)<br />
</td>
<td>g<br />
</td>
<td>1\4-g<br />
</td>
</tr>
<tr>
<td>5L3s<br />
</td>
<td>3\8 < g < 2\5<br />
</td>
<td>3\8 < g < 5\13<br />
</td>
<td>3g-1<br />
</td>
<td>2-5g<br />
</td>
</tr>
<tr>
<td>6L2s<br />
</td>
<td>1\8 < g < 1\6<br />
</td>
<td>1\8 < g < 2\14 (1\7)<br />
</td>
<td>g<br />
</td>
<td>1\2-3g<br />
</td>
</tr>
<tr>
<td>7L1s<br />
</td>
<td>1\8 < g < 1\7<br />
</td>
<td>1\8 < g < 2\15<br />
</td>
<td>g<br />
</td>
<td>1-7g<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:14:<h1> --><h1 id="toc7"><a name="x9"></a><!-- ws:end:WikiTextHeadingRule:14 -->9</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L8s<br />
</td>
<td>8\9 < g < 1<br />
</td>
<td>8\9 < g < 9\10<br />
</td>
<td>8g-7<br />
</td>
<td>1-g<br />
</td>
</tr>
<tr>
<td>2L7s<br />
</td>
<td>4\9 < g < 1\2<br />
</td>
<td>4\9 < g < 5\11<br />
</td>
<td>7g-3<br />
</td>
<td>1-2g<br />
</td>
</tr>
<tr>
<td>3L6s<br />
</td>
<td>2\9 < g < 1\3<br />
</td>
<td>2\9 < g < 3\12 (1\4)<br />
</td>
<td>2g-1\3<br />
</td>
<td>1\3-g<br />
</td>
</tr>
<tr>
<td>4L5s<br />
</td>
<td>2\9 < g < 1\4<br />
</td>
<td>2\9 < g < 3\13<br />
</td>
<td>5g-1<br />
</td>
<td>1-4g<br />
</td>
</tr>
<tr>
<td>5L4s<br />
</td>
<td>7\9 < g < 4\5<br />
</td>
<td>7\9 < g < 11\14<br />
</td>
<td>4g-3<br />
</td>
<td>4-5g<br />
</td>
</tr>
<tr>
<td>6L3s<br />
</td>
<td>1\9 < g < 1\6<br />
</td>
<td>1\9 < g < 2\15<br />
</td>
<td>g<br />
</td>
<td>1\3-2g<br />
</td>
</tr>
<tr>
<td>7L2s<br />
</td>
<td>5\9 < g < 4\7<br />
</td>
<td>5\9 < g < 9\16<br />
</td>
<td>2g-1<br />
</td>
<td>4-7g<br />
</td>
</tr>
<tr>
<td>8L1s<br />
</td>
<td>1\9 < g < 1\8<br />
</td>
<td>1\9 < g < 2\17<br />
</td>
<td>g<br />
</td>
<td>1-8g<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:16:<h1> --><h1 id="toc8"><a name="x10"></a><!-- ws:end:WikiTextHeadingRule:16 -->10</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L9s<br />
</td>
<td>9\10 < g < 1<br />
</td>
<td>9\10 < g < 10\11<br />
</td>
<td>-8+9g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L8s<br />
</td>
<td>2\5 < g < 1\2<br />
</td>
<td>2\5 < g < 3\7<br />
</td>
<td>-3\2+4g<br />
</td>
<td>-g+1\2<br />
</td>
</tr>
<tr>
<td>3L7s<br />
</td>
<td>3\10 < g < 1\3<br />
</td>
<td>3\10 < g < 4\13<br />
</td>
<td>-2+7g<br />
</td>
<td>1-3g<br />
</td>
</tr>
<tr>
<td>4L6s<br />
</td>
<td>1\5 < g < 1\4<br />
</td>
<td>1\5 < g < 2\9<br />
</td>
<td>3g-1\2<br />
</td>
<td>-2g+1\2<br />
</td>
</tr>
<tr>
<td>5L5s<br />
</td>
<td>1\10 < g < 1\5<br />
</td>
<td>1\10 < g < 2\15<br />
</td>
<td>g<br />
</td>
<td>-g+1\5<br />
</td>
</tr>
<tr>
<td>6L4s<br />
</td>
<td>3\10 < g < 1\3<br />
</td>
<td>3\10 < g < 4\13<br />
</td>
<td>-1\2+2g<br />
</td>
<td>1-3g<br />
</td>
</tr>
<tr>
<td>7L3s<br />
</td>
<td>7\10 < g < 5\7<br />
</td>
<td>7\10 < g < 12\17<br />
</td>
<td>-2+3g<br />
</td>
<td>-7g+5<br />
</td>
</tr>
<tr>
<td>8L2s<br />
</td>
<td>1\10 < g < 1\8<br />
</td>
<td>1\10 < g < 1\9<br />
</td>
<td>g<br />
</td>
<td>-4g+1\2<br />
</td>
</tr>
<tr>
<td>9L1s<br />
</td>
<td>1\10 < g < 1\9<br />
</td>
<td>1\10 < g < 2\19<br />
</td>
<td>g<br />
</td>
<td>-9g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:18:<h1> --><h1 id="toc9"><a name="x11"></a><!-- ws:end:WikiTextHeadingRule:18 -->11</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L10s<br />
</td>
<td>10\11 < g < 1<br />
</td>
<td>10\11 < g < 11\12<br />
</td>
<td>-9+10g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L9s<br />
</td>
<td>5\11 < g < 1\2<br />
</td>
<td>5\11 < g < 6\13<br />
</td>
<td>-4+9g<br />
</td>
<td>-2g+1<br />
</td>
</tr>
<tr>
<td>3L8s<br />
</td>
<td>7\11 < g < 2\3<br />
</td>
<td>7\11 < g < 9\14<br />
</td>
<td>-5+8g<br />
</td>
<td>-3g+2<br />
</td>
</tr>
<tr>
<td>4L7s<br />
</td>
<td>8\11 < g < 3\4<br />
</td>
<td>8\11 < g < 11\15<br />
</td>
<td>-5+7g<br />
</td>
<td>-4g+3<br />
</td>
</tr>
<tr>
<td>5L6s<br />
</td>
<td>2\11 < g < 1\5<br />
</td>
<td>2\11 < g < 3\16<br />
</td>
<td>-1+6g<br />
</td>
<td>-5g+1<br />
</td>
</tr>
<tr>
<td>6L5s<br />
</td>
<td>9\11 < g < 5\6<br />
</td>
<td>9\11 < g < 14\17<br />
</td>
<td>-4+5g<br />
</td>
<td>-6g+5<br />
</td>
</tr>
<tr>
<td>7L4s<br />
</td>
<td>3\11 < g < 2\7<br />
</td>
<td>3\11 < g < 5\18<br />
</td>
<td>-1+4g<br />
</td>
<td>-7g+2<br />
</td>
</tr>
<tr>
<td>8L3s<br />
</td>
<td>4\11 < g < 3\8<br />
</td>
<td>4\11 < g < 7\19<br />
</td>
<td>-1+3g<br />
</td>
<td>-8g+3<br />
</td>
</tr>
<tr>
<td>9L2s<br />
</td>
<td>6\11 < g < 5\9<br />
</td>
<td>6\11 < g < 11\20<br />
</td>
<td>-1+2g<br />
</td>
<td>-9g+5<br />
</td>
</tr>
<tr>
<td>10L1s<br />
</td>
<td>1\11 < g < 1\10<br />
</td>
<td>1\11 < g < 2\21<br />
</td>
<td>g<br />
</td>
<td>-10g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:20:<h1> --><h1 id="toc10"><a name="x12"></a><!-- ws:end:WikiTextHeadingRule:20 -->12</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L11s<br />
</td>
<td>11\12 < g < 1<br />
</td>
<td>11\12 < g < 12\13<br />
</td>
<td>11g-10<br />
</td>
<td>1-g<br />
</td>
</tr>
<tr>
<td>2L10s<br />
</td>
<td>5\12 < g < 1\2<br />
</td>
<td>5\12 < g < 6\14 (3\7)<br />
</td>
<td>5g-2<br />
</td>
<td>1\2-g<br />
</td>
</tr>
<tr>
<td>3L9s<br />
</td>
<td>3\12 (1\4) < g < 1\3<br />
</td>
<td>3\12 (1\4) < g < 4\15<br />
</td>
<td>3g-2\3<br />
</td>
<td>1\3-g<br />
</td>
</tr>
<tr>
<td>4L8s<br />
</td>
<td>2\12 (1\6) < g < 1\4<br />
</td>
<td>2/12 (1\6) < g < 3\16<br />
</td>
<td>2g-1\4<br />
</td>
<td>1\4-g<br />
</td>
</tr>
<tr>
<td>5L7s<br />
</td>
<td>7\12 < g < 3\5<br />
</td>
<td>7\12 < g < 10\17<br />
</td>
<td>7g-4<br />
</td>
<td>3-5g<br />
</td>
</tr>
<tr>
<td>6L6s<br />
</td>
<td>1\12 < g < 1\6<br />
</td>
<td>1\12 < g < 2\18 (1\9)<br />
</td>
<td>g<br />
</td>
<td>1\6-g<br />
</td>
</tr>
<tr>
<td>7L5s<br />
</td>
<td>5\12 < g < 3\7<br />
</td>
<td>5\12 < g < 8\19<br />
</td>
<td>5g-2<br />
</td>
<td>3-7g<br />
</td>
</tr>
<tr>
<td>8L4s<br />
</td>
<td>1\12 < g < 1\8<br />
</td>
<td>1\12 < g < 2\20 (1\10)<br />
</td>
<td>g<br />
</td>
<td>1\4-2g<br />
</td>
</tr>
<tr>
<td>9L3s<br />
</td>
<td>1\12 < g < 1\9<br />
</td>
<td>1\12 < g < 2\21<br />
</td>
<td>g<br />
</td>
<td>1\3-3g<br />
</td>
</tr>
<tr>
<td>10L2s<br />
</td>
<td>1\12 < g < 1\10<br />
</td>
<td>1\12 < g < 2\22 (1\11)<br />
</td>
<td>g<br />
</td>
<td>1\2-5g<br />
</td>
</tr>
<tr>
<td>11L1s<br />
</td>
<td>1\12 < g < 1\11<br />
</td>
<td>1\12 < g < 2\23<br />
</td>
<td>g<br />
</td>
<td>1-11g<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:22:<h1> --><h1 id="toc11"><a name="x13"></a><!-- ws:end:WikiTextHeadingRule:22 -->13</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L12s<br />
</td>
<td>12\13 < g < 1<br />
</td>
<td>12\13 < g < 13\14<br />
</td>
<td>12g-11<br />
</td>
<td>1-g<br />
</td>
</tr>
<tr>
<td>2L11s<br />
</td>
<td>6\13 < g < 1\2<br />
</td>
<td>6\13 < g < 7\15<br />
</td>
<td>11g-5<br />
</td>
<td>1-2g<br />
</td>
</tr>
<tr>
<td>3L10s<br />
</td>
<td>4\13 < g < 1\3<br />
</td>
<td>4\13 < g < 5\16<br />
</td>
<td>10g-3<br />
</td>
<td>1-3g<br />
</td>
</tr>
<tr>
<td>4L9s<br />
</td>
<td>3\13 < g < 1\4<br />
</td>
<td>3\13 < g < 4\17<br />
</td>
<td>9g-2<br />
</td>
<td>1-4g<br />
</td>
</tr>
<tr>
<td>5L8s<br />
</td>
<td>5\13 < g < 2\5<br />
</td>
<td>5\13 < g < 7\18<br />
</td>
<td>8g-3<br />
</td>
<td>2-5g<br />
</td>
</tr>
<tr>
<td>6L7s<br />
</td>
<td>2\13 < g < 1\6<br />
</td>
<td>2\13 < g < 3\19<br />
</td>
<td>7g-1<br />
</td>
<td>1-6g<br />
</td>
</tr>
<tr>
<td>7L6s<br />
</td>
<td>11\13 < g < 6\7<br />
</td>
<td>11\13 < g < 17\20<br />
</td>
<td>6g-5<br />
</td>
<td>6-7g<br />
</td>
</tr>
<tr>
<td>8L5s<br />
</td>
<td>8\13 < g < 5\8<br />
</td>
<td>8\13 < g < 13\21<br />
</td>
<td>5g-3<br />
</td>
<td>5-8g<br />
</td>
</tr>
<tr>
<td>9L4s<br />
</td>
<td>10\13 < g < 7\9<br />
</td>
<td>10\13 < g < 17\22<br />
</td>
<td>4g-3<br />
</td>
<td>7-9g<br />
</td>
</tr>
<tr>
<td>10L3s<br />
</td>
<td>9\13 < g < 7\10<br />
</td>
<td>9\13 < g < 16\23<br />
</td>
<td>3g-2<br />
</td>
<td>7-10g<br />
</td>
</tr>
<tr>
<td>11L2s<br />
</td>
<td>7\13 < g < 6\11<br />
</td>
<td>7\13 < g < 13\24<br />
</td>
<td>2g-1<br />
</td>
<td>6-11g<br />
</td>
</tr>
<tr>
<td>12L1s<br />
</td>
<td>1\13 < g < 1\12<br />
</td>
<td>1\13 < g < 2\25<br />
</td>
<td>g<br />
</td>
<td>1-12g<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:24:<h1> --><h1 id="toc12"><a name="x14"></a><!-- ws:end:WikiTextHeadingRule:24 -->14</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L13s<br />
</td>
<td>13\14 < g < 1<br />
</td>
<td>13\14 < g < 14\15<br />
</td>
<td>-12+13g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L12s<br />
</td>
<td>6\14 (3\7) < g < 1\2<br />
</td>
<td>6\14 (3\7) < g < 7\16<br />
</td>
<td>-5\2+6g<br />
</td>
<td>-g+1\2<br />
</td>
</tr>
<tr>
<td>3L11s<br />
</td>
<td>9\14 < g < 2\3<br />
</td>
<td>9\14 < g < 11\17<br />
</td>
<td>-7+11g<br />
</td>
<td>-3g+2<br />
</td>
</tr>
<tr>
<td>4L10s<br />
</td>
<td>3\14 < g < 1\4<br />
</td>
<td>3\14 < g < 4\18 (2\9)<br />
</td>
<td>-1+5g<br />
</td>
<td>-2g+1\2<br />
</td>
</tr>
<tr>
<td>5L9s<br />
</td>
<td>11\14 < g < 4\5<br />
</td>
<td>11\14 < g < 15\19<br />
</td>
<td>-7+9g<br />
</td>
<td>-5g+4<br />
</td>
</tr>
<tr>
<td>6L8s<br />
</td>
<td>2\14 (1\7) < g < 1\6<br />
</td>
<td>1\7 < g < 3\20<br />
</td>
<td>4g-1\2<br />
</td>
<td>-3g+1\2<br />
</td>
</tr>
<tr>
<td>7L7s<br />
</td>
<td>1\14 < g < 1\7<br />
</td>
<td>1\14 < g < 2\21<br />
</td>
<td>g<br />
</td>
<td>-g+1\7<br />
</td>
</tr>
<tr>
<td>8L6s<br />
</td>
<td>5\14 < g < 3\8<br />
</td>
<td>5\14 < g < 8\22 (4\11)<br />
</td>
<td>-1+3g<br />
</td>
<td>-4g+3\2<br />
</td>
</tr>
<tr>
<td>9L5s<br />
</td>
<td>3\14 < g < 2\9<br />
</td>
<td>3\14 < g < 5\23<br />
</td>
<td>-1+5g<br />
</td>
<td>-9g+2<br />
</td>
</tr>
<tr>
<td>10L4s<br />
</td>
<td>4\14 (2\7) < g < 3\10<br />
</td>
<td>4\14 (2\7) < g < 7\24<br />
</td>
<td>-1\2+2g<br />
</td>
<td>-5g+3\2<br />
</td>
</tr>
<tr>
<td>11L3s<br />
</td>
<td>5\14 < g < 4\11<br />
</td>
<td>5\14 < g < 9\25<br />
</td>
<td>-1+3g<br />
</td>
<td>-11g+4<br />
</td>
</tr>
<tr>
<td>12L2s<br />
</td>
<td>1\14 < g < 1\12<br />
</td>
<td>1\14 < g < 2\26 (1\13)<br />
</td>
<td>g<br />
</td>
<td>-6g+1\2<br />
</td>
</tr>
<tr>
<td>13L1s<br />
</td>
<td>1\14 < g < 1\13<br />
</td>
<td>1\14 < g < 2\27<br />
</td>
<td>g<br />
</td>
<td>-13g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:26:<h1> --><h1 id="toc13"><a name="x15"></a><!-- ws:end:WikiTextHeadingRule:26 -->15</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L14s<br />
</td>
<td>14\15 < g < 1<br />
</td>
<td>14\15 < g < 15\16<br />
</td>
<td>-13+14g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L13s<br />
</td>
<td>7\15 < g < 1\2<br />
</td>
<td>7\15 < g < 8\17<br />
</td>
<td>-6+13g<br />
</td>
<td>-2g+1<br />
</td>
</tr>
<tr>
<td>3L12s<br />
</td>
<td>4\15 < g < 1\3<br />
</td>
<td>4\15 < g < 5\18<br />
</td>
<td>-1+4g<br />
</td>
<td>-g+1\3<br />
</td>
</tr>
<tr>
<td>4L11s<br />
</td>
<td>11\15 < g < 3\4<br />
</td>
<td>11\15 < g < 14\19<br />
</td>
<td>-8+11g<br />
</td>
<td>-4g+3<br />
</td>
</tr>
<tr>
<td>5L10s<br />
</td>
<td>2\15 < g < 1\5<br />
</td>
<td>2\15 < g < 3\20<br />
</td>
<td>-1\5+2g<br />
</td>
<td>-g+1\5<br />
</td>
</tr>
<tr>
<td>6L9s<br />
</td>
<td>2\15 < g < 1\6<br />
</td>
<td>2\15 < g < 1\7<br />
</td>
<td>-1\3+3g<br />
</td>
<td>-2g+1\3<br />
</td>
</tr>
<tr>
<td>7L8s<br />
</td>
<td>2\15 < g < 1\7<br />
</td>
<td>2\15 < g < 3\22<br />
</td>
<td>-1+8g<br />
</td>
<td>-7g+1<br />
</td>
</tr>
<tr>
<td>8L7s<br />
</td>
<td>13\15 < g < 7\8<br />
</td>
<td>13\15 < g < 20\23<br />
</td>
<td>-6+7g<br />
</td>
<td>-8g+7<br />
</td>
</tr>
<tr>
<td>9L6s<br />
</td>
<td>1\5 < g < 2\9<br />
</td>
<td>1\5 < g < 3\14<br />
</td>
<td>-1\3+2g<br />
</td>
<td>-3g+2\3<br />
</td>
</tr>
<tr>
<td>10L5s<br />
</td>
<td>1\15 < g < 1\10<br />
</td>
<td>1\15 < g < 2\25<br />
</td>
<td>g<br />
</td>
<td>-2g+1\5<br />
</td>
</tr>
<tr>
<td>11L4s<br />
</td>
<td>4\15 < g < 3\11<br />
</td>
<td>4\15 < g < 7\26<br />
</td>
<td>-1+4g<br />
</td>
<td>-11g+3<br />
</td>
</tr>
<tr>
<td>12L3s<br />
</td>
<td>1\15 < g < 1\12<br />
</td>
<td>1\15 < g < 2\27<br />
</td>
<td>g<br />
</td>
<td>-4g+1\3<br />
</td>
</tr>
<tr>
<td>13L2s<br />
</td>
<td>8\15 < g < 7\13<br />
</td>
<td>8\15 < g < 15\28<br />
</td>
<td>-1+2g<br />
</td>
<td>-13g+7<br />
</td>
</tr>
<tr>
<td>14L1s<br />
</td>
<td>1\15 < g < 1\14<br />
</td>
<td>1\15 < g < 2\29<br />
</td>
<td>g<br />
</td>
<td>-14g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:28:<h1> --><h1 id="toc14"><a name="x16"></a><!-- ws:end:WikiTextHeadingRule:28 -->16</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L15s<br />
</td>
<td>15\16 < g < 1<br />
</td>
<td>15\16 < g < 16\17<br />
</td>
<td>-14+15g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L14s<br />
</td>
<td>7\16 < g < 1\2<br />
</td>
<td>7\16 < g < 4\9<br />
</td>
<td>-3+7g<br />
</td>
<td>-g+1\2<br />
</td>
</tr>
<tr>
<td>3L13s<br />
</td>
<td>5\16 < g < 1\3<br />
</td>
<td>5\16 < g < 6\19<br />
</td>
<td>-4+13g<br />
</td>
<td>1-3g<br />
</td>
</tr>
<tr>
<td>4L12s<br />
</td>
<td>3\16 < g < 1\4<br />
</td>
<td>3\16 < g < 1\5<br />
</td>
<td>3g-1\2<br />
</td>
<td>-g+1\4<br />
</td>
</tr>
<tr>
<td>5L11s<br />
</td>
<td>3\16 < g < 1\5<br />
</td>
<td>3\16 < g < 4\21<br />
</td>
<td>-2+11g<br />
</td>
<td>-5g+1<br />
</td>
</tr>
<tr>
<td>6L10s<br />
</td>
<td>5\16 < g < 1\3<br />
</td>
<td>5\16 < g < 6\19<br />
</td>
<td>-3\2+5g<br />
</td>
<td>1-3g<br />
</td>
</tr>
<tr>
<td>7L9s<br />
</td>
<td>9\16 < g < 4\7<br />
</td>
<td>9\16 < g < 13\23<br />
</td>
<td>-5+9g<br />
</td>
<td>-7g+4<br />
</td>
</tr>
<tr>
<td>8L8s<br />
</td>
<td>1\16 < g < 1\8<br />
</td>
<td>1\16 < g < 1\12<br />
</td>
<td>g<br />
</td>
<td>-g+1\8<br />
</td>
</tr>
<tr>
<td>9L7s<br />
</td>
<td>7\16 < g < 4\9<br />
</td>
<td>7\16 < g < 11\25<br />
</td>
<td>-3+7g<br />
</td>
<td>-9g+4<br />
</td>
</tr>
<tr>
<td>10L6s<br />
</td>
<td>3\16 < g < 1\5<br />
</td>
<td>3\16 < g < 4\21<br />
</td>
<td>3g-1\2<br />
</td>
<td>-5g+1<br />
</td>
</tr>
<tr>
<td>11L5s<br />
</td>
<td>13\16 < g < 9\11<br />
</td>
<td>13\16 < g < 22\27<br />
</td>
<td>-4+5g<br />
</td>
<td>-11g+9<br />
</td>
</tr>
<tr>
<td>12L4s<br />
</td>
<td>1\16 < g < 1\12<br />
</td>
<td>1\16 < g < 1\14<br />
</td>
<td>g<br />
</td>
<td>-3g+1\4<br />
</td>
</tr>
<tr>
<td>13L3s<br />
</td>
<td>11\16 < g < 9\13<br />
</td>
<td>11\16 < g < 20\29<br />
</td>
<td>-2+3g<br />
</td>
<td>-13g+9<br />
</td>
</tr>
<tr>
<td>14L2s<br />
</td>
<td>1\16 < g < 1\14<br />
</td>
<td>1\16 < g < 1\15<br />
</td>
<td>g<br />
</td>
<td>-7g+1\2<br />
</td>
</tr>
<tr>
<td>15L1s<br />
</td>
<td>1\16 < g < 1\15<br />
</td>
<td>1\16 < g < 2\31<br />
</td>
<td>g<br />
</td>
<td>-15g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:30:<h1> --><h1 id="toc15"><a name="x17"></a><!-- ws:end:WikiTextHeadingRule:30 -->17</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L16s<br />
</td>
<td>16\17 < g < 1<br />
</td>
<td>16\17 < g < 17\18<br />
</td>
<td>-15+16g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L15s<br />
</td>
<td>8\17 < g < 1\2<br />
</td>
<td>8\17 < g < 9\19<br />
</td>
<td>-7+15g<br />
</td>
<td>-2g+1<br />
</td>
</tr>
<tr>
<td>3L14s<br />
</td>
<td>11\17 < g < 2\3<br />
</td>
<td>11\17 < g < 13\20<br />
</td>
<td>-9+14g<br />
</td>
<td>-3g+2<br />
</td>
</tr>
<tr>
<td>4L13s<br />
</td>
<td>4\17 < g < 1\4<br />
</td>
<td>4\17 < g < 5\21<br />
</td>
<td>-3+13g<br />
</td>
<td>-4g+1<br />
</td>
</tr>
<tr>
<td>5L12s<br />
</td>
<td>10\17 < g < 3\5<br />
</td>
<td>10\17 < g < 13\22<br />
</td>
<td>-7+12g<br />
</td>
<td>-5g+3<br />
</td>
</tr>
<tr>
<td>6L11s<br />
</td>
<td>14\17 < g < 5\6<br />
</td>
<td>14\17 < g < 19\23<br />
</td>
<td>-9+11g<br />
</td>
<td>-6g+5<br />
</td>
</tr>
<tr>
<td>7L10s<br />
</td>
<td>12\17 < g < 5\7<br />
</td>
<td>12\17 < g < 17\24<br />
</td>
<td>-7+10g<br />
</td>
<td>-7g+5<br />
</td>
</tr>
<tr>
<td>8L9s<br />
</td>
<td>2\17 < g < 1\8<br />
</td>
<td>2\17 < g < 3\25<br />
</td>
<td>-1+9g<br />
</td>
<td>-8g+1<br />
</td>
</tr>
<tr>
<td>9L8s<br />
</td>
<td>15\17 < g < 8\9<br />
</td>
<td>15\17 < g < 23\26<br />
</td>
<td>-7+8g<br />
</td>
<td>-9g+8<br />
</td>
</tr>
<tr>
<td>10L7s<br />
</td>
<td>5\17 < g < 3\10<br />
</td>
<td>5\17 < g < 8\27<br />
</td>
<td>-2+7g<br />
</td>
<td>-10g+3<br />
</td>
</tr>
<tr>
<td>11L6s<br />
</td>
<td>3\17 < g < 2\11<br />
</td>
<td>3\17 < g < 5\28<br />
</td>
<td>-1+6g<br />
</td>
<td>-11g+2<br />
</td>
</tr>
<tr>
<td>12L5s<br />
</td>
<td>7\17 < g < 5\12<br />
</td>
<td>7\17 < g < 12\29<br />
</td>
<td>-2+5g<br />
</td>
<td>-12g+5<br />
</td>
</tr>
<tr>
<td>13L4s<br />
</td>
<td>13\17 < g < 10\13<br />
</td>
<td>13\17 < g <23\30<br />
</td>
<td>-3+4g<br />
</td>
<td>-13g+10<br />
</td>
</tr>
<tr>
<td>14L3s<br />
</td>
<td>6\17 < g < 5\14<br />
</td>
<td>6\17 < g < 11\31<br />
</td>
<td>-1+3g<br />
</td>
<td>-14g+5<br />
</td>
</tr>
<tr>
<td>15L2s<br />
</td>
<td>9\17 < g < 8\15<br />
</td>
<td>9\17 < g < 17\32<br />
</td>
<td>-1+2g<br />
</td>
<td>-15g+8<br />
</td>
</tr>
<tr>
<td>16L1s<br />
</td>
<td>1\17 < g < 1\16<br />
</td>
<td>1\17 < g < 2\33<br />
</td>
<td>g<br />
</td>
<td>-16g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:32:<h1> --><h1 id="toc16"><a name="x18"></a><!-- ws:end:WikiTextHeadingRule:32 -->18</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L17s<br />
</td>
<td>17\18 < g < 1<br />
</td>
<td>17\18 < g < 18\19<br />
</td>
<td>-16+17g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L16s<br />
</td>
<td>4\9 < g < 1\2<br />
</td>
<td>4\9 < g < 5\11<br />
</td>
<td>-7\2+8g<br />
</td>
<td>-g+1\2<br />
</td>
</tr>
<tr>
<td>3L15s<br />
</td>
<td>5\18 < g < 1\3<br />
</td>
<td>5\18 < g < 2\7<br />
</td>
<td>-4\3+5g<br />
</td>
<td>-g+1\3<br />
</td>
</tr>
<tr>
<td>4L14s<br />
</td>
<td>2\9 < g < 1\4<br />
</td>
<td>2\9 < g < 3\13<br />
</td>
<td>-3\2+7g<br />
</td>
<td>-2g+1\2<br />
</td>
</tr>
<tr>
<td>5L13s<br />
</td>
<td>7\18 < g < 2\5<br />
</td>
<td>7\18 < g < 9\23<br />
</td>
<td>-5+13g<br />
</td>
<td>-5g+2<br />
</td>
</tr>
<tr>
<td>6L12s<br />
</td>
<td>1\9 < g < 1\6<br />
</td>
<td>1\9 < g < 2\15<br />
</td>
<td>-1\6+2g<br />
</td>
<td>-g+1\6<br />
</td>
</tr>
<tr>
<td>7L11s<br />
</td>
<td>5\18 < g < 2\7<br />
</td>
<td>5\18 < g < 7\25<br />
</td>
<td>-3+11g<br />
</td>
<td>-7g+2<br />
</td>
</tr>
<tr>
<td>8L10s<br />
</td>
<td>1\9 < g < 1\8<br />
</td>
<td>1\9 < g < 2\17<br />
</td>
<td>-1\2+5g<br />
</td>
<td>-4g+1\2<br />
</td>
</tr>
<tr>
<td>9L9s<br />
</td>
<td>1\18 < g < 1\9<br />
</td>
<td>1\18 < g < 2\27<br />
</td>
<td>g<br />
</td>
<td>-g+1\9<br />
</td>
</tr>
<tr>
<td>10L8s<br />
</td>
<td>7\18 < g < 2\5<br />
</td>
<td>7\18 < g < 9\23<br />
</td>
<td>-3\2+4g<br />
</td>
<td>-5g+2<br />
</td>
</tr>
<tr>
<td>11L7s<br />
</td>
<td>13\18 < g < 8\11<br />
</td>
<td>13\18 < g < 21\29<br />
</td>
<td>-5+7g<br />
</td>
<td>-11g+8<br />
</td>
</tr>
<tr>
<td>12L6s<br />
</td>
<td>1\18 < g < 1\12<br />
</td>
<td>1\18 < g < 1\15<br />
</td>
<td>g<br />
</td>
<td>-2g+1\6<br />
</td>
</tr>
<tr>
<td>13L5s<br />
</td>
<td>11\18 < g < 8\13<br />
</td>
<td>11\18 < g < 19\31<br />
</td>
<td>-3+5g<br />
</td>
<td>-13g+8<br />
</td>
</tr>
<tr>
<td>14L4s<br />
</td>
<td>5\18 < g < 2\7<br />
</td>
<td>5\18 < g < 7\25<br />
</td>
<td>-1\2+2g<br />
</td>
<td>-7g+2<br />
</td>
</tr>
<tr>
<td>15L3s<br />
</td>
<td>1\18 < g < 1\15<br />
</td>
<td>1\18 < g < 2\33<br />
</td>
<td>g<br />
</td>
<td>-5g+1\3<br />
</td>
</tr>
<tr>
<td>16L2s<br />
</td>
<td>1\18 < g < 1\16<br />
</td>
<td>1\18 < g < 1\17<br />
</td>
<td>g<br />
</td>
<td>-8g+1\2<br />
</td>
</tr>
<tr>
<td>17L1s<br />
</td>
<td>1\18 < g < 1\17<br />
</td>
<td>1\18 < g < 2\35<br />
</td>
<td>g<br />
</td>
<td>-17g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:34:<h1> --><h1 id="toc17"><a name="x19"></a><!-- ws:end:WikiTextHeadingRule:34 -->19</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L18s<br />
</td>
<td>18\19 < g < 1<br />
</td>
<td>18\19 < g < 19\20<br />
</td>
<td>-17+18g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L17s<br />
</td>
<td>9\19 < g < 1\2<br />
</td>
<td>9\19 < g < 10\21<br />
</td>
<td>-8+17g<br />
</td>
<td>-2g+1<br />
</td>
</tr>
<tr>
<td>3L16s<br />
</td>
<td>6\19 < g < 1\3<br />
</td>
<td>6\19 < g < 7\22<br />
</td>
<td>-5+16g<br />
</td>
<td>1-3g<br />
</td>
</tr>
<tr>
<td>4L15s<br />
</td>
<td>14\19 < g < 3\4<br />
</td>
<td>14\19 < g < 17\23<br />
</td>
<td>-11+15g<br />
</td>
<td>-4g+3<br />
</td>
</tr>
<tr>
<td>5L14s<br />
</td>
<td>15\19 < g < 4\5<br />
</td>
<td>15\19 < g < 19\24<br />
</td>
<td>-11+14g<br />
</td>
<td>-5g+4<br />
</td>
</tr>
<tr>
<td>6L13s<br />
</td>
<td>3\19 < g < 1\6<br />
</td>
<td>3\19 < g < 4\25<br />
</td>
<td>-2+13g<br />
</td>
<td>-6g+1<br />
</td>
</tr>
<tr>
<td>7L12s<br />
</td>
<td>8\19 < g < 3\7<br />
</td>
<td>8\19 < g < 11\26<br />
</td>
<td>-5+12g<br />
</td>
<td>-7g+3<br />
</td>
</tr>
<tr>
<td>8L11s<br />
</td>
<td>7\19 < g < 3\8<br />
</td>
<td>7\19 < g < 10\27<br />
</td>
<td>-4+11g<br />
</td>
<td>-8g+3<br />
</td>
</tr>
<tr>
<td>9L10s<br />
</td>
<td>2\19 < g < 1\9<br />
</td>
<td>2\19 < g < 3\28<br />
</td>
<td>-1+10g<br />
</td>
<td>-9g+1<br />
</td>
</tr>
<tr>
<td>10L9s<br />
</td>
<td>17\19 < g < 9\10<br />
</td>
<td>17\19 < g < 26\29<br />
</td>
<td>-8+9g<br />
</td>
<td>-10g+9<br />
</td>
</tr>
<tr>
<td>11L8s<br />
</td>
<td>12\19 < g < 7\11<br />
</td>
<td>12\19 < g < 19\30<br />
</td>
<td>-5+8g<br />
</td>
<td>-11g+7<br />
</td>
</tr>
<tr>
<td>12L7s<br />
</td>
<td>11\19 < g < 7\12<br />
</td>
<td>11\19 < g < 18\31<br />
</td>
<td>-4+7g<br />
</td>
<td>-12g+7<br />
</td>
</tr>
<tr>
<td>13L6s<br />
</td>
<td>16\19 < g < 11\13<br />
</td>
<td>16\19 < g < 27\32<br />
</td>
<td>-5+6g<br />
</td>
<td>-13g+11<br />
</td>
</tr>
<tr>
<td>14L5s<br />
</td>
<td>4\19 < g < 3\14<br />
</td>
<td>4\19 < g < 7\33<br />
</td>
<td>-1+5g<br />
</td>
<td>-14g+3<br />
</td>
</tr>
<tr>
<td>15L4s<br />
</td>
<td>5\19 < g < 4\15<br />
</td>
<td>5\19 < g < 9\34<br />
</td>
<td>-1+4g<br />
</td>
<td>-15g+4<br />
</td>
</tr>
<tr>
<td>16L3s<br />
</td>
<td>13\19 < g < 11\16<br />
</td>
<td>13\19 < g < 24\35<br />
</td>
<td>-2+3g<br />
</td>
<td>-16g+11<br />
</td>
</tr>
<tr>
<td>17L2s<br />
</td>
<td>10\19 < g < 9\17<br />
</td>
<td>10\19 < g < 19\36<br />
</td>
<td>-1+2g<br />
</td>
<td>-17g+9<br />
</td>
</tr>
<tr>
<td>18L1s<br />
</td>
<td>1\19 < g < 1\18<br />
</td>
<td>1\19 < g < 2\37<br />
</td>
<td>g<br />
</td>
<td>-18g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:36:<h1> --><h1 id="toc18"><a name="x20"></a><!-- ws:end:WikiTextHeadingRule:36 -->20</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L19s<br />
</td>
<td>19\20 < g < 1<br />
</td>
<td>19\20 < g < 20\21<br />
</td>
<td>-18+19g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L18s<br />
</td>
<td>9\20 < g < 1\2<br />
</td>
<td>9\20 < g < 5\11<br />
</td>
<td>-4+9g<br />
</td>
<td>-g+1\2<br />
</td>
</tr>
<tr>
<td>3L17s<br />
</td>
<td>13\20 < g < 2\3<br />
</td>
<td>13\20 < g < 15\23<br />
</td>
<td>-11+17g<br />
</td>
<td>-3g+2<br />
</td>
</tr>
<tr>
<td>4L16s<br />
</td>
<td>1\5 < g < 1\4<br />
</td>
<td>1\5 < g < 2\9<br />
</td>
<td>-3\4+4g<br />
</td>
<td>-g+1\4<br />
</td>
</tr>
<tr>
<td>5L15s<br />
</td>
<td>3\20 < g < 1\5<br />
</td>
<td>3\20 < g < 4\25<br />
</td>
<td>-2\5+3g<br />
</td>
<td>-g+1\5<br />
</td>
</tr>
<tr>
<td>6L14s<br />
</td>
<td>3\20 < g < 1\6<br />
</td>
<td>3\20 < g < 2\13<br />
</td>
<td>-1+7g<br />
</td>
<td>-3g+1\2<br />
</td>
</tr>
<tr>
<td>7L13s<br />
</td>
<td>17\20 < g < 6\7<br />
</td>
<td>17\20 < g < 23\27<br />
</td>
<td>-11+13g<br />
</td>
<td>-7g+6<br />
</td>
</tr>
<tr>
<td>8L12s<br />
</td>
<td>1\10 < g < 1\8<br />
</td>
<td>1\10 < g < 1\9<br />
</td>
<td>-1\4+3g<br />
</td>
<td>-2g+1\4<br />
</td>
</tr>
<tr>
<td>9L11s<br />
</td>
<td>11\20 < g < 5\9<br />
</td>
<td>11\20 < g < 16\29<br />
</td>
<td>-6+11g<br />
</td>
<td>-9g+5<br />
</td>
</tr>
<tr>
<td>10L10s<br />
</td>
<td>1\20 < g < 1\10<br />
</td>
<td>1\20 < g < 1\15<br />
</td>
<td>g<br />
</td>
<td>-g+1\10<br />
</td>
</tr>
<tr>
<td>11L9s<br />
</td>
<td>9\20 < g < 5\11<br />
</td>
<td>9\20 < g < 14\31<br />
</td>
<td>-4+9g<br />
</td>
<td>-11g+5<br />
</td>
</tr>
<tr>
<td>12L8s<br />
</td>
<td>3\20 < g < 1\6<br />
</td>
<td>3\20 < g < 2\13<br />
</td>
<td>-1\4+2g<br />
</td>
<td>-3g+1\2<br />
</td>
</tr>
<tr>
<td>13L7s<br />
</td>
<td>3\20 < g < 2\13<br />
</td>
<td>3\20 < g < 5\33<br />
</td>
<td>-1+7g<br />
</td>
<td>-13g+2<br />
</td>
</tr>
<tr>
<td>14L6s<br />
</td>
<td>7\20 < g < 5\14<br />
</td>
<td>7\20 < g < 6\17<br />
</td>
<td>-1+3g<br />
</td>
<td>-7g+5\2<br />
</td>
</tr>
<tr>
<td>15L5s<br />
</td>
<td>1\20 < g < 1\15<br />
</td>
<td>1\20 < g < 2\35<br />
</td>
<td>g<br />
</td>
<td>-3g+1\5<br />
</td>
</tr>
<tr>
<td>16L4s<br />
</td>
<td>1\20 < g < 1\16<br />
</td>
<td>1\20 < g < 1\18<br />
</td>
<td>g<br />
</td>
<td>-4g+1\4<br />
</td>
</tr>
<tr>
<td>17L3s<br />
</td>
<td>7\20 < g < 6\17<br />
</td>
<td>7\20 < g < 13\37<br />
</td>
<td>-1+3g<br />
</td>
<td>-17g+6<br />
</td>
</tr>
<tr>
<td>18L2s<br />
</td>
<td>1\20 < g < 1\18<br />
</td>
<td>1\20 < g < 1\19<br />
</td>
<td>g<br />
</td>
<td>-9g+1\2<br />
</td>
</tr>
<tr>
<td>19L1s<br />
</td>
<td>1\20 < g < 1\19<br />
</td>
<td>1\20 < g < 2\39<br />
</td>
<td>g<br />
</td>
<td>-19g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:38:<h1> --><h1 id="toc19"><a name="x21"></a><!-- ws:end:WikiTextHeadingRule:38 -->21</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L20s<br />
</td>
<td>20\21 < g < 1<br />
</td>
<td>20\21 < g < 21\22<br />
</td>
<td>-19+20g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L19s<br />
</td>
<td>10\21 < g < 1\2<br />
</td>
<td>10\21 < g < 11\23<br />
</td>
<td>-9+19g<br />
</td>
<td>-2g+1<br />
</td>
</tr>
<tr>
<td>3L18s<br />
</td>
<td>2\7 < g < 1\3<br />
</td>
<td>2\7 < g < 3\10<br />
</td>
<td>-5\3+6g<br />
</td>
<td>-g+1\3<br />
</td>
</tr>
<tr>
<td>4L17s<br />
</td>
<td>5\21 < g < 1\4<br />
</td>
<td>5\21 < g < 6\25<br />
</td>
<td>-4+17g<br />
</td>
<td>-4g+1<br />
</td>
</tr>
<tr>
<td>5L16s<br />
</td>
<td>4\21 < g < 1\5<br />
</td>
<td>4\21 < g < 5\26<br />
</td>
<td>-3+16g<br />
</td>
<td>-5g+1<br />
</td>
</tr>
<tr>
<td>6L15s<br />
</td>
<td>1\7 < g < 1\6<br />
</td>
<td>1\7 < g < 2\13<br />
</td>
<td>-2\3+5g<br />
</td>
<td>-2g+1\3<br />
</td>
</tr>
<tr>
<td>7L14s<br />
</td>
<td>2\21 < g < 1\7<br />
</td>
<td>2\21 < g < 3\28<br />
</td>
<td>-1\7+2g<br />
</td>
<td>-g+1\7<br />
</td>
</tr>
<tr>
<td>8L13s<br />
</td>
<td>13\21 < g < 5\8<br />
</td>
<td>13\21 < g < 18\29<br />
</td>
<td>-8+13g<br />
</td>
<td>-8g+5<br />
</td>
</tr>
<tr>
<td>9L12s<br />
</td>
<td>2\21 < g < 1\9<br />
</td>
<td>2\21 < g < 1\10<br />
</td>
<td>-1\3+4g<br />
</td>
<td>-3g+1\3<br />
</td>
</tr>
<tr>
<td>10L11s<br />
</td>
<td>2\21 < g < 1\10<br />
</td>
<td>2\21 < g < 3\31<br />
</td>
<td>-1+11g<br />
</td>
<td>-10g+1<br />
</td>
</tr>
<tr>
<td>11L10s<br />
</td>
<td>19\21 < g < 10\11<br />
</td>
<td>19\21 < g < 29\32<br />
</td>
<td>-9+10g<br />
</td>
<td>-11g+10<br />
</td>
</tr>
<tr>
<td>12L9s<br />
</td>
<td>5\21 < g < 1\4<br />
</td>
<td>5\21 < g < 6\25<br />
</td>
<td>-2\3+3g<br />
</td>
<td>-4g+1<br />
</td>
</tr>
<tr>
<td>13L8s<br />
</td>
<td>8\21 < g < 5\13<br />
</td>
<td>8\21 < g < 13\34<br />
</td>
<td>-3+8g<br />
</td>
<td>-13g+5<br />
</td>
</tr>
<tr>
<td>14L7s<br />
</td>
<td>1\21 < g < 1\14<br />
</td>
<td>1\21 < g < 2\35<br />
</td>
<td>g<br />
</td>
<td>-2g+1\7<br />
</td>
</tr>
<tr>
<td>15L6s<br />
</td>
<td>4\21 < g < 1\5<br />
</td>
<td>4\21 < g < 5\26<br />
</td>
<td>-1\3+2g<br />
</td>
<td>-5g+1<br />
</td>
</tr>
<tr>
<td>16L5s<br />
</td>
<td>17\21 < g < 13\16<br />
</td>
<td>17\21 < g < 30\37<br />
</td>
<td>-4+5g<br />
</td>
<td>-16g+13<br />
</td>
</tr>
<tr>
<td>17L4s<br />
</td>
<td>16\21 < g < 13\17<br />
</td>
<td>16\21 < g < 29\38<br />
</td>
<td>-3+4g<br />
</td>
<td>-17g+13<br />
</td>
</tr>
<tr>
<td>18L3s<br />
</td>
<td>1\21 < g < 1\18<br />
</td>
<td>1\21 < g < 2\39<br />
</td>
<td>g<br />
</td>
<td>-6g+1\3<br />
</td>
</tr>
<tr>
<td>19L2s<br />
</td>
<td>11\21 < g < 10\19<br />
</td>
<td>11\21 < g < 21\40<br />
</td>
<td>-1+2g<br />
</td>
<td>-19g+10<br />
</td>
</tr>
<tr>
<td>20L1s<br />
</td>
<td>1\21 < g < 1\20<br />
</td>
<td>1\21 < g < 2\41<br />
</td>
<td>g<br />
</td>
<td>-20g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:40:<h1> --><h1 id="toc20"><a name="x22"></a><!-- ws:end:WikiTextHeadingRule:40 -->22</h1>
<table class="wiki_table">
<tr>
<td>Large-small numbers<br />
</td>
<td>Generator range<br />
</td>
<td>Range of propriety<br />
</td>
<td>Large step<br />
</td>
<td>Small step<br />
</td>
</tr>
<tr>
<td>1L21s<br />
</td>
<td>21\22 < g < 1<br />
</td>
<td>21\22 < g < 22\23<br />
</td>
<td>-20+21g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L20s<br />
</td>
<td>5\11 < g < 1\2<br />
</td>
<td>5\11 < g < 6\13<br />
</td>
<td>-9\2+10g<br />
</td>
<td>-g+1\2<br />
</td>
</tr>
<tr>
<td>3L19s<br />
</td>
<td>7\22 < g < 1\3<br />
</td>
<td>7\22 < g < 8\25<br />
</td>
<td>-6+19g<br />
</td>
<td>1-3g<br />
</td>
</tr>
<tr>
<td>4L18s<br />
</td>
<td>5\22 < g < 1\4<br />
</td>
<td>5\22 < g < 3\13<br />
</td>
<td>-2+9g<br />
</td>
<td>-2g+1\2<br />
</td>
</tr>
<tr>
<td>5L17s<br />
</td>
<td>13\22 < g < 3\5<br />
</td>
<td>13\22 < g < 16\27<br />
</td>
<td>-10+17g<br />
</td>
<td>-5g+3<br />
</td>
</tr>
<tr>
<td>6L16s<br />
</td>
<td>7\22 < g < 1\3<br />
</td>
<td>7\22 < g < 8\25<br />
</td>
<td>-5\2+8g<br />
</td>
<td>1-3g<br />
</td>
</tr>
<tr>
<td>7L15s<br />
</td>
<td>3\22 < g < 1\7<br />
</td>
<td>3\22 < g < 4\29<br />
</td>
<td>-2+15g<br />
</td>
<td>-7g+1<br />
</td>
</tr>
<tr>
<td>8L14s<br />
</td>
<td>4\11 < g < 3\8<br />
</td>
<td>4\11 < g < 7\19<br />
</td>
<td>-5\2+7g<br />
</td>
<td>-4g+3\2<br />
</td>
</tr>
<tr>
<td>9L13s<br />
</td>
<td>17\22 < g < 7\9<br />
</td>
<td>17\22 < g < 24\31<br />
</td>
<td>-10+13g<br />
</td>
<td>-9g+7<br />
</td>
</tr>
<tr>
<td>10L12s<br />
</td>
<td>1\11 < g < 1\10<br />
</td>
<td>1\11 < g < 2\21<br />
</td>
<td>-1\2+6g<br />
</td>
<td>-5g+1\2<br />
</td>
</tr>
<tr>
<td>11L11s<br />
</td>
<td>1\22 < g < 1\11<br />
</td>
<td>1\22 < g < 2\33<br />
</td>
<td>g<br />
</td>
<td>-g+1\11<br />
</td>
</tr>
<tr>
<td>12L10s<br />
</td>
<td>9\22 < g < 5\12<br />
</td>
<td>9\22 < g < 7\17<br />
</td>
<td>-2+5g<br />
</td>
<td>-6g+5\2<br />
</td>
</tr>
<tr>
<td>13L9s<br />
</td>
<td>5\22 < g < 3\13<br />
</td>
<td>5\22 < g < 8\35<br />
</td>
<td>-2+9g<br />
</td>
<td>-13g+3<br />
</td>
</tr>
<tr>
<td>14L8s<br />
</td>
<td>3\22 < g < 1\7<br />
</td>
<td>3\22 < g < 4\29<br />
</td>
<td>4g-1\2<br />
</td>
<td>-7g+1<br />
</td>
</tr>
<tr>
<td>15L7s<br />
</td>
<td>19\22 < g < 13\15<br />
</td>
<td>19\22 < g < 32\37<br />
</td>
<td>-6+7g<br />
</td>
<td>-15g+13<br />
</td>
</tr>
<tr>
<td>16L6s<br />
</td>
<td>2\11 < g < 3\16<br />
</td>
<td>2\11 < g < 5\27<br />
</td>
<td>3g-1\2<br />
</td>
<td>-8g+3\2<br />
</td>
</tr>
<tr>
<td>17L5s<br />
</td>
<td>9\22 < g < 7\17<br />
</td>
<td>9\22 < g < 16\39<br />
</td>
<td>-2+5g<br />
</td>
<td>-17g+7<br />
</td>
</tr>
<tr>
<td>18L4s<br />
</td>
<td>3\11 < g < 5\18<br />
</td>
<td>3\11 < g < 8\29<br />
</td>
<td>-1\2+2g<br />
</td>
<td>-9g+5\2<br />
</td>
</tr>
<tr>
<td>19L3s<br />
</td>
<td>15\22 < g < 13\19<br />
</td>
<td>15\22 < g <28\41<br />
</td>
<td>-2+3g<br />
</td>
<td>-19g+13<br />
</td>
</tr>
<tr>
<td>20L2s<br />
</td>
<td>1\22 < g < 1\20<br />
</td>
<td>1\22 < g < 1\21<br />
</td>
<td>g<br />
</td>
<td>-10g+1\2<br />
</td>
</tr>
<tr>
<td>21L1s<br />
</td>
<td>1\22 < g < 1\21<br />
</td>
<td>1\22 < g < 2\43<br />
</td>
<td>g<br />
</td>
<td>-21g+1<br />
</td>
</tr>
</table>
</body></html>