Generator ranges of MOS
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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 || -g+1 || =3= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L2s || 2\3 < g < 1 || 2\3 < g < 3\4 || -1+2g || -g+1 || || 2L1s || 1\3 < g < 1\2 || 1\3 < g < 2\5 || g || -2g+1 || =4= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L3s || 3\4 < g < 1 || 3\4 < g < 4\5 || -2+3g || -g+1 || || 2L2s || 1\4 < g < 1\2 || 1\4 < g < 1\3 || g || -g+1\2 || || 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 || -4+5g || -g+1 || || 2L4s || 1\3 < g < 1\2 || 1\3 < g < 2\5 || -1\2+2g || -g+1\2 || || 3L3s || 1\6 < g < 1\3 || 1\6 < g < 2\9 || g || -g+1\3 || || 4L2s || 1\6 < g < 1\4 || 1\6 < g < 1\5 || g || -2g+1\2 || || 5L1s || 1\6 < g < 1\5 || 1\6 < g < 2\11 || g || -5g+1 || =7= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L6s || 6\7 < g < 1 || 6\7 < g < 7\8 || -5+6g || -g+1 || || 2L5s || 3\7 < g < 1\2 || 3\7 < g < 4\9 || -2+5g || -2g+1 || || 3L4s || 2\7 < g < 1\3 || 2\7 < g < 3\10 || -1+4g || 1-3g || || 4L3s || 5\7 < g < 3\4 || 5\7 < g < 8\11 || -2+3g || -4g+3 || || 5L2s || 4\7 < g < 3\5 || 4\7 < g < 7\12 || -1+2g || -5g+3 || || 6L1s || 1\7 < g < 1\6 || 1\7 < g < 2\13 || g || -6g+1 || =8= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L7s || 7\8 < g < 1 || 7\8 < g < 8\9 || -6+7g || -g+1 || || 2L6s || 3\8 < g < 1\2 || 3\8 < g < 2\5 || -1+3g || -g+1\2 || || 3L5s || 5\8 < g < 2\3 || 5\8 < g < 7\11 || -3+5g || -3g+2 || || 4L4s || 1\8 < g < 1\4 || 1\8 < g < 1\6 || g || -g+1\4 || || 5L3s || 3\8 < g < 2\5 || 3\8 < g < 5\13 || -1+3g || -5g+2 || || 6L2s || 1\8 < g < 1\6 || 1\8 < g < 1\7 || g || -3g+1\2 || || 7L1s || 1\8 < g < 1\7 || 1\8 < g < 2\15 || g || -7g+1 || =9= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L8s || 8\9 < g < 1 || 8\9 < g < 9\10 || -7+8g || -g+1 || || 2L7s || 4\9 < g < 1\2 || 4\9 < g < 5\11 || -3+7g || -2g+1 || || 3L6s || 2\9 < g < 1\3 || 2\9 < g < 1\4 || -1\3+2g || -g+1\3 || || 4L5s || 2\9 < g < 1\4 || 2\9 < g < 3\13 || -1+5g || -4g+1 || || 5L4s || 7\9 < g < 4\5 || 7\9 < g < 11\14 || -3+4g || -5g+4 || || 6L3s || 1\9 < g < 1\6 || 1\9 < g < 2\15 || g || -2g+1\3 || || 7L2s || 5\9 < g < 4\7 || 5\9 < g < 9\16 || -1+2g || -7g+4 || || 8L1s || 1\9 < g < 1\8 || 1\9 < g < 2\17 || g || -8g+1 || =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 || -10+11g || -g+1 || || 2L10s || 5\12 < g < 1\2 || 5\12 < g < 3\7 || -2+5g || -g+1\2 || || 3L9s || 1\4 < g < 1\3 || 1\4 < g < 2\7 || -2\3+3g || -g+1\3 || || 4L8s || 1\6 < g < 1\4 || 1\6 < g < 1\5 || -1\4+2g || -g+1\4 || || 5L7s || 7\12 < g < 3\5 || 7\12 < g < 10\17 || -4+7g || -5g+3 || || 6L6s || 1\12 < g < 1\6 || 1\12 < g < 1\9 || g || -g+1\6 || || 7L5s || 5\12 < g < 3\7 || 5\12 < g < 8\19 || -2+5g || -7g+3 || || 8L4s || 1\12 < g < 1\8 || 1\12 < g < 1\10 || g || -2g+1\4 || || 9L3s || 1\12 < g < 1\9 || 1\12 < g < 2\21 || g || -3g+1\3 || || 10L2s || 1\12 < g < 1\10 || 1\12 < g < 1\11 || g || -5g+1\2 || || 11L1s || 1\12 < g < 1\11 || 1\12 < g < 2\23 || g || -11g+1 || =13= || Large-small numbers || Generator range || Range of propriety || Large step || Small step || || 1L12s || 12\13 < g < 1 || 12\13 < g < 13\14 || -11+12g || -g+1 || || 2L11s || 6\13 < g < 1\2 || 6\13 < g < 7\15 || -5+11g || -2g+1 || || 3L10s || 4\13 < g < 1\3 || 4\13 < g < 5\16 || -3+10g || 1-3g || || 4L9s || 3\13 < g < 1\4 || 3\13 < g < 4\17 || -2+9g || -4g+1 || || 5L8s || 5\13 < g < 2\5 || 5\13 < g < 7\18 || -3+8g || -5g+2 || || 6L7s || 2\13 < g < 1\6 || 2\13 < g < 3\19 || -1+7g || -6g+1 || || 7L6s || 11\13 < g < 6\7 || 11\13 < g < 17\20 || -5+6g || -7g+6 || || 8L5s || 8\13 < g < 5\8 || 8\13 < g < 13\21 || -3+5g || -8g+5 || || 9L4s || 10\13 < g < 7\9 || 10\13 < g < 17\22 || -3+4g || -9g+7 || || 10L3s || 9\13 < g < 7\10 || 9\13 < g < 16\23 || -2+3g || -10g+7 || || 11L2s || 7\13 < g < 6\11 || 7\13 < g < 13\24 || -1+2g || -11g+6 || || 12L1s || 1\13 < g < 1\12 || 1\13 < g < 2\25 || g || -12g+1 || =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 || 3\7 < g < 1\2 || 3\7 < g < 4\9 || -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 < 2\9 || -1+5g || -2g+1\2 || || 5L9s || 11\14 < g < 4\5 || 11\14 < g < 15\19 || -7+9g || -5g+4 || || 6L8s || 1\7 < g < 1\6 || 1\7 < g < 2\13 || 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 < 4\11 || -1+3g || -4g+3\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 < 5\17 || -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 < 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 />
<!-- ws:start:WikiTextHeadingRule:0:<h1> --><h1 id="toc0"><a name="x2"></a><!-- ws:end:WikiTextHeadingRule:0 -->2</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>1L1s<br />
</td>
<td>1\2 < g < 1<br />
</td>
<td>1\2 < g < 2\3<br />
</td>
<td>g<br />
</td>
<td>-g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:2:<h1> --><h1 id="toc1"><a name="x3"></a><!-- ws:end:WikiTextHeadingRule:2 -->3</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>1L2s<br />
</td>
<td>2\3 < g < 1<br />
</td>
<td>2\3 < g < 3\4<br />
</td>
<td>-1+2g<br />
</td>
<td>-g+1<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>-2g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:4:<h1> --><h1 id="toc2"><a name="x4"></a><!-- ws:end:WikiTextHeadingRule:4 -->4</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>1L3s<br />
</td>
<td>3\4 < g < 1<br />
</td>
<td>3\4 < g < 4\5<br />
</td>
<td>-2+3g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L2s<br />
</td>
<td>1\4 < g < 1\2<br />
</td>
<td>1\4 < g < 1\3<br />
</td>
<td>g<br />
</td>
<td>-g+1\2<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 />
<!-- ws:start:WikiTextHeadingRule:6:<h1> --><h1 id="toc3"><a name="x5"></a><!-- ws:end:WikiTextHeadingRule:6 -->5</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>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 />
<!-- ws:start:WikiTextHeadingRule:8:<h1> --><h1 id="toc4"><a name="x6"></a><!-- ws:end:WikiTextHeadingRule:8 -->6</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>1L5s<br />
</td>
<td>5\6 < g < 1<br />
</td>
<td>5\6 < g < 6\7<br />
</td>
<td>-4+5g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L4s<br />
</td>
<td>1\3 < g < 1\2<br />
</td>
<td>1\3 < g < 2\5<br />
</td>
<td>-1\2+2g<br />
</td>
<td>-g+1\2<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>-g+1\3<br />
</td>
</tr>
<tr>
<td>4L2s<br />
</td>
<td>1\6 < g < 1\4<br />
</td>
<td>1\6 < g < 1\5<br />
</td>
<td>g<br />
</td>
<td>-2g+1\2<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>-5g+1<br />
</td>
</tr>
</table>
<br />
<!-- ws:start:WikiTextHeadingRule:10:<h1> --><h1 id="toc5"><a name="x7"></a><!-- ws:end:WikiTextHeadingRule:10 -->7</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>1L6s<br />
</td>
<td>6\7 < g < 1<br />
</td>
<td>6\7 < g < 7\8<br />
</td>
<td>-5+6g<br />
</td>
<td>-g+1<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>-2+5g<br />
</td>
<td>-2g+1<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>-1+4g<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>-2+3g<br />
</td>
<td>-4g+3<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>-1+2g<br />
</td>
<td>-5g+3<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>-6g+1<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>-6+7g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L6s<br />
</td>
<td>3\8 < g < 1\2<br />
</td>
<td>3\8 < g < 2\5<br />
</td>
<td>-1+3g<br />
</td>
<td>-g+1\2<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>-3+5g<br />
</td>
<td>-3g+2<br />
</td>
</tr>
<tr>
<td>4L4s<br />
</td>
<td>1\8 < g < 1\4<br />
</td>
<td>1\8 < g < 1\6<br />
</td>
<td>g<br />
</td>
<td>-g+1\4<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>-1+3g<br />
</td>
<td>-5g+2<br />
</td>
</tr>
<tr>
<td>6L2s<br />
</td>
<td>1\8 < g < 1\6<br />
</td>
<td>1\8 < g < 1\7<br />
</td>
<td>g<br />
</td>
<td>-3g+1\2<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>-7g+1<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>-7+8g<br />
</td>
<td>-g+1<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>-3+7g<br />
</td>
<td>-2g+1<br />
</td>
</tr>
<tr>
<td>3L6s<br />
</td>
<td>2\9 < g < 1\3<br />
</td>
<td>2\9 < g < 1\4<br />
</td>
<td>-1\3+2g<br />
</td>
<td>-g+1\3<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>-1+5g<br />
</td>
<td>-4g+1<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>-3+4g<br />
</td>
<td>-5g+4<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>-2g+1\3<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>-1+2g<br />
</td>
<td>-7g+4<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>-8g+1<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>-10+11g<br />
</td>
<td>-g+1<br />
</td>
</tr>
<tr>
<td>2L10s<br />
</td>
<td>5\12 < g < 1\2<br />
</td>
<td>5\12 < g < 3\7<br />
</td>
<td>-2+5g<br />
</td>
<td>-g+1\2<br />
</td>
</tr>
<tr>
<td>3L9s<br />
</td>
<td>1\4 < g < 1\3<br />
</td>
<td>1\4 < g < 2\7<br />
</td>
<td>-2\3+3g<br />
</td>
<td>-g+1\3<br />
</td>
</tr>
<tr>
<td>4L8s<br />
</td>
<td>1\6 < g < 1\4<br />
</td>
<td>1\6 < g < 1\5<br />
</td>
<td>-1\4+2g<br />
</td>
<td>-g+1\4<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>-4+7g<br />
</td>
<td>-5g+3<br />
</td>
</tr>
<tr>
<td>6L6s<br />
</td>
<td>1\12 < g < 1\6<br />
</td>
<td>1\12 < g < 1\9<br />
</td>
<td>g<br />
</td>
<td>-g+1\6<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>-2+5g<br />
</td>
<td>-7g+3<br />
</td>
</tr>
<tr>
<td>8L4s<br />
</td>
<td>1\12 < g < 1\8<br />
</td>
<td>1\12 < g < 1\10<br />
</td>
<td>g<br />
</td>
<td>-2g+1\4<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>-3g+1\3<br />
</td>
</tr>
<tr>
<td>10L2s<br />
</td>
<td>1\12 < g < 1\10<br />
</td>
<td>1\12 < g < 1\11<br />
</td>
<td>g<br />
</td>
<td>-5g+1\2<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>-11g+1<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>-11+12g<br />
</td>
<td>-g+1<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>-5+11g<br />
</td>
<td>-2g+1<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>-3+10g<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>-2+9g<br />
</td>
<td>-4g+1<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>-3+8g<br />
</td>
<td>-5g+2<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>-1+7g<br />
</td>
<td>-6g+1<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>-5+6g<br />
</td>
<td>-7g+6<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>-3+5g<br />
</td>
<td>-8g+5<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>-3+4g<br />
</td>
<td>-9g+7<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>-2+3g<br />
</td>
<td>-10g+7<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>-1+2g<br />
</td>
<td>-11g+6<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>-12g+1<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>3\7 < g < 1\2<br />
</td>
<td>3\7 < g < 4\9<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 < 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>1\7 < g < 1\6<br />
</td>
<td>1\7 < g < 2\13<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 < 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>2\7 < g < 3\10<br />
</td>
<td>2\7 < g < 5\17<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 < 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>