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 29. The ranges are given in fractions of the interval of equivalence, which is normally an octave. The tables give the range of possible generators in the second column, normalized so that the lower end of the range is where L/s = 1 (Nedo). The third column gives the midpoint of the range. Finally, the fourth column gives the boundaries of propriety, maximum expressiveness and diatonicity.

If the number of the [[@Interval class|generic interval]] to which the generator g belongs is C, and there are N scale steps to the interval of equivalence, then the average the size of an interval in class C is C/N. We have normalized so that C/N is the lower bound of the range of generators; since therefore g > C/N, g is larger than average and hence is the larger of the two sizes of intervals in its class, which means we have normalized to the [[@Modal UDP Notation|chroma-positive]] generator. We have normalized to the formula fir the step size where the leading term is positive.

=2, 3, 4= 
**Note: These sets are given for the sake of completeness as they are not really scales**
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L1s || 1\2 < g < 1 || g = 3\4 || g = 2\3, 3\4, 4\5 || g || 1-g ||
|| 1L2s || 2\3 < g < 1 || g = 5\6 || g = 3\4, 4\5, 5\6 || 2g-1 || 1-g ||
|| 2L1s || 1\3 < g < 1\2 || g = 5\12 || g = 2\5, 3\7, 4\9 || g || 1-2g ||
|| 1L3s || 3\4 < g < 1 || g = 7\8 || g = 4\5, 5\6, 6\7 || 3g-2 || 1-g ||
|| 2L2s || 1\4 < g < 1\2 || g = 3\8 || g = 2\6, 3\8, 4\10 || g || 1\2-g ||
|| 3L1s || 1\4 < g < 1\3 || g = 7\24 || g = 2\7, 3\10, 4\13 || g || 1-3g ||

=5= 
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L4s || 4\5 < g < 1 || g = 9\10 || g = 5\6, 6\7, 7\8 || 4g-3 || 1-g ||
|| 2L3s || 2\5 < g < 1\2 || g = 9\20 || g = 3\7, 4\9, 5\11 || 3g-1 || 1-2g ||
|| 3L2s || 3\5 < g < 2\3 || g = 19\30 || g = 5\8, 7\11, 9\14 || 2g-1 || 2-3g ||
|| 4L1s || 1\5 < g < 1\4 || g = 9\40 || g = 2\9, 3\13, 4\17 || g || 1-4g ||

=6= 
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L5s || 5\6 < g < 1 || g = 11\12 || g = 6\7, 7\8, 8\9 || 5g-4 || 1-g ||
|| 2L4s || 2\6 < g < 1\2 || g = 5\12 || g = 3\8, 4\10, 5\12 || 2g-1\2 || 1\2-g ||
|| 3L3s || 1\6 < g < 1\3 || g = 3\12 || g = 2\9, 3\12, 4\15 || g || 1\3-g ||
|| 4L2s || 1\6 < g < 1\4 || g = 5\24 || g = 2\10, 3\14, 4\18 || g || 1\2-2g ||
|| 5L1s || 1\6 < g < 1\5 || g = 11\60 || g = 2\11, 3\16, 4\21 || g || 1-5g ||

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

=8= 
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L7s || 7\8 < g < 1 || g = 15\16 || g = 8\9, 9\10, 10\11 || 7g-6 || 1-g ||
|| 2L6s || 3\8 < g < 1\2 || g = 7\16 || g = 4\10, 5\12, 6\14 || 3g-1 || 1\2-g ||
|| 3L5s || 5\8 < g < 2\3 || g = 31\48 || g = 7\11, 9\14, 11\17 || 5g-3 || 2-3g ||
|| 4L4s || 1\8 < g < 1\4 || g = 3\16 || g = 2\12, 3\16, 4\20 || g || 1\4-g ||
|| 5L3s || 3\8 < g < 2\5 || g = 31\80 || g = 5\13, 7\18, 9\23 || 3g-1 || 2-5g ||
|| 6L2s || 1\8 < g < 1\6 || g = 7\48 || g = 2\14, 3\20, 4\26 || g || 1\2-3g ||
|| 7L1s || 1\8 < g < 1\7 || g = 15\112 || g = 2\15, 3\22, 4\29 || g || 1-7g ||

=9= 
**Note: italicized generators from here below generate scales which are weakly tonal**
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L8s || 8\9 < g < 1 || g = 17\18 || g = //9\10//, 10\11, 11\12 || 8g-7 || 1-g ||
|| 2L7s || 4\9 < g < 1\2 || g = 17\36 || g = 5\11, 6\13, 7\15 || 7g-3 || 1-2g ||
|| 3L6s || 2\9 < g < 1\3 || g = 5\18 || g = 3\12, 4\15, 5\18 || 2g-1\3 || 1\3-g ||
||< 4L5s ||< 2\9 < g < 1\4 ||< g = 17\72 ||< g = 3\13, 4\17, 5\21 ||< 5g-1 ||< 1-4g ||
|| 5L4s || 7\9 < g < 4\5 || g = 71\90 || g = 11\14, 15\19, 18\23 || 4g-3 || 4-5g ||
|| 6L3s || 1\9 < g < 1\6 || g = 5\36 || g = 2\15, 3\21, 4\27 || g || 1\3-2g ||
|| 7L2s || 5\9 < g < 4\7 || g = 71\126 || g = 9\16, 10\23, 17\30 || 2g-1 || 4-7g ||
|| 8L1s || 1\9 < g < 1\8 || g = 17\144 || g = 2\17, 3\25, 4\33 || g || 1-8g ||

=10= 
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L9s || 9\10 < g < 1 || g = 19\20 || g = //10\11//, 11\12, 12\13 || 9g-8 || 1-g ||
|| 2L8s || 4\10 < g < 1\2 || g = 9\20 || g = 5\12, 6\14, 7\16 || 4g-3\2 || 1\2-g ||
|| 3L7s || 3\10 < g < 1\3 || g = 19\60 || g = 4\13, 5\16, 6\19 || 7g-2 || 1-3g ||
|| 4L6s || 2\10 < g < 1\4 || g = 9\40 || g = 3\14, 4\18, 5\22 || 3g-1\2 || 1\2-2g ||
|| 5L5s || 1\10 < g < 1\5 || g = 3\20 || g = 2\15, 3\20, 4\25 || g || 1\5-g ||
|| 6L4s || 3\10 < g < 2\6 || g = 19\60 || g = 5\16, 7\22, 9\28 || 2g-1\2 || 1-3g ||
|| 7L3s || 7\10 < g < 5\7 || g = 99\140 || g = 12\17, 17\24, 22\31 || 3g-2 || 5-7g ||
|| 8L2s || 1\10 < g < 1\8 || g = 9\80 || g = 2\18, 3\26, 4\34 || g || 1\2-4g ||
|| 9L1s || 1\10 < g < 1\9 || g = 19\180 || g = 2\19, 3\28, 4\37 || g || 1-9g ||

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

=12= 
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L11s || 11\12 < g < 1 || g = 23\24 || g = //12\13,// //13\14//, 14\15 || 11g-10 || 1-g ||
|| 2L10s || 5\12 < g < 1\2 || g = 11\24 || g = //6\14//, 7\16, 8\18 || 5g-2 || 1\2-g ||
|| 3L9s || 3\12 < g < 1\3 || g = 7\24 || g = 4\15, 5\18, 6\21 || 3g-2\3 || 1\3-g ||
|| 4L8s || 2\12 < g < 1\4 || g = 5\24 || g = 3\16, 4\20, 5\24 || 2g-1\4 || 1\4-g ||
|| 5L7s || 7\12 < g < 3\5 || g = 71\120 || g = 10\17, 13\22, 16\27 || 7g-4 || 3-5g ||
|| 6L6s || 1\12 < g < 1\6 || g = 3\24 || g = 2\18, 3\24, 4\30 || g || 1\6-g ||
|| 7L5s || 5\12 < g < 3\7 || g = 71\168 || g = 8\19, 11\26, 14\33 || 5g-2 || 3-7g ||
|| 8L4s || 1\12 < g < 1\8 || g = 5\48 || g = 2\20, 3\28, 4\36 || g || 1\4-2g ||
|| 9L3s || 1\12 < g < 1\9 || g = 7\72 || g = 2\21, 3\30, 4\39 || g || 1\3-3g ||
|| 10L2s || 1\12 < g < 1\10 || g = 11\120 || g = 2\22, 3\32, 4\42 || g || 1\2-5g ||
|| 11L1s || 1\12 < g < 1\11 || g = 23\264 || g = 2\23, 3\34, 4\45 || g || 1-11g ||

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

=14= 
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L13s || 13\14 < g < 1 || g = 27\28 || g = //14\15,// //15\16//, 16\17 || 13g-12 || 1-g ||
|| 2L12s || 6\14 < g < 1\2 || g = 13\28 || g = //7\16//, 8\18, 9\20 || 6g-5\2 || 1\2-g ||
|| 3L11s || 9\14 < g < 2\3 || g = 55\84 || g = 11\17, 13\20, 15\23 || 11g-7 || 2-3g ||
|| 4L10s || 3\14 < g < 1\4 || g = 13\56 || g = 4\18, 5\22, 6\26 || 5g-1 || 1\2-2g ||
|| 5L9s || 11\14 < g < 4\5 || g = 111\140 || g = 15\19, 19\24, 23\29 || 9g-7 || 4-5g ||
|| 6L8s || 2\14 < g < 1\6 || g = 13\84 || g = 3\20, 4\26, 5\32 || 4g-1\2 || 1\2-3g ||
|| 7L7s || 1\14 < g < 1\7 || g = 3\28 || g = 2\21, 3\28, 4\35 || g || 1\7-g ||
|| 8L6s || 5\14 < g < 3\8 || g = 41\112 || g = 8\22, 11\30, 14\38 || 3g-1 || 3\2-4g ||
|| 9L5s || 3\14 < g < 2\9 || g = 55\252 || g = 5\23, 7\32, 9\41 || 5g-1 || 2-9g ||
|| 10L4s || 4\14 < g < 3\10 || g = 41\140 || g = 7\24, 10\34, 13\44 || 2g-1\2 || 3\2-5g ||
|| 11L3s || 5\14 < g < 4\11 || g = 111\308 || g = 9\25, 13\36, 17\47 || 3g-1 || 4-11g ||
|| 12L2s || 1\14 < g < 1\12 || g = 13\168 || g = 2\26, 3\38, 4\50 || g || 1\2-6g ||
|| 13L1s || 1\14 < g < 1\13 || g = 27\364 || g = 2\27, 3\40, 4\53 || g || 1-13g ||

=15= 
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L14s || 14\15 < g < 1 || g = 29\30 || g = //15\16,// //16\17//, 17\18 || 14g-13 || 1-g ||
|| 2L13s || 7\15 < g < 1\2 || g = 29\60 || g = //8\17//, 9\19, 10\21 || 13g-6 || 1-2g ||
|| 3L12s || 4\15 < g < 1\3 || g = 9\30 || g = 5\18, 6\21, 7\24 || 4g-1 || 1\3-g ||
|| 4L11s || 11\15 < g < 3\4 || g = 89\120 || g = 14\19, 17\23, 20\27 || 11g-8 || 3-4g ||
|| 5L10s || 2\15 < g < 1\5 || g = 5\30 || g = 3\20, 4\25, 5\30 || 2g-1\5 || 1\5-g ||
|| 6L9s || 2\15 < g < 1\6 || g = 9\60 || g = 3\21, 4\27, 5\33 || 3g-1\3 || 1\3-2g ||
|| 7L8s || 2\15 < g < 1\7 || g = 29\210 || g = 3\22, 4\29, 5\36 || 8g-1 || 1-7g ||
|| 8L7s || 13\15 < g < 7\8 || g = 209\240 || g = 20\23, 27\31, 34\39 || 7g-6 || 7-8g ||
|| 9L6s || 3\15 < g < 2\9 || g = 19\90 || g = 5\24, 7\33, 9\42 || 2g-1\3 || 2\3-3g ||
|| 10L5s || 1\15 < g < 1\10 || g = 5\60 || g = 2\25, 3\35, 4\45 || g || 1\5-2g ||
|| 11L4s || 4\15 < g < 3\11 || g = 89\330 || g = 7\26, 10\37, 13\48 || 4g-1 || 3-11g ||
|| 12L3s || 1\15 < g < 1\12 || g = 9\120 || g = 2\27, 3\39, 4\51 || g || 1\3-4g ||
|| 13L2s || 8\15 < g < 7\13 || g = 209\390 || g = 15\28, 22\41, 29\54 || 2g-1 || 7-13g ||
|| 14L1s || 1\15 < g < 1\14 || g = 29\420 || g = 2\29, 3\43, 4\57 || g || 1-14g ||

=16= 
||~ Large-small numbers ||~ Generator range ||~ Midpoint ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L15s || 15\16 < g < 1 || g = 31\32 || g = //16\17,// //17\18//, 18\19 || 15g-14 || 1-g ||
|| 2L14s || 7\16 < g < 1\2 || g = 15\32 || g = //8\18//, 9\20, 10\22 || 7g-3 || 1\2-g ||
|| 3L13s || 5\16 < g < 1\3 || g = 31\96 || g = 6\19, 7\22, 8\25 || 13g-4 || 1-3g ||
|| 4L12s || 3\16 < g < 1\4 || g = 7\32 || g = 4\20, 5\24, 6\28 || 3g-1\2 || 1\4-g ||
|| 5L11s || 3\16 < g < 1\5 || g = 31\160 || g = 4\21, 5\26, 6\31 || 11g-2 || 1-5g ||
|| 6L10s || 5\16 < g < 2\6 || g = 31\96 || g = 7\22, 9\28, 11\34 || 5g-3\2 || 1-3g ||
|| 7L9s || 9\16 < g < 4\7 || g = 127\224 || g = 13\23, 17\30, 21\37 || 9g-5 || 4-7g ||
|| 8L8s || 1\16 < g < 1\8 || g = 3\32 || g = 2\24, 3\32, 4\40 || g || 1\8-g ||
|| 9L7s || 7\16 < g < 4\9 || g = 127\286 || g = 11\25, 15\34, 19\43 || 7g-3 || 4-9g ||
|| 10L6s || 3\16 < g < 2\10 || g = 31\160 || g = 5\26, 7\36, 8\46 || 3g-1\2 || 1-5g ||
|| 11L5s || 13\16 < g < 9\11 || g = 287\352 || g = 22\27, 31\38, 40\49 || 5g-4 || 9-11g ||
|| 12L4s || 1\16 < g < 1\12 || g = 7\48 || g = 2\28, 3\40, 4\52 || g || 1\4-3g ||
|| 13L3s || 11\16 < g < 9\13 || g = 287\416 || g = 20\29, 29\42, 38\55 || 3g-2 || 9-13g ||
|| 14L2s || 1\16 < g < 1\14 || g = 15\224 || g = 2\30, 3\44, 4\58 || g || 1\2-7g ||
|| 15L1s || 1\16 < g < 1\15 || g = 31\480 || g = 2\31, 3\46, 4\61 || g || 1-15g ||

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

=18= 
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L17s || 17\18 < g < 1 || g = 35\36 || g = //18\19, 19\20, 20\21// || 17g-16 || 1-g ||
|| 2L16s || 8\18 < g < 1\2 || g = 17\36 || g -= //9\20//, 10\22, 11\24 || 8g-7\2 || 1\2-g ||
|| 3L15s || 5\18 < g < 1\3 || g = 11\36 || g = //6\21//, 7\24, 8\27 || 5g-4\3 || 1\3-g ||
|| 4L14s || <span style="line-height: 15.6000003814697px;">4\18 < g < 1\4</span> || g = 17\72 || <span style="line-height: 15.6000003814697px;">g = 5\22, 6\26,</span> 7\30 || 7g-3\2 || 1\2-2g ||
|| 5L13s || 7\18 < g < 2\5 || g = 71\180 || g = 9\23, 11\28, 13\33 || 13g-5 || 2-5g ||
|| 6L12s || 2\18 < g < 1\6 || g = 5\36 || g = 3\24, 4\30, 5\36 || 2g-1\6 || 1\6-g ||
|| 7L11s || 5\18 < g < 2\7 || g = 71\252 || g = 7\25, 9\32, 11\39 || 11g-3 || 2-7g ||
|| 8L10s || 2\18 < g < 1\8 || g = 17\144 || g = 3\26, 4\34, 5\42 || 5g-1\2 || 1\2-4g ||
|| 9L9s || 1\18 < g < 1\9 || g = 3\36 || g = 2\27, 3\36, 4\45 || g || 1\9-g ||
|| 10L8s || 7\18 < g < 4\10 || g = 71\180 || g = 11\28, 15\38, 19\48 || 4g-3\2 || 2-5g ||
|| 11L7s || 13\18 < g < 8\11 || g = 287\396 || g = 21\29, 29\40, 37\51 || 7g-5 || 8-11g ||
|| 12L6s || 1\18 < g < 1\12 || g = 5\72 || g = 2\30, 3\42, 4\54 || g || 1\6-2g ||
|| 13L5s || 11\18 < g < 8\13 || g = 287\468 || g = 19\31, 27\44, 35\57 || 5g-3 || 8-13g ||
|| 14L4s || 5\18 < g < 4\14 || g = 71\252 || g = 9\32, 13\46, 17\60 || 2g-1\2 || 2-7g ||
|| 15L3s || 1\18 < g < 1\15 || g = 11\180 || g = 2\33, 3\48, 4\63 || g || 1\3-5g ||
|| 16L2s || 1\18 < g < 1\16 || g = 17\288 || g = 2\34, 3\50, 4\66 || g || 1\2-8g ||
|| 17L1s || 1\18 < g < 1\17 || g = 35\618 || g = 2\35, 3\52, 4\69 || g || 1-17g ||

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

=20= 
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L19s || 19\20 < g < 1 || g = 39\40 || g = //20\21, 21\22, 22\23// || 19g-18 || 1-g ||
|| 2L18s || 9\20 < g < 1\2 || g = 19\40 || g = //10\22//, 11\24, 12\26 || 9g-4 || 1\2-g ||
|| 3L17s || 13\20 < g < 2\3 || g = 79\120 || g = //15\23//, 17\26, 20\29 || 17g-11 || 2-3g ||
|| 4L16s || 4\20 < g < 1\4 || g = 9\40 || g = 5\24, 6\28, 7\32 || 4g-3\4 || 1\4-g ||
|| 5L15s || 3\20 < g < 1\5 || g = 7\40 || g = 4\25, 5\30, 6\35 || 3g-2\5 || 1\5-g ||
|| 6L14s || 3\20 < g < 1\6 || g = 19\120 || g = 4\26, 5\32, 6\38 || 7g-1 || 1\2-3g ||
|| 7L13s || 17\20 < g < 6\7 || g = 239\280 || g = 23\27, 29\34, 35\41 || 13g-11 || 6-7g ||
|| 8L12s || 2\20 < g < 1\8 || g = 9\80 || g = 3\28, 4\36, 5\44 || 3g-1\4 || 1\4-2g ||
|| 9L11s || 11\20 < g < 5\9 || g = 199\360 || g = 16\29, 21\38, 26\47 || 11g-6 || 5-9g ||
|| 10L10s || 1\20 < g < 1\10 || g = 3\40 || g = 2\30, 3\40, 4\50 || g || 1\10-g ||
|| 11L9s || 9\20 < g < 5\11 || g = 199\440 || g = 14\31, 19\42, 24\53 || 9g-4 || 5-11g ||
|| 12L8s || 3\20 < g < 2\12 || g = 19\120 || g = 5\32, 7\44, 9\56 || 2g-1\4 || 1\2-3g ||
|| 13L7s || 3\20 < g < 2\13 || g = 79\520 || g = 5\33, 7\46, 9\59 || 7g-1 || 2-13g ||
|| 14L6s || 7\20 < g < 5\14 || g = 99\280 || g = 12\34, 17\48, 22\62 || 3g-1 || 5\2-7g ||
|| 15L5s || 1\20 < g < 1\15 || g = 7\120 || g = 2\35, 3\50, 4\65 || g || 1\5-3g ||
|| 16L4s || 1\20 < g < 1\16 || g = 9\160 || g = 2\36, 3\52, 4\68 || g || 1\4-4g ||
|| 17L3s || 7\20 < g < 6\17 || g = 239\680 || g = 13\37, 19\54, 25\71 || 3g-1 || 6-17g ||
|| 18L2s || 1\20 < g < 1\18 || g = 19\360 || g = 2\38, 3\56, 4\74 || g || 1\2-9g ||
|| 19L1s || 1\20 < g < 1\19 || g = 39\760 || g = 2\39, 3\58, 4\77 || g || -19g+1 ||

=21= 
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L20s || 20\21 < g < 1 || g = 41\42 || g = //21\22, 22\23, 23\24// || 20g-19 || 1-g ||
|| 2L19s || 10\21 < g < 1\2 || g = 41\84 || g = //11\23, 12\25//, 13\27 || 19g-9 || 1-2g ||
|| 3L18s || 6\21 < g < 1\3 || g = 13\42 || g = //7\24//, 8\27, 9\30 || 6g-5\3 || 1\3-g ||
|| 4L17s || 5\21 < g < 1\4 || g = 41\168 || g = //6\25//, 7\29, 8\33 || 17g-2 || 1-4g ||
|| 5L16s || 4\21 < g < 1\5 || g = 41\210 || g = 5\26, 6\31, 7\36 || 16g-3 || 1-5g ||
|| 6L15s || 3\21 < g < 1\6 || g = 13\84 || g = 4\27, 5\33, 6\39 || 5g-2\3 || 1\3-2g ||
|| 7L14s || 2\21 < g < 1\7 || g = 5\42 || g = 3\28, 4\35, 5\42 || 2g-1\7 || 1\7-g ||
|| 8L13s || 13\21 < g < 5\8 || g = 209\336 || g = 18\29, 23\37, 28\45 || 13g-8 || 5-8g ||
|| 9L12s || 2\21 < g < 1\9 || g = 13\126 || g = 3\30, 4\39, 5\48 || 4g-1\3 || 1\3-3g ||
|| 10L11s || 2\21 < g < 1\10 || g = 41\420 || g = 3\31, 4\41, 5\51 || 11g-1 || 1-10g ||
|| 11L10s || 19\21 < g < 10\11 || g = 419\462 || g = 29\32, 39\43, 49\54 || 10g-9 || 10-11g ||
|| 12L9s || 5\21 < g < 3\12 || g = 41\168 || g = 8\33, 11\45, 14\57 || 3g-2\3 || 1-4g ||
|| 13L8s || 8\21 < g < 5\13 || g = 209\546 || g = 13\34, 18\47, 23\70 || 8g-3 || 5-13g ||
|| 14L7s || 1\21 < g < 1\14 || g = 5\84 || g = 2\35, 3\49, 4\63 || g || 1\7-2g ||
|| 15L6s || 4\21 < g < 3\15 || g = 41\210 || g = 7\36, 10\51, 13\66 || 2g-1\3 || 1-5g ||
|| 16L5s || 17\21 < g < 13\16 || g = 545\672 || g = 30\37, 43\53, 56\69 || 5g-4 || 13-16g ||
|| 17L4s || 16\21 < g < 13\17 || g = 545\714 || g = 29\38, 42\55, 55\72 || 4g-3 || 13-17g ||
|| 18L3s || 1\21 < g < 1\18 || g = 13\252 || g = 2\39, 3\57, 4\75 || g || 1\3-6g ||
|| 19L2s || 11\21 < g < 10\19 || g = 419\798 || g = 21\40, 31\59, 41\78 || 2g-1 || 10-19g ||
|| 20L1s || 1\21 < g < 1\20 || g = 41\840 || g = 2\41, 3\61, 4/81 || g || 1-20g ||

=22= 
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff; color: #000000;">Midpoint</span> ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L21s || 21\22 < g < 1 || g = 43\44 || g = //22\23,// //23\24,// //24/25// || 21g-20 || 1-g ||
|| 2L20s || 10\22 < g < 1\2 || g = 21\44 || g = //11\24,// //12\26//, 13\28 || 10g-9\2 || 1\2-g ||
|| 3L19s || 7\22 < g < 1\3 || g = 43\132 || g = //8\25//, 9\28, 10\31 || 19g-6 || 1-3g ||
|| 4L18s || 5\22 < g < 1\4 || g = 21\88 || g = //6\26//, 7\30, 8\34 || 9g-2 || 1\2-2g ||
|| 5L17s || 13\22 < g < 3\5 || g = 131\220 || g = 16\27, 19\32, 22\37 || 17g-10 || 3-5g ||
|| 6L16s || 7\22 < g < 2\6 || g = 43\132 || g = 9\28, 11\34, 13\40 || 8g-5\2 || 1-3g ||
|| 7L15s || 3\22 < g < 1\7 || g = 43\308 || g = 4\29, 5\36, 6\43 || 15g-2 || 1-7g ||
|| 8L14s || 8\22 < g < 3\8 || g = 65\176 || g = 11\30, 14\38, 17\46 || 7g-5\2 || 3\2-4g ||
|| 9L13s || 17\22 < g < 7\9 || g = 307\396 || g = 24\31, 31\40, 38\49 || 13g-10 || 7-9g ||
|| 10L12s || 2\22 < g < 1\10 || g = 21\220 || g = 3\32, 4\42, 5\52 || 6g-1\2 || 1\2-5g ||
|| 11L11s || 1\22 < g < 1\11 || g = 3\44 || g = 2\33, 3\44, 4\55 || g || 1\11-g ||
|| 12L10s || 9\22 < g < 5\12 || g = 109\264 || g = 14\34, 19\46, 24\58 || 5g-2 || 5\2-6g ||
|| 13L9s || 5\22 < g < 3\13 || g = 131\572 || g = 8\35, 11\48, 14\61 || 9g-2 || 3-13g ||
|| 14L8s || 3\22 < g < 2\14 || g = 43\308 || g = 5\36, 7\50, 9\64 || 4g-1\2 || 1-7g ||
|| 15L7s || 19\22 < g < 13\15 || g = 571\660 || g = 32\37, 45\52, 58\67 || 7g-6 || 13-15g ||
|| 16L6s || 4\22 < g < 3\16 || g = 65\352 || g = 7\38, 10\54, 13\70 || 3g-1\2 || 3\2-8g ||
|| 17L5s || 9\22 < g < 7\17 || g = 207\748 || g = 16\39, 23\56, 30\73 || 5g-2 || 7-17g ||
|| 18L4s || 6\22 < g < 5\18 || g = 109\396 || g = 11\40, 16\58, 21\76 || 2g-1\2 || 5\2-9g ||
|| 19L3s || 15\22 < g < 13\19 || g = 571\836 || g = 28\41, 41\60, 54\79 || 3g-2 || 13-19g ||
|| 20L2s || 1\22 < g < 1\20 || g = 21\440 || g = 2\42, 3\62, 4\72 || g || 1\2-10g ||
|| 21L1s || 1\22 < g < 1\21 || g = 43\924 || g = 2\43, 3\64, 4\85 || g || 1-21g ||

=23= 
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L22s || <span style="line-height: 15.6000003814697px;">22\23 < g < 1</span> || g = 45\46 || g = //23\24, 24\25, 25\26// || 22g-21 || 1-g ||
|| 2L21s || 11\23 < g < 1\2 || g = 45\92 || g = //12\25, 13\27//, 14\29 || 21g-10 || 1-2g ||
|| 3L20s || 15\23 < g < 2\3 || g = 91\138 || g = //17\26//, 19\29, 21\32 || 20g-13 || 1-3g ||
|| 4L19s || 17\23 < g < 3\4 || g = 137\184 || g = //20\27//, 23\31, 26\35 || 19g-14 || 3-4g ||
|| 5L18s || 9\23 < g < 2\5 || g = 91\230 || g = 11\28, 13\33, 15\38 || 18g-7 || 2-5g ||
|| 6L17s || 19\23 < g < 5\6 || g = 229\276 || g = 24\29, 29\35, 34\41 || 17g-15 || 1-6g ||
|| 7L16s || 13\23 < g < 4\7 || g = 183\322 || g = 17\30,<span style="line-height: 15.6000003814697px;"> 21\37,</span> 25\44 || 16g-9 || 4-7g ||
|| 8L15s || 20\23 < g < 7\8 || g = 321\368 || g = 27\31, 34\39, 41\47 || 15g-13 || 7-8g ||
|| 9L14s || 5\23 < g < 2\9 || g = 91\414 || g = 7\32, 9\41, 11\50 || 14g-7 || <span style="line-height: 15.6000003814697px;">11-9g</span> ||
|| 10L13s || 16\23 < g < 7\10 || g = 321\460 || g = 23\33, 30\43, 37\53 || 13g-9 || 7-10g ||
|| 11L12s || 2\23 < g < 1\11 || g = 45\506 || g = 3\34, 4\45, 5\56 || 12g-1 || 1-11g ||
|| 12L11s || 21\23 < g < 11\12 || g = 505\552 || g = 32\35, 43\47, 54\59 || <span style="line-height: 15.6000003814697px;">11g-10</span> || 11-12g ||
|| 13L10s || 7\23 < g < 4\13 || g = 183\598 || g = 11\36, 15\49, 19\62 || 10g-3 || 4-13g ||
|| 14L9s || 18\23 < g < 11\14 || g = 505\644 || g = 29\37, 40\51, 51\65 || 9g-7 || 11-14g ||
|| 15L8s || 3\23 < g < 2\15 || g = 91\690 || g = 5\38, 7\53, 9\68 || 8g-1 || 2-15g ||
|| 16L7s || 10\23 < g < 7\16 || g = 321\736 || g = 17\39, 24\55, 31\71 || 7g-3 || <span style="line-height: 15.6000003814697px;">7-16g</span> ||
|| 17L6s || 4\23 < g < 3\17 || g = 137\782 || g = 7\40, 10\57, 13\74 || 6g-1 || 3-17g ||
|| 18L5s || 14\23 < g < 11\18 || g = 505\828 || g = 25\41, 36\59, 47\77 || 5g-4 || 11-18g ||
|| 19L4s || 6\23 < g < 5\19 || g = 229\874 || g = 11\42, 16\61, 21\80 || 4g-1 || 5-19g ||
|| 20L3s || 8\23 < g < 7\20 || g = 321\920 || g = 15\43, 22\63, 29\83 || 3g-1 || 13-20g ||
|| 21L2s || 12\23 < g < 11\21 || g = 505\966 || g = 23\44, 34\65, 45\86 || 2g-1 || 1-21g ||
|| 22L1s || 1\23 < g < 1\22 || g = 45\1012 || g = 2\45, 3\67, 4\89 || g || 1-22g ||

=24= 
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L23s || 23\24 < g < 1 || g = 47\48 || g = //24\25, 25\26, 26\27// || 23g-22 || 1-g ||
|| 2L22s || 11\24 < g < 1\2 || g = 23\48 || g = //12\26, 13\28//, 14\30 || 1/2-g || 11g-5 ||
|| 3L21s || 7\24 < g < 1\3 || g = 15\48 || g = //8\27//, 9\30, 10\33 || 2/3-2g || g-1/3 ||
|| 4L20s || 5\24 < g < 1\4 || g = 11\48 || g = //6\28//, 7\32, 8\36 || 5g-1 || 1/4-g ||
|| 5L19s || 19\24 < g < 4\5 || g = 191\240 || g = //23\29//, 27\34, 31\39 || 19g-15 || 4-5g ||
|| 6L18s || 3\24 < g < 1\6 || g = 7\48 || g = 4\30, 5\36, 6\42 || 3g-1\3 || 1\6-g ||
|| 7L17s || 17\24 < g < 5\7 || g = 239\336 || g = 22\31, 27\38, 32\45 || 5-17g || 7g-2 ||
|| 8L16s || 2\24 < g < 1\8 || g = 5\48 || g = 3\32, 4\40, 5\48 || 2g-1\8 || 1\8-g ||
|| 9L15s || 5\24 < g < 2\9 || g = 31\144 || g = 7\33, 9\42, 11\51 || 5g-1 || 2\3-3g ||
|| 10L14s || 7\24 < g < 3\10 || g = 71\240 || g = 10\34, 13\44, 16\54 || 7g-2 || 3\2-5g ||
|| 11L13s || 13\24 < g < 6\11 || g = 287\528 || g = 19\35, 25\46, 31\57 || 13g-7 || 6-11g ||
|| 12L12s || 1\24 < g < 1\12 || g = 3\48 || g = 2\36, 3\48, 4\60 || g || 1\12-g ||
|| 13L11s || 11\24 < g < 6\13 || g = 287\624 || g = 17\37, 23\50, 29\63 || 11g-5 || 6-13g ||
|| 14L10s || 17\24 < g < 10\14 || g = 239\336 || g = 27\38, 37\52, 47\66 || 3\2-5g || 7g-2 ||
|| 15L9s || 3\24 < g < 2\15 || g = 31\240 || g = 5\39, 7\54, 9\69 || 3g-1\3 || 2\3-5g ||
|| 16L8s || 1\24 < g < 1\16 || g = 5\96 || g = 2\40, 3\56, 4\72 || g || 1\8-2g ||
|| 17L7s || 7\24 < g < 5\17 || g = 239\816 || g = 12\41, 17\58, 22\75 || 4-7g || 17g-12 ||
|| 18L6s || 1\24 < g < 1\18 || g = 7\144 || g = 2\42, 3\60, 4\78 || g || 1\6-3g ||
|| 19L5s || 5\24 < g < 4\19 || g = 191\912 || g = 9\43, 13\62, 17\81 || 5g-5 || 4-19g ||
|| 20L4s || 1\24 < g < 1\20 || g = 11\240 || g = 2\44, 3\64, 4\84 || g || 1\4-5g ||
|| 21L3s || 1\24 < g < 1\21 || g = 15\336 || g = 2\45, 3\66, 4\87 || g || 1\3-7g ||
|| 22L2s || 1\24 < g < 1\22 || g = 23\264 || g = 2\46, 3\68, 4\90 || g || 1\2-11g ||
|| 23L1s || 1\24 < g < 1\23 || g = 47\1104 || g = 2\47, 3\70, 4\93 || g || 1-23g ||

=25= 
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L24s || 24\25 < g < 1 || g = 49\50 || g = //25\26, 26\27, 27\28// || 24g-23 || 1-g ||
|| 2L23s || 12\25 < g < 1\2 || g = 49\100 || g = //13\27, 14\29//, 15\31 || 23g-11 || 1-2g ||
|| 3L22s || 8\25 < g < 1\3 || g = 49\150 || g = //9\28//, 10\31, 11\34 || 22g-7 || 1-3g ||
|| 4L21s || 6\25 < g < 1\4 || g = 49\200 || g = //7\29//, 8\33, 9\37 || 21g-5 || 1-4g ||
|| 5L20s || 4\25 < g < 1\5 || g = 9\50 || g = //5\30//, 6\35, 7\40 || 4g-3\5 || 1\5-g ||
|| 6L19s || 4\25 < g < 1\6 || g = 49\300 || g = 5\31, 6\37, 7\43 || 19g-3 || 1-6g ||
|| 7L18s || 7\25 < g < 2\7 || g = 99\350 || g = 9\32, 11\39, 13\46 || 18g-5 || 2-7g ||
|| 8L17s || 3\25 < g < 1\8 || g = 49\400 || g = 4\33, 5\41, 6\47 || <span style="line-height: 15.6000003814697px;">17g-2</span> || 1-8g ||
|| 9L16s || 11\25 < g < 4\9 || g = 199\450 || g = 15\34, 19\43, 23\52 || 16g-7 || <span style="line-height: 15.6000003814697px;">-9g+4</span> ||
|| 10L15s || 2\25 < g < 1\10 || g = 9\100 || g = 3\35, 4\45, 5\55 || 3g-1\5 || 1\5-2g ||
|| 11L14s || 9\25 < g < 4\11 || g = 199\550 || g = 13\36, 17\47, 21\58 || 14g-5 || -11g+4 ||
|| 12L13s || 2\25 < g < 1\12 || g = 49\600 || g = 3\37, 4\49, 5\61 || 13g-1 || 1-12g ||
|| 13L12s || 23\25 < g < 12\13 || g = 599\650 || g = 35\38, 47\51, 59\64 || 12g-11 || 12-13g ||
|| 14L11s || 16\25 < g < 9\14 || g = 449\700 || g = 25\39, 34\53, 43\67 || 11g-7 || -14g+9 ||
|| 15L10s || 3\25 < g < 2\15 || g = 19\150 || g = 5\40, 7\55, 9\70 || 2g-1\5 || 2\5-3g ||
|| 16L9s || 14\25 < g < 9\16 || g = 449\800 || g = 23\41, 32\57, 41\73 || 9g-5 || 9-16g ||
|| 17L8s || 22\25 < g < 15\17 || g = 749\850 || g = 37\42, 52\59, 67\76 || 8g-7 || 15-17g ||
|| 18L7s || 18\25 < g < 13\18 || g = 649\900 || g = 31\43, 44\61, 57\79 || 7g-5 || 13-18g ||
|| 19L6s || 21\25 < g < 16\19 || g = 799\950 || g = 37\44, 53\63, 69\82 || 6g-5 || 16-19g ||
|| 20L5s || 1\25 < g < 1\20 || g = 9\200 || g = 2\45, 3\65, 4\85 || g || 1\5-4g ||
|| 21L4s || 16\21 < g < 19\25 || g = 799\1050 || g = 35\46, 51\67, 71\88 || 4g-3 || 16-21g ||
|| 22L3s || 17\25 < g < 15\22 || g = 749\1100 || g = 32\47, 47\69, 62\91 || 3g-2 || 15-22g ||
|| 23L2s || 13\25 < g < 12\23 || g = 599\1150 || g = 25\48, 37\71, 49\94 || 2g-1 || 11-23g ||
|| 24L1s || 1\25 < g < 1\24 || g = 49\1200 || g = 2\49, 3\73, 4\97 || g || 1-24g ||

=26= 
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L25s || 25\26 < g < 1 || g = 51\52 || g = //26\27, 27\28, 28\29// || 25g-24 || 1-g ||
|| 2L24s || 12\26 < g < 1\2 || g = 25\52 || g = //13\28, 14\30//, 15\32 || 12g-11\2 || 1\2-g ||
|| 3L23s || 17\26 < g < 2\3 || g = 103\156 || g = //19\29//, 21\32, 23\35 || 23g-15 || 2-3g ||
|| 4L22s || 6\26 < g < 1\4 || g = 25\104 || g = //7\30//, 8\34, 9\38 || 11g-5\2 || <span style="line-height: 15.6000003814697px;">1\2-2g</span> ||
|| 5L21s || 5\26 < g < 1\5 || g = 51\260 || g = //6\31//, 7\36, 8\41 || 21g-4 || 1-5g ||
|| 6L20s || 4\26 < g < 1\6 || g = 25\156 || g = 5\32, 6\38, 7\44 || 10g-3\2 || 1\2-3g ||
|| 7L19s || 11\26 < g < 3\7 || g = 155\364 || g = 14\33, 17\40, 20\47 || 19g-8 || 3-7g ||
|| 8L18s || 3\26 < g < 1\8 || g = 25\208 || g = 4\34, 5\42, 6\50 || 9g-1 || 1\2-4g ||
|| 9L17s || 23\26 < g < 8\9 || g = 415\468 || g = 31\35, 39\44, 47\53 || 17g-15 || 8-9g ||
|| 10L16s || 5\26 < g < 2\10 || g = 51\260 || g = 7\36, 9\46, 11\56 || 8g-3\2 || 1-5g ||
|| 11L15s || 7\26 < g < 3\11 || g = 155\572 || g = 10\37, 13\48, 16\59 || 15g-4 || 3-11g ||
|| 12L14s || 2\26 < g < 1\12 || g = 25\312 || g = 3\38, 4\50, 5\62 || 7g-1\2 || 1\2-6g ||
|| 13L13s || 1\26 < g < 1\13 || g = 3\52 || g = 2\39, 3\52, 4\65 || g || 1\13-g ||
|| <span style="line-height: 15.6000003814697px;">14L12s</span> || 11\26 < g < 6\14 || g = 155\364 || g = 17\40, 23\54, 29\68 || 6g-5\2 || 3-7g ||
|| <span style="line-height: 15.6000003814697px;">15L11s</span> || 19\26 < g < 11\15 || g = 571\780 || g = 30\41, 41\56, 52\71 || 11g-8 || 11-15g ||
|| <span style="line-height: 15.6000003814697px;">16L10s</span> || 8\26 < g < 5\16 || g = 129\416 || g = 13\42, 18\58, 23\74 || 13\2-8g || 5g-4 ||
|| <span style="line-height: 15.6000003814697px;">17L9s</span> || 3\26 < g < 2\17 || g = 103\884 || g = 5\43, 7\60, 9\77 || 9g-1 || 2-17g ||
|| <span style="line-height: 15.6000003814697px;">18L</span>8s || 10\26 < g < 7\18 || g = 181\468 || g = 17\44, 24\62, 31\80 || 4g-7\2 || 7-9g ||
|| <span style="line-height: 15.6000003814697px;">19L</span>7s || 15\26 < g < 11\19 || g = 571\988 || g = 26\45, 37\64, 48\83 || 7g-4 || 11-19g ||
|| <span style="line-height: 15.6000003814697px;">20L</span>6s || 9\26 < g < 7\20 || g = 181\520 || g = 16\46, 23\66, 30\86 || 3g-1 || 7\2-10g ||
|| <span style="line-height: 15.6000003814697px;">21L</span>5s || 21\26 < g < 17\21 || g = 883\1092 || g = 38\47, 55\68, 72\89 || 5g-4 || 16-21g ||
|| <span style="line-height: 15.6000003814697px;">22L</span>4s || 7\26 < g < 6\22 || g = 155\572 || g = 13\48, 19\70, 25\92 || 2g-1\2 || 3-11g ||
|| <span style="line-height: 15.6000003814697px;">23L</span>3s || 9\26 < g < 8\23 || g = 415\1196 || g = 17\49, 25\72, 33/95 || 3g-1 || 8-23g ||
|| <span style="line-height: 15.6000003814697px;">24L</span>2s || 1\26 < g < 1\24 || g = 25\312 || g = 2\50, 3\74, 4\98 || g || 1\2-12g ||
|| 25L1s || 1\26 < g < 1\25 || g = 51\1300 || g = 2\51, 3\76, 4\101 || g || 1-25g ||

=27= 
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L26s || 26\27 < g < 1 || g = 53\54 || <span style="line-height: 15.6000003814697px;">g = //27\28,//</span> //28\29, 29\30// || 26g-25 || 1-g ||
|| 2L25s || 13\27 < g < 1\2 || g = 53\108 || g = //14\29, 15\31//, 16\33 || 25g-12 || 1-2g ||
|| 3L24s || 8\27 < g < 1\3 || g = 17\54 || g = //9\30//, 10\33, 11\36 || 8g-7\3 || 1-3g ||
|| 4L23s || 20\27 < g < 3\4 || g = 161\216 || g = //23\31//, 26\35, 29\39 || 23g-17 || 3-4g ||
|| 5L22s || 16\27 < g < 3\5 || g = 161\270 || g = //19\32//, 22\37, 25\42 || 22g-13 || 3-5g ||
|| 6L21s || 4\27 < g < 1\6 || g = 17\108 || g = 5\33, 6\39, 7\45 || 7g-1 || 1\3-2g ||
|| 7L20s || 23\27 < g < 6\7 || g = 323\378 || g = 29\34, 35\41, 41\48 || 20g-17 || 6-7g ||
|| 8L19s || 10\27 < g < 3\8 || g = 161\432 || g = 13\35, 16\43, 19\51 || 19g-7 || 3-8g ||
|| 9L18s || 2\27 < g < 1\9 || g = 5\54 || g = 3\36, 4\45, 5\54 || 2g-1\9 || 1\9-g ||
|| 10L17s || 8\27 < g < 3\10 || g = 161\540 || g = 11\37, 14\47, 17\57 || 17g-5 || 3-10g ||
|| 11L16s || 22\27 < g < 9\11 || g = 485\594 || g = 31\38, 40\49, 49\60 || 16g-13 || 9-11g ||
|| 12L15s || 2\27 < g < 1\12 || g = 17\216 || g = 3\39, 4\51, 5\63 || 5g-1\3 || 1\3-4g ||
|| 13L14s || 2\27 < g < 1\13 || g = 53\702 || g = 3\40, 4\53, 5\66 || 14g-1 || 1-13g ||
|| 14L13s || 25\27 < g < 13\14 || g = 701\756 || g = 38\41, 51\55, 64\69 || 13g-12 || 13-14g ||
|| 15L12s || 7\27 < g < 4\15 || g = 71\270 || g = 11\42, 15\57, 19\72 || 4g-4 || 14\3-5g ||
|| 16L11s || 5\27 < g < 3\16 || g = 161\864 || g = 8\43, 11\59, 14\75 || 11g-2 || 3-16g ||
|| 17L10s || 19\27 < g < 12\17 || g = 647\918 || g = 31\44, 43\61, 55\78 || 10g-7 || 12-17g ||
|| 18L9s || 1\27 < g < 1\18 || g = 5\108 || g = 2\45, 3\63, 4\81 || g || 1\9-2g ||
|| 19L8s || 17\27 < g < 12\19 || g = 647\1026 || g = 29\46, 41\65, 53\84 || 8g-5 || 12-19g ||
|| 20L7s || 4\27 < g < 3\20 || g = 161\1080 || g = 7\47, 10\67, 13\87 || 7g-1 || 3-20g ||
|| 21L6s || 5\27 < g < 4\21 || g = 71\378 || g = 9\48, 13\69, 17\90 || 2g-1\3 || 4-7g ||
|| 22L5s || <span style="line-height: 15.6000003814697px;">11</span>\27 < g < 9\22 || g = 485\1188 || g = 20\49, 29\71, 38\93 || 5g-2 || 9-22g ||
|| 23L4s || 7\27 < g < 6\23 || g = 323\1242 || g = 13\50, 19\73, 25\96 || 4g-1 || 6-23g ||
|| 24L3s || 1\27 < g < 1\24 || g = 17\432 || g = 2\51, 3\75, 4\99 || g || 1\3-8g ||
|| 25L2s || 14\27 < g < 13\25 || g = 701\1350 || g = 27\52, 40\77, 53\102 || 2g-1 || 13-25g ||
|| 26L1s || 1\27 < g < 1\26 || g = 53\1404 || g = 2\53, 3\79, 4\105 || g || 1-26g ||

=28= 
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L27s || 27\28 < g < 1 || g = 55\56 || g = //28\29,// //29\30, 30\31// || 27g-26 || 1-g ||
|| 2L26s || 13\28 < g < 1\2 || g = 27\56 || g = //14\30, 15\32//, 16\34 || 13g-6 || 1\2-g ||
|| 3L25s || 9\28 < g < 1\3 || g = 55\168 || g = //10\31//,<span style="line-height: 15.6000003814697px;"> 11\34,</span> 12\37 || 25g-8 || 1-3g ||
|| 4L24s || 6\28 < g < 1\4 || g = 13\56 || g = //7\32//, 8\36, 9\40 || 6g-5\4 || 1\4-g ||
|| 5L23s || 11\28 < g < 2\5 || g = 111\280 || g = //13\33//, 15\38, 17\43 || 23g-9 || 2-5g ||
|| 6L22s || 9\28 < g < 2\6 || g = 55\168 || g = 11\34, 13\40, 15\46 || 11g-7\2 || 1-3g ||
|| 7L21s || 3\28 < g < 1\7 || g = 7\56 || g = 4\35, 5\42, 6\49 || 3g-2\7 || 1\7-g ||
|| 8L20s || 3\28 < g < 1\8 || g = 13\112 || g = 4\36, 5\44, 6\52 || 5g-1\2 || 1\4-2g ||
|| 9L19s || 3\28 < g < 1\9 || g = 55\504 || g = 4\37, 5\46, 6\55 || 19g-2 || 1-9g ||
|| 10L18s || 11\28 < g < 4\10 || g = 111\280 || g = 15\38, 19\48, 23\58 || 4g-7\2 || 2-5g ||
|| 11L17s || 5\28 < g < 2\11 || g = 111\616 || g = 7\39, 9\50, 11\61 || 17g-3 || 2-11g ||
|| 12L16s || 2\28 < g < 1\12 || g = 13\168 || g = 3\40, 4\52, 5\64 || 4g-1\4 || 1\4-3g ||
|| 13L15s || 15\28 < g < 7\13 || g = 391\728 || g = 22\41, 29\54, 36\67 || 15g-8 || 7-13g ||
|| 14L14s || 1\28 < g < 1\14 || g = 3\56 || g = 2\42, 3\56, 4\70 || g || 1\14-g ||
|| <span style="line-height: 15.6000003814697px;">15L13s</span> || 13\28 < g < 7\15 || g = 391\840 || g = 20\43, 27\58, 34\73 || 13g-6 || 7-15g ||
|| <span style="line-height: 15.6000003814697px;">16L12s</span> || 5\28 < g < 3\16 || g = 41\224 || g = 8\44, 11\60, 14\76 || 3g-1\2 || 3\4-4g ||
|| <span style="line-height: 15.6000003814697px;">17L11s</span> || 23\28 < g < 14\17 || g = 783\952 || g = 37\45, 51\62, 65\79 || 11g-9 || 13-17g ||
|| <span style="line-height: 15.6000003814697px;">18L10s</span> || 3\28 < g < 2\18 || g = 55\504 || g = 5\46, 7\64, 9\82 || 5g-1\2 || 1-9g ||
|| <span style="line-height: 15.6000003814697px;">19L9s</span> || 25\28 < g < 17\19 || g = 951\1064 || g = 42\47, 59\66, 76\85 || 9g-8 || 17-19g ||
|| <span style="line-height: 15.6000003814697px;">20L</span>8s || 4\28 < g < 3\20 || g = 41\280 || g = 7\48, 10\68, 13\88 || 2g-1\4 || 3\4-5g ||
|| <span style="line-height: 15.6000003814697px;">21L7s</span> || 1\28 < g < 1\21 || g = 7\168 || g = 2\49, 3\70, 4\91 || g || <span style="line-height: 15.6000003814697px;">1\7-3g</span> ||
|| <span style="line-height: 15.6000003814697px;">22L</span>6s || 5\28 < g < 4\22 || g = 111\616 || g = 9\50, 13\72, 17\94 || 3g-1\2 || 2-11g ||
|| <span style="line-height: 15.6000003814697px;">23L</span>5s || 17\28 < g < 14\23 || g = 783\1288 || g = 31\51, 45\74, 59\97 || 5g-3 || 14-23g ||
|| <span style="line-height: 15.6000003814697px;">24L</span>4s || 1\28 < g < 1\24 || g = 13\336 || g = 2\52, 3\76, 4\100 || g || 1\4-6g ||
|| <span style="line-height: 15.6000003814697px;">25L</span>3s || 19\28 < g < 17\25 || g = 951\1400 || g = 36\53, 53\78, 70\103 || 3g-2 || 17-25g ||
|| <span style="line-height: 15.6000003814697px;">26L</span>2s || 15\28 < g < 14\26 || g = 391\728 || g = 29\54, 43\80, 57\106 || g-1\2 || 19\2-13g ||
|| 27L1s || 1\28 < g < 1\27 || g = 55\1512 || g = 2\55, 3\82, 4\109 || g || 1-27g ||

=29= 
||~ Large-small numbers ||~ Generator range ||~ <span style="background-color: #ffffff;">Midpoint</span> ||~ Boundaries of propriety, maximum expressiveness, diatonicity ||~ Large step ||~ Small step ||
|| 1L28s || 28\29 < g < 1 || g = 57\58 || g = //29\30, 30\31, 31\32// || 28g-27 || 1-g ||
|| 2L27s || 14\29 < g < 1\2 || g = 57\116 || g = //15\31//, //16\33//, 17\35 || 27g-13 || 1-2g ||
|| 3L26s || 19\29 < g < 2\3 || g = 115\174 || g = //21\32//, 23\35, 25\38 || 26g-17 || 2-3g ||
|| 4L25s || 7\29 < g < 1\4 || g = 57\232 || g = //8\33//, 9\37, 10\41 || 25g-6 || 1-4g ||
|| 5L24s || 23\29 < g < 4\5 || g = 231\290 || g = //27\34//, 31\39, 35\44 || 24g-19 || 4-5g ||
|| 6L23s || 24\29 < g < 5\6 || g = 289\348 || g = 29\35, 34\41, 39\47 || 23g-19 || 5-6g ||
|| 7L22s || 4\29 < g < 1\7 || g = 57\406 || g = 5\36, 6\43, 7\50 || 22g-3 || 1-7g ||
|| 8L21s || 18\29 < g < 5\8 || g = 289\464 || g = 23\37, 28\45, 33\53 || <span style="line-height: 15.6000003814697px;">21g-13</span> || <span style="line-height: 15.6000003814697px;">5-8g</span> ||
|| 9L20s || 16\29 < g < 5\9 || g = 289\522 || g = 21\38, 26\47, 31\56 || 20g-11 || 5-9g ||
|| 10L19s || 26\29 < g < 9\10 || g = 521\580 || g = 35\39, 44\49, 53\59 || 19g-17 || 9-10g ||
|| 11L18s || 21\29 < g < 8\11 || g = 463\638 || g = 29\40, 37\51, 45\62 || 18g-13 || 8-11g ||
|| 12L17s || 12\29 < g < 5\12 || g = 289\696 || g = 17\41, 22\53, 27\65 || 17g-7 || 5-12g ||
|| 13L16s || 20\29 < g < 9\13 || g = 521\754 || g = 29\42, 38\55, 47\68 || 16g+11 || 9-13g ||
|| 14L15s || 2\29 < g < 1\14 || g = 57\812 || g = 3\43, 4\57, 5\71 || 15g-1 || 1-14g ||
|| 15L14s || 27\29 < g < 14\15 || g = 811\870 || g = 41\44, 55\59, 69\74 || 14g-13 || 14-15g ||
|| 16L13s || 9\29 < g < 5\16 || g = 289\928 || g = 14\45, 19\61, 24\77 || 13g-4 || 5-16g ||
|| 17L12s || 17\29 < g < 10\17 || g = 579\986 || g = 27\46, 37\63, 47\80 || 12g-5 || 7-17g ||
|| 18L11s || 8\29 < g < 5\18 || g = 289\1044 || g = 13\47, 18\65, 23\83 || 11g-3 || 5-18g ||
|| 19L10s || 3\29 < g < 2\19 || g = 115\1102 || g = 5\48, 7\67, 9\86 || 10g-1 || 2-19g ||
|| 20L9s || 13\29 < g < 9\20 || g = 521\1160 || g = 22\49, 31\69, 40\89 || 9g-5 || 9-20g ||
|| 21L8s || 11\29 < g < 8\21 || g = 463\1216 || g = 19\50, 27\71, 35\92 || 8g-3 || 8-21g ||
|| 22L7s || 25\29 < g < 19\22 || g = 1001\1274 || g = 44\51, 63\73, 82\95 || 7g-6 || 9-22g ||
|| 23L6s || 5\29 < g < 4\23 || g = 231\1332 || g = 9\52, 13\75, 17\98 || 6g-1 || 4-23g ||
|| 24L5s || 6\29 < g < 5\24 || g = 289\1392 || g = 11\53, 16\77, 21\101 || 5g-9 || 5-24g ||
|| 25L4s || 22\29 < g < 19\25 || g = 1001\1450 || g = 41\54, 60\79, 79\104 || 4g-3 || 19-25g ||
|| 26L3s || 10\29 < g < 9\26 || g = 521\1508 || g = 19\55, 28\81, 37\107 || 3g-1 || 19\2-26g ||
|| 27L2s || 15\29 < g < 14\27 || g = 811\1564 || g = 29\56, 43\83, 57\110 || 2g-1 || 17-27g ||
|| 28L1s || 1\29 < g < 1\28 || g = 57\1622 || g = 2\57,<span style="line-height: 15.6000003814697px;"> 3\85,</span> 4\113 || g || 1-28g ||

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 29. The ranges are given in fractions of the interval of equivalence, which is normally an octave. The tables give the range of possible generators in the second column, normalized so that the lower end of the range is where L/s = 1 (Nedo). The third column gives the midpoint of the range. Finally, the fourth column gives the boundaries of propriety, maximum expressiveness and diatonicity.<br />
<br />
If the number of the <a class="wiki_link" href="/Interval%20class" target="_blank">generic interval</a> to which the generator g belongs is C, and there are N scale steps to the interval of equivalence, then the average the size of an interval in class C is C/N. We have normalized so that C/N is the lower bound of the range of generators; since therefore g &gt; C/N, g is larger than average and hence is the larger of the two sizes of intervals in its class, which means we have normalized to the <a class="wiki_link" href="/Modal%20UDP%20Notation" target="_blank">chroma-positive</a> generator. We have normalized to the formula fir the step size where the leading term is positive.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x2, 3, 4"></a><!-- ws:end:WikiTextHeadingRule:0 -->2, 3, 4</h1>
 <strong>Note: These sets are given for the sake of completeness as they are not really scales</strong><br />


<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th>Midpoint<br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L1s<br />
</td>
        <td>1\2 &lt; g &lt; 1<br />
</td>
        <td>g = 3\4<br />
</td>
        <td>g = 2\3, 3\4, 4\5<br />
</td>
        <td>g<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>1L2s<br />
</td>
        <td>2\3 &lt; g &lt; 1<br />
</td>
        <td>g = 5\6<br />
</td>
        <td>g = 3\4, 4\5, 5\6<br />
</td>
        <td>2g-1<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L1s<br />
</td>
        <td>1\3 &lt; g &lt; 1\2<br />
</td>
        <td>g = 5\12<br />
</td>
        <td>g = 2\5, 3\7, 4\9<br />
</td>
        <td>g<br />
</td>
        <td>1-2g<br />
</td>
    </tr>
    <tr>
        <td>1L3s<br />
</td>
        <td>3\4 &lt; g &lt; 1<br />
</td>
        <td>g = 7\8<br />
</td>
        <td>g = 4\5, 5\6, 6\7<br />
</td>
        <td>3g-2<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L2s<br />
</td>
        <td>1\4 &lt; g &lt; 1\2<br />
</td>
        <td>g = 3\8<br />
</td>
        <td>g = 2\6, 3\8, 4\10<br />
</td>
        <td>g<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L1s<br />
</td>
        <td>1\4 &lt; g &lt; 1\3<br />
</td>
        <td>g = 7\24<br />
</td>
        <td>g = 2\7, 3\10, 4\13<br />
</td>
        <td>g<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:2:&lt;h1&gt; --><h1 id="toc1"><a name="x5"></a><!-- ws:end:WikiTextHeadingRule:2 -->5</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th>Midpoint<br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L4s<br />
</td>
        <td>4\5 &lt; g &lt; 1<br />
</td>
        <td>g = 9\10<br />
</td>
        <td>g = 5\6, 6\7, 7\8<br />
</td>
        <td>4g-3<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L3s<br />
</td>
        <td>2\5 &lt; g &lt; 1\2<br />
</td>
        <td>g = 9\20<br />
</td>
        <td>g = 3\7, 4\9, 5\11<br />
</td>
        <td>3g-1<br />
</td>
        <td>1-2g<br />
</td>
    </tr>
    <tr>
        <td>3L2s<br />
</td>
        <td>3\5 &lt; g &lt; 2\3<br />
</td>
        <td>g = 19\30<br />
</td>
        <td>g = 5\8, 7\11, 9\14<br />
</td>
        <td>2g-1<br />
</td>
        <td>2-3g<br />
</td>
    </tr>
    <tr>
        <td>4L1s<br />
</td>
        <td>1\5 &lt; g &lt; 1\4<br />
</td>
        <td>g = 9\40<br />
</td>
        <td>g = 2\9, 3\13, 4\17<br />
</td>
        <td>g<br />
</td>
        <td>1-4g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:4:&lt;h1&gt; --><h1 id="toc2"><a name="x6"></a><!-- ws:end:WikiTextHeadingRule:4 -->6</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th>Midpoint<br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L5s<br />
</td>
        <td>5\6 &lt; g &lt; 1<br />
</td>
        <td>g = 11\12<br />
</td>
        <td>g = 6\7, 7\8, 8\9<br />
</td>
        <td>5g-4<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L4s<br />
</td>
        <td>2\6 &lt; g &lt; 1\2<br />
</td>
        <td>g = 5\12<br />
</td>
        <td>g = 3\8, 4\10, 5\12<br />
</td>
        <td>2g-1\2<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L3s<br />
</td>
        <td>1\6 &lt; g &lt; 1\3<br />
</td>
        <td>g = 3\12<br />
</td>
        <td>g = 2\9, 3\12, 4\15<br />
</td>
        <td>g<br />
</td>
        <td>1\3-g<br />
</td>
    </tr>
    <tr>
        <td>4L2s<br />
</td>
        <td>1\6 &lt; g &lt; 1\4<br />
</td>
        <td>g = 5\24<br />
</td>
        <td>g = 2\10, 3\14, 4\18<br />
</td>
        <td>g<br />
</td>
        <td>1\2-2g<br />
</td>
    </tr>
    <tr>
        <td>5L1s<br />
</td>
        <td>1\6 &lt; g &lt; 1\5<br />
</td>
        <td>g = 11\60<br />
</td>
        <td>g = 2\11, 3\16, 4\21<br />
</td>
        <td>g<br />
</td>
        <td>1-5g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:6:&lt;h1&gt; --><h1 id="toc3"><a name="x7"></a><!-- ws:end:WikiTextHeadingRule:6 -->7</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th>Midpoint<br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L6s<br />
</td>
        <td>6\7 &lt; g &lt; 1<br />
</td>
        <td>g = 13\14<br />
</td>
        <td>g = 7\8, 8\9, 9\10<br />
</td>
        <td>6g-5<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L5s<br />
</td>
        <td>3\7 &lt; g &lt; 1\2<br />
</td>
        <td>g = 13\28<br />
</td>
        <td>g = 4\9, 5\11, 6\13<br />
</td>
        <td>5g-2<br />
</td>
        <td>1-2g<br />
</td>
    </tr>
    <tr>
        <td>3L4s<br />
</td>
        <td>2\7 &lt; g &lt; 1\3<br />
</td>
        <td>g = 13\42<br />
</td>
        <td>g = 3\10, 4\13, 5\16<br />
</td>
        <td>4g-1<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>4L3s<br />
</td>
        <td>5\7 &lt; g &lt; 3\4<br />
</td>
        <td>g = 41\56<br />
</td>
        <td>g = 8\11, 11\15, 14\19<br />
</td>
        <td>3g-2<br />
</td>
        <td>3-4g<br />
</td>
    </tr>
    <tr>
        <td>5L2s<br />
</td>
        <td>4\7 &lt; g &lt; 3\5<br />
</td>
        <td>g = 41\70<br />
</td>
        <td>g = 7\12, 10\17, 13\22<br />
</td>
        <td>2g-1<br />
</td>
        <td>3-5g<br />
</td>
    </tr>
    <tr>
        <td>6L1s<br />
</td>
        <td>1\7 &lt; g &lt; 1\6<br />
</td>
        <td>g = 13\84<br />
</td>
        <td>g = 2\13, 3\19, 4\25<br />
</td>
        <td>g<br />
</td>
        <td>1-6g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:8:&lt;h1&gt; --><h1 id="toc4"><a name="x8"></a><!-- ws:end:WikiTextHeadingRule:8 -->8</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th>Midpoint<br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L7s<br />
</td>
        <td>7\8 &lt; g &lt; 1<br />
</td>
        <td>g = 15\16<br />
</td>
        <td>g = 8\9, 9\10, 10\11<br />
</td>
        <td>7g-6<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L6s<br />
</td>
        <td>3\8 &lt; g &lt; 1\2<br />
</td>
        <td>g = 7\16<br />
</td>
        <td>g = 4\10, 5\12, 6\14<br />
</td>
        <td>3g-1<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L5s<br />
</td>
        <td>5\8 &lt; g &lt; 2\3<br />
</td>
        <td>g = 31\48<br />
</td>
        <td>g = 7\11, 9\14, 11\17<br />
</td>
        <td>5g-3<br />
</td>
        <td>2-3g<br />
</td>
    </tr>
    <tr>
        <td>4L4s<br />
</td>
        <td>1\8 &lt; g &lt; 1\4<br />
</td>
        <td>g = 3\16<br />
</td>
        <td>g = 2\12, 3\16, 4\20<br />
</td>
        <td>g<br />
</td>
        <td>1\4-g<br />
</td>
    </tr>
    <tr>
        <td>5L3s<br />
</td>
        <td>3\8 &lt; g &lt; 2\5<br />
</td>
        <td>g = 31\80<br />
</td>
        <td>g = 5\13, 7\18, 9\23<br />
</td>
        <td>3g-1<br />
</td>
        <td>2-5g<br />
</td>
    </tr>
    <tr>
        <td>6L2s<br />
</td>
        <td>1\8 &lt; g &lt; 1\6<br />
</td>
        <td>g = 7\48<br />
</td>
        <td>g = 2\14, 3\20, 4\26<br />
</td>
        <td>g<br />
</td>
        <td>1\2-3g<br />
</td>
    </tr>
    <tr>
        <td>7L1s<br />
</td>
        <td>1\8 &lt; g &lt; 1\7<br />
</td>
        <td>g = 15\112<br />
</td>
        <td>g = 2\15, 3\22, 4\29<br />
</td>
        <td>g<br />
</td>
        <td>1-7g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:10:&lt;h1&gt; --><h1 id="toc5"><a name="x9"></a><!-- ws:end:WikiTextHeadingRule:10 -->9</h1>
 <strong>Note: italicized generators from here below generate scales which are weakly tonal</strong><br />


<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th>Midpoint<br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L8s<br />
</td>
        <td>8\9 &lt; g &lt; 1<br />
</td>
        <td>g = 17\18<br />
</td>
        <td>g = <em>9\10</em>, 10\11, 11\12<br />
</td>
        <td>8g-7<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L7s<br />
</td>
        <td>4\9 &lt; g &lt; 1\2<br />
</td>
        <td>g = 17\36<br />
</td>
        <td>g = 5\11, 6\13, 7\15<br />
</td>
        <td>7g-3<br />
</td>
        <td>1-2g<br />
</td>
    </tr>
    <tr>
        <td>3L6s<br />
</td>
        <td>2\9 &lt; g &lt; 1\3<br />
</td>
        <td>g = 5\18<br />
</td>
        <td>g = 3\12, 4\15, 5\18<br />
</td>
        <td>2g-1\3<br />
</td>
        <td>1\3-g<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">4L5s<br />
</td>
        <td style="text-align: left;">2\9 &lt; g &lt; 1\4<br />
</td>
        <td style="text-align: left;">g = 17\72<br />
</td>
        <td style="text-align: left;">g = 3\13, 4\17, 5\21<br />
</td>
        <td style="text-align: left;">5g-1<br />
</td>
        <td style="text-align: left;">1-4g<br />
</td>
    </tr>
    <tr>
        <td>5L4s<br />
</td>
        <td>7\9 &lt; g &lt; 4\5<br />
</td>
        <td>g = 71\90<br />
</td>
        <td>g = 11\14, 15\19, 18\23<br />
</td>
        <td>4g-3<br />
</td>
        <td>4-5g<br />
</td>
    </tr>
    <tr>
        <td>6L3s<br />
</td>
        <td>1\9 &lt; g &lt; 1\6<br />
</td>
        <td>g = 5\36<br />
</td>
        <td>g = 2\15, 3\21, 4\27<br />
</td>
        <td>g<br />
</td>
        <td>1\3-2g<br />
</td>
    </tr>
    <tr>
        <td>7L2s<br />
</td>
        <td>5\9 &lt; g &lt; 4\7<br />
</td>
        <td>g = 71\126<br />
</td>
        <td>g = 9\16, 10\23, 17\30<br />
</td>
        <td>2g-1<br />
</td>
        <td>4-7g<br />
</td>
    </tr>
    <tr>
        <td>8L1s<br />
</td>
        <td>1\9 &lt; g &lt; 1\8<br />
</td>
        <td>g = 17\144<br />
</td>
        <td>g = 2\17, 3\25, 4\33<br />
</td>
        <td>g<br />
</td>
        <td>1-8g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="x10"></a><!-- ws:end:WikiTextHeadingRule:12 -->10</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th>Midpoint<br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L9s<br />
</td>
        <td>9\10 &lt; g &lt; 1<br />
</td>
        <td>g = 19\20<br />
</td>
        <td>g = <em>10\11</em>, 11\12, 12\13<br />
</td>
        <td>9g-8<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L8s<br />
</td>
        <td>4\10 &lt; g &lt; 1\2<br />
</td>
        <td>g = 9\20<br />
</td>
        <td>g = 5\12, 6\14, 7\16<br />
</td>
        <td>4g-3\2<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L7s<br />
</td>
        <td>3\10 &lt; g &lt; 1\3<br />
</td>
        <td>g = 19\60<br />
</td>
        <td>g = 4\13, 5\16, 6\19<br />
</td>
        <td>7g-2<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>4L6s<br />
</td>
        <td>2\10 &lt; g &lt; 1\4<br />
</td>
        <td>g = 9\40<br />
</td>
        <td>g = 3\14, 4\18, 5\22<br />
</td>
        <td>3g-1\2<br />
</td>
        <td>1\2-2g<br />
</td>
    </tr>
    <tr>
        <td>5L5s<br />
</td>
        <td>1\10 &lt; g &lt; 1\5<br />
</td>
        <td>g = 3\20<br />
</td>
        <td>g = 2\15, 3\20, 4\25<br />
</td>
        <td>g<br />
</td>
        <td>1\5-g<br />
</td>
    </tr>
    <tr>
        <td>6L4s<br />
</td>
        <td>3\10 &lt; g &lt; 2\6<br />
</td>
        <td>g = 19\60<br />
</td>
        <td>g = 5\16, 7\22, 9\28<br />
</td>
        <td>2g-1\2<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>7L3s<br />
</td>
        <td>7\10 &lt; g &lt; 5\7<br />
</td>
        <td>g = 99\140<br />
</td>
        <td>g = 12\17, 17\24, 22\31<br />
</td>
        <td>3g-2<br />
</td>
        <td>5-7g<br />
</td>
    </tr>
    <tr>
        <td>8L2s<br />
</td>
        <td>1\10 &lt; g &lt; 1\8<br />
</td>
        <td>g = 9\80<br />
</td>
        <td>g = 2\18, 3\26, 4\34<br />
</td>
        <td>g<br />
</td>
        <td>1\2-4g<br />
</td>
    </tr>
    <tr>
        <td>9L1s<br />
</td>
        <td>1\10 &lt; g &lt; 1\9<br />
</td>
        <td>g = 19\180<br />
</td>
        <td>g = 2\19, 3\28, 4\37<br />
</td>
        <td>g<br />
</td>
        <td>1-9g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:14:&lt;h1&gt; --><h1 id="toc7"><a name="x11"></a><!-- ws:end:WikiTextHeadingRule:14 -->11</h1>
 

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

<br />
<!-- ws:start:WikiTextHeadingRule:16:&lt;h1&gt; --><h1 id="toc8"><a name="x12"></a><!-- ws:end:WikiTextHeadingRule:16 -->12</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th>Midpoint<br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L11s<br />
</td>
        <td>11\12 &lt; g &lt; 1<br />
</td>
        <td>g = 23\24<br />
</td>
        <td>g = <em>12\13,</em> <em>13\14</em>, 14\15<br />
</td>
        <td>11g-10<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L10s<br />
</td>
        <td>5\12 &lt; g &lt; 1\2<br />
</td>
        <td>g = 11\24<br />
</td>
        <td>g = <em>6\14</em>, 7\16, 8\18<br />
</td>
        <td>5g-2<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L9s<br />
</td>
        <td>3\12 &lt; g &lt; 1\3<br />
</td>
        <td>g = 7\24<br />
</td>
        <td>g = 4\15, 5\18, 6\21<br />
</td>
        <td>3g-2\3<br />
</td>
        <td>1\3-g<br />
</td>
    </tr>
    <tr>
        <td>4L8s<br />
</td>
        <td>2\12 &lt; g &lt; 1\4<br />
</td>
        <td>g = 5\24<br />
</td>
        <td>g = 3\16, 4\20, 5\24<br />
</td>
        <td>2g-1\4<br />
</td>
        <td>1\4-g<br />
</td>
    </tr>
    <tr>
        <td>5L7s<br />
</td>
        <td>7\12 &lt; g &lt; 3\5<br />
</td>
        <td>g = 71\120<br />
</td>
        <td>g = 10\17, 13\22, 16\27<br />
</td>
        <td>7g-4<br />
</td>
        <td>3-5g<br />
</td>
    </tr>
    <tr>
        <td>6L6s<br />
</td>
        <td>1\12 &lt; g &lt; 1\6<br />
</td>
        <td>g = 3\24<br />
</td>
        <td>g = 2\18, 3\24, 4\30<br />
</td>
        <td>g<br />
</td>
        <td>1\6-g<br />
</td>
    </tr>
    <tr>
        <td>7L5s<br />
</td>
        <td>5\12 &lt; g &lt; 3\7<br />
</td>
        <td>g = 71\168<br />
</td>
        <td>g = 8\19, 11\26, 14\33<br />
</td>
        <td>5g-2<br />
</td>
        <td>3-7g<br />
</td>
    </tr>
    <tr>
        <td>8L4s<br />
</td>
        <td>1\12 &lt; g &lt; 1\8<br />
</td>
        <td>g = 5\48<br />
</td>
        <td>g = 2\20, 3\28, 4\36<br />
</td>
        <td>g<br />
</td>
        <td>1\4-2g<br />
</td>
    </tr>
    <tr>
        <td>9L3s<br />
</td>
        <td>1\12 &lt; g &lt; 1\9<br />
</td>
        <td>g = 7\72<br />
</td>
        <td>g = 2\21, 3\30, 4\39<br />
</td>
        <td>g<br />
</td>
        <td>1\3-3g<br />
</td>
    </tr>
    <tr>
        <td>10L2s<br />
</td>
        <td>1\12 &lt; g &lt; 1\10<br />
</td>
        <td>g = 11\120<br />
</td>
        <td>g = 2\22, 3\32, 4\42<br />
</td>
        <td>g<br />
</td>
        <td>1\2-5g<br />
</td>
    </tr>
    <tr>
        <td>11L1s<br />
</td>
        <td>1\12 &lt; g &lt; 1\11<br />
</td>
        <td>g = 23\264<br />
</td>
        <td>g = 2\23, 3\34, 4\45<br />
</td>
        <td>g<br />
</td>
        <td>1-11g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:18:&lt;h1&gt; --><h1 id="toc9"><a name="x13"></a><!-- ws:end:WikiTextHeadingRule:18 -->13</h1>
 

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

<br />
<!-- ws:start:WikiTextHeadingRule:20:&lt;h1&gt; --><h1 id="toc10"><a name="x14"></a><!-- ws:end:WikiTextHeadingRule:20 -->14</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th>Midpoint<br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L13s<br />
</td>
        <td>13\14 &lt; g &lt; 1<br />
</td>
        <td>g = 27\28<br />
</td>
        <td>g = <em>14\15,</em> <em>15\16</em>, 16\17<br />
</td>
        <td>13g-12<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L12s<br />
</td>
        <td>6\14 &lt; g &lt; 1\2<br />
</td>
        <td>g = 13\28<br />
</td>
        <td>g = <em>7\16</em>, 8\18, 9\20<br />
</td>
        <td>6g-5\2<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L11s<br />
</td>
        <td>9\14 &lt; g &lt; 2\3<br />
</td>
        <td>g = 55\84<br />
</td>
        <td>g = 11\17, 13\20, 15\23<br />
</td>
        <td>11g-7<br />
</td>
        <td>2-3g<br />
</td>
    </tr>
    <tr>
        <td>4L10s<br />
</td>
        <td>3\14 &lt; g &lt; 1\4<br />
</td>
        <td>g = 13\56<br />
</td>
        <td>g = 4\18, 5\22, 6\26<br />
</td>
        <td>5g-1<br />
</td>
        <td>1\2-2g<br />
</td>
    </tr>
    <tr>
        <td>5L9s<br />
</td>
        <td>11\14 &lt; g &lt; 4\5<br />
</td>
        <td>g = 111\140<br />
</td>
        <td>g = 15\19, 19\24, 23\29<br />
</td>
        <td>9g-7<br />
</td>
        <td>4-5g<br />
</td>
    </tr>
    <tr>
        <td>6L8s<br />
</td>
        <td>2\14 &lt; g &lt; 1\6<br />
</td>
        <td>g = 13\84<br />
</td>
        <td>g = 3\20, 4\26, 5\32<br />
</td>
        <td>4g-1\2<br />
</td>
        <td>1\2-3g<br />
</td>
    </tr>
    <tr>
        <td>7L7s<br />
</td>
        <td>1\14 &lt; g &lt; 1\7<br />
</td>
        <td>g = 3\28<br />
</td>
        <td>g = 2\21, 3\28, 4\35<br />
</td>
        <td>g<br />
</td>
        <td>1\7-g<br />
</td>
    </tr>
    <tr>
        <td>8L6s<br />
</td>
        <td>5\14 &lt; g &lt; 3\8<br />
</td>
        <td>g = 41\112<br />
</td>
        <td>g = 8\22, 11\30, 14\38<br />
</td>
        <td>3g-1<br />
</td>
        <td>3\2-4g<br />
</td>
    </tr>
    <tr>
        <td>9L5s<br />
</td>
        <td>3\14 &lt; g &lt; 2\9<br />
</td>
        <td>g = 55\252<br />
</td>
        <td>g = 5\23, 7\32, 9\41<br />
</td>
        <td>5g-1<br />
</td>
        <td>2-9g<br />
</td>
    </tr>
    <tr>
        <td>10L4s<br />
</td>
        <td>4\14 &lt; g &lt; 3\10<br />
</td>
        <td>g = 41\140<br />
</td>
        <td>g = 7\24, 10\34, 13\44<br />
</td>
        <td>2g-1\2<br />
</td>
        <td>3\2-5g<br />
</td>
    </tr>
    <tr>
        <td>11L3s<br />
</td>
        <td>5\14 &lt; g &lt; 4\11<br />
</td>
        <td>g = 111\308<br />
</td>
        <td>g = 9\25, 13\36, 17\47<br />
</td>
        <td>3g-1<br />
</td>
        <td>4-11g<br />
</td>
    </tr>
    <tr>
        <td>12L2s<br />
</td>
        <td>1\14 &lt; g &lt; 1\12<br />
</td>
        <td>g = 13\168<br />
</td>
        <td>g = 2\26, 3\38, 4\50<br />
</td>
        <td>g<br />
</td>
        <td>1\2-6g<br />
</td>
    </tr>
    <tr>
        <td>13L1s<br />
</td>
        <td>1\14 &lt; g &lt; 1\13<br />
</td>
        <td>g = 27\364<br />
</td>
        <td>g = 2\27, 3\40, 4\53<br />
</td>
        <td>g<br />
</td>
        <td>1-13g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:22:&lt;h1&gt; --><h1 id="toc11"><a name="x15"></a><!-- ws:end:WikiTextHeadingRule:22 -->15</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th>Midpoint<br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L14s<br />
</td>
        <td>14\15 &lt; g &lt; 1<br />
</td>
        <td>g = 29\30<br />
</td>
        <td>g = <em>15\16,</em> <em>16\17</em>, 17\18<br />
</td>
        <td>14g-13<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L13s<br />
</td>
        <td>7\15 &lt; g &lt; 1\2<br />
</td>
        <td>g = 29\60<br />
</td>
        <td>g = <em>8\17</em>, 9\19, 10\21<br />
</td>
        <td>13g-6<br />
</td>
        <td>1-2g<br />
</td>
    </tr>
    <tr>
        <td>3L12s<br />
</td>
        <td>4\15 &lt; g &lt; 1\3<br />
</td>
        <td>g = 9\30<br />
</td>
        <td>g = 5\18, 6\21, 7\24<br />
</td>
        <td>4g-1<br />
</td>
        <td>1\3-g<br />
</td>
    </tr>
    <tr>
        <td>4L11s<br />
</td>
        <td>11\15 &lt; g &lt; 3\4<br />
</td>
        <td>g = 89\120<br />
</td>
        <td>g = 14\19, 17\23, 20\27<br />
</td>
        <td>11g-8<br />
</td>
        <td>3-4g<br />
</td>
    </tr>
    <tr>
        <td>5L10s<br />
</td>
        <td>2\15 &lt; g &lt; 1\5<br />
</td>
        <td>g = 5\30<br />
</td>
        <td>g = 3\20, 4\25, 5\30<br />
</td>
        <td>2g-1\5<br />
</td>
        <td>1\5-g<br />
</td>
    </tr>
    <tr>
        <td>6L9s<br />
</td>
        <td>2\15 &lt; g &lt; 1\6<br />
</td>
        <td>g = 9\60<br />
</td>
        <td>g = 3\21, 4\27, 5\33<br />
</td>
        <td>3g-1\3<br />
</td>
        <td>1\3-2g<br />
</td>
    </tr>
    <tr>
        <td>7L8s<br />
</td>
        <td>2\15 &lt; g &lt; 1\7<br />
</td>
        <td>g = 29\210<br />
</td>
        <td>g = 3\22, 4\29, 5\36<br />
</td>
        <td>8g-1<br />
</td>
        <td>1-7g<br />
</td>
    </tr>
    <tr>
        <td>8L7s<br />
</td>
        <td>13\15 &lt; g &lt; 7\8<br />
</td>
        <td>g = 209\240<br />
</td>
        <td>g = 20\23, 27\31, 34\39<br />
</td>
        <td>7g-6<br />
</td>
        <td>7-8g<br />
</td>
    </tr>
    <tr>
        <td>9L6s<br />
</td>
        <td>3\15 &lt; g &lt; 2\9<br />
</td>
        <td>g = 19\90<br />
</td>
        <td>g = 5\24, 7\33, 9\42<br />
</td>
        <td>2g-1\3<br />
</td>
        <td>2\3-3g<br />
</td>
    </tr>
    <tr>
        <td>10L5s<br />
</td>
        <td>1\15 &lt; g &lt; 1\10<br />
</td>
        <td>g = 5\60<br />
</td>
        <td>g = 2\25, 3\35, 4\45<br />
</td>
        <td>g<br />
</td>
        <td>1\5-2g<br />
</td>
    </tr>
    <tr>
        <td>11L4s<br />
</td>
        <td>4\15 &lt; g &lt; 3\11<br />
</td>
        <td>g = 89\330<br />
</td>
        <td>g = 7\26, 10\37, 13\48<br />
</td>
        <td>4g-1<br />
</td>
        <td>3-11g<br />
</td>
    </tr>
    <tr>
        <td>12L3s<br />
</td>
        <td>1\15 &lt; g &lt; 1\12<br />
</td>
        <td>g = 9\120<br />
</td>
        <td>g = 2\27, 3\39, 4\51<br />
</td>
        <td>g<br />
</td>
        <td>1\3-4g<br />
</td>
    </tr>
    <tr>
        <td>13L2s<br />
</td>
        <td>8\15 &lt; g &lt; 7\13<br />
</td>
        <td>g = 209\390<br />
</td>
        <td>g = 15\28, 22\41, 29\54<br />
</td>
        <td>2g-1<br />
</td>
        <td>7-13g<br />
</td>
    </tr>
    <tr>
        <td>14L1s<br />
</td>
        <td>1\15 &lt; g &lt; 1\14<br />
</td>
        <td>g = 29\420<br />
</td>
        <td>g = 2\29, 3\43, 4\57<br />
</td>
        <td>g<br />
</td>
        <td>1-14g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:24:&lt;h1&gt; --><h1 id="toc12"><a name="x16"></a><!-- ws:end:WikiTextHeadingRule:24 -->16</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th>Midpoint<br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L15s<br />
</td>
        <td>15\16 &lt; g &lt; 1<br />
</td>
        <td>g = 31\32<br />
</td>
        <td>g = <em>16\17,</em> <em>17\18</em>, 18\19<br />
</td>
        <td>15g-14<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L14s<br />
</td>
        <td>7\16 &lt; g &lt; 1\2<br />
</td>
        <td>g = 15\32<br />
</td>
        <td>g = <em>8\18</em>, 9\20, 10\22<br />
</td>
        <td>7g-3<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L13s<br />
</td>
        <td>5\16 &lt; g &lt; 1\3<br />
</td>
        <td>g = 31\96<br />
</td>
        <td>g = 6\19, 7\22, 8\25<br />
</td>
        <td>13g-4<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>4L12s<br />
</td>
        <td>3\16 &lt; g &lt; 1\4<br />
</td>
        <td>g = 7\32<br />
</td>
        <td>g = 4\20, 5\24, 6\28<br />
</td>
        <td>3g-1\2<br />
</td>
        <td>1\4-g<br />
</td>
    </tr>
    <tr>
        <td>5L11s<br />
</td>
        <td>3\16 &lt; g &lt; 1\5<br />
</td>
        <td>g = 31\160<br />
</td>
        <td>g = 4\21, 5\26, 6\31<br />
</td>
        <td>11g-2<br />
</td>
        <td>1-5g<br />
</td>
    </tr>
    <tr>
        <td>6L10s<br />
</td>
        <td>5\16 &lt; g &lt; 2\6<br />
</td>
        <td>g = 31\96<br />
</td>
        <td>g = 7\22, 9\28, 11\34<br />
</td>
        <td>5g-3\2<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>7L9s<br />
</td>
        <td>9\16 &lt; g &lt; 4\7<br />
</td>
        <td>g = 127\224<br />
</td>
        <td>g = 13\23, 17\30, 21\37<br />
</td>
        <td>9g-5<br />
</td>
        <td>4-7g<br />
</td>
    </tr>
    <tr>
        <td>8L8s<br />
</td>
        <td>1\16 &lt; g &lt; 1\8<br />
</td>
        <td>g = 3\32<br />
</td>
        <td>g = 2\24, 3\32, 4\40<br />
</td>
        <td>g<br />
</td>
        <td>1\8-g<br />
</td>
    </tr>
    <tr>
        <td>9L7s<br />
</td>
        <td>7\16 &lt; g &lt; 4\9<br />
</td>
        <td>g = 127\286<br />
</td>
        <td>g = 11\25, 15\34, 19\43<br />
</td>
        <td>7g-3<br />
</td>
        <td>4-9g<br />
</td>
    </tr>
    <tr>
        <td>10L6s<br />
</td>
        <td>3\16 &lt; g &lt; 2\10<br />
</td>
        <td>g = 31\160<br />
</td>
        <td>g = 5\26, 7\36, 8\46<br />
</td>
        <td>3g-1\2<br />
</td>
        <td>1-5g<br />
</td>
    </tr>
    <tr>
        <td>11L5s<br />
</td>
        <td>13\16 &lt; g &lt; 9\11<br />
</td>
        <td>g = 287\352<br />
</td>
        <td>g = 22\27, 31\38, 40\49<br />
</td>
        <td>5g-4<br />
</td>
        <td>9-11g<br />
</td>
    </tr>
    <tr>
        <td>12L4s<br />
</td>
        <td>1\16 &lt; g &lt; 1\12<br />
</td>
        <td>g = 7\48<br />
</td>
        <td>g = 2\28, 3\40, 4\52<br />
</td>
        <td>g<br />
</td>
        <td>1\4-3g<br />
</td>
    </tr>
    <tr>
        <td>13L3s<br />
</td>
        <td>11\16 &lt; g &lt; 9\13<br />
</td>
        <td>g = 287\416<br />
</td>
        <td>g = 20\29, 29\42, 38\55<br />
</td>
        <td>3g-2<br />
</td>
        <td>9-13g<br />
</td>
    </tr>
    <tr>
        <td>14L2s<br />
</td>
        <td>1\16 &lt; g &lt; 1\14<br />
</td>
        <td>g = 15\224<br />
</td>
        <td>g = 2\30, 3\44, 4\58<br />
</td>
        <td>g<br />
</td>
        <td>1\2-7g<br />
</td>
    </tr>
    <tr>
        <td>15L1s<br />
</td>
        <td>1\16 &lt; g &lt; 1\15<br />
</td>
        <td>g = 31\480<br />
</td>
        <td>g = 2\31, 3\46, 4\61<br />
</td>
        <td>g<br />
</td>
        <td>1-15g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:26:&lt;h1&gt; --><h1 id="toc13"><a name="x17"></a><!-- ws:end:WikiTextHeadingRule:26 -->17</h1>
 

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

<br />
<!-- ws:start:WikiTextHeadingRule:28:&lt;h1&gt; --><h1 id="toc14"><a name="x18"></a><!-- ws:end:WikiTextHeadingRule:28 -->18</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L17s<br />
</td>
        <td>17\18 &lt; g &lt; 1<br />
</td>
        <td>g = 35\36<br />
</td>
        <td>g = <em>18\19, 19\20, 20\21</em><br />
</td>
        <td>17g-16<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L16s<br />
</td>
        <td>8\18 &lt; g &lt; 1\2<br />
</td>
        <td>g = 17\36<br />
</td>
        <td>g -= <em>9\20</em>, 10\22, 11\24<br />
</td>
        <td>8g-7\2<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L15s<br />
</td>
        <td>5\18 &lt; g &lt; 1\3<br />
</td>
        <td>g = 11\36<br />
</td>
        <td>g = <em>6\21</em>, 7\24, 8\27<br />
</td>
        <td>5g-4\3<br />
</td>
        <td>1\3-g<br />
</td>
    </tr>
    <tr>
        <td>4L14s<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">4\18 &lt; g &lt; 1\4</span><br />
</td>
        <td>g = 17\72<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">g = 5\22, 6\26,</span> 7\30<br />
</td>
        <td>7g-3\2<br />
</td>
        <td>1\2-2g<br />
</td>
    </tr>
    <tr>
        <td>5L13s<br />
</td>
        <td>7\18 &lt; g &lt; 2\5<br />
</td>
        <td>g = 71\180<br />
</td>
        <td>g = 9\23, 11\28, 13\33<br />
</td>
        <td>13g-5<br />
</td>
        <td>2-5g<br />
</td>
    </tr>
    <tr>
        <td>6L12s<br />
</td>
        <td>2\18 &lt; g &lt; 1\6<br />
</td>
        <td>g = 5\36<br />
</td>
        <td>g = 3\24, 4\30, 5\36<br />
</td>
        <td>2g-1\6<br />
</td>
        <td>1\6-g<br />
</td>
    </tr>
    <tr>
        <td>7L11s<br />
</td>
        <td>5\18 &lt; g &lt; 2\7<br />
</td>
        <td>g = 71\252<br />
</td>
        <td>g = 7\25, 9\32, 11\39<br />
</td>
        <td>11g-3<br />
</td>
        <td>2-7g<br />
</td>
    </tr>
    <tr>
        <td>8L10s<br />
</td>
        <td>2\18 &lt; g &lt; 1\8<br />
</td>
        <td>g = 17\144<br />
</td>
        <td>g = 3\26, 4\34, 5\42<br />
</td>
        <td>5g-1\2<br />
</td>
        <td>1\2-4g<br />
</td>
    </tr>
    <tr>
        <td>9L9s<br />
</td>
        <td>1\18 &lt; g &lt; 1\9<br />
</td>
        <td>g = 3\36<br />
</td>
        <td>g = 2\27, 3\36, 4\45<br />
</td>
        <td>g<br />
</td>
        <td>1\9-g<br />
</td>
    </tr>
    <tr>
        <td>10L8s<br />
</td>
        <td>7\18 &lt; g &lt; 4\10<br />
</td>
        <td>g = 71\180<br />
</td>
        <td>g = 11\28, 15\38, 19\48<br />
</td>
        <td>4g-3\2<br />
</td>
        <td>2-5g<br />
</td>
    </tr>
    <tr>
        <td>11L7s<br />
</td>
        <td>13\18 &lt; g &lt; 8\11<br />
</td>
        <td>g = 287\396<br />
</td>
        <td>g = 21\29, 29\40, 37\51<br />
</td>
        <td>7g-5<br />
</td>
        <td>8-11g<br />
</td>
    </tr>
    <tr>
        <td>12L6s<br />
</td>
        <td>1\18 &lt; g &lt; 1\12<br />
</td>
        <td>g = 5\72<br />
</td>
        <td>g = 2\30, 3\42, 4\54<br />
</td>
        <td>g<br />
</td>
        <td>1\6-2g<br />
</td>
    </tr>
    <tr>
        <td>13L5s<br />
</td>
        <td>11\18 &lt; g &lt; 8\13<br />
</td>
        <td>g = 287\468<br />
</td>
        <td>g = 19\31, 27\44, 35\57<br />
</td>
        <td>5g-3<br />
</td>
        <td>8-13g<br />
</td>
    </tr>
    <tr>
        <td>14L4s<br />
</td>
        <td>5\18 &lt; g &lt; 4\14<br />
</td>
        <td>g = 71\252<br />
</td>
        <td>g = 9\32, 13\46, 17\60<br />
</td>
        <td>2g-1\2<br />
</td>
        <td>2-7g<br />
</td>
    </tr>
    <tr>
        <td>15L3s<br />
</td>
        <td>1\18 &lt; g &lt; 1\15<br />
</td>
        <td>g = 11\180<br />
</td>
        <td>g = 2\33, 3\48, 4\63<br />
</td>
        <td>g<br />
</td>
        <td>1\3-5g<br />
</td>
    </tr>
    <tr>
        <td>16L2s<br />
</td>
        <td>1\18 &lt; g &lt; 1\16<br />
</td>
        <td>g = 17\288<br />
</td>
        <td>g = 2\34, 3\50, 4\66<br />
</td>
        <td>g<br />
</td>
        <td>1\2-8g<br />
</td>
    </tr>
    <tr>
        <td>17L1s<br />
</td>
        <td>1\18 &lt; g &lt; 1\17<br />
</td>
        <td>g = 35\618<br />
</td>
        <td>g = 2\35, 3\52, 4\69<br />
</td>
        <td>g<br />
</td>
        <td>1-17g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:30:&lt;h1&gt; --><h1 id="toc15"><a name="x19"></a><!-- ws:end:WikiTextHeadingRule:30 -->19</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L18s<br />
</td>
        <td>18\19 &lt; g &lt; 1<br />
</td>
        <td>g = 37\38<br />
</td>
        <td>g = <em>19\20, 20\21, 21\22</em><br />
</td>
        <td>18g-17<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L17s<br />
</td>
        <td>9\19 &lt; g &lt; 1\2<br />
</td>
        <td>g = 37\76<br />
</td>
        <td>g = <em>10\21</em>, 11\23, 12\25<br />
</td>
        <td>17g-8<br />
</td>
        <td>1-2g<br />
</td>
    </tr>
    <tr>
        <td>3L16s<br />
</td>
        <td>6\19 &lt; g &lt; 1\3<br />
</td>
        <td>g = 37\114<br />
</td>
        <td>g = <em>7\22</em>, 8\25, 10\31<br />
</td>
        <td>16g-5<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>4L15s<br />
</td>
        <td>14\19 &lt; g &lt; 3\4<br />
</td>
        <td>g = 113\152<br />
</td>
        <td>g = 17\23, 20\27, 23\31<br />
</td>
        <td>15g-11<br />
</td>
        <td>3-4g<br />
</td>
    </tr>
    <tr>
        <td>5L14s<br />
</td>
        <td>15\19 &lt; g &lt; 4\5<br />
</td>
        <td>g = 151\190<br />
</td>
        <td>g = 19\24, 23\29, 27\34<br />
</td>
        <td>14g-11<br />
</td>
        <td>4-5g<br />
</td>
    </tr>
    <tr>
        <td>6L13s<br />
</td>
        <td>3\19 &lt; g &lt; 1\6<br />
</td>
        <td>g = 37\228<br />
</td>
        <td>g = 4\25, 5\31, 6/37<br />
</td>
        <td>13g-2<br />
</td>
        <td>1-6g<br />
</td>
    </tr>
    <tr>
        <td>7L12s<br />
</td>
        <td>8\19 &lt; g &lt; 3\7<br />
</td>
        <td>g = 113\266<br />
</td>
        <td>g = 11\26, 14\33, 17\40<br />
</td>
        <td>12g-5<br />
</td>
        <td>3-7g<br />
</td>
    </tr>
    <tr>
        <td>8L11s<br />
</td>
        <td>7\19 &lt; g &lt; 3\8<br />
</td>
        <td>g = 113\304<br />
</td>
        <td>g = 10\27, 13\35, 16\43<br />
</td>
        <td>11g-4<br />
</td>
        <td>3-8g<br />
</td>
    </tr>
    <tr>
        <td>9L10s<br />
</td>
        <td>2\19 &lt; g &lt; 1\9<br />
</td>
        <td>g = 37\342<br />
</td>
        <td>g = 3\28, 4\37, 5\46<br />
</td>
        <td>10g-1<br />
</td>
        <td>1-9g<br />
</td>
    </tr>
    <tr>
        <td>10L9s<br />
</td>
        <td>17\19 &lt; g &lt; 9\10<br />
</td>
        <td>g = 341\380<br />
</td>
        <td>g = 26\29, 35\39, 44\49<br />
</td>
        <td>9g-8<br />
</td>
        <td>9-10g<br />
</td>
    </tr>
    <tr>
        <td>11L8s<br />
</td>
        <td>12\19 &lt; g &lt; 7\11<br />
</td>
        <td>g = 265\418<br />
</td>
        <td>g = 19\30, 26\41, 33\52<br />
</td>
        <td>8g-5<br />
</td>
        <td>7-11g<br />
</td>
    </tr>
    <tr>
        <td>12L7s<br />
</td>
        <td>11\19 &lt; g &lt; 7\12<br />
</td>
        <td>g = 265\456<br />
</td>
        <td>g = 18\31, 25\43, 32\55<br />
</td>
        <td>7g-4<br />
</td>
        <td>7-12g<br />
</td>
    </tr>
    <tr>
        <td>13L6s<br />
</td>
        <td>16\19 &lt; g &lt; 11\13<br />
</td>
        <td>g = 417\494<br />
</td>
        <td>g = 27\32, 38\45, 49\58<br />
</td>
        <td>6g-5<br />
</td>
        <td>11-13g<br />
</td>
    </tr>
    <tr>
        <td>14L5s<br />
</td>
        <td>4\19 &lt; g &lt; 3\14<br />
</td>
        <td>g = 113\532<br />
</td>
        <td>g = 7\33, 10\47, 13\61<br />
</td>
        <td>5g-1<br />
</td>
        <td>3-14g<br />
</td>
    </tr>
    <tr>
        <td>15L4s<br />
</td>
        <td>5\19 &lt; g &lt; 4\15<br />
</td>
        <td>g = 151\570<br />
</td>
        <td>g = 9\34, 13\49, 17\64<br />
</td>
        <td>4g-1<br />
</td>
        <td>4-15g<br />
</td>
    </tr>
    <tr>
        <td>16L3s<br />
</td>
        <td>13\19 &lt; g &lt; 11\16<br />
</td>
        <td>g = 417\608<br />
</td>
        <td>g = 24\35, 35\51, 46\67<br />
</td>
        <td>3g-2<br />
</td>
        <td>11-16g<br />
</td>
    </tr>
    <tr>
        <td>17L2s<br />
</td>
        <td>10\19 &lt; g &lt; 9\17<br />
</td>
        <td>g = 341\646<br />
</td>
        <td>g = 19\36, 28\53, 37\70<br />
</td>
        <td>2g-1<br />
</td>
        <td>9-17g<br />
</td>
    </tr>
    <tr>
        <td>18L1s<br />
</td>
        <td>1\19 &lt; g &lt; 1\18<br />
</td>
        <td>g = 37\684<br />
</td>
        <td>g = 2\37, 3\55, 4\73<br />
</td>
        <td>g<br />
</td>
        <td>1-18g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:32:&lt;h1&gt; --><h1 id="toc16"><a name="x20"></a><!-- ws:end:WikiTextHeadingRule:32 -->20</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L19s<br />
</td>
        <td>19\20 &lt; g &lt; 1<br />
</td>
        <td>g = 39\40<br />
</td>
        <td>g = <em>20\21, 21\22, 22\23</em><br />
</td>
        <td>19g-18<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L18s<br />
</td>
        <td>9\20 &lt; g &lt; 1\2<br />
</td>
        <td>g = 19\40<br />
</td>
        <td>g = <em>10\22</em>, 11\24, 12\26<br />
</td>
        <td>9g-4<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L17s<br />
</td>
        <td>13\20 &lt; g &lt; 2\3<br />
</td>
        <td>g = 79\120<br />
</td>
        <td>g = <em>15\23</em>, 17\26, 20\29<br />
</td>
        <td>17g-11<br />
</td>
        <td>2-3g<br />
</td>
    </tr>
    <tr>
        <td>4L16s<br />
</td>
        <td>4\20 &lt; g &lt; 1\4<br />
</td>
        <td>g = 9\40<br />
</td>
        <td>g = 5\24, 6\28, 7\32<br />
</td>
        <td>4g-3\4<br />
</td>
        <td>1\4-g<br />
</td>
    </tr>
    <tr>
        <td>5L15s<br />
</td>
        <td>3\20 &lt; g &lt; 1\5<br />
</td>
        <td>g = 7\40<br />
</td>
        <td>g = 4\25, 5\30, 6\35<br />
</td>
        <td>3g-2\5<br />
</td>
        <td>1\5-g<br />
</td>
    </tr>
    <tr>
        <td>6L14s<br />
</td>
        <td>3\20 &lt; g &lt; 1\6<br />
</td>
        <td>g = 19\120<br />
</td>
        <td>g = 4\26, 5\32, 6\38<br />
</td>
        <td>7g-1<br />
</td>
        <td>1\2-3g<br />
</td>
    </tr>
    <tr>
        <td>7L13s<br />
</td>
        <td>17\20 &lt; g &lt; 6\7<br />
</td>
        <td>g = 239\280<br />
</td>
        <td>g = 23\27, 29\34, 35\41<br />
</td>
        <td>13g-11<br />
</td>
        <td>6-7g<br />
</td>
    </tr>
    <tr>
        <td>8L12s<br />
</td>
        <td>2\20 &lt; g &lt; 1\8<br />
</td>
        <td>g = 9\80<br />
</td>
        <td>g = 3\28, 4\36, 5\44<br />
</td>
        <td>3g-1\4<br />
</td>
        <td>1\4-2g<br />
</td>
    </tr>
    <tr>
        <td>9L11s<br />
</td>
        <td>11\20 &lt; g &lt; 5\9<br />
</td>
        <td>g = 199\360<br />
</td>
        <td>g = 16\29, 21\38, 26\47<br />
</td>
        <td>11g-6<br />
</td>
        <td>5-9g<br />
</td>
    </tr>
    <tr>
        <td>10L10s<br />
</td>
        <td>1\20 &lt; g &lt; 1\10<br />
</td>
        <td>g = 3\40<br />
</td>
        <td>g = 2\30, 3\40, 4\50<br />
</td>
        <td>g<br />
</td>
        <td>1\10-g<br />
</td>
    </tr>
    <tr>
        <td>11L9s<br />
</td>
        <td>9\20 &lt; g &lt; 5\11<br />
</td>
        <td>g = 199\440<br />
</td>
        <td>g = 14\31, 19\42, 24\53<br />
</td>
        <td>9g-4<br />
</td>
        <td>5-11g<br />
</td>
    </tr>
    <tr>
        <td>12L8s<br />
</td>
        <td>3\20 &lt; g &lt; 2\12<br />
</td>
        <td>g = 19\120<br />
</td>
        <td>g = 5\32, 7\44, 9\56<br />
</td>
        <td>2g-1\4<br />
</td>
        <td>1\2-3g<br />
</td>
    </tr>
    <tr>
        <td>13L7s<br />
</td>
        <td>3\20 &lt; g &lt; 2\13<br />
</td>
        <td>g = 79\520<br />
</td>
        <td>g = 5\33, 7\46, 9\59<br />
</td>
        <td>7g-1<br />
</td>
        <td>2-13g<br />
</td>
    </tr>
    <tr>
        <td>14L6s<br />
</td>
        <td>7\20 &lt; g &lt; 5\14<br />
</td>
        <td>g = 99\280<br />
</td>
        <td>g = 12\34, 17\48, 22\62<br />
</td>
        <td>3g-1<br />
</td>
        <td>5\2-7g<br />
</td>
    </tr>
    <tr>
        <td>15L5s<br />
</td>
        <td>1\20 &lt; g &lt; 1\15<br />
</td>
        <td>g = 7\120<br />
</td>
        <td>g = 2\35, 3\50, 4\65<br />
</td>
        <td>g<br />
</td>
        <td>1\5-3g<br />
</td>
    </tr>
    <tr>
        <td>16L4s<br />
</td>
        <td>1\20 &lt; g &lt; 1\16<br />
</td>
        <td>g = 9\160<br />
</td>
        <td>g = 2\36, 3\52, 4\68<br />
</td>
        <td>g<br />
</td>
        <td>1\4-4g<br />
</td>
    </tr>
    <tr>
        <td>17L3s<br />
</td>
        <td>7\20 &lt; g &lt; 6\17<br />
</td>
        <td>g = 239\680<br />
</td>
        <td>g = 13\37, 19\54, 25\71<br />
</td>
        <td>3g-1<br />
</td>
        <td>6-17g<br />
</td>
    </tr>
    <tr>
        <td>18L2s<br />
</td>
        <td>1\20 &lt; g &lt; 1\18<br />
</td>
        <td>g = 19\360<br />
</td>
        <td>g = 2\38, 3\56, 4\74<br />
</td>
        <td>g<br />
</td>
        <td>1\2-9g<br />
</td>
    </tr>
    <tr>
        <td>19L1s<br />
</td>
        <td>1\20 &lt; g &lt; 1\19<br />
</td>
        <td>g = 39\760<br />
</td>
        <td>g = 2\39, 3\58, 4\77<br />
</td>
        <td>g<br />
</td>
        <td>-19g+1<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:34:&lt;h1&gt; --><h1 id="toc17"><a name="x21"></a><!-- ws:end:WikiTextHeadingRule:34 -->21</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L20s<br />
</td>
        <td>20\21 &lt; g &lt; 1<br />
</td>
        <td>g = 41\42<br />
</td>
        <td>g = <em>21\22, 22\23, 23\24</em><br />
</td>
        <td>20g-19<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L19s<br />
</td>
        <td>10\21 &lt; g &lt; 1\2<br />
</td>
        <td>g = 41\84<br />
</td>
        <td>g = <em>11\23, 12\25</em>, 13\27<br />
</td>
        <td>19g-9<br />
</td>
        <td>1-2g<br />
</td>
    </tr>
    <tr>
        <td>3L18s<br />
</td>
        <td>6\21 &lt; g &lt; 1\3<br />
</td>
        <td>g = 13\42<br />
</td>
        <td>g = <em>7\24</em>, 8\27, 9\30<br />
</td>
        <td>6g-5\3<br />
</td>
        <td>1\3-g<br />
</td>
    </tr>
    <tr>
        <td>4L17s<br />
</td>
        <td>5\21 &lt; g &lt; 1\4<br />
</td>
        <td>g = 41\168<br />
</td>
        <td>g = <em>6\25</em>, 7\29, 8\33<br />
</td>
        <td>17g-2<br />
</td>
        <td>1-4g<br />
</td>
    </tr>
    <tr>
        <td>5L16s<br />
</td>
        <td>4\21 &lt; g &lt; 1\5<br />
</td>
        <td>g = 41\210<br />
</td>
        <td>g = 5\26, 6\31, 7\36<br />
</td>
        <td>16g-3<br />
</td>
        <td>1-5g<br />
</td>
    </tr>
    <tr>
        <td>6L15s<br />
</td>
        <td>3\21 &lt; g &lt; 1\6<br />
</td>
        <td>g = 13\84<br />
</td>
        <td>g = 4\27, 5\33, 6\39<br />
</td>
        <td>5g-2\3<br />
</td>
        <td>1\3-2g<br />
</td>
    </tr>
    <tr>
        <td>7L14s<br />
</td>
        <td>2\21 &lt; g &lt; 1\7<br />
</td>
        <td>g = 5\42<br />
</td>
        <td>g = 3\28, 4\35, 5\42<br />
</td>
        <td>2g-1\7<br />
</td>
        <td>1\7-g<br />
</td>
    </tr>
    <tr>
        <td>8L13s<br />
</td>
        <td>13\21 &lt; g &lt; 5\8<br />
</td>
        <td>g = 209\336<br />
</td>
        <td>g = 18\29, 23\37, 28\45<br />
</td>
        <td>13g-8<br />
</td>
        <td>5-8g<br />
</td>
    </tr>
    <tr>
        <td>9L12s<br />
</td>
        <td>2\21 &lt; g &lt; 1\9<br />
</td>
        <td>g = 13\126<br />
</td>
        <td>g = 3\30, 4\39, 5\48<br />
</td>
        <td>4g-1\3<br />
</td>
        <td>1\3-3g<br />
</td>
    </tr>
    <tr>
        <td>10L11s<br />
</td>
        <td>2\21 &lt; g &lt; 1\10<br />
</td>
        <td>g = 41\420<br />
</td>
        <td>g = 3\31, 4\41, 5\51<br />
</td>
        <td>11g-1<br />
</td>
        <td>1-10g<br />
</td>
    </tr>
    <tr>
        <td>11L10s<br />
</td>
        <td>19\21 &lt; g &lt; 10\11<br />
</td>
        <td>g = 419\462<br />
</td>
        <td>g = 29\32, 39\43, 49\54<br />
</td>
        <td>10g-9<br />
</td>
        <td>10-11g<br />
</td>
    </tr>
    <tr>
        <td>12L9s<br />
</td>
        <td>5\21 &lt; g &lt; 3\12<br />
</td>
        <td>g = 41\168<br />
</td>
        <td>g = 8\33, 11\45, 14\57<br />
</td>
        <td>3g-2\3<br />
</td>
        <td>1-4g<br />
</td>
    </tr>
    <tr>
        <td>13L8s<br />
</td>
        <td>8\21 &lt; g &lt; 5\13<br />
</td>
        <td>g = 209\546<br />
</td>
        <td>g = 13\34, 18\47, 23\70<br />
</td>
        <td>8g-3<br />
</td>
        <td>5-13g<br />
</td>
    </tr>
    <tr>
        <td>14L7s<br />
</td>
        <td>1\21 &lt; g &lt; 1\14<br />
</td>
        <td>g = 5\84<br />
</td>
        <td>g = 2\35, 3\49, 4\63<br />
</td>
        <td>g<br />
</td>
        <td>1\7-2g<br />
</td>
    </tr>
    <tr>
        <td>15L6s<br />
</td>
        <td>4\21 &lt; g &lt; 3\15<br />
</td>
        <td>g = 41\210<br />
</td>
        <td>g = 7\36, 10\51, 13\66<br />
</td>
        <td>2g-1\3<br />
</td>
        <td>1-5g<br />
</td>
    </tr>
    <tr>
        <td>16L5s<br />
</td>
        <td>17\21 &lt; g &lt; 13\16<br />
</td>
        <td>g = 545\672<br />
</td>
        <td>g = 30\37, 43\53, 56\69<br />
</td>
        <td>5g-4<br />
</td>
        <td>13-16g<br />
</td>
    </tr>
    <tr>
        <td>17L4s<br />
</td>
        <td>16\21 &lt; g &lt; 13\17<br />
</td>
        <td>g = 545\714<br />
</td>
        <td>g = 29\38, 42\55, 55\72<br />
</td>
        <td>4g-3<br />
</td>
        <td>13-17g<br />
</td>
    </tr>
    <tr>
        <td>18L3s<br />
</td>
        <td>1\21 &lt; g &lt; 1\18<br />
</td>
        <td>g = 13\252<br />
</td>
        <td>g = 2\39, 3\57, 4\75<br />
</td>
        <td>g<br />
</td>
        <td>1\3-6g<br />
</td>
    </tr>
    <tr>
        <td>19L2s<br />
</td>
        <td>11\21 &lt; g &lt; 10\19<br />
</td>
        <td>g = 419\798<br />
</td>
        <td>g = 21\40, 31\59, 41\78<br />
</td>
        <td>2g-1<br />
</td>
        <td>10-19g<br />
</td>
    </tr>
    <tr>
        <td>20L1s<br />
</td>
        <td>1\21 &lt; g &lt; 1\20<br />
</td>
        <td>g = 41\840<br />
</td>
        <td>g = 2\41, 3\61, 4/81<br />
</td>
        <td>g<br />
</td>
        <td>1-20g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:36:&lt;h1&gt; --><h1 id="toc18"><a name="x22"></a><!-- ws:end:WikiTextHeadingRule:36 -->22</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff; color: #000000;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L21s<br />
</td>
        <td>21\22 &lt; g &lt; 1<br />
</td>
        <td>g = 43\44<br />
</td>
        <td>g = <em>22\23,</em> <em>23\24,</em> <em>24/25</em><br />
</td>
        <td>21g-20<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L20s<br />
</td>
        <td>10\22 &lt; g &lt; 1\2<br />
</td>
        <td>g = 21\44<br />
</td>
        <td>g = <em>11\24,</em> <em>12\26</em>, 13\28<br />
</td>
        <td>10g-9\2<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L19s<br />
</td>
        <td>7\22 &lt; g &lt; 1\3<br />
</td>
        <td>g = 43\132<br />
</td>
        <td>g = <em>8\25</em>, 9\28, 10\31<br />
</td>
        <td>19g-6<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>4L18s<br />
</td>
        <td>5\22 &lt; g &lt; 1\4<br />
</td>
        <td>g = 21\88<br />
</td>
        <td>g = <em>6\26</em>, 7\30, 8\34<br />
</td>
        <td>9g-2<br />
</td>
        <td>1\2-2g<br />
</td>
    </tr>
    <tr>
        <td>5L17s<br />
</td>
        <td>13\22 &lt; g &lt; 3\5<br />
</td>
        <td>g = 131\220<br />
</td>
        <td>g = 16\27, 19\32, 22\37<br />
</td>
        <td>17g-10<br />
</td>
        <td>3-5g<br />
</td>
    </tr>
    <tr>
        <td>6L16s<br />
</td>
        <td>7\22 &lt; g &lt; 2\6<br />
</td>
        <td>g = 43\132<br />
</td>
        <td>g = 9\28, 11\34, 13\40<br />
</td>
        <td>8g-5\2<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>7L15s<br />
</td>
        <td>3\22 &lt; g &lt; 1\7<br />
</td>
        <td>g = 43\308<br />
</td>
        <td>g = 4\29, 5\36, 6\43<br />
</td>
        <td>15g-2<br />
</td>
        <td>1-7g<br />
</td>
    </tr>
    <tr>
        <td>8L14s<br />
</td>
        <td>8\22 &lt; g &lt; 3\8<br />
</td>
        <td>g = 65\176<br />
</td>
        <td>g = 11\30, 14\38, 17\46<br />
</td>
        <td>7g-5\2<br />
</td>
        <td>3\2-4g<br />
</td>
    </tr>
    <tr>
        <td>9L13s<br />
</td>
        <td>17\22 &lt; g &lt; 7\9<br />
</td>
        <td>g = 307\396<br />
</td>
        <td>g = 24\31, 31\40, 38\49<br />
</td>
        <td>13g-10<br />
</td>
        <td>7-9g<br />
</td>
    </tr>
    <tr>
        <td>10L12s<br />
</td>
        <td>2\22 &lt; g &lt; 1\10<br />
</td>
        <td>g = 21\220<br />
</td>
        <td>g = 3\32, 4\42, 5\52<br />
</td>
        <td>6g-1\2<br />
</td>
        <td>1\2-5g<br />
</td>
    </tr>
    <tr>
        <td>11L11s<br />
</td>
        <td>1\22 &lt; g &lt; 1\11<br />
</td>
        <td>g = 3\44<br />
</td>
        <td>g = 2\33, 3\44, 4\55<br />
</td>
        <td>g<br />
</td>
        <td>1\11-g<br />
</td>
    </tr>
    <tr>
        <td>12L10s<br />
</td>
        <td>9\22 &lt; g &lt; 5\12<br />
</td>
        <td>g = 109\264<br />
</td>
        <td>g = 14\34, 19\46, 24\58<br />
</td>
        <td>5g-2<br />
</td>
        <td>5\2-6g<br />
</td>
    </tr>
    <tr>
        <td>13L9s<br />
</td>
        <td>5\22 &lt; g &lt; 3\13<br />
</td>
        <td>g = 131\572<br />
</td>
        <td>g = 8\35, 11\48, 14\61<br />
</td>
        <td>9g-2<br />
</td>
        <td>3-13g<br />
</td>
    </tr>
    <tr>
        <td>14L8s<br />
</td>
        <td>3\22 &lt; g &lt; 2\14<br />
</td>
        <td>g = 43\308<br />
</td>
        <td>g = 5\36, 7\50, 9\64<br />
</td>
        <td>4g-1\2<br />
</td>
        <td>1-7g<br />
</td>
    </tr>
    <tr>
        <td>15L7s<br />
</td>
        <td>19\22 &lt; g &lt; 13\15<br />
</td>
        <td>g = 571\660<br />
</td>
        <td>g = 32\37, 45\52, 58\67<br />
</td>
        <td>7g-6<br />
</td>
        <td>13-15g<br />
</td>
    </tr>
    <tr>
        <td>16L6s<br />
</td>
        <td>4\22 &lt; g &lt; 3\16<br />
</td>
        <td>g = 65\352<br />
</td>
        <td>g = 7\38, 10\54, 13\70<br />
</td>
        <td>3g-1\2<br />
</td>
        <td>3\2-8g<br />
</td>
    </tr>
    <tr>
        <td>17L5s<br />
</td>
        <td>9\22 &lt; g &lt; 7\17<br />
</td>
        <td>g = 207\748<br />
</td>
        <td>g = 16\39, 23\56, 30\73<br />
</td>
        <td>5g-2<br />
</td>
        <td>7-17g<br />
</td>
    </tr>
    <tr>
        <td>18L4s<br />
</td>
        <td>6\22 &lt; g &lt; 5\18<br />
</td>
        <td>g = 109\396<br />
</td>
        <td>g = 11\40, 16\58, 21\76<br />
</td>
        <td>2g-1\2<br />
</td>
        <td>5\2-9g<br />
</td>
    </tr>
    <tr>
        <td>19L3s<br />
</td>
        <td>15\22 &lt; g &lt; 13\19<br />
</td>
        <td>g = 571\836<br />
</td>
        <td>g = 28\41, 41\60, 54\79<br />
</td>
        <td>3g-2<br />
</td>
        <td>13-19g<br />
</td>
    </tr>
    <tr>
        <td>20L2s<br />
</td>
        <td>1\22 &lt; g &lt; 1\20<br />
</td>
        <td>g = 21\440<br />
</td>
        <td>g = 2\42, 3\62, 4\72<br />
</td>
        <td>g<br />
</td>
        <td>1\2-10g<br />
</td>
    </tr>
    <tr>
        <td>21L1s<br />
</td>
        <td>1\22 &lt; g &lt; 1\21<br />
</td>
        <td>g = 43\924<br />
</td>
        <td>g = 2\43, 3\64, 4\85<br />
</td>
        <td>g<br />
</td>
        <td>1-21g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:38:&lt;h1&gt; --><h1 id="toc19"><a name="x23"></a><!-- ws:end:WikiTextHeadingRule:38 -->23</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L22s<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">22\23 &lt; g &lt; 1</span><br />
</td>
        <td>g = 45\46<br />
</td>
        <td>g = <em>23\24, 24\25, 25\26</em><br />
</td>
        <td>22g-21<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L21s<br />
</td>
        <td>11\23 &lt; g &lt; 1\2<br />
</td>
        <td>g = 45\92<br />
</td>
        <td>g = <em>12\25, 13\27</em>, 14\29<br />
</td>
        <td>21g-10<br />
</td>
        <td>1-2g<br />
</td>
    </tr>
    <tr>
        <td>3L20s<br />
</td>
        <td>15\23 &lt; g &lt; 2\3<br />
</td>
        <td>g = 91\138<br />
</td>
        <td>g = <em>17\26</em>, 19\29, 21\32<br />
</td>
        <td>20g-13<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>4L19s<br />
</td>
        <td>17\23 &lt; g &lt; 3\4<br />
</td>
        <td>g = 137\184<br />
</td>
        <td>g = <em>20\27</em>, 23\31, 26\35<br />
</td>
        <td>19g-14<br />
</td>
        <td>3-4g<br />
</td>
    </tr>
    <tr>
        <td>5L18s<br />
</td>
        <td>9\23 &lt; g &lt; 2\5<br />
</td>
        <td>g = 91\230<br />
</td>
        <td>g = 11\28, 13\33, 15\38<br />
</td>
        <td>18g-7<br />
</td>
        <td>2-5g<br />
</td>
    </tr>
    <tr>
        <td>6L17s<br />
</td>
        <td>19\23 &lt; g &lt; 5\6<br />
</td>
        <td>g = 229\276<br />
</td>
        <td>g = 24\29, 29\35, 34\41<br />
</td>
        <td>17g-15<br />
</td>
        <td>1-6g<br />
</td>
    </tr>
    <tr>
        <td>7L16s<br />
</td>
        <td>13\23 &lt; g &lt; 4\7<br />
</td>
        <td>g = 183\322<br />
</td>
        <td>g = 17\30,<span style="line-height: 15.6000003814697px;"> 21\37,</span> 25\44<br />
</td>
        <td>16g-9<br />
</td>
        <td>4-7g<br />
</td>
    </tr>
    <tr>
        <td>8L15s<br />
</td>
        <td>20\23 &lt; g &lt; 7\8<br />
</td>
        <td>g = 321\368<br />
</td>
        <td>g = 27\31, 34\39, 41\47<br />
</td>
        <td>15g-13<br />
</td>
        <td>7-8g<br />
</td>
    </tr>
    <tr>
        <td>9L14s<br />
</td>
        <td>5\23 &lt; g &lt; 2\9<br />
</td>
        <td>g = 91\414<br />
</td>
        <td>g = 7\32, 9\41, 11\50<br />
</td>
        <td>14g-7<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">11-9g</span><br />
</td>
    </tr>
    <tr>
        <td>10L13s<br />
</td>
        <td>16\23 &lt; g &lt; 7\10<br />
</td>
        <td>g = 321\460<br />
</td>
        <td>g = 23\33, 30\43, 37\53<br />
</td>
        <td>13g-9<br />
</td>
        <td>7-10g<br />
</td>
    </tr>
    <tr>
        <td>11L12s<br />
</td>
        <td>2\23 &lt; g &lt; 1\11<br />
</td>
        <td>g = 45\506<br />
</td>
        <td>g = 3\34, 4\45, 5\56<br />
</td>
        <td>12g-1<br />
</td>
        <td>1-11g<br />
</td>
    </tr>
    <tr>
        <td>12L11s<br />
</td>
        <td>21\23 &lt; g &lt; 11\12<br />
</td>
        <td>g = 505\552<br />
</td>
        <td>g = 32\35, 43\47, 54\59<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">11g-10</span><br />
</td>
        <td>11-12g<br />
</td>
    </tr>
    <tr>
        <td>13L10s<br />
</td>
        <td>7\23 &lt; g &lt; 4\13<br />
</td>
        <td>g = 183\598<br />
</td>
        <td>g = 11\36, 15\49, 19\62<br />
</td>
        <td>10g-3<br />
</td>
        <td>4-13g<br />
</td>
    </tr>
    <tr>
        <td>14L9s<br />
</td>
        <td>18\23 &lt; g &lt; 11\14<br />
</td>
        <td>g = 505\644<br />
</td>
        <td>g = 29\37, 40\51, 51\65<br />
</td>
        <td>9g-7<br />
</td>
        <td>11-14g<br />
</td>
    </tr>
    <tr>
        <td>15L8s<br />
</td>
        <td>3\23 &lt; g &lt; 2\15<br />
</td>
        <td>g = 91\690<br />
</td>
        <td>g = 5\38, 7\53, 9\68<br />
</td>
        <td>8g-1<br />
</td>
        <td>2-15g<br />
</td>
    </tr>
    <tr>
        <td>16L7s<br />
</td>
        <td>10\23 &lt; g &lt; 7\16<br />
</td>
        <td>g = 321\736<br />
</td>
        <td>g = 17\39, 24\55, 31\71<br />
</td>
        <td>7g-3<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">7-16g</span><br />
</td>
    </tr>
    <tr>
        <td>17L6s<br />
</td>
        <td>4\23 &lt; g &lt; 3\17<br />
</td>
        <td>g = 137\782<br />
</td>
        <td>g = 7\40, 10\57, 13\74<br />
</td>
        <td>6g-1<br />
</td>
        <td>3-17g<br />
</td>
    </tr>
    <tr>
        <td>18L5s<br />
</td>
        <td>14\23 &lt; g &lt; 11\18<br />
</td>
        <td>g = 505\828<br />
</td>
        <td>g = 25\41, 36\59, 47\77<br />
</td>
        <td>5g-4<br />
</td>
        <td>11-18g<br />
</td>
    </tr>
    <tr>
        <td>19L4s<br />
</td>
        <td>6\23 &lt; g &lt; 5\19<br />
</td>
        <td>g = 229\874<br />
</td>
        <td>g = 11\42, 16\61, 21\80<br />
</td>
        <td>4g-1<br />
</td>
        <td>5-19g<br />
</td>
    </tr>
    <tr>
        <td>20L3s<br />
</td>
        <td>8\23 &lt; g &lt; 7\20<br />
</td>
        <td>g = 321\920<br />
</td>
        <td>g = 15\43, 22\63, 29\83<br />
</td>
        <td>3g-1<br />
</td>
        <td>13-20g<br />
</td>
    </tr>
    <tr>
        <td>21L2s<br />
</td>
        <td>12\23 &lt; g &lt; 11\21<br />
</td>
        <td>g = 505\966<br />
</td>
        <td>g = 23\44, 34\65, 45\86<br />
</td>
        <td>2g-1<br />
</td>
        <td>1-21g<br />
</td>
    </tr>
    <tr>
        <td>22L1s<br />
</td>
        <td>1\23 &lt; g &lt; 1\22<br />
</td>
        <td>g = 45\1012<br />
</td>
        <td>g = 2\45, 3\67, 4\89<br />
</td>
        <td>g<br />
</td>
        <td>1-22g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:40:&lt;h1&gt; --><h1 id="toc20"><a name="x24"></a><!-- ws:end:WikiTextHeadingRule:40 -->24</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L23s<br />
</td>
        <td>23\24 &lt; g &lt; 1<br />
</td>
        <td>g = 47\48<br />
</td>
        <td>g = <em>24\25, 25\26, 26\27</em><br />
</td>
        <td>23g-22<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L22s<br />
</td>
        <td>11\24 &lt; g &lt; 1\2<br />
</td>
        <td>g = 23\48<br />
</td>
        <td>g = <em>12\26, 13\28</em>, 14\30<br />
</td>
        <td>1/2-g<br />
</td>
        <td>11g-5<br />
</td>
    </tr>
    <tr>
        <td>3L21s<br />
</td>
        <td>7\24 &lt; g &lt; 1\3<br />
</td>
        <td>g = 15\48<br />
</td>
        <td>g = <em>8\27</em>, 9\30, 10\33<br />
</td>
        <td>2/3-2g<br />
</td>
        <td>g-1/3<br />
</td>
    </tr>
    <tr>
        <td>4L20s<br />
</td>
        <td>5\24 &lt; g &lt; 1\4<br />
</td>
        <td>g = 11\48<br />
</td>
        <td>g = <em>6\28</em>, 7\32, 8\36<br />
</td>
        <td>5g-1<br />
</td>
        <td>1/4-g<br />
</td>
    </tr>
    <tr>
        <td>5L19s<br />
</td>
        <td>19\24 &lt; g &lt; 4\5<br />
</td>
        <td>g = 191\240<br />
</td>
        <td>g = <em>23\29</em>, 27\34, 31\39<br />
</td>
        <td>19g-15<br />
</td>
        <td>4-5g<br />
</td>
    </tr>
    <tr>
        <td>6L18s<br />
</td>
        <td>3\24 &lt; g &lt; 1\6<br />
</td>
        <td>g = 7\48<br />
</td>
        <td>g = 4\30, 5\36, 6\42<br />
</td>
        <td>3g-1\3<br />
</td>
        <td>1\6-g<br />
</td>
    </tr>
    <tr>
        <td>7L17s<br />
</td>
        <td>17\24 &lt; g &lt; 5\7<br />
</td>
        <td>g = 239\336<br />
</td>
        <td>g = 22\31, 27\38, 32\45<br />
</td>
        <td>5-17g<br />
</td>
        <td>7g-2<br />
</td>
    </tr>
    <tr>
        <td>8L16s<br />
</td>
        <td>2\24 &lt; g &lt; 1\8<br />
</td>
        <td>g = 5\48<br />
</td>
        <td>g = 3\32, 4\40, 5\48<br />
</td>
        <td>2g-1\8<br />
</td>
        <td>1\8-g<br />
</td>
    </tr>
    <tr>
        <td>9L15s<br />
</td>
        <td>5\24 &lt; g &lt; 2\9<br />
</td>
        <td>g = 31\144<br />
</td>
        <td>g = 7\33, 9\42, 11\51<br />
</td>
        <td>5g-1<br />
</td>
        <td>2\3-3g<br />
</td>
    </tr>
    <tr>
        <td>10L14s<br />
</td>
        <td>7\24 &lt; g &lt; 3\10<br />
</td>
        <td>g = 71\240<br />
</td>
        <td>g = 10\34, 13\44, 16\54<br />
</td>
        <td>7g-2<br />
</td>
        <td>3\2-5g<br />
</td>
    </tr>
    <tr>
        <td>11L13s<br />
</td>
        <td>13\24 &lt; g &lt; 6\11<br />
</td>
        <td>g = 287\528<br />
</td>
        <td>g = 19\35, 25\46, 31\57<br />
</td>
        <td>13g-7<br />
</td>
        <td>6-11g<br />
</td>
    </tr>
    <tr>
        <td>12L12s<br />
</td>
        <td>1\24 &lt; g &lt; 1\12<br />
</td>
        <td>g = 3\48<br />
</td>
        <td>g = 2\36, 3\48, 4\60<br />
</td>
        <td>g<br />
</td>
        <td>1\12-g<br />
</td>
    </tr>
    <tr>
        <td>13L11s<br />
</td>
        <td>11\24 &lt; g &lt; 6\13<br />
</td>
        <td>g = 287\624<br />
</td>
        <td>g = 17\37, 23\50, 29\63<br />
</td>
        <td>11g-5<br />
</td>
        <td>6-13g<br />
</td>
    </tr>
    <tr>
        <td>14L10s<br />
</td>
        <td>17\24 &lt; g &lt; 10\14<br />
</td>
        <td>g = 239\336<br />
</td>
        <td>g = 27\38, 37\52, 47\66<br />
</td>
        <td>3\2-5g<br />
</td>
        <td>7g-2<br />
</td>
    </tr>
    <tr>
        <td>15L9s<br />
</td>
        <td>3\24 &lt; g &lt; 2\15<br />
</td>
        <td>g = 31\240<br />
</td>
        <td>g = 5\39, 7\54, 9\69<br />
</td>
        <td>3g-1\3<br />
</td>
        <td>2\3-5g<br />
</td>
    </tr>
    <tr>
        <td>16L8s<br />
</td>
        <td>1\24 &lt; g &lt; 1\16<br />
</td>
        <td>g = 5\96<br />
</td>
        <td>g = 2\40, 3\56, 4\72<br />
</td>
        <td>g<br />
</td>
        <td>1\8-2g<br />
</td>
    </tr>
    <tr>
        <td>17L7s<br />
</td>
        <td>7\24 &lt; g &lt; 5\17<br />
</td>
        <td>g = 239\816<br />
</td>
        <td>g = 12\41, 17\58, 22\75<br />
</td>
        <td>4-7g<br />
</td>
        <td>17g-12<br />
</td>
    </tr>
    <tr>
        <td>18L6s<br />
</td>
        <td>1\24 &lt; g &lt; 1\18<br />
</td>
        <td>g = 7\144<br />
</td>
        <td>g = 2\42, 3\60, 4\78<br />
</td>
        <td>g<br />
</td>
        <td>1\6-3g<br />
</td>
    </tr>
    <tr>
        <td>19L5s<br />
</td>
        <td>5\24 &lt; g &lt; 4\19<br />
</td>
        <td>g = 191\912<br />
</td>
        <td>g = 9\43, 13\62, 17\81<br />
</td>
        <td>5g-5<br />
</td>
        <td>4-19g<br />
</td>
    </tr>
    <tr>
        <td>20L4s<br />
</td>
        <td>1\24 &lt; g &lt; 1\20<br />
</td>
        <td>g = 11\240<br />
</td>
        <td>g = 2\44, 3\64, 4\84<br />
</td>
        <td>g<br />
</td>
        <td>1\4-5g<br />
</td>
    </tr>
    <tr>
        <td>21L3s<br />
</td>
        <td>1\24 &lt; g &lt; 1\21<br />
</td>
        <td>g = 15\336<br />
</td>
        <td>g = 2\45, 3\66, 4\87<br />
</td>
        <td>g<br />
</td>
        <td>1\3-7g<br />
</td>
    </tr>
    <tr>
        <td>22L2s<br />
</td>
        <td>1\24 &lt; g &lt; 1\22<br />
</td>
        <td>g = 23\264<br />
</td>
        <td>g = 2\46, 3\68, 4\90<br />
</td>
        <td>g<br />
</td>
        <td>1\2-11g<br />
</td>
    </tr>
    <tr>
        <td>23L1s<br />
</td>
        <td>1\24 &lt; g &lt; 1\23<br />
</td>
        <td>g = 47\1104<br />
</td>
        <td>g = 2\47, 3\70, 4\93<br />
</td>
        <td>g<br />
</td>
        <td>1-23g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:42:&lt;h1&gt; --><h1 id="toc21"><a name="x25"></a><!-- ws:end:WikiTextHeadingRule:42 -->25</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L24s<br />
</td>
        <td>24\25 &lt; g &lt; 1<br />
</td>
        <td>g = 49\50<br />
</td>
        <td>g = <em>25\26, 26\27, 27\28</em><br />
</td>
        <td>24g-23<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L23s<br />
</td>
        <td>12\25 &lt; g &lt; 1\2<br />
</td>
        <td>g = 49\100<br />
</td>
        <td>g = <em>13\27, 14\29</em>, 15\31<br />
</td>
        <td>23g-11<br />
</td>
        <td>1-2g<br />
</td>
    </tr>
    <tr>
        <td>3L22s<br />
</td>
        <td>8\25 &lt; g &lt; 1\3<br />
</td>
        <td>g = 49\150<br />
</td>
        <td>g = <em>9\28</em>, 10\31, 11\34<br />
</td>
        <td>22g-7<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>4L21s<br />
</td>
        <td>6\25 &lt; g &lt; 1\4<br />
</td>
        <td>g = 49\200<br />
</td>
        <td>g = <em>7\29</em>, 8\33, 9\37<br />
</td>
        <td>21g-5<br />
</td>
        <td>1-4g<br />
</td>
    </tr>
    <tr>
        <td>5L20s<br />
</td>
        <td>4\25 &lt; g &lt; 1\5<br />
</td>
        <td>g = 9\50<br />
</td>
        <td>g = <em>5\30</em>, 6\35, 7\40<br />
</td>
        <td>4g-3\5<br />
</td>
        <td>1\5-g<br />
</td>
    </tr>
    <tr>
        <td>6L19s<br />
</td>
        <td>4\25 &lt; g &lt; 1\6<br />
</td>
        <td>g = 49\300<br />
</td>
        <td>g = 5\31, 6\37, 7\43<br />
</td>
        <td>19g-3<br />
</td>
        <td>1-6g<br />
</td>
    </tr>
    <tr>
        <td>7L18s<br />
</td>
        <td>7\25 &lt; g &lt; 2\7<br />
</td>
        <td>g = 99\350<br />
</td>
        <td>g = 9\32, 11\39, 13\46<br />
</td>
        <td>18g-5<br />
</td>
        <td>2-7g<br />
</td>
    </tr>
    <tr>
        <td>8L17s<br />
</td>
        <td>3\25 &lt; g &lt; 1\8<br />
</td>
        <td>g = 49\400<br />
</td>
        <td>g = 4\33, 5\41, 6\47<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">17g-2</span><br />
</td>
        <td>1-8g<br />
</td>
    </tr>
    <tr>
        <td>9L16s<br />
</td>
        <td>11\25 &lt; g &lt; 4\9<br />
</td>
        <td>g = 199\450<br />
</td>
        <td>g = 15\34, 19\43, 23\52<br />
</td>
        <td>16g-7<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">-9g+4</span><br />
</td>
    </tr>
    <tr>
        <td>10L15s<br />
</td>
        <td>2\25 &lt; g &lt; 1\10<br />
</td>
        <td>g = 9\100<br />
</td>
        <td>g = 3\35, 4\45, 5\55<br />
</td>
        <td>3g-1\5<br />
</td>
        <td>1\5-2g<br />
</td>
    </tr>
    <tr>
        <td>11L14s<br />
</td>
        <td>9\25 &lt; g &lt; 4\11<br />
</td>
        <td>g = 199\550<br />
</td>
        <td>g = 13\36, 17\47, 21\58<br />
</td>
        <td>14g-5<br />
</td>
        <td>-11g+4<br />
</td>
    </tr>
    <tr>
        <td>12L13s<br />
</td>
        <td>2\25 &lt; g &lt; 1\12<br />
</td>
        <td>g = 49\600<br />
</td>
        <td>g = 3\37, 4\49, 5\61<br />
</td>
        <td>13g-1<br />
</td>
        <td>1-12g<br />
</td>
    </tr>
    <tr>
        <td>13L12s<br />
</td>
        <td>23\25 &lt; g &lt; 12\13<br />
</td>
        <td>g = 599\650<br />
</td>
        <td>g = 35\38, 47\51, 59\64<br />
</td>
        <td>12g-11<br />
</td>
        <td>12-13g<br />
</td>
    </tr>
    <tr>
        <td>14L11s<br />
</td>
        <td>16\25 &lt; g &lt; 9\14<br />
</td>
        <td>g = 449\700<br />
</td>
        <td>g = 25\39, 34\53, 43\67<br />
</td>
        <td>11g-7<br />
</td>
        <td>-14g+9<br />
</td>
    </tr>
    <tr>
        <td>15L10s<br />
</td>
        <td>3\25 &lt; g &lt; 2\15<br />
</td>
        <td>g = 19\150<br />
</td>
        <td>g = 5\40, 7\55, 9\70<br />
</td>
        <td>2g-1\5<br />
</td>
        <td>2\5-3g<br />
</td>
    </tr>
    <tr>
        <td>16L9s<br />
</td>
        <td>14\25 &lt; g &lt; 9\16<br />
</td>
        <td>g = 449\800<br />
</td>
        <td>g = 23\41, 32\57, 41\73<br />
</td>
        <td>9g-5<br />
</td>
        <td>9-16g<br />
</td>
    </tr>
    <tr>
        <td>17L8s<br />
</td>
        <td>22\25 &lt; g &lt; 15\17<br />
</td>
        <td>g = 749\850<br />
</td>
        <td>g = 37\42, 52\59, 67\76<br />
</td>
        <td>8g-7<br />
</td>
        <td>15-17g<br />
</td>
    </tr>
    <tr>
        <td>18L7s<br />
</td>
        <td>18\25 &lt; g &lt; 13\18<br />
</td>
        <td>g = 649\900<br />
</td>
        <td>g = 31\43, 44\61, 57\79<br />
</td>
        <td>7g-5<br />
</td>
        <td>13-18g<br />
</td>
    </tr>
    <tr>
        <td>19L6s<br />
</td>
        <td>21\25 &lt; g &lt; 16\19<br />
</td>
        <td>g = 799\950<br />
</td>
        <td>g = 37\44, 53\63, 69\82<br />
</td>
        <td>6g-5<br />
</td>
        <td>16-19g<br />
</td>
    </tr>
    <tr>
        <td>20L5s<br />
</td>
        <td>1\25 &lt; g &lt; 1\20<br />
</td>
        <td>g = 9\200<br />
</td>
        <td>g = 2\45, 3\65, 4\85<br />
</td>
        <td>g<br />
</td>
        <td>1\5-4g<br />
</td>
    </tr>
    <tr>
        <td>21L4s<br />
</td>
        <td>16\21 &lt; g &lt; 19\25<br />
</td>
        <td>g = 799\1050<br />
</td>
        <td>g = 35\46, 51\67, 71\88<br />
</td>
        <td>4g-3<br />
</td>
        <td>16-21g<br />
</td>
    </tr>
    <tr>
        <td>22L3s<br />
</td>
        <td>17\25 &lt; g &lt; 15\22<br />
</td>
        <td>g = 749\1100<br />
</td>
        <td>g = 32\47, 47\69, 62\91<br />
</td>
        <td>3g-2<br />
</td>
        <td>15-22g<br />
</td>
    </tr>
    <tr>
        <td>23L2s<br />
</td>
        <td>13\25 &lt; g &lt; 12\23<br />
</td>
        <td>g = 599\1150<br />
</td>
        <td>g = 25\48, 37\71, 49\94<br />
</td>
        <td>2g-1<br />
</td>
        <td>11-23g<br />
</td>
    </tr>
    <tr>
        <td>24L1s<br />
</td>
        <td>1\25 &lt; g &lt; 1\24<br />
</td>
        <td>g = 49\1200<br />
</td>
        <td>g = 2\49, 3\73, 4\97<br />
</td>
        <td>g<br />
</td>
        <td>1-24g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:44:&lt;h1&gt; --><h1 id="toc22"><a name="x26"></a><!-- ws:end:WikiTextHeadingRule:44 -->26</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L25s<br />
</td>
        <td>25\26 &lt; g &lt; 1<br />
</td>
        <td>g = 51\52<br />
</td>
        <td>g = <em>26\27, 27\28, 28\29</em><br />
</td>
        <td>25g-24<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L24s<br />
</td>
        <td>12\26 &lt; g &lt; 1\2<br />
</td>
        <td>g = 25\52<br />
</td>
        <td>g = <em>13\28, 14\30</em>, 15\32<br />
</td>
        <td>12g-11\2<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L23s<br />
</td>
        <td>17\26 &lt; g &lt; 2\3<br />
</td>
        <td>g = 103\156<br />
</td>
        <td>g = <em>19\29</em>, 21\32, 23\35<br />
</td>
        <td>23g-15<br />
</td>
        <td>2-3g<br />
</td>
    </tr>
    <tr>
        <td>4L22s<br />
</td>
        <td>6\26 &lt; g &lt; 1\4<br />
</td>
        <td>g = 25\104<br />
</td>
        <td>g = <em>7\30</em>, 8\34, 9\38<br />
</td>
        <td>11g-5\2<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">1\2-2g</span><br />
</td>
    </tr>
    <tr>
        <td>5L21s<br />
</td>
        <td>5\26 &lt; g &lt; 1\5<br />
</td>
        <td>g = 51\260<br />
</td>
        <td>g = <em>6\31</em>, 7\36, 8\41<br />
</td>
        <td>21g-4<br />
</td>
        <td>1-5g<br />
</td>
    </tr>
    <tr>
        <td>6L20s<br />
</td>
        <td>4\26 &lt; g &lt; 1\6<br />
</td>
        <td>g = 25\156<br />
</td>
        <td>g = 5\32, 6\38, 7\44<br />
</td>
        <td>10g-3\2<br />
</td>
        <td>1\2-3g<br />
</td>
    </tr>
    <tr>
        <td>7L19s<br />
</td>
        <td>11\26 &lt; g &lt; 3\7<br />
</td>
        <td>g = 155\364<br />
</td>
        <td>g = 14\33, 17\40, 20\47<br />
</td>
        <td>19g-8<br />
</td>
        <td>3-7g<br />
</td>
    </tr>
    <tr>
        <td>8L18s<br />
</td>
        <td>3\26 &lt; g &lt; 1\8<br />
</td>
        <td>g = 25\208<br />
</td>
        <td>g = 4\34, 5\42, 6\50<br />
</td>
        <td>9g-1<br />
</td>
        <td>1\2-4g<br />
</td>
    </tr>
    <tr>
        <td>9L17s<br />
</td>
        <td>23\26 &lt; g &lt; 8\9<br />
</td>
        <td>g = 415\468<br />
</td>
        <td>g = 31\35, 39\44, 47\53<br />
</td>
        <td>17g-15<br />
</td>
        <td>8-9g<br />
</td>
    </tr>
    <tr>
        <td>10L16s<br />
</td>
        <td>5\26 &lt; g &lt; 2\10<br />
</td>
        <td>g = 51\260<br />
</td>
        <td>g = 7\36, 9\46, 11\56<br />
</td>
        <td>8g-3\2<br />
</td>
        <td>1-5g<br />
</td>
    </tr>
    <tr>
        <td>11L15s<br />
</td>
        <td>7\26 &lt; g &lt; 3\11<br />
</td>
        <td>g = 155\572<br />
</td>
        <td>g = 10\37, 13\48, 16\59<br />
</td>
        <td>15g-4<br />
</td>
        <td>3-11g<br />
</td>
    </tr>
    <tr>
        <td>12L14s<br />
</td>
        <td>2\26 &lt; g &lt; 1\12<br />
</td>
        <td>g = 25\312<br />
</td>
        <td>g = 3\38, 4\50, 5\62<br />
</td>
        <td>7g-1\2<br />
</td>
        <td>1\2-6g<br />
</td>
    </tr>
    <tr>
        <td>13L13s<br />
</td>
        <td>1\26 &lt; g &lt; 1\13<br />
</td>
        <td>g = 3\52<br />
</td>
        <td>g = 2\39, 3\52, 4\65<br />
</td>
        <td>g<br />
</td>
        <td>1\13-g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">14L12s</span><br />
</td>
        <td>11\26 &lt; g &lt; 6\14<br />
</td>
        <td>g = 155\364<br />
</td>
        <td>g = 17\40, 23\54, 29\68<br />
</td>
        <td>6g-5\2<br />
</td>
        <td>3-7g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">15L11s</span><br />
</td>
        <td>19\26 &lt; g &lt; 11\15<br />
</td>
        <td>g = 571\780<br />
</td>
        <td>g = 30\41, 41\56, 52\71<br />
</td>
        <td>11g-8<br />
</td>
        <td>11-15g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">16L10s</span><br />
</td>
        <td>8\26 &lt; g &lt; 5\16<br />
</td>
        <td>g = 129\416<br />
</td>
        <td>g = 13\42, 18\58, 23\74<br />
</td>
        <td>13\2-8g<br />
</td>
        <td>5g-4<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">17L9s</span><br />
</td>
        <td>3\26 &lt; g &lt; 2\17<br />
</td>
        <td>g = 103\884<br />
</td>
        <td>g = 5\43, 7\60, 9\77<br />
</td>
        <td>9g-1<br />
</td>
        <td>2-17g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">18L</span>8s<br />
</td>
        <td>10\26 &lt; g &lt; 7\18<br />
</td>
        <td>g = 181\468<br />
</td>
        <td>g = 17\44, 24\62, 31\80<br />
</td>
        <td>4g-7\2<br />
</td>
        <td>7-9g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">19L</span>7s<br />
</td>
        <td>15\26 &lt; g &lt; 11\19<br />
</td>
        <td>g = 571\988<br />
</td>
        <td>g = 26\45, 37\64, 48\83<br />
</td>
        <td>7g-4<br />
</td>
        <td>11-19g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">20L</span>6s<br />
</td>
        <td>9\26 &lt; g &lt; 7\20<br />
</td>
        <td>g = 181\520<br />
</td>
        <td>g = 16\46, 23\66, 30\86<br />
</td>
        <td>3g-1<br />
</td>
        <td>7\2-10g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">21L</span>5s<br />
</td>
        <td>21\26 &lt; g &lt; 17\21<br />
</td>
        <td>g = 883\1092<br />
</td>
        <td>g = 38\47, 55\68, 72\89<br />
</td>
        <td>5g-4<br />
</td>
        <td>16-21g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">22L</span>4s<br />
</td>
        <td>7\26 &lt; g &lt; 6\22<br />
</td>
        <td>g = 155\572<br />
</td>
        <td>g = 13\48, 19\70, 25\92<br />
</td>
        <td>2g-1\2<br />
</td>
        <td>3-11g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">23L</span>3s<br />
</td>
        <td>9\26 &lt; g &lt; 8\23<br />
</td>
        <td>g = 415\1196<br />
</td>
        <td>g = 17\49, 25\72, 33/95<br />
</td>
        <td>3g-1<br />
</td>
        <td>8-23g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">24L</span>2s<br />
</td>
        <td>1\26 &lt; g &lt; 1\24<br />
</td>
        <td>g = 25\312<br />
</td>
        <td>g = 2\50, 3\74, 4\98<br />
</td>
        <td>g<br />
</td>
        <td>1\2-12g<br />
</td>
    </tr>
    <tr>
        <td>25L1s<br />
</td>
        <td>1\26 &lt; g &lt; 1\25<br />
</td>
        <td>g = 51\1300<br />
</td>
        <td>g = 2\51, 3\76, 4\101<br />
</td>
        <td>g<br />
</td>
        <td>1-25g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:46:&lt;h1&gt; --><h1 id="toc23"><a name="x27"></a><!-- ws:end:WikiTextHeadingRule:46 -->27</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L26s<br />
</td>
        <td>26\27 &lt; g &lt; 1<br />
</td>
        <td>g = 53\54<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">g = <em>27\28,</em></span> <em>28\29, 29\30</em><br />
</td>
        <td>26g-25<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L25s<br />
</td>
        <td>13\27 &lt; g &lt; 1\2<br />
</td>
        <td>g = 53\108<br />
</td>
        <td>g = <em>14\29, 15\31</em>, 16\33<br />
</td>
        <td>25g-12<br />
</td>
        <td>1-2g<br />
</td>
    </tr>
    <tr>
        <td>3L24s<br />
</td>
        <td>8\27 &lt; g &lt; 1\3<br />
</td>
        <td>g = 17\54<br />
</td>
        <td>g = <em>9\30</em>, 10\33, 11\36<br />
</td>
        <td>8g-7\3<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>4L23s<br />
</td>
        <td>20\27 &lt; g &lt; 3\4<br />
</td>
        <td>g = 161\216<br />
</td>
        <td>g = <em>23\31</em>, 26\35, 29\39<br />
</td>
        <td>23g-17<br />
</td>
        <td>3-4g<br />
</td>
    </tr>
    <tr>
        <td>5L22s<br />
</td>
        <td>16\27 &lt; g &lt; 3\5<br />
</td>
        <td>g = 161\270<br />
</td>
        <td>g = <em>19\32</em>, 22\37, 25\42<br />
</td>
        <td>22g-13<br />
</td>
        <td>3-5g<br />
</td>
    </tr>
    <tr>
        <td>6L21s<br />
</td>
        <td>4\27 &lt; g &lt; 1\6<br />
</td>
        <td>g = 17\108<br />
</td>
        <td>g = 5\33, 6\39, 7\45<br />
</td>
        <td>7g-1<br />
</td>
        <td>1\3-2g<br />
</td>
    </tr>
    <tr>
        <td>7L20s<br />
</td>
        <td>23\27 &lt; g &lt; 6\7<br />
</td>
        <td>g = 323\378<br />
</td>
        <td>g = 29\34, 35\41, 41\48<br />
</td>
        <td>20g-17<br />
</td>
        <td>6-7g<br />
</td>
    </tr>
    <tr>
        <td>8L19s<br />
</td>
        <td>10\27 &lt; g &lt; 3\8<br />
</td>
        <td>g = 161\432<br />
</td>
        <td>g = 13\35, 16\43, 19\51<br />
</td>
        <td>19g-7<br />
</td>
        <td>3-8g<br />
</td>
    </tr>
    <tr>
        <td>9L18s<br />
</td>
        <td>2\27 &lt; g &lt; 1\9<br />
</td>
        <td>g = 5\54<br />
</td>
        <td>g = 3\36, 4\45, 5\54<br />
</td>
        <td>2g-1\9<br />
</td>
        <td>1\9-g<br />
</td>
    </tr>
    <tr>
        <td>10L17s<br />
</td>
        <td>8\27 &lt; g &lt; 3\10<br />
</td>
        <td>g = 161\540<br />
</td>
        <td>g = 11\37, 14\47, 17\57<br />
</td>
        <td>17g-5<br />
</td>
        <td>3-10g<br />
</td>
    </tr>
    <tr>
        <td>11L16s<br />
</td>
        <td>22\27 &lt; g &lt; 9\11<br />
</td>
        <td>g = 485\594<br />
</td>
        <td>g = 31\38, 40\49, 49\60<br />
</td>
        <td>16g-13<br />
</td>
        <td>9-11g<br />
</td>
    </tr>
    <tr>
        <td>12L15s<br />
</td>
        <td>2\27 &lt; g &lt; 1\12<br />
</td>
        <td>g = 17\216<br />
</td>
        <td>g = 3\39, 4\51, 5\63<br />
</td>
        <td>5g-1\3<br />
</td>
        <td>1\3-4g<br />
</td>
    </tr>
    <tr>
        <td>13L14s<br />
</td>
        <td>2\27 &lt; g &lt; 1\13<br />
</td>
        <td>g = 53\702<br />
</td>
        <td>g = 3\40, 4\53, 5\66<br />
</td>
        <td>14g-1<br />
</td>
        <td>1-13g<br />
</td>
    </tr>
    <tr>
        <td>14L13s<br />
</td>
        <td>25\27 &lt; g &lt; 13\14<br />
</td>
        <td>g = 701\756<br />
</td>
        <td>g = 38\41, 51\55, 64\69<br />
</td>
        <td>13g-12<br />
</td>
        <td>13-14g<br />
</td>
    </tr>
    <tr>
        <td>15L12s<br />
</td>
        <td>7\27 &lt; g &lt; 4\15<br />
</td>
        <td>g = 71\270<br />
</td>
        <td>g = 11\42, 15\57, 19\72<br />
</td>
        <td>4g-4<br />
</td>
        <td>14\3-5g<br />
</td>
    </tr>
    <tr>
        <td>16L11s<br />
</td>
        <td>5\27 &lt; g &lt; 3\16<br />
</td>
        <td>g = 161\864<br />
</td>
        <td>g = 8\43, 11\59, 14\75<br />
</td>
        <td>11g-2<br />
</td>
        <td>3-16g<br />
</td>
    </tr>
    <tr>
        <td>17L10s<br />
</td>
        <td>19\27 &lt; g &lt; 12\17<br />
</td>
        <td>g = 647\918<br />
</td>
        <td>g = 31\44, 43\61, 55\78<br />
</td>
        <td>10g-7<br />
</td>
        <td>12-17g<br />
</td>
    </tr>
    <tr>
        <td>18L9s<br />
</td>
        <td>1\27 &lt; g &lt; 1\18<br />
</td>
        <td>g = 5\108<br />
</td>
        <td>g = 2\45, 3\63, 4\81<br />
</td>
        <td>g<br />
</td>
        <td>1\9-2g<br />
</td>
    </tr>
    <tr>
        <td>19L8s<br />
</td>
        <td>17\27 &lt; g &lt; 12\19<br />
</td>
        <td>g = 647\1026<br />
</td>
        <td>g = 29\46, 41\65, 53\84<br />
</td>
        <td>8g-5<br />
</td>
        <td>12-19g<br />
</td>
    </tr>
    <tr>
        <td>20L7s<br />
</td>
        <td>4\27 &lt; g &lt; 3\20<br />
</td>
        <td>g = 161\1080<br />
</td>
        <td>g = 7\47, 10\67, 13\87<br />
</td>
        <td>7g-1<br />
</td>
        <td>3-20g<br />
</td>
    </tr>
    <tr>
        <td>21L6s<br />
</td>
        <td>5\27 &lt; g &lt; 4\21<br />
</td>
        <td>g = 71\378<br />
</td>
        <td>g = 9\48, 13\69, 17\90<br />
</td>
        <td>2g-1\3<br />
</td>
        <td>4-7g<br />
</td>
    </tr>
    <tr>
        <td>22L5s<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">11</span>\27 &lt; g &lt; 9\22<br />
</td>
        <td>g = 485\1188<br />
</td>
        <td>g = 20\49, 29\71, 38\93<br />
</td>
        <td>5g-2<br />
</td>
        <td>9-22g<br />
</td>
    </tr>
    <tr>
        <td>23L4s<br />
</td>
        <td>7\27 &lt; g &lt; 6\23<br />
</td>
        <td>g = 323\1242<br />
</td>
        <td>g = 13\50, 19\73, 25\96<br />
</td>
        <td>4g-1<br />
</td>
        <td>6-23g<br />
</td>
    </tr>
    <tr>
        <td>24L3s<br />
</td>
        <td>1\27 &lt; g &lt; 1\24<br />
</td>
        <td>g = 17\432<br />
</td>
        <td>g = 2\51, 3\75, 4\99<br />
</td>
        <td>g<br />
</td>
        <td>1\3-8g<br />
</td>
    </tr>
    <tr>
        <td>25L2s<br />
</td>
        <td>14\27 &lt; g &lt; 13\25<br />
</td>
        <td>g = 701\1350<br />
</td>
        <td>g = 27\52, 40\77, 53\102<br />
</td>
        <td>2g-1<br />
</td>
        <td>13-25g<br />
</td>
    </tr>
    <tr>
        <td>26L1s<br />
</td>
        <td>1\27 &lt; g &lt; 1\26<br />
</td>
        <td>g = 53\1404<br />
</td>
        <td>g = 2\53, 3\79, 4\105<br />
</td>
        <td>g<br />
</td>
        <td>1-26g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:48:&lt;h1&gt; --><h1 id="toc24"><a name="x28"></a><!-- ws:end:WikiTextHeadingRule:48 -->28</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L27s<br />
</td>
        <td>27\28 &lt; g &lt; 1<br />
</td>
        <td>g = 55\56<br />
</td>
        <td>g = <em>28\29,</em> <em>29\30, 30\31</em><br />
</td>
        <td>27g-26<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L26s<br />
</td>
        <td>13\28 &lt; g &lt; 1\2<br />
</td>
        <td>g = 27\56<br />
</td>
        <td>g = <em>14\30, 15\32</em>, 16\34<br />
</td>
        <td>13g-6<br />
</td>
        <td>1\2-g<br />
</td>
    </tr>
    <tr>
        <td>3L25s<br />
</td>
        <td>9\28 &lt; g &lt; 1\3<br />
</td>
        <td>g = 55\168<br />
</td>
        <td>g = <em>10\31</em>,<span style="line-height: 15.6000003814697px;"> 11\34,</span> 12\37<br />
</td>
        <td>25g-8<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>4L24s<br />
</td>
        <td>6\28 &lt; g &lt; 1\4<br />
</td>
        <td>g = 13\56<br />
</td>
        <td>g = <em>7\32</em>, 8\36, 9\40<br />
</td>
        <td>6g-5\4<br />
</td>
        <td>1\4-g<br />
</td>
    </tr>
    <tr>
        <td>5L23s<br />
</td>
        <td>11\28 &lt; g &lt; 2\5<br />
</td>
        <td>g = 111\280<br />
</td>
        <td>g = <em>13\33</em>, 15\38, 17\43<br />
</td>
        <td>23g-9<br />
</td>
        <td>2-5g<br />
</td>
    </tr>
    <tr>
        <td>6L22s<br />
</td>
        <td>9\28 &lt; g &lt; 2\6<br />
</td>
        <td>g = 55\168<br />
</td>
        <td>g = 11\34, 13\40, 15\46<br />
</td>
        <td>11g-7\2<br />
</td>
        <td>1-3g<br />
</td>
    </tr>
    <tr>
        <td>7L21s<br />
</td>
        <td>3\28 &lt; g &lt; 1\7<br />
</td>
        <td>g = 7\56<br />
</td>
        <td>g = 4\35, 5\42, 6\49<br />
</td>
        <td>3g-2\7<br />
</td>
        <td>1\7-g<br />
</td>
    </tr>
    <tr>
        <td>8L20s<br />
</td>
        <td>3\28 &lt; g &lt; 1\8<br />
</td>
        <td>g = 13\112<br />
</td>
        <td>g = 4\36, 5\44, 6\52<br />
</td>
        <td>5g-1\2<br />
</td>
        <td>1\4-2g<br />
</td>
    </tr>
    <tr>
        <td>9L19s<br />
</td>
        <td>3\28 &lt; g &lt; 1\9<br />
</td>
        <td>g = 55\504<br />
</td>
        <td>g = 4\37, 5\46, 6\55<br />
</td>
        <td>19g-2<br />
</td>
        <td>1-9g<br />
</td>
    </tr>
    <tr>
        <td>10L18s<br />
</td>
        <td>11\28 &lt; g &lt; 4\10<br />
</td>
        <td>g = 111\280<br />
</td>
        <td>g = 15\38, 19\48, 23\58<br />
</td>
        <td>4g-7\2<br />
</td>
        <td>2-5g<br />
</td>
    </tr>
    <tr>
        <td>11L17s<br />
</td>
        <td>5\28 &lt; g &lt; 2\11<br />
</td>
        <td>g = 111\616<br />
</td>
        <td>g = 7\39, 9\50, 11\61<br />
</td>
        <td>17g-3<br />
</td>
        <td>2-11g<br />
</td>
    </tr>
    <tr>
        <td>12L16s<br />
</td>
        <td>2\28 &lt; g &lt; 1\12<br />
</td>
        <td>g = 13\168<br />
</td>
        <td>g = 3\40, 4\52, 5\64<br />
</td>
        <td>4g-1\4<br />
</td>
        <td>1\4-3g<br />
</td>
    </tr>
    <tr>
        <td>13L15s<br />
</td>
        <td>15\28 &lt; g &lt; 7\13<br />
</td>
        <td>g = 391\728<br />
</td>
        <td>g = 22\41, 29\54, 36\67<br />
</td>
        <td>15g-8<br />
</td>
        <td>7-13g<br />
</td>
    </tr>
    <tr>
        <td>14L14s<br />
</td>
        <td>1\28 &lt; g &lt; 1\14<br />
</td>
        <td>g = 3\56<br />
</td>
        <td>g = 2\42, 3\56, 4\70<br />
</td>
        <td>g<br />
</td>
        <td>1\14-g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">15L13s</span><br />
</td>
        <td>13\28 &lt; g &lt; 7\15<br />
</td>
        <td>g = 391\840<br />
</td>
        <td>g = 20\43, 27\58, 34\73<br />
</td>
        <td>13g-6<br />
</td>
        <td>7-15g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">16L12s</span><br />
</td>
        <td>5\28 &lt; g &lt; 3\16<br />
</td>
        <td>g = 41\224<br />
</td>
        <td>g = 8\44, 11\60, 14\76<br />
</td>
        <td>3g-1\2<br />
</td>
        <td>3\4-4g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">17L11s</span><br />
</td>
        <td>23\28 &lt; g &lt; 14\17<br />
</td>
        <td>g = 783\952<br />
</td>
        <td>g = 37\45, 51\62, 65\79<br />
</td>
        <td>11g-9<br />
</td>
        <td>13-17g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">18L10s</span><br />
</td>
        <td>3\28 &lt; g &lt; 2\18<br />
</td>
        <td>g = 55\504<br />
</td>
        <td>g = 5\46, 7\64, 9\82<br />
</td>
        <td>5g-1\2<br />
</td>
        <td>1-9g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">19L9s</span><br />
</td>
        <td>25\28 &lt; g &lt; 17\19<br />
</td>
        <td>g = 951\1064<br />
</td>
        <td>g = 42\47, 59\66, 76\85<br />
</td>
        <td>9g-8<br />
</td>
        <td>17-19g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">20L</span>8s<br />
</td>
        <td>4\28 &lt; g &lt; 3\20<br />
</td>
        <td>g = 41\280<br />
</td>
        <td>g = 7\48, 10\68, 13\88<br />
</td>
        <td>2g-1\4<br />
</td>
        <td>3\4-5g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">21L7s</span><br />
</td>
        <td>1\28 &lt; g &lt; 1\21<br />
</td>
        <td>g = 7\168<br />
</td>
        <td>g = 2\49, 3\70, 4\91<br />
</td>
        <td>g<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">1\7-3g</span><br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">22L</span>6s<br />
</td>
        <td>5\28 &lt; g &lt; 4\22<br />
</td>
        <td>g = 111\616<br />
</td>
        <td>g = 9\50, 13\72, 17\94<br />
</td>
        <td>3g-1\2<br />
</td>
        <td>2-11g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">23L</span>5s<br />
</td>
        <td>17\28 &lt; g &lt; 14\23<br />
</td>
        <td>g = 783\1288<br />
</td>
        <td>g = 31\51, 45\74, 59\97<br />
</td>
        <td>5g-3<br />
</td>
        <td>14-23g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">24L</span>4s<br />
</td>
        <td>1\28 &lt; g &lt; 1\24<br />
</td>
        <td>g = 13\336<br />
</td>
        <td>g = 2\52, 3\76, 4\100<br />
</td>
        <td>g<br />
</td>
        <td>1\4-6g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">25L</span>3s<br />
</td>
        <td>19\28 &lt; g &lt; 17\25<br />
</td>
        <td>g = 951\1400<br />
</td>
        <td>g = 36\53, 53\78, 70\103<br />
</td>
        <td>3g-2<br />
</td>
        <td>17-25g<br />
</td>
    </tr>
    <tr>
        <td><span style="line-height: 15.6000003814697px;">26L</span>2s<br />
</td>
        <td>15\28 &lt; g &lt; 14\26<br />
</td>
        <td>g = 391\728<br />
</td>
        <td>g = 29\54, 43\80, 57\106<br />
</td>
        <td>g-1\2<br />
</td>
        <td>19\2-13g<br />
</td>
    </tr>
    <tr>
        <td>27L1s<br />
</td>
        <td>1\28 &lt; g &lt; 1\27<br />
</td>
        <td>g = 55\1512<br />
</td>
        <td>g = 2\55, 3\82, 4\109<br />
</td>
        <td>g<br />
</td>
        <td>1-27g<br />
</td>
    </tr>
</table>

<br />
<!-- ws:start:WikiTextHeadingRule:50:&lt;h1&gt; --><h1 id="toc25"><a name="x29"></a><!-- ws:end:WikiTextHeadingRule:50 -->29</h1>
 

<table class="wiki_table">
    <tr>
        <th>Large-small numbers<br />
</th>
        <th>Generator range<br />
</th>
        <th><span style="background-color: #ffffff;">Midpoint</span><br />
</th>
        <th>Boundaries of propriety, maximum expressiveness, diatonicity<br />
</th>
        <th>Large step<br />
</th>
        <th>Small step<br />
</th>
    </tr>
    <tr>
        <td>1L28s<br />
</td>
        <td>28\29 &lt; g &lt; 1<br />
</td>
        <td>g = 57\58<br />
</td>
        <td>g = <em>29\30, 30\31, 31\32</em><br />
</td>
        <td>28g-27<br />
</td>
        <td>1-g<br />
</td>
    </tr>
    <tr>
        <td>2L27s<br />
</td>
        <td>14\29 &lt; g &lt; 1\2<br />
</td>
        <td>g = 57\116<br />
</td>
        <td>g = <em>15\31</em>, <em>16\33</em>, 17\35<br />
</td>
        <td>27g-13<br />
</td>
        <td>1-2g<br />
</td>
    </tr>
    <tr>
        <td>3L26s<br />
</td>
        <td>19\29 &lt; g &lt; 2\3<br />
</td>
        <td>g = 115\174<br />
</td>
        <td>g = <em>21\32</em>, 23\35, 25\38<br />
</td>
        <td>26g-17<br />
</td>
        <td>2-3g<br />
</td>
    </tr>
    <tr>
        <td>4L25s<br />
</td>
        <td>7\29 &lt; g &lt; 1\4<br />
</td>
        <td>g = 57\232<br />
</td>
        <td>g = <em>8\33</em>, 9\37, 10\41<br />
</td>
        <td>25g-6<br />
</td>
        <td>1-4g<br />
</td>
    </tr>
    <tr>
        <td>5L24s<br />
</td>
        <td>23\29 &lt; g &lt; 4\5<br />
</td>
        <td>g = 231\290<br />
</td>
        <td>g = <em>27\34</em>, 31\39, 35\44<br />
</td>
        <td>24g-19<br />
</td>
        <td>4-5g<br />
</td>
    </tr>
    <tr>
        <td>6L23s<br />
</td>
        <td>24\29 &lt; g &lt; 5\6<br />
</td>
        <td>g = 289\348<br />
</td>
        <td>g = 29\35, 34\41, 39\47<br />
</td>
        <td>23g-19<br />
</td>
        <td>5-6g<br />
</td>
    </tr>
    <tr>
        <td>7L22s<br />
</td>
        <td>4\29 &lt; g &lt; 1\7<br />
</td>
        <td>g = 57\406<br />
</td>
        <td>g = 5\36, 6\43, 7\50<br />
</td>
        <td>22g-3<br />
</td>
        <td>1-7g<br />
</td>
    </tr>
    <tr>
        <td>8L21s<br />
</td>
        <td>18\29 &lt; g &lt; 5\8<br />
</td>
        <td>g = 289\464<br />
</td>
        <td>g = 23\37, 28\45, 33\53<br />
</td>
        <td><span style="line-height: 15.6000003814697px;">21g-13</span><br />
</td>
        <td><span style="line-height: 15.6000003814697px;">5-8g</span><br />
</td>
    </tr>
    <tr>
        <td>9L20s<br />
</td>
        <td>16\29 &lt; g &lt; 5\9<br />
</td>
        <td>g = 289\522<br />
</td>
        <td>g = 21\38, 26\47, 31\56<br />
</td>
        <td>20g-11<br />
</td>
        <td>5-9g<br />
</td>
    </tr>
    <tr>
        <td>10L19s<br />
</td>
        <td>26\29 &lt; g &lt; 9\10<br />
</td>
        <td>g = 521\580<br />
</td>
        <td>g = 35\39, 44\49, 53\59<br />
</td>
        <td>19g-17<br />
</td>
        <td>9-10g<br />
</td>
    </tr>
    <tr>
        <td>11L18s<br />
</td>
        <td>21\29 &lt; g &lt; 8\11<br />
</td>
        <td>g = 463\638<br />
</td>
        <td>g = 29\40, 37\51, 45\62<br />
</td>
        <td>18g-13<br />
</td>
        <td>8-11g<br />
</td>
    </tr>
    <tr>
        <td>12L17s<br />
</td>
        <td>12\29 &lt; g &lt; 5\12<br />
</td>
        <td>g = 289\696<br />
</td>
        <td>g = 17\41, 22\53, 27\65<br />
</td>
        <td>17g-7<br />
</td>
        <td>5-12g<br />
</td>
    </tr>
    <tr>
        <td>13L16s<br />
</td>
        <td>20\29 &lt; g &lt; 9\13<br />
</td>
        <td>g = 521\754<br />
</td>
        <td>g = 29\42, 38\55, 47\68<br />
</td>
        <td>16g+11<br />
</td>
        <td>9-13g<br />
</td>
    </tr>
    <tr>
        <td>14L15s<br />
</td>
        <td>2\29 &lt; g &lt; 1\14<br />
</td>
        <td>g = 57\812<br />
</td>
        <td>g = 3\43, 4\57, 5\71<br />
</td>
        <td>15g-1<br />
</td>
        <td>1-14g<br />
</td>
    </tr>
    <tr>
        <td>15L14s<br />
</td>
        <td>27\29 &lt; g &lt; 14\15<br />
</td>
        <td>g = 811\870<br />
</td>
        <td>g = 41\44, 55\59, 69\74<br />
</td>
        <td>14g-13<br />
</td>
        <td>14-15g<br />
</td>
    </tr>
    <tr>
        <td>16L13s<br />
</td>
        <td>9\29 &lt; g &lt; 5\16<br />
</td>
        <td>g = 289\928<br />
</td>
        <td>g = 14\45, 19\61, 24\77<br />
</td>
        <td>13g-4<br />
</td>
        <td>5-16g<br />
</td>
    </tr>
    <tr>
        <td>17L12s<br />
</td>
        <td>17\29 &lt; g &lt; 10\17<br />
</td>
        <td>g = 579\986<br />
</td>
        <td>g = 27\46, 37\63, 47\80<br />
</td>
        <td>12g-5<br />
</td>
        <td>7-17g<br />
</td>
    </tr>
    <tr>
        <td>18L11s<br />
</td>
        <td>8\29 &lt; g &lt; 5\18<br />
</td>
        <td>g = 289\1044<br />
</td>
        <td>g = 13\47, 18\65, 23\83<br />
</td>
        <td>11g-3<br />
</td>
        <td>5-18g<br />
</td>
    </tr>
    <tr>
        <td>19L10s<br />
</td>
        <td>3\29 &lt; g &lt; 2\19<br />
</td>
        <td>g = 115\1102<br />
</td>
        <td>g = 5\48, 7\67, 9\86<br />
</td>
        <td>10g-1<br />
</td>
        <td>2-19g<br />
</td>
    </tr>
    <tr>
        <td>20L9s<br />
</td>
        <td>13\29 &lt; g &lt; 9\20<br />
</td>
        <td>g = 521\1160<br />
</td>
        <td>g = 22\49, 31\69, 40\89<br />
</td>
        <td>9g-5<br />
</td>
        <td>9-20g<br />
</td>
    </tr>
    <tr>
        <td>21L8s<br />
</td>
        <td>11\29 &lt; g &lt; 8\21<br />
</td>
        <td>g = 463\1216<br />
</td>
        <td>g = 19\50, 27\71, 35\92<br />
</td>
        <td>8g-3<br />
</td>
        <td>8-21g<br />
</td>
    </tr>
    <tr>
        <td>22L7s<br />
</td>
        <td>25\29 &lt; g &lt; 19\22<br />
</td>
        <td>g = 1001\1274<br />
</td>
        <td>g = 44\51, 63\73, 82\95<br />
</td>
        <td>7g-6<br />
</td>
        <td>9-22g<br />
</td>
    </tr>
    <tr>
        <td>23L6s<br />
</td>
        <td>5\29 &lt; g &lt; 4\23<br />
</td>
        <td>g = 231\1332<br />
</td>
        <td>g = 9\52, 13\75, 17\98<br />
</td>
        <td>6g-1<br />
</td>
        <td>4-23g<br />
</td>
    </tr>
    <tr>
        <td>24L5s<br />
</td>
        <td>6\29 &lt; g &lt; 5\24<br />
</td>
        <td>g = 289\1392<br />
</td>
        <td>g = 11\53, 16\77, 21\101<br />
</td>
        <td>5g-9<br />
</td>
        <td>5-24g<br />
</td>
    </tr>
    <tr>
        <td>25L4s<br />
</td>
        <td>22\29 &lt; g &lt; 19\25<br />
</td>
        <td>g = 1001\1450<br />
</td>
        <td>g = 41\54, 60\79, 79\104<br />
</td>
        <td>4g-3<br />
</td>
        <td>19-25g<br />
</td>
    </tr>
    <tr>
        <td>26L3s<br />
</td>
        <td>10\29 &lt; g &lt; 9\26<br />
</td>
        <td>g = 521\1508<br />
</td>
        <td>g = 19\55, 28\81, 37\107<br />
</td>
        <td>3g-1<br />
</td>
        <td>19\2-26g<br />
</td>
    </tr>
    <tr>
        <td>27L2s<br />
</td>
        <td>15\29 &lt; g &lt; 14\27<br />
</td>
        <td>g = 811\1564<br />
</td>
        <td>g = 29\56, 43\83, 57\110<br />
</td>
        <td>2g-1<br />
</td>
        <td>17-27g<br />
</td>
    </tr>
    <tr>
        <td>28L1s<br />
</td>
        <td>1\29 &lt; g &lt; 1\28<br />
</td>
        <td>g = 57\1622<br />
</td>
        <td>g = 2\57,<span style="line-height: 15.6000003814697px;"> 3\85,</span> 4\113<br />
</td>
        <td>g<br />
</td>
        <td>1-28g<br />
</td>
    </tr>
</table>

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