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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 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 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
Midpoint
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
4\18 < g < 1\4
g = 17\72
g = 5\22, 6\26, 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
Midpoint
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
Midpoint
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
Midpoint
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
Midpoint
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
Midpoint
Boundaries of propriety, maximum expressiveness, diatonicity
Large step
Small step
1L22s
22\23 < g < 1
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, 21\37, 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
11-9g
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
11g-10
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
7-16g
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
Midpoint
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
Midpoint
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
17g-2
1-8g
9L16s
11\25 < g < 4\9
g = 199\450
g = 15\34, 19\43, 23\52
16g-7
-9g+4
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
Midpoint
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
1\2-2g
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
14L12s
11\26 < g < 6\14
g = 155\364
g = 17\40, 23\54, 29\68
6g-5\2
3-7g
15L11s
19\26 < g < 11\15
g = 571\780
g = 30\41, 41\56, 52\71
11g-8
11-15g
16L10s
8\26 < g < 5\16
g = 129\416
g = 13\42, 18\58, 23\74
13\2-8g
5g-4
17L9s
3\26 < g < 2\17
g = 103\884
g = 5\43, 7\60, 9\77
9g-1
2-17g
18L8s
10\26 < g < 7\18
g = 181\468
g = 17\44, 24\62, 31\80
4g-7\2
7-9g
19L7s
15\26 < g < 11\19
g = 571\988
g = 26\45, 37\64, 48\83
7g-4
11-19g
20L6s
9\26 < g < 7\20
g = 181\520
g = 16\46, 23\66, 30\86
3g-1
7\2-10g
21L5s
21\26 < g < 17\21
g = 883\1092
g = 38\47, 55\68, 72\89
5g-4
16-21g
22L4s
7\26 < g < 6\22
g = 155\572
g = 13\48, 19\70, 25\92
2g-1\2
3-11g
23L3s
9\26 < g < 8\23
g = 415\1196
g = 17\49, 25\72, 33/95
3g-1
8-23g
24L2s
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
Midpoint
Boundaries of propriety, maximum expressiveness, diatonicity
Large step
Small step
1L26s
26\27 < g < 1
g = 53\54
g = 27\28, 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
11\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
Midpoint
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, 11\34, 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
15L13s
13\28 < g < 7\15
g = 391\840
g = 20\43, 27\58, 34\73
13g-6
7-15g
16L12s
5\28 < g < 3\16
g = 41\224
g = 8\44, 11\60, 14\76
3g-1\2
3\4-4g
17L11s
23\28 < g < 14\17
g = 783\952
g = 37\45, 51\62, 65\79
11g-9
13-17g
18L10s
3\28 < g < 2\18
g = 55\504
g = 5\46, 7\64, 9\82
5g-1\2
1-9g
19L9s
25\28 < g < 17\19
g = 951\1064
g = 42\47, 59\66, 76\85
9g-8
17-19g
20L8s
4\28 < g < 3\20
g = 41\280
g = 7\48, 10\68, 13\88
2g-1\4
3\4-5g
21L7s
1\28 < g < 1\21
g = 7\168
g = 2\49, 3\70, 4\91
g
1\7-3g
22L6s
5\28 < g < 4\22
g = 111\616
g = 9\50, 13\72, 17\94
3g-1\2
2-11g
23L5s
17\28 < g < 14\23
g = 783\1288
g = 31\51, 45\74, 59\97
5g-3
14-23g
24L4s
1\28 < g < 1\24
g = 13\336
g = 2\52, 3\76, 4\100
g
1\4-6g
25L3s
19\28 < g < 17\25
g = 951\1400
g = 36\53, 53\78, 70\103
3g-2
17-25g
26L2s
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
Midpoint
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
21g-13
5-8g
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, 3\85, 4\113
g
1-28g