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Generator ranges of MOS: Difference between revisions

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


=2, 3, 4=
= 2, 3, and 4-tone =
'''Note: These sets are given for the sake of completeness as they are not really scales'''
'''Note: These sets are given for the sake of completeness as they are not really scales'''


Line 13: Line 13:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L1s
| | [[1L 1s]]
| | 1\2 < g < 1
| | 1\2 < g < 1
| | g = 2\3, 3\4, 4\5
| | g = 2\3, 3\4, 4\5
| | g+1-g = 1
| | g+1-g = 1
|-
|-
| | 1L2s
| | [[1L 2s]]
| | 2\3 < g < 1
| | 2\3 < g < 1
| | g = 3\4, 4\5, 5\6
| | g = 3\4, 4\5, 5\6
| | 2g-1+1-g = g
| | 2g-1+1-g = g
|-
|-
| | 2L1s
| | [[2L 1s]]
| | 1\3 < g < 1\2
| | 1\3 < g < 1\2
| | g = 2\5, 3\7, 4\9
| | g = 2\5, 3\7, 4\9
| | g+1-2g = 1-g
| | g+1-2g = 1-g
|-
|-
| | 1L3s
| | [[1L 3s]]
| | 3\4 < g < 1
| | 3\4 < g < 1
| | g = 4\5, 5\6, 6\7
| | g = 4\5, 5\6, 6\7
| | 3g-2+1-g = 2g-1
| | 3g-2+1-g = 2g-1
|-
|-
| | 2L2s
| | [[2L 2s]]
| | 1\4 < g < 1\2
| | 1\4 < g < 1\2
| | g = 2\6, 3\8, 4\10
| | g = 2\6, 3\8, 4\10
| | g+1\2-g = 1\2
| | g+1\2-g = 1\2
|-
|-
| | 3L1s
| | [[3L 1s]]
| | 1\4 < g < 1\3
| | 1\4 < g < 1\3
| | g = 2\7, 3\10, 4\13
| | g = 2\7, 3\10, 4\13
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|}
|}


=5=
= 5-tone =
'''Note: italicized generators from here below generate scales which are weakly tonal'''
'''Note: italicized generators from here below generate scales which are weakly tonal'''
{| class="wikitable"
{| class="wikitable"
Line 53: Line 53:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L4s
| | [[1L 4s]]
| | 4\5 < g < 1
| | 4\5 < g < 1
| | g = ''5\6'', 6\7, 7\8
| | g = ''5\6'', 6\7, 7\8
| | 4g-3+1-g = 3g-2
| | 4g-3+1-g = 3g-2
|-
|-
| | 2L3s
| | [[2L 3s]]
| | 2\5 < g < 1\2
| | 2\5 < g < 1\2
| | g = 3\7, 4\9, 5\11
| | g = 3\7, 4\9, 5\11
| | 3g-1+1-2g = g
| | 3g-1+1-2g = g
|-
|-
| | 3L2s
| | [[3L 2s]]
| | 3\5 < g < 2\3
| | 3\5 < g < 2\3
| | g = 5\8, 7\11, 9\14
| | g = 5\8, 7\11, 9\14
| | 2g-1+2-3g = 1-g
| | 2g-1+2-3g = 1-g
|-
|-
| | 4L1s
| | [[4L 1s]]
| | 1\5 < g < 1\4
| | 1\5 < g < 1\4
| | g = 2\9, 3\13, 4\17
| | g = 2\9, 3\13, 4\17
Line 74: Line 74:
|}
|}


=6=
= 6-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 83: Line 82:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L5s
| | [[1L 5s]]
| | 5\6 < g < 1
| | 5\6 < g < 1
| | g = ''6\7'', 7\8, 8\9
| | g = ''6\7'', 7\8, 8\9
| | 5g-4+1-g = 4g-3
| | 5g-4+1-g = 4g-3
|-
|-
| | 2L4s
| | [[2L 4s]]
| | 2\6 < g < 1\2
| | 2\6 < g < 1\2
| | g = 3\8, 4\10, 5\12
| | g = 3\8, 4\10, 5\12
| | 2g-1\2+1\2-g = g
| | 2g-1\2+1\2-g = g
|-
|-
| | 3L3s
| | [[3L 3s]]
| | 1\6 < g < 1\3
| | 1\6 < g < 1\3
| | g = 2\9, 3\12, 4\15
| | g = 2\9, 3\12, 4\15
| | g+1\3-g = 1\3
| | g+1\3-g = 1\3
|-
|-
| | 4L2s
| | [[4L 2s]]
| | 1\6 < g < 1\4
| | 1\6 < g < 1\4
| | g = 2\10, 3\14, 4\18
| | g = 2\10, 3\14, 4\18
| | g+1\2-2g = 1\2-g
| | g+1\2-2g = 1\2-g
|-
|-
| | 5L1s
| | [[5L 1s]]
| | 1\6 < g < 1\5
| | 1\6 < g < 1\5
| | g = 2\11, 3\16, 4\21
| | g = 2\11, 3\16, 4\21
Line 109: Line 108:
|}
|}


=7=
= 7-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 118: Line 116:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L6s
| | [[1L 6s]]
| | 6\7 < g < 1
| | 6\7 < g < 1
| | g = ''7\8'', 8\9, 9\10
| | g = ''7\8'', 8\9, 9\10
| | 6g-5+1-g = 5g-4
| | 6g-5+1-g = 5g-4
|-
|-
| | 2L5s
| | [[2L 5s]]
| | 3\7 < g < 1\2
| | 3\7 < g < 1\2
| | g = 4\9, 5\11, 6\13
| | g = 4\9, 5\11, 6\13
| | 5g-2+1-2g = 3g-1
| | 5g-2+1-2g = 3g-1
|-
|-
| | 3L4s
| | [[3L 4s]]
| | 2\7 < g < 1\3
| | 2\7 < g < 1\3
| | g = 3\10, 4\13, 5\16
| | g = 3\10, 4\13, 5\16
| | 4g-1+1-3g = g
| | 4g-1+1-3g = g
|-
|-
| | 4L3s
| | [[4L 3s]]
| | 5\7 < g < 3\4
| | 5\7 < g < 3\4
| | g = 8\11, 11\15, 14\19
| | g = 8\11, 11\15, 14\19
| | 3g-2+3-4g = 1-g
| | 3g-2+3-4g = 1-g
|-
|-
| | 5L2s
| | [[5L 2s]]
| | 4\7 < g < 3\5
| | 4\7 < g < 3\5
| | g = 7\12, 10\17, 13\22
| | g = 7\12, 10\17, 13\22
| | 2g-1+3-5g = 2-3g
| | 2g-1+3-5g = 2-3g
|-
|-
| | 6L1s
| | [[6L 1s]]
| | 1\7 < g < 1\6
| | 1\7 < g < 1\6
| | g = 2\13, 3\19, 4\25
| | g = 2\13, 3\19, 4\25
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|}
|}


=8=
= 8-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 158: Line 155:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L7s
| | [[1L 7s]]
| | 7\8 < g < 1
| | 7\8 < g < 1
| | g = ''8\9, 9\10'', 10\11
| | g = ''8\9, 9\10'', 10\11
| | 7g-6+1-g = 6g-5
| | 7g-6+1-g = 6g-5
|-
|-
| | 2L6s
| | [[2L 6s]]
| | 3\8 < g < 1\2
| | 3\8 < g < 1\2
| | g = ''4\10'', 5\12, 6\14
| | g = ''4\10'', 5\12, 6\14
| | 3g-1+1\2-g = 2g-1\2
| | 3g-1+1\2-g = 2g-1\2
|-
|-
| | 3L5s
| | [[3L 5s]]
| | 5\8 < g < 2\3
| | 5\8 < g < 2\3
| | g = 7\11, 9\14, 11\17
| | g = 7\11, 9\14, 11\17
| | 5g-3+2-3g = 2g-1
| | 5g-3+2-3g = 2g-1
|-
|-
| | 4L4s
| | [[4L 4s]]
| | 1\8 < g < 1\4
| | 1\8 < g < 1\4
| | g = 2\12, 3\16, 4\20
| | g = 2\12, 3\16, 4\20
| | g+1\4-g = 1\4
| | g+1\4-g = 1\4
|-
|-
| | 5L3s
| | [[5L 3s]]
| | 3\8 < g < 2\5
| | 3\8 < g < 2\5
| | g = 5\13, 7\18, 9\23
| | g = 5\13, 7\18, 9\23
| | 3g-1+2-5g = 1-2g
| | 3g-1+2-5g = 1-2g
|-
|-
| | 6L2s
| | [[6L 2s]]
| | 1\8 < g < 1\6
| | 1\8 < g < 1\6
| | g = 2\14, 3\20, 4\26
| | g = 2\14, 3\20, 4\26
| | g+1\2-3g = 1\2-2g
| | g+1\2-3g = 1\2-2g
|-
|-
| | 7L1s
| | [[7L 1s]]
| | 1\8 < g < 1\7
| | 1\8 < g < 1\7
| | g = 2\15, 3\22, 4\29
| | g = 2\15, 3\22, 4\29
Line 194: Line 191:
|}
|}


=9=
= 9-tone =
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 202: Line 199:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L8s
| | [[1L 8s]]
| | 8\9 < g < 1
| | 8\9 < g < 1
| | g = ''9\10'', ''10\11'', 11\12
| | g = ''9\10'', ''10\11'', 11\12
| | 8g-7+1-g = 7g-6
| | 8g-7+1-g = 7g-6
|-
|-
| | 2L7s
| | [[2L 7s]]
| | 4\9 < g < 1\2
| | 4\9 < g < 1\2
| | g = ''5\11'', 6\13, 7\15
| | g = ''5\11'', 6\13, 7\15
| | 7g-3+1-2g = 5g-2
| | 7g-3+1-2g = 5g-2
|-
|-
| | 3L6s
| | [[3L 6s]]
| | 2\9 < g < 1\3
| | 2\9 < g < 1\3
| | g = 3\12, 4\15, 5\18
| | g = 3\12, 4\15, 5\18
| | 2g-1\3+1\3-g = g
| | 2g-1\3+1\3-g = g
|-
|-
| | 4L5s
| | [[4L 5s]]
| | 2\9 < g < 1\4
| | 2\9 < g < 1\4
| | g = 3\13, 4\17, 5\21
| | g = 3\13, 4\17, 5\21
| | 5g-1+1-4g = g
| | 5g-1+1-4g = g
|-
|-
| | 5L4s
| | [[5L 4s]]
| | 7\9 < g < 4\5
| | 7\9 < g < 4\5
| | g = 11\14, 15\19, 18\23
| | g = 11\14, 15\19, 18\23
| | 4g-3+4-5g = 1-g
| | 4g-3+4-5g = 1-g
|-
|-
| | 6L3s
| | [[6L 3s]]
| | 1\9 < g < 1\6
| | 1\9 < g < 1\6
| | g = 2\15, 3\21, 4\27
| | g = 2\15, 3\21, 4\27
| | g+1\3-2g = 1\3-g
| | g+1\3-2g = 1\3-g
|-
|-
| | 7L2s
| | [[7L 2s]]
| | 5\9 < g < 4\7
| | 5\9 < g < 4\7
| | g = 9\16, 10\23, 17\30
| | g = 9\16, 10\23, 17\30
| | 2g-1+4-7g = 3-7g
| | 2g-1+4-7g = 3-7g
|-
|-
| | 8L1s
| | [[8L 1s]]
| | 1\9 < g < 1\8
| | 1\9 < g < 1\8
| | g = 2\17, 3\25, 4\33
| | g = 2\17, 3\25, 4\33
Line 243: Line 240:
|}
|}


=10=
= 10-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 252: Line 248:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L9s
| | [[1L 9s]]
| | 9\10 < g < 1
| | 9\10 < g < 1
| | g = ''10\11'', ''11\12'', 12\13
| | g = ''10\11'', ''11\12'', 12\13
| | 9g-8+1-g = 8g-7
| | 9g-8+1-g = 8g-7
|-
|-
| | 2L8s
| | [[2L 8s]]
| | 4\10 < g < 1\2
| | 4\10 < g < 1\2
| | g = ''5\12'', 6\14, 7\16
| | g = ''5\12'', 6\14, 7\16
| | 4g-3\2+1\2-g = 3g-1
| | 4g-3\2+1\2-g = 3g-1
|-
|-
| | 3L7s
| | [[3L 7s]]
| | 3\10 < g < 1\3
| | 3\10 < g < 1\3
| | g = 4\13, 5\16, 6\19
| | g = 4\13, 5\16, 6\19
| | 7g-2+1-3g = 4g-1
| | 7g-2+1-3g = 4g-1
|-
|-
| | 4L6s
| | [[4L 6s]]
| | 2\10 < g < 1\4
| | 2\10 < g < 1\4
| | g = 3\14, 4\18, 5\22
| | g = 3\14, 4\18, 5\22
| | 3g-1\2+1\2-2g = g
| | 3g-1\2+1\2-2g = g
|-
|-
| | 5L5s
| | [[5L 5s]]
| | 1\10 < g < 1\5
| | 1\10 < g < 1\5
| | g = 2\15, 3\20, 4\25
| | g = 2\15, 3\20, 4\25
| | g+1\5-g = 1\5  
| | g+1\5-g = 1\5  
|-
|-
| | 6L4s
| | [[6L 4s]]
| | 3\10 < g < 2\6
| | 3\10 < g < 2\6
| | g = 5\16, 7\22, 9\28
| | g = 5\16, 7\22, 9\28
| | 2g-1\2+1-3g = 1\2-g
| | 2g-1\2+1-3g = 1\2-g
|-
|-
| | 7L3s
| | [[7L 3s]]
| | 7\10 < g < 5\7
| | 7\10 < g < 5\7
| | g = 12\17, 17\24, 22\31
| | g = 12\17, 17\24, 22\31
| | 3g-2+5-7g = 3-4g
| | 3g-2+5-7g = 3-4g
|-
|-
| | 8L2s
| | [[8L 2s]]
| | 1\10 < g < 1\8
| | 1\10 < g < 1\8
| | g = 2\18, 3\26, 4\34
| | g = 2\18, 3\26, 4\34
| | g+1\2-4g = 1\2-3g
| | g+1\2-4g = 1\2-3g
|-
|-
| | 9L1s
| | [[9L 1s]]
| | 1\10 < g < 1\9
| | 1\10 < g < 1\9
| | g = 2\19, 3\28, 4\37
| | g = 2\19, 3\28, 4\37
Line 298: Line 294:
|}
|}


=11=
= 11-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 307: Line 302:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L10s
| | [[1L 10s]]
| | 10\11 < g < 1
| | 10\11 < g < 1
| | g = ''11\12'', ''12\13'', 13\14
| | g = ''11\12'', ''12\13'', 13\14
| | 10g-9+1-g = 9g-8
| | 10g-9+1-g = 9g-8
|-
|-
| | 2L9s
| | [[2L 9s]]
| | 5\11 < g < 1\2
| | 5\11 < g < 1\2
| | g = ''6\13'', 7\15, 8\17
| | g = ''6\13'', 7\15, 8\17
| | 9g-4+1-2g = 7g-3
| | 9g-4+1-2g = 7g-3
|-
|-
| | 3L8s
| | [[3L 8s]]
| | 7\11 < g < 2\3
| | 7\11 < g < 2\3
| | g = 9\14, 11\17, 13\20
| | g = 9\14, 11\17, 13\20
| | 8g-5+2-3g = 5g-3
| | 8g-5+2-3g = 5g-3
|-
|-
| | 4L7s
| | [[4L 7s]]
| | 8\11 < g < 3\4
| | 8\11 < g < 3\4
| | g = 11\15, 14\19, 17\23
| | g = 11\15, 14\19, 17\23
| | 7g-5+3-4g = 3g-2
| | 7g-5+3-4g = 3g-2
|-
|-
| | 5L6s
| | [[5L 6s]]
| | 2\11 < g < 1\5
| | 2\11 < g < 1\5
| | g = 3\16, 4\21, 5\26
| | g = 3\16, 4\21, 5\26
| | 6g-1+1-5g = g
| | 6g-1+1-5g = g
|-
|-
| | 6L5s
| | [[6L 5s]]
| | 9\11 < g < 5\6
| | 9\11 < g < 5\6
| | g = 14\17, 19\23, 24\29
| | g = 14\17, 19\23, 24\29
| | 5g-4+5-6g = 1-g
| | 5g-4+5-6g = 1-g
|-
|-
| | 7L4s
| | [[7L 4s]]
| | 3\11 < g < 2\7
| | 3\11 < g < 2\7
| | g = 5\18, 7\25, 9\32
| | g = 5\18, 7\25, 9\32
| | 4g-1+2-7g = 1-3g
| | 4g-1+2-7g = 1-3g
|-
|-
| | 8L3s
| | [[8L 3s]]
| | 4\11 < g < 3\8
| | 4\11 < g < 3\8
| | g = 7\19, 10\27, 13\35
| | g = 7\19, 10\27, 13\35
| | 3g-1+3-8g = 2-5g
| | 3g-1+3-8g = 2-5g
|-
|-
| | 9L2s
| | [[9L 2s]]
| | 6\11 < g < 5\9
| | 6\11 < g < 5\9
| | g = 11\20, 16\29, 21\38
| | g = 11\20, 16\29, 21\38
| | 2g-1+5-9g = 4-7g
| | 2g-1+5-9g = 4-7g
|-
|-
| | 10L1s
| | [[10L 1s]]
| | 1\11 < g < 1\10
| | 1\11 < g < 1\10
| | g = 2\21, 3\31, 4\41
| | g = 2\21, 3\31, 4\41
Line 358: Line 353:
|}
|}


=12=
= 12-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 367: Line 361:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L11s
| | [[1L 11s]]
| | 11\12 < g < 1
| | 11\12 < g < 1
| | g = ''12\13,'' ''13\14, 14\15''
| | g = ''12\13,'' ''13\14, 14\15''
| | 11g-10+1-g = 10g-9
| | 11g-10+1-g = 10g-9
|-
|-
| | 2L10s
| | [[2L 10s]]
| | 5\12 < g < 1\2
| | 5\12 < g < 1\2
| | g = ''6\14'', 7\16, 8\18
| | g = ''6\14'', 7\16, 8\18
| | 5g-2+1\2-g = 4g-3\2
| | 5g-2+1\2-g = 4g-3\2
|-
|-
| | 3L9s
| | [[3L 9s]]
| | 3\12 < g < 1\3
| | 3\12 < g < 1\3
| | g = ''4\15'', 5\18, 6\21
| | g = ''4\15'', 5\18, 6\21
| | 3g-2\3+1\3-g = 2g-1\3
| | 3g-2\3+1\3-g = 2g-1\3
|-
|-
| | 4L8s
| | [[4L 8s]]
| | 2\12 < g < 1\4
| | 2\12 < g < 1\4
| | g = 3\16, 4\20, 5\24
| | g = 3\16, 4\20, 5\24
| | 2g-1\4+1\4-g = g
| | 2g-1\4+1\4-g = g
|-
|-
| | 5L7s
| | [[5L 7s]]
| | 7\12 < g < 3\5
| | 7\12 < g < 3\5
| | g = 10\17, 13\22, 16\27
| | g = 10\17, 13\22, 16\27
| | 7g-4+3-5g = 2g-1
| | 7g-4+3-5g = 2g-1
|-
|-
| | 6L6s
| | [[6L 6s]]
| | 1\12 < g < 1\6
| | 1\12 < g < 1\6
| | g = 2\18, 3\24, 4\30
| | g = 2\18, 3\24, 4\30
| | g+1\6-g = g
| | g+1\6-g = g
|-
|-
| | 7L5s
| | [[7L 5s]]
| | 5\12 < g < 3\7
| | 5\12 < g < 3\7
| | g = 8\19, 11\26, 14\33
| | g = 8\19, 11\26, 14\33
| | 5g-2+3-7g = 1-2g
| | 5g-2+3-7g = 1-2g
|-
|-
| | 8L4s
| | [[8L 4s]]
| | 1\12 < g < 1\8
| | 1\12 < g < 1\8
| | g = 2\20, 3\28, 4\36
| | g = 2\20, 3\28, 4\36
| | g+1\4-2g = 1\4-g
| | g+1\4-2g = 1\4-g
|-
|-
| | 9L3s
| | [[9L 3s]]
| | 1\12 < g < 1\9
| | 1\12 < g < 1\9
| | g = 2\21, 3\30, 4\39
| | g = 2\21, 3\30, 4\39
| | g+1\3-3g = 1\3-2g
| | g+1\3-3g = 1\3-2g
|-
|-
| | 10L2s
| | [[10L 2s]]
| | 1\12 < g < 1\10
| | 1\12 < g < 1\10
| | g = 2\22, 3\32, 4\42
| | g = 2\22, 3\32, 4\42
| | g+1\2-5g = 1\2-4g
| | g+1\2-5g = 1\2-4g
|-
|-
| | 11L1s
| | [[11L 1s]]
| | 1\12 < g < 1\11
| | 1\12 < g < 1\11
| | g = 2\23, 3\34, 4\45
| | g = 2\23, 3\34, 4\45
Line 423: Line 417:
|}
|}


=13=
= 13-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 432: Line 425:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L12s
| | [[1L 12s]]
| | 12\13 < g < 1
| | 12\13 < g < 1
| | ''g = 13\14, 14\15, 15\16''
| | ''g = 13\14, 14\15, 15\16''
| | 12g-11+1-g = 11g-10
| | 12g-11+1-g = 11g-10
|-
|-
| | 2L11s
| | [[2L 11s]]
| | 6\13 < g < 1\2
| | 6\13 < g < 1\2
| | g = ''7\15'', 8\17, 9\19
| | g = ''7\15'', 8\17, 9\19
| | 11g-5-1-2g = 10g-6
| | 11g-5-1-2g = 10g-6
|-
|-
| | 3L10s
| | [[3L 10s]]
| | 4\13 < g < 1\3
| | 4\13 < g < 1\3
| | g = ''5\16'', 6\19, 7/22
| | g = ''5\16'', 6\19, 7/22
| | 10g-3+1-3g = 7g-2
| | 10g-3+1-3g = 7g-2
|-
|-
| | 4L9s
| | [[4L 9s]]
| | 3\13 < g < 1\4
| | 3\13 < g < 1\4
| | g = 4\17, 5\21, 6\25
| | g = 4\17, 5\21, 6\25
| | 9g-2+1-4g = 5g-1
| | 9g-2+1-4g = 5g-1
|-
|-
| | 5L8s
| | [[5L 8s]]
| | 5\13 < g < 2\5
| | 5\13 < g < 2\5
| | g = 7\18, 9\23, 11\28
| | g = 7\18, 9\23, 11\28
| | 8g-3+2-5g = 3g-1
| | 8g-3+2-5g = 3g-1
|-
|-
| | 6L7s
| | [[6L 7s]]
| | 2\13 < g < 1\6
| | 2\13 < g < 1\6
| | g = 3\19, 4\25, 5\31
| | g = 3\19, 4\25, 5\31
| | 7g-1+1-6g = g
| | 7g-1+1-6g = g
|-
|-
| | 7L6s
| | [[7L 6s]]
| | 11\13 < g < 6\7
| | 11\13 < g < 6\7
| | g = 17\20, 23\27, 29\34
| | g = 17\20, 23\27, 29\34
| | 6g-5+6-7g = 1-g
| | 6g-5+6-7g = 1-g
|-
|-
| | 8L5s
| | [[8L 5s]]
| | 8\13 < g < 5\8
| | 8\13 < g < 5\8
| | g = 13\21, 18\29, 23\37
| | g = 13\21, 18\29, 23\37
| | 5g-3+5-8g = 2-3g
| | 5g-3+5-8g = 2-3g
|-
|-
| | 9L4s
| | [[9L 4s]]
| | 10\13 < g < 7\9
| | 10\13 < g < 7\9
| | g = 17\22, 24\31, 31\40
| | g = 17\22, 24\31, 31\40
| | 4g-3+7-9g = 4-5g
| | 4g-3+7-9g = 4-5g
|-
|-
| | 10L3s
| | [[10L 3s]]
| | 9\13 < g < 7\10
| | 9\13 < g < 7\10
| | g = 16\23, 23\33, 30\43
| | g = 16\23, 23\33, 30\43
| | 3g-2+7-10g = 5-7g
| | 3g-2+7-10g = 5-7g
|-
|-
| | 11L2s
| | [[11L 2s]]
| | 7\13 < g < 6\11
| | 7\13 < g < 6\11
| | g = 13\24, 19\35, 25\46
| | g = 13\24, 19\35, 25\46
| | 2g-1+6-11g = 5-9g
| | 2g-1+6-11g = 5-9g
|-
|-
| | 12L1s
| | [[12L 1s]]
| | 1\13 < g < 1\12
| | 1\13 < g < 1\12
| | g = 2\25, 3\37, 4\49
| | g = 2\25, 3\37, 4\49
Line 493: Line 486:
|}
|}


=14=
= 14-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 502: Line 494:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L13s
| | [[1L 13s]]
| | 13\14 < g < 1
| | 13\14 < g < 1
| | ''g = 14\15, 15\16, 16\17''
| | ''g = 14\15, 15\16, 16\17''
| | 13g-12+1-g = 12g-11
| | 13g-12+1-g = 12g-11
|-
|-
| | 2L12s
| | [[2L 12s]]
| | 6\14 < g < 1\2
| | 6\14 < g < 1\2
| | g = ''7\16'', 8\18, 9\20
| | g = ''7\16'', 8\18, 9\20
| | 6g-5\2+1\2-g = 5g-2
| | 6g-5\2+1\2-g = 5g-2
|-
|-
| | 3L11s
| | [[3L 11s]]
| | 9\14 < g < 2\3
| | 9\14 < g < 2\3
| | g = ''11\17'', 13\20, 15\23
| | g = ''11\17'', 13\20, 15\23
| | 11g-7+2-3g = 9g-5
| | 11g-7+2-3g = 9g-5
|-
|-
| | 4L10s
| | [[4L 10s]]
| | 3\14 < g < 1\4
| | 3\14 < g < 1\4
| | g = 4\18, 5\22, 6\26
| | g = 4\18, 5\22, 6\26
| | 5g-1+1\2-2g = 3g-1\2
| | 5g-1+1\2-2g = 3g-1\2
|-
|-
| | 5L9s
| | [[5L 9s]]
| | 11\14 < g < 4\5
| | 11\14 < g < 4\5
| | g = 15\19, 19\24, 23\29
| | g = 15\19, 19\24, 23\29
| | 9g-7+4-5g = 4g-3
| | 9g-7+4-5g = 4g-3
|-
|-
| | 6L8s
| | [[6L 8s]]
| | 2\14 < g < 1\6
| | 2\14 < g < 1\6
| | g = 3\20, 4\26, 5\32
| | g = 3\20, 4\26, 5\32
| | 4g-1\2-1\2-3g = g
| | 4g-1\2-1\2-3g = g
|-
|-
| | 7L7s
| | [[7L 7s]]
| | 1\14 < g < 1\7
| | 1\14 < g < 1\7
| | g = 2\21, 3\28, 4\35
| | g = 2\21, 3\28, 4\35
| | g+1\7-g = 1\7
| | g+1\7-g = 1\7
|-
|-
| | 8L6s
| | [[8L 6s]]
| | 5\14 < g < 3\8
| | 5\14 < g < 3\8
| | g = 8\22, 11\30, 14\38
| | g = 8\22, 11\30, 14\38
| | 3g-1+3\2-4g = 1\2-g
| | 3g-1+3\2-4g = 1\2-g
|-
|-
| | 9L5s
| | [[9L 5s]]
| | 3\14 < g < 2\9
| | 3\14 < g < 2\9
| | g = 5\23, 7\32, 9\41
| | g = 5\23, 7\32, 9\41
| | 5g-1+2-9g = 1-4g
| | 5g-1+2-9g = 1-4g
|-
|-
| | 10L4s
| | [[10L 4s]]
| | 4\14 < g < 3\10
| | 4\14 < g < 3\10
| | g = 7\24, 10\34, 13\44
| | g = 7\24, 10\34, 13\44
| | 2g-1\2+3\2-5g = 1-3g
| | 2g-1\2+3\2-5g = 1-3g
|-
|-
| | 11L3s
| | [[11L 3s]]
| | 5\14 < g < 4\11
| | 5\14 < g < 4\11
| | g = 9\25, 13\36, 17\47
| | g = 9\25, 13\36, 17\47
| | 3g-1+4-11g = 3-8g
| | 3g-1+4-11g = 3-8g
|-
|-
| | 12L2s
| | [[12L 2s]]
| | 1\14 < g < 1\12
| | 1\14 < g < 1\12
| | g = 2\26, 3\38, 4\50
| | g = 2\26, 3\38, 4\50
| | g+1\2-6g = 1\2-5g
| | g+1\2-6g = 1\2-5g
|-
|-
| | 13L1s
| | [[13L 1s]]
| | 1\14 < g < 1\13
| | 1\14 < g < 1\13
| | g = 2\27, 3\40, 4\53
| | g = 2\27, 3\40, 4\53
Line 568: Line 560:
|}
|}


=15=
= 15-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 577: Line 568:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L14s
| | [[1L 14s]]
| | 14\15 < g < 1
| | 14\15 < g < 1
| | ''g = 15\16, 16\17, 17\18''
| | ''g = 15\16, 16\17, 17\18''
| | 14g-13+1-g = 13g-12
| | 14g-13+1-g = 13g-12
|-
|-
| | 2L13s
| | [[2L 13s]]
| | 7\15 < g < 1\2
| | 7\15 < g < 1\2
| | g = ''8\17'', 9\19, 10\21
| | g = ''8\17'', 9\19, 10\21
| | 13g-6+1-2g = 11g-5  
| | 13g-6+1-2g = 11g-5  
|-
|-
| | 3L12s
| | [[3L 12s]]
| | 4\15 < g < 1\3
| | 4\15 < g < 1\3
| | g = ''5\18'', 6\21, 7\24
| | g = ''5\18'', 6\21, 7\24
| | 4g-1+1\3-g = 3g-2\3
| | 4g-1+1\3-g = 3g-2\3
|-
|-
| | 4L11s
| | [[4L 11s]]
| | 11\15 < g < 3\4
| | 11\15 < g < 3\4
| | g = 14\19, 17\23, 20\27
| | g = 14\19, 17\23, 20\27
| | 11g-8+3-4g = 8g-4
| | 11g-8+3-4g = 8g-4
|-
|-
| | 5L10s
| | [[5L 10s]]
| | 2\15 < g < 1\5
| | 2\15 < g < 1\5
| | g = 3\20, 4\25, 5\30
| | g = 3\20, 4\25, 5\30
| | 2g-1\5+1\5-g = g
| | 2g-1\5+1\5-g = g
|-
|-
| | 6L9s
| | [[6L 9s]]
| | 2\15 < g < 1\6
| | 2\15 < g < 1\6
| | g = 3\21, 4\27, 5\33
| | g = 3\21, 4\27, 5\33
| | 3g-1\3+1\3-2g = g
| | 3g-1\3+1\3-2g = g
|-
|-
| | 7L8s
| | [[7L 8s]]
| | 2\15 < g < 1\7
| | 2\15 < g < 1\7
| | g = 3\22, 4\29, 5\36
| | g = 3\22, 4\29, 5\36
| | 8g-1+1-7g = g
| | 8g-1+1-7g = g
|-
|-
| | 8L7s
| | [[8L 7s]]
| | 13\15 < g < 7\8
| | 13\15 < g < 7\8
| | g = 20\23, 27\31, 34\39
| | g = 20\23, 27\31, 34\39
| | 7g-6+7-8g = 1-g
| | 7g-6+7-8g = 1-g
|-
|-
| | 9L6s
| | [[9L 6s]]
| | 3\15 < g < 2\9
| | 3\15 < g < 2\9
| | g = 5\24, 7\33, 9\42
| | g = 5\24, 7\33, 9\42
| | 2g-1\3+2\3-3g = 1\3-g
| | 2g-1\3+2\3-3g = 1\3-g
|-
|-
| | 10L5s
| | [[10L 5s]]
| | 1\15 < g < 1\10
| | 1\15 < g < 1\10
| | g = 2\25, 3\35, 4\45
| | g = 2\25, 3\35, 4\45
| | g+1\5-2g = 1\5-g
| | g+1\5-2g = 1\5-g
|-
|-
| | 11L4s
| | [[11L 4s]]
| | 4\15 < g < 3\11
| | 4\15 < g < 3\11
| | g = 7\26, 10\37, 13\48
| | g = 7\26, 10\37, 13\48
| | 4g-1+3-11g = 2-7g
| | 4g-1+3-11g = 2-7g
|-
|-
| | 12L3s
| | [[12L 3s]]
| | 1\15 < g < 1\12
| | 1\15 < g < 1\12
| | g = 2\27, 3\39, 4\51
| | g = 2\27, 3\39, 4\51
| | g+1\3-4g = 1\3-3g
| | g+1\3-4g = 1\3-3g
|-
|-
| | 13L2s
| | [[13L 2s]]
| | 8\15 < g < 7\13
| | 8\15 < g < 7\13
| | g = 15\28, 22\41, 29\54
| | g = 15\28, 22\41, 29\54
| | 2g-1+7-13g = 6-11g
| | 2g-1+7-13g = 6-11g
|-
|-
| | 14L1s
| | [[14L 1s]]
| | 1\15 < g < 1\14
| | 1\15 < g < 1\14
| | g = 2\29, 3\43, 4\57
| | g = 2\29, 3\43, 4\57
Line 648: Line 639:
|}
|}


=16=
= 16-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 657: Line 647:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L15s
| | [[1L 15s]]
| | 15\16 < g < 1
| | 15\16 < g < 1
| | ''g = 16\17, 17\18, 18\19''
| | ''g = 16\17, 17\18, 18\19''
| | 15g-14+1-g = 14g-13
| | 15g-14+1-g = 14g-13
|-
|-
| | 2L14s
| | [[2L 14s]]
| | 7\16 < g < 1\2
| | 7\16 < g < 1\2
| | g = ''8\18, 9\20'', 10\22
| | g = ''8\18, 9\20'', 10\22
| | 7g-3+1\2-g = 5\2-6g
| | 7g-3+1\2-g = 5\2-6g
|-
|-
| | 3L13s
| | [[3L 13s]]
| | 5\16 < g < 1\3
| | 5\16 < g < 1\3
| | g = ''6\19'', 7\22, 8\25
| | g = ''6\19'', 7\22, 8\25
| | 13g-4+1-3g = 10g-3
| | 13g-4+1-3g = 10g-3
|-
|-
| | 4L12s
| | [[4L 12s]]
| | 3\16 < g < 1\4
| | 3\16 < g < 1\4
| | g = ''4\20'', 5\24, 6\28
| | g = ''4\20'', 5\24, 6\28
| | 3g-1\2+1\4-g = 2g-1\4
| | 3g-1\2+1\4-g = 2g-1\4
|-
|-
| | 5L11s
| | [[5L 11s]]
| | 3\16 < g < 1\5
| | 3\16 < g < 1\5
| | g = 4\21, 5\26, 6\31
| | g = 4\21, 5\26, 6\31
| | 11g-2+1-5g = 6g-1
| | 11g-2+1-5g = 6g-1
|-
|-
| | 6L10s
| | [[6L 10s]]
| | 5\16 < g < 2\6
| | 5\16 < g < 2\6
| | g = 7\22, 9\28, 11\34
| | g = 7\22, 9\28, 11\34
| | 5g-3\2+1-3g = 2g-1\2
| | 5g-3\2+1-3g = 2g-1\2
|-
|-
| | 7L9s
| | [[7L 9s]]
| | 9\16 < g < 4\7
| | 9\16 < g < 4\7
| | g = 13\23, 17\30, 21\37
| | g = 13\23, 17\30, 21\37
| | 9g-5+4-7g = 2g-1
| | 9g-5+4-7g = 2g-1
|-
|-
| | 8L8s
| | [[8L 8s]]
| | 1\16 < g < 1\8
| | 1\16 < g < 1\8
| | g = 2\24, 3\32, 4\40
| | g = 2\24, 3\32, 4\40
| | g+1\8-g = 1\8
| | g+1\8-g = 1\8
|-
|-
| | 9L7s
| | [[9L 7s]]
| | 7\16 < g < 4\9
| | 7\16 < g < 4\9
| | g = 11\25, 15\34, 19\43
| | g = 11\25, 15\34, 19\43
| | 7g-3+4-9g = 1-2g
| | 7g-3+4-9g = 1-2g
|-
|-
| | 10L6s
| | [[10L 6s]]
| | 3\16 < g < 2\10
| | 3\16 < g < 2\10
| | g = 5\26, 7\36, 8\46
| | g = 5\26, 7\36, 8\46
| | 3g-1\2+1-5g = 1\2-2g
| | 3g-1\2+1-5g = 1\2-2g
|-
|-
| | 11L5s
| | [[11L 5s]]
| | 13\16 < g < 9\11
| | 13\16 < g < 9\11
| | g = 22\27, 31\38, 40\49
| | g = 22\27, 31\38, 40\49
| | 5g-4+9-11g = 5-6g
| | 5g-4+9-11g = 5-6g
|-
|-
| | 12L4s
| | [[12L 4s]]
| | 1\16 < g < 1\12
| | 1\16 < g < 1\12
| | g = 2\28, 3\40, 4\52
| | g = 2\28, 3\40, 4\52
| | g+1\4-3g = 1\4-2g
| | g+1\4-3g = 1\4-2g
|-
|-
| | 13L3s
| | [[13L 3s]]
| | 11\16 < g < 9\13
| | 11\16 < g < 9\13
| | g = 20\29, 29\42, 38\55
| | g = 20\29, 29\42, 38\55
| | 3g-2+9-13g = 7-10g
| | 3g-2+9-13g = 7-10g
|-
|-
| | 14L2s
| | [[14L 2s]]
| | 1\16 < g < 1\14
| | 1\16 < g < 1\14
| | g = 2\30, 3\44, 4\58
| | g = 2\30, 3\44, 4\58
| | g+1\2-7g = 1\2-6g
| | g+1\2-7g = 1\2-6g
|-
|-
| | 15L1s
| | [[15L 1s]]
| | 1\16 < g < 1\15
| | 1\16 < g < 1\15
| | g = 2\31, 3\46, 4\61
| | g = 2\31, 3\46, 4\61
Line 733: Line 723:
|}
|}


=17=
= 17-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 742: Line 731:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L16s
| | [[1L 16s]]
| | 16\17 < g < 1
| | 16\17 < g < 1
| | ''g = 17\18, 18\19, 19\20''
| | ''g = 17\18, 18\19, 19\20''
| | 16g-15+1-g = 15g-14
| | 16g-15+1-g = 15g-14
|-
|-
| | 2L15s
| | [[2L 15s]]
| | 8\17 < g < 1\2
| | 8\17 < g < 1\2
| | g = ''9\19'', ''10\21'', 11\23
| | g = ''9\19'', ''10\21'', 11\23
| | 15g-7+1-2g = 13g-6
| | 15g-7+1-2g = 13g-6
|-
|-
| | 3L14s
| | [[3L 14s]]
| | 11\17 < g < 2\3
| | 11\17 < g < 2\3
| | g = ''13\20'', 15\23, 17\26
| | g = ''13\20'', 15\23, 17\26
| | 14g-9+2-3g = 11g-7
| | 14g-9+2-3g = 11g-7
|-
|-
| | 4L13s
| | [[4L 13s]]
| | 4\17 < g < 1\4
| | 4\17 < g < 1\4
| | g = ''5\21'', 6\25, 7\29
| | g = ''5\21'', 6\25, 7\29
| | 13g-3+1-4g = 9g-2
| | 13g-3+1-4g = 9g-2
|-
|-
| | 5L12s
| | [[5L 12s]]
| | 10\17 < g < 3\5
| | 10\17 < g < 3\5
| | g = 13\22, 16\27, 19\32
| | g = 13\22, 16\27, 19\32
| | 12g-7+3-5g = 7g-4
| | 12g-7+3-5g = 7g-4
|-
|-
| | 6L11s
| | [[6L 11s]]
| | 14\17 < g < 5\6
| | 14\17 < g < 5\6
| | g = 19\23, 24\29, 29\35
| | g = 19\23, 24\29, 29\35
| | 11g-9+5-6g = 5g-4
| | 11g-9+5-6g = 5g-4
|-
|-
| | 7L10s
| | [[7L 10s]]
| | 12\17 < g < 5\7
| | 12\17 < g < 5\7
| | g = 17\24, 22\31, 27\38
| | g = 17\24, 22\31, 27\38
| | 10g-7+5-7g = 3g-2
| | 10g-7+5-7g = 3g-2
|-
|-
| | 8L9s
| | [[8L 9s]]
| | 2\17 < g < 1\8
| | 2\17 < g < 1\8
| | g = 3\25, 4\33, 5\41
| | g = 3\25, 4\33, 5\41
| | 9g-1+1-8g = g
| | 9g-1+1-8g = g
|-
|-
| | 9L8s
| | [[9L 8s]]
| | 15\17 < g < 8\9
| | 15\17 < g < 8\9
| | g = 23\26, 31\35, 39\44
| | g = 23\26, 31\35, 39\44
| | 8g-7+8-9g = 1-g
| | 8g-7+8-9g = 1-g
|-
|-
| | 10L7s
| | [[10L 7s]]
| | 5\17 < g < 3\10
| | 5\17 < g < 3\10
| | g = 8\27, 11\37, 14\47
| | g = 8\27, 11\37, 14\47
| | 7g-2+3-10g = 1-3g
| | 7g-2+3-10g = 1-3g
|-
|-
| | 11L6s
| | [[11L 6s]]
| | 3\17 < g < 2\11
| | 3\17 < g < 2\11
| | g = 5\28, 7\39, 9\50
| | g = 5\28, 7\39, 9\50
| | 6g-1+2-11g = 1-5g
| | 6g-1+2-11g = 1-5g
|-
|-
| | 12L5s
| | [[12L 5s]]
| | 7\17 < g < 5\12
| | 7\17 < g < 5\12
| | g = 12\29, 17\41, 22\53
| | g = 12\29, 17\41, 22\53
| | 5g-2+5-12g = 3-7g
| | 5g-2+5-12g = 3-7g
|-
|-
| | 13L4s
| | [[13L 4s]]
| | 13\17 < g < 10\13
| | 13\17 < g < 10\13
| | g = 23\30, 33\43, 43\56
| | g = 23\30, 33\43, 43\56
| | 4g-3+10-13g = 7-9g
| | 4g-3+10-13g = 7-9g
|-
|-
| | 14L3s
| | [[14L 3s]]
| | 6\17 < g < 5\14
| | 6\17 < g < 5\14
| | g = 11\31, 16\45, 21\59
| | g = 11\31, 16\45, 21\59
| | 3g-1+5-14g = 4-11g
| | 3g-1+5-14g = 4-11g
|-
|-
| | 15L2s
| | [[15L 2s]]
| | 9\17 < g < 8\15
| | 9\17 < g < 8\15
| | g = 17\32, 25\47, 33\62
| | g = 17\32, 25\47, 33\62
| | 2g-1+8-15g = 7-13g
| | 2g-1+8-15g = 7-13g
|-
|-
| | 16L1s
| | [[16L 1s]]
| | 1\17 < g < 1\16
| | 1\17 < g < 1\16
| | g = 2\33, 3\49, 4\65
| | g = 2\33, 3\49, 4\65
Line 823: Line 812:
|}
|}


=18=
= 18-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 832: Line 820:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L17s
| | [[1L 17s]]
| | 17\18 < g < 1
| | 17\18 < g < 1
| | ''g = 18\19, 19\20, 20\21''
| | ''g = 18\19, 19\20, 20\21''
| | 17g-16+1-g = 16g-15
| | 17g-16+1-g = 16g-15
|-
|-
| | 2L16s
| | [[2L 16s]]
| | 8\18 < g < 1\2
| | 8\18 < g < 1\2
| | g = ''9\20'', ''10\22'', 11\24
| | g = ''9\20'', ''10\22'', 11\24
| | 8g-7\2+1\2-g = 7g-3
| | 8g-7\2+1\2-g = 7g-3
|-
|-
| | 3L15s
| | [[3L 15s]]
| | 5\18 < g < 1\3
| | 5\18 < g < 1\3
| | g = ''6\21'', 7\24, 8\27
| | g = ''6\21'', 7\24, 8\27
| | 5g-4\3+1\3-g = 4g-3
| | 5g-4\3+1\3-g = 4g-3
|-
|-
| | 4L14s
| | [[4L 14s]]
| | <span style="line-height: 15.6000003814697px;">4\18 &lt; g &lt; 1\4</span>
| | <span style="line-height: 15.6000003814697px;">4\18 &lt; g &lt; 1\4</span>
| | <span style="line-height: 15.6000003814697px;">g = ''5\22'', 6\26,</span> 7\30
| | <span style="line-height: 15.6000003814697px;">g = ''5\22'', 6\26,</span> 7\30
| | 7g-3\2+1\2-2g = 5g-2
| | 7g-3\2+1\2-2g = 5g-2
|-
|-
| | 5L13s
| | [[5L 13s]]
| | 7\18 &lt; g &lt; 2\5
| | 7\18 &lt; g &lt; 2\5
| | g = 9\23, 11\28, 13\33
| | g = 9\23, 11\28, 13\33
| | 13g-5+2-5g = 8g-3
| | 13g-5+2-5g = 8g-3
|-
|-
| | 6L12s
| | [[6L 12s]]
| | 2\18 &lt; g &lt; 1\6
| | 2\18 &lt; g &lt; 1\6
| | g = 3\24, 4\30, 5\36
| | g = 3\24, 4\30, 5\36
| | 2g-1\6+1\6-g = g
| | 2g-1\6+1\6-g = g
|-
|-
| | 7L11s
| | [[7L 11s]]
| | 5\18 &lt; g &lt; 2\7
| | 5\18 &lt; g &lt; 2\7
| | g = 7\25, 9\32, 11\39
| | g = 7\25, 9\32, 11\39
| | 11g-3+2-7g = 4g-1
| | 11g-3+2-7g = 4g-1
|-
|-
| | 8L10s
| | [[8L 10s]]
| | 2\18 &lt; g &lt; 1\8
| | 2\18 &lt; g &lt; 1\8
| | g = 3\26, 4\34, 5\42
| | g = 3\26, 4\34, 5\42
| | 5g-1\2+1\2-4g = g
| | 5g-1\2+1\2-4g = g
|-
|-
| | 9L9s
| | [[9L 9s]]
| | 1\18 &lt; g &lt; 1\9
| | 1\18 &lt; g &lt; 1\9
| | g = 2\27, 3\36, 4\45
| | g = 2\27, 3\36, 4\45
| | g+1\9-g = 1\9
| | g+1\9-g = 1\9
|-
|-
| | 10L8s
| | [[10L 8s]]
| | 7\18 &lt; g &lt; 4\10
| | 7\18 &lt; g &lt; 4\10
| | g = 11\28, 15\38, 19\48
| | g = 11\28, 15\38, 19\48
| | 4g-3\2+2-5g = 1\2-g
| | 4g-3\2+2-5g = 1\2-g
|-
|-
| | 11L7s
| | [[11L 7s]]
| | 13\18 &lt; g &lt; 8\11
| | 13\18 &lt; g &lt; 8\11
| | g = 21\29, 29\40, 37\51
| | g = 21\29, 29\40, 37\51
| | 7g-5+8-11g = 3-4g
| | 7g-5+8-11g = 3-4g
|-
|-
| | 12L6s
| | [[12L 6s]]
| | 1\18 &lt; g &lt; 1\12
| | 1\18 &lt; g &lt; 1\12
| | g = 2\30, 3\42, 4\54
| | g = 2\30, 3\42, 4\54
| | g+1\6-2g = 1\6-g
| | g+1\6-2g = 1\6-g
|-
|-
| | 13L5s
| | [[13L 5s]]
| | 11\18 &lt; g &lt; 8\13
| | 11\18 &lt; g &lt; 8\13
| | g = 19\31, 27\44, 35\57
| | g = 19\31, 27\44, 35\57
| | 5g-3+8-13g = 5-8g
| | 5g-3+8-13g = 5-8g
|-
|-
| | 14L4s
| | [[14L 4s]]
| | 5\18 &lt; g &lt; 4\14
| | 5\18 &lt; g &lt; 4\14
| | g = 9\32, 13\46, 17\60
| | g = 9\32, 13\46, 17\60
| | 2g-1\2+2-7g = 3\2-5g
| | 2g-1\2+2-7g = 3\2-5g
|-
|-
| | 15L3s
| | [[15L 3s]]
| | 1\18 &lt; g &lt; 1\15
| | 1\18 &lt; g &lt; 1\15
| | g = 2\33, 3\48, 4\63
| | g = 2\33, 3\48, 4\63
| | g+1\3-5g = 1\3-4g
| | g+1\3-5g = 1\3-4g
|-
|-
| | 16L2s
| | [[16L 2s]]
| | 1\18 &lt; g &lt; 1\16
| | 1\18 &lt; g &lt; 1\16
| | g = 2\34, 3\50, 4\66
| | g = 2\34, 3\50, 4\66
| | g+1\2-8g = 1\2-7g
| | g+1\2-8g = 1\2-7g
|-
|-
| | 17L1s
| | [[17L 1s]]
| | 1\18 &lt; g &lt; 1\17
| | 1\18 &lt; g &lt; 1\17
| | g = 2\35, 3\52, 4\69
| | g = 2\35, 3\52, 4\69
Line 918: Line 906:
|}
|}


=19=
= 19-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 927: Line 914:
! |Large step+Small step
! |Large step+Small step
|-
|-
| | 1L18s
| | [[1L 18s]]
| | 18\19 &lt; g &lt; 1
| | 18\19 &lt; g &lt; 1
| | ''g = 19\20, 20\21, 21\22''
| | ''g = 19\20, 20\21, 21\22''
| |18g-17+1-g = 17g-16
| |18g-17+1-g = 17g-16
|-
|-
| | 2L17s
| | [[2L 17s]]
| | 9\19 &lt; g &lt; 1\2
| | 9\19 &lt; g &lt; 1\2
| | g = ''10\21'', ''11\23'', 12\25
| | g = ''10\21'', ''11\23'', 12\25
| |17g-8+1-2g = 15g-7
| |17g-8+1-2g = 15g-7
|-
|-
| | 3L16s
| | [[3L 16s]]
| | 6\19 &lt; g &lt; 1\3
| | 6\19 &lt; g &lt; 1\3
| | g = ''7\22'', 8\25, 10\31
| | g = ''7\22'', 8\25, 10\31
| |16g-5+1-3g = 13g-4
| |16g-5+1-3g = 13g-4
|-
|-
| | 4L15s
| | [[4L 15s]]
| | 14\19 &lt; g &lt; 3\4
| | 14\19 &lt; g &lt; 3\4
| | g = ''17\23'', 20\27, 23\31
| | g = ''17\23'', 20\27, 23\31
| |15g-11+3-4g = 11g-8
| |15g-11+3-4g = 11g-8
|-
|-
| | 5L14s
| | [[5L 14s]]
| | 15\19 &lt; g &lt; 4\5
| | 15\19 &lt; g &lt; 4\5
| | g = 19\24, 23\29, 27\34
| | g = 19\24, 23\29, 27\34
| |14g-11+4-5g = 9g-7
| |14g-11+4-5g = 9g-7
|-
|-
| | 6L13s
| | [[6L 13s]]
| | 3\19 &lt; g &lt; 1\6
| | 3\19 &lt; g &lt; 1\6
| | g = 4\25, 5\31, 6/37
| | g = 4\25, 5\31, 6/37
| |13g-2+1-6g = 7g-1
| |13g-2+1-6g = 7g-1
|-
|-
| | 7L12s
| | [[7L 12s]]
| | 8\19 &lt; g &lt; 3\7
| | 8\19 &lt; g &lt; 3\7
| | g = 11\26, 14\33, 17\40
| | g = 11\26, 14\33, 17\40
| |12g-5+3-7g = 5g-2
| |12g-5+3-7g = 5g-2
|-
|-
| | 8L11s
| | [[8L 11s]]
| | 7\19 &lt; g &lt; 3\8
| | 7\19 &lt; g &lt; 3\8
| | g = 10\27, 13\35, 16\43
| | g = 10\27, 13\35, 16\43
| |11g-4+3-8g = 3g-1
| |11g-4+3-8g = 3g-1
|-
|-
| | 9L10s
| | [[9L 10s]]
| | 2\19 &lt; g &lt; 1\9
| | 2\19 &lt; g &lt; 1\9
| | g = 3\28, 4\37, 5\46
| | g = 3\28, 4\37, 5\46
| |10g-1+1-9g = g
| |10g-1+1-9g = g
|-
|-
| | 10L9s
| | [[10L 9s]]
| | 17\19 &lt; g &lt; 9\10
| | 17\19 &lt; g &lt; 9\10
| | g = 26\29, 35\39, 44\49
| | g = 26\29, 35\39, 44\49
| |9g-8+9-10g = 1-g
| |9g-8+9-10g = 1-g
|-
|-
| | 11L8s
| | [[11L 8s]]
| | 12\19 &lt; g &lt; 7\11
| | 12\19 &lt; g &lt; 7\11
| | g = 19\30, 26\41, 33\52
| | g = 19\30, 26\41, 33\52
| |8g-5+7-11g = 2-3g
| |8g-5+7-11g = 2-3g
|-
|-
| | 12L7s
| | [[12L 7s]]
| | 11\19 &lt; g &lt; 7\12
| | 11\19 &lt; g &lt; 7\12
| | g = 18\31, 25\43, 32\55
| | g = 18\31, 25\43, 32\55
| |7g-4+7-12g = 3-5g
| |7g-4+7-12g = 3-5g
|-
|-
| | 13L6s
| | [[13L 6s]]
| | 16\19 &lt; g &lt; 11\13
| | 16\19 &lt; g &lt; 11\13
| | g = 27\32, 38\45, 49\58
| | g = 27\32, 38\45, 49\58
| |6g-5+11-13g = 6-7g
| |6g-5+11-13g = 6-7g
|-
|-
| | 14L5s
| | [[14L 5s]]
| | 4\19 &lt; g &lt; 3\14
| | 4\19 &lt; g &lt; 3\14
| | g = 7\33, 10\47, 13\61
| | g = 7\33, 10\47, 13\61
| |5g-1+3-14g = 2-9g
| |5g-1+3-14g = 2-9g
|-
|-
| | 15L4s
| | [[15L 4s]]
| | 5\19 &lt; g &lt; 4\15
| | 5\19 &lt; g &lt; 4\15
| | g = 9\34, 13\49, 17\64
| | g = 9\34, 13\49, 17\64
| |4g-1+4-15g = 3-11g
| |4g-1+4-15g = 3-11g
|-
|-
| | 16L3s
| | [[16L 3s]]
| | 13\19 &lt; g &lt; 11\16
| | 13\19 &lt; g &lt; 11\16
| | g = 24\35, 35\51, 46\67
| | g = 24\35, 35\51, 46\67
| |3g-2+11-16g = 9-13g
| |3g-2+11-16g = 9-13g
|-
|-
| | 17L2s
| | [[17L 2s]]
| | 10\19 &lt; g &lt; 9\17
| | 10\19 &lt; g &lt; 9\17
| | g = 19\36, 28\53, 37\70
| | g = 19\36, 28\53, 37\70
| |2g-1+9-17g = 8-15g
| |2g-1+9-17g = 8-15g
|-
|-
| | 18L1s
| | [[18L 1s]]
| | 1\19 &lt; g &lt; 1\18
| | 1\19 &lt; g &lt; 1\18
| | g = 2\37, 3\55, 4\73
| | g = 2\37, 3\55, 4\73
Line 1,018: Line 1,005:
|}
|}


=20=
= 20-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 1,027: Line 1,013:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L19s
| | [[1L 19s]]
| | 19\20 &lt; g &lt; 1
| | 19\20 &lt; g &lt; 1
| | ''g = 20\21, 21\22, 22\23''
| | ''g = 20\21, 21\22, 22\23''
| | 19g-18+1-g = 18g-17
| | 19g-18+1-g = 18g-17
|-
|-
| | 2L18s
| | [[2L 18s]]
| | 9\20 &lt; g &lt; 1\2
| | 9\20 &lt; g &lt; 1\2
| | g = ''10\22'', ''11\24'', 12\26
| | g = ''10\22'', ''11\24'', 12\26
| | 9g-4+1\2-g = 8g-7\2
| | 9g-4+1\2-g = 8g-7\2
|-
|-
| | 3L17s
| | [[3L 17s]]
| | 13\20 &lt; g &lt; 2\3
| | 13\20 &lt; g &lt; 2\3
| | g = ''15\23'', 17\26, 20\29
| | g = ''15\23'', 17\26, 20\29
| | 17g-11+2-3g = 14g-9
| | 17g-11+2-3g = 14g-9
|-
|-
| | 4L16s
| | [[4L 16s]]
| | 4\20 &lt; g &lt; 1\4
| | 4\20 &lt; g &lt; 1\4
| | g = ''5\24'', 6\28, 7\32
| | g = ''5\24'', 6\28, 7\32
| | 4g-3\4+1\4-g = 3g-1\4
| | 4g-3\4+1\4-g = 3g-1\4
|-
|-
| | 5L15s
| | [[5L 15s]]
| | 3\20 &lt; g &lt; 1\5
| | 3\20 &lt; g &lt; 1\5
| | g = ''4\25'', 5\30, 6\35
| | g = ''4\25'', 5\30, 6\35
| | 3g-2\5+1\5-g = 2g-1\5
| | 3g-2\5+1\5-g = 2g-1\5
|-
|-
| | 6L14s
| | [[6L 14s]]
| | 3\20 &lt; g &lt; 1\6
| | 3\20 &lt; g &lt; 1\6
| | g = 4\26, 5\32, 6\38
| | g = 4\26, 5\32, 6\38
| | 7g-1+1\2-3g = 4g-1\2
| | 7g-1+1\2-3g = 4g-1\2
|-
|-
| | 7L13s
| | [[7L 13s]]
| | 17\20 &lt; g &lt; 6\7
| | 17\20 &lt; g &lt; 6\7
| | g = 23\27, 29\34, 35\41
| | g = 23\27, 29\34, 35\41
| | 13g-11+6-7g = 6g-5
| | 13g-11+6-7g = 6g-5
|-
|-
| | 8L12s
| | [[8L 12s]]
| | 2\20 &lt; g &lt; 1\8
| | 2\20 &lt; g &lt; 1\8
| | g = 3\28, 4\36, 5\44
| | g = 3\28, 4\36, 5\44
| | 3g-1\4+1\4-2g = g
| | 3g-1\4+1\4-2g = g
|-
|-
| | 9L11s
| | [[9L 11s]]
| | 11\20 &lt; g &lt; 5\9
| | 11\20 &lt; g &lt; 5\9
| | g = 16\29, 21\38, 26\47
| | g = 16\29, 21\38, 26\47
| | 11g-6+5-9g =2g-1  
| | 11g-6+5-9g =2g-1  
|-
|-
| | 10L10s
| | [[10L 10s]]
| | 1\20 &lt; g &lt; 1\10
| | 1\20 &lt; g &lt; 1\10
| | g = 2\30, 3\40, 4\50
| | g = 2\30, 3\40, 4\50
| | g+1\10-g = 1\10
| | g+1\10-g = 1\10
|-
|-
| | 11L9s
| | [[11L 9s]]
| | 9\20 &lt; g &lt; 5\11
| | 9\20 &lt; g &lt; 5\11
| | g = 14\31, 19\42, 24\53
| | g = 14\31, 19\42, 24\53
| | 9g-4+5-11g = 1-2g
| | 9g-4+5-11g = 1-2g
|-
|-
| | 12L8s
| | [[12L 8s]]
| | 3\20 &lt; g &lt; 2\12
| | 3\20 &lt; g &lt; 2\12
| | g = 5\32, 7\44, 9\56
| | g = 5\32, 7\44, 9\56
| | 2g-1\4+1\2-3g = 1\4-g
| | 2g-1\4+1\2-3g = 1\4-g
|-
|-
| | 13L7s
| | [[13L 7s]]
| | 3\20 &lt; g &lt; 2\13
| | 3\20 &lt; g &lt; 2\13
| | g = 5\33, 7\46, 9\59
| | g = 5\33, 7\46, 9\59
| | 7g-1+2-13g = 1-6g
| | 7g-1+2-13g = 1-6g
|-
|-
| | 14L6s
| | [[14L 6s]]
| | 7\20 &lt; g &lt; 5\14
| | 7\20 &lt; g &lt; 5\14
| | g = 12\34, 17\48, 22\62
| | g = 12\34, 17\48, 22\62
| | 3g-1+5\2-7g = 2-4g
| | 3g-1+5\2-7g = 2-4g
|-
|-
| | 15L5s
| | [[15L 5s]]
| | 1\20 &lt; g &lt; 1\15
| | 1\20 &lt; g &lt; 1\15
| | g = 2\35, 3\50, 4\65
| | g = 2\35, 3\50, 4\65
| | g+1\5-3g = 1\5-2g
| | g+1\5-3g = 1\5-2g
|-
|-
| | 16L4s
| | [[16L 4s]]
| | 1\20 &lt; g &lt; 1\16
| | 1\20 &lt; g &lt; 1\16
| | g = 2\36, 3\52, 4\68
| | g = 2\36, 3\52, 4\68
| | g+1\4-4g = 1\4-3g
| | g+1\4-4g = 1\4-3g
|-
|-
| | 17L3s
| | [[17L 3s]]
| | 7\20 &lt; g &lt; 6\17
| | 7\20 &lt; g &lt; 6\17
| | g = 13\37, 19\54, 25\71
| | g = 13\37, 19\54, 25\71
| | 3g-1+6-17g = 5-14g
| | 3g-1+6-17g = 5-14g
|-
|-
| | 18L2s
| | [[18L 2s]]
| | 1\20 &lt; g &lt; 1\18
| | 1\20 &lt; g &lt; 1\18
| | g = 2\38, 3\56, 4\74
| | g = 2\38, 3\56, 4\74
| | g+1\2-9g = 1\2-8g
| | g+1\2-9g = 1\2-8g
|-
|-
| | 19L1s
| | [[19L 1s]]
| | 1\20 &lt; g &lt; 1\19
| | 1\20 &lt; g &lt; 1\19
| | g = 2\39, 3\58, 4\77
| | g = 2\39, 3\58, 4\77
Line 1,123: Line 1,109:
|}
|}


=21=
= 21-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 1,132: Line 1,117:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L20s
| | [[1L 20s]]
| | 20\21 &lt; g &lt; 1
| | 20\21 &lt; g &lt; 1
| | ''g = 21\22, 22\23, 23\24''
| | ''g = 21\22, 22\23, 23\24''
| | 20g-19+1-g = 19g-18
| | 20g-19+1-g = 19g-18
|-
|-
| | 2L19s
| | [[2L 19s]]
| | 10\21 &lt; g &lt; 1\2
| | 10\21 &lt; g &lt; 1\2
| | g = ''11\23, 12\25'', 13\27
| | g = ''11\23, 12\25'', 13\27
| | 19g-9+1-2g = 17g-8
| | 19g-9+1-2g = 17g-8
|-
|-
| | 3L18s
| | [[3L 18s]]
| | 6\21 &lt; g &lt; 1\3
| | 6\21 &lt; g &lt; 1\3
| | g = ''7\24'', 8\27, 9\30
| | g = ''7\24'', 8\27, 9\30
| | 6g-5\3+1\3-g = 5g-4\3
| | 6g-5\3+1\3-g = 5g-4\3
|-
|-
| | 4L17s
| | [[4L 17s]]
| | 5\21 &lt; g &lt; 1\4
| | 5\21 &lt; g &lt; 1\4
| | g = ''6\25'', 7\29, 8\33
| | g = ''6\25'', 7\29, 8\33
| | 17g-2+1-4g = 13g-1
| | 17g-2+1-4g = 13g-1
|-
|-
| | 5L16s
| | [[5L 16s]]
| | 4\21 &lt; g &lt; 1\5
| | 4\21 &lt; g &lt; 1\5
| | g = ''5\26'', 6\31, 7\36
| | g = ''5\26'', 6\31, 7\36
| | 16g-3+1-5g = 11g-2
| | 16g-3+1-5g = 11g-2
|-
|-
| | 6L15s
| | [[6L 15s]]
| | 3\21 &lt; g &lt; 1\6
| | 3\21 &lt; g &lt; 1\6
| | g = 4\27, 5\33, 6\39
| | g = 4\27, 5\33, 6\39
| | 5g-2\3+1\3-2g = 3g-1\3
| | 5g-2\3+1\3-2g = 3g-1\3
|-
|-
| | 7L14s
| | [[7L 14s]]
| | 2\21 &lt; g &lt; 1\7
| | 2\21 &lt; g &lt; 1\7
| | g = 3\28, 4\35, 5\42
| | g = 3\28, 4\35, 5\42
| | 2g-1\7+1\7-g = g
| | 2g-1\7+1\7-g = g
|-
|-
| | 8L13s
| | [[8L 13s]]
| | 13\21 &lt; g &lt; 5\8
| | 13\21 &lt; g &lt; 5\8
| | g = 18\29, 23\37, 28\45
| | g = 18\29, 23\37, 28\45
| | 13g-8+5-8g = 5g-3
| | 13g-8+5-8g = 5g-3
|-
|-
| | 9L12s
| | [[9L 12s]]
| | 2\21 &lt; g &lt; 1\9
| | 2\21 &lt; g &lt; 1\9
| | g = 3\30, 4\39, 5\48
| | g = 3\30, 4\39, 5\48
| | 4g-1\3+1\3-3g = g
| | 4g-1\3+1\3-3g = g
|-
|-
| | 10L11s
| | [[10L 11s]]
| | 2\21 &lt; g &lt; 1\10
| | 2\21 &lt; g &lt; 1\10
| | g = 3\31, 4\41, 5\51
| | g = 3\31, 4\41, 5\51
| | 11g-1+1-10g = g
| | 11g-1+1-10g = g
|-
|-
| | 11L10s
| | [[11L 10s]]
| | 19\21 &lt; g &lt; 10\11
| | 19\21 &lt; g &lt; 10\11
| | g = 29\32, 39\43, 49\54
| | g = 29\32, 39\43, 49\54
| | 10g-9+10-11g = 1-g
| | 10g-9+10-11g = 1-g
|-
|-
| | 12L9s
| | [[12L 9s]]
| | 5\21 &lt; g &lt; 3\12
| | 5\21 &lt; g &lt; 3\12
| | g = 8\33, 11\45, 14\57
| | g = 8\33, 11\45, 14\57
| | 3g-2\3+1-4g = 1\3-3g
| | 3g-2\3+1-4g = 1\3-3g
|-
|-
| | 13L8s
| | [[13L 8s]]
| | 8\21 &lt; g &lt; 5\13
| | 8\21 &lt; g &lt; 5\13
| | g = 13\34, 18\47, 23\70
| | g = 13\34, 18\47, 23\70
| | 8g-3+5-13g = 2-5g
| | 8g-3+5-13g = 2-5g
|-
|-
| | 14L7s
| | [[14L 7s]]
| | 1\21 &lt; g &lt; 1\14
| | 1\21 &lt; g &lt; 1\14
| | g = 2\35, 3\49, 4\63
| | g = 2\35, 3\49, 4\63
| | g+1\7-2g = 1\7-g
| | g+1\7-2g = 1\7-g
|-
|-
| | 15L6s
| | [[15L 6s]]
| | 4\21 &lt; g &lt; 3\15
| | 4\21 &lt; g &lt; 3\15
| | g = 7\36, 10\51, 13\66
| | g = 7\36, 10\51, 13\66
| | 2g-1\3+1-5g = 2\3-3g
| | 2g-1\3+1-5g = 2\3-3g
|-
|-
| | 16L5s
| | [[16L 5s]]
| | 17\21 &lt; g &lt; 13\16
| | 17\21 &lt; g &lt; 13\16
| | g = 30\37, 43\53, 56\69
| | g = 30\37, 43\53, 56\69
| | 5g-4+13-16g = 9-11g
| | 5g-4+13-16g = 9-11g
|-
|-
| | 17L4s
| | [[17L 4s]]
| | 16\21 &lt; g &lt; 13\17
| | 16\21 &lt; g &lt; 13\17
| | g = 29\38, 42\55, 55\72
| | g = 29\38, 42\55, 55\72
| | 4g-3+13-17g = 10-13g
| | 4g-3+13-17g = 10-13g
|-
|-
| | 18L3s
| | [[18L 3s]]
| | 1\21 &lt; g &lt; 1\18
| | 1\21 &lt; g &lt; 1\18
| | g = 2\39, 3\57, 4\75
| | g = 2\39, 3\57, 4\75
| | g+1\3-6g = 1\3-5g
| | g+1\3-6g = 1\3-5g
|-
|-
| | 19L2s
| | [[19L 2s]]
| | 11\21 &lt; g &lt; 10\19
| | 11\21 &lt; g &lt; 10\19
| | g = 21\40, 31\59, 41\78
| | g = 21\40, 31\59, 41\78
| | 2g-1+10-19g = 9-17g
| | 2g-1+10-19g = 9-17g
|-
|-
| | 20L1s
| | [[20L 1s]]
| | 1\21 &lt; g &lt; 1\20
| | 1\21 &lt; g &lt; 1\20
| | g = 2\41, 3\61, 4/81
| | g = 2\41, 3\61, 4/81
Line 1,233: Line 1,218:
|}
|}


=22=
= 22-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 1,242: Line 1,226:
! |Large step+Small step
! |Large step+Small step
|-
|-
| | 1L21s
| | [[1L 21s]]
| | 21\22 &lt; g &lt; 1
| | 21\22 &lt; g &lt; 1
| | ''g = 22\23, 23\24, 24/25''
| | ''g = 22\23, 23\24, 24/25''
| |21g-20+1-g = 20g-19
| |21g-20+1-g = 20g-19
|-
|-
| | 2L20s
| | [[2L 20s]]
| | 10\22 &lt; g &lt; 1\2
| | 10\22 &lt; g &lt; 1\2
| | g = ''11\24,'' ''12\26'', 13\28
| | g = ''11\24,'' ''12\26'', 13\28
| |10g-9\2+1\2-g = 9g-4
| |10g-9\2+1\2-g = 9g-4
|-
|-
| | 3L19s
| | [[3L 19s]]
| | 7\22 &lt; g &lt; 1\3
| | 7\22 &lt; g &lt; 1\3
| | g = ''8\25'', 9\28, 10\31
| | g = ''8\25'', 9\28, 10\31
| |19g-6+1-3g = 16g-5
| |19g-6+1-3g = 16g-5
|-
|-
| | 4L18s
| | [[4L 18s]]
| | 5\22 &lt; g &lt; 1\4
| | 5\22 &lt; g &lt; 1\4
| | g = ''6\26'', 7\30, 8\34
| | g = ''6\26'', 7\30, 8\34
| |9g-2+1\2-2g = 7g-3\2
| |9g-2+1\2-2g = 7g-3\2
|-
|-
| | 5L17s
| | [[5L 17s]]
| | 13\22 &lt; g &lt; 3\5
| | 13\22 &lt; g &lt; 3\5
| | g = ''16\27'', 19\32, 22\37
| | g = ''16\27'', 19\32, 22\37
| |17g-10+3-5g = 12g-7
| |17g-10+3-5g = 12g-7
|-
|-
| | 6L16s
| | [[6L 16s]]
| | 7\22 &lt; g &lt; 2\6
| | 7\22 &lt; g &lt; 2\6
| | g = 9\28, 11\34, 13\40
| | g = 9\28, 11\34, 13\40
| |8g-5\2+1-3g = 5g-2
| |8g-5\2+1-3g = 5g-2
|-
|-
| | 7L15s
| | [[7L 15s]]
| | 3\22 &lt; g &lt; 1\7
| | 3\22 &lt; g &lt; 1\7
| | g = 4\29, 5\36, 6\43
| | g = 4\29, 5\36, 6\43
| |15g-2+1-7g = 8g-1
| |15g-2+1-7g = 8g-1
|-
|-
| | 8L14s
| | [[8L 14s]]
| | 8\22 &lt; g &lt; 3\8
| | 8\22 &lt; g &lt; 3\8
| | g = 11\30, 14\38, 17\46
| | g = 11\30, 14\38, 17\46
| |7g-5\2+3\2-4g = 3g-2
| |7g-5\2+3\2-4g = 3g-2
|-
|-
| | 9L13s
| | [[9L 13s]]
| | 17\22 &lt; g &lt; 7\9
| | 17\22 &lt; g &lt; 7\9
| | g = 24\31, 31\40, 38\49
| | g = 24\31, 31\40, 38\49
| |13g-10+7-9g = 4g-3
| |13g-10+7-9g = 4g-3
|-
|-
| | 10L12s
| | [[10L 12s]]
| | 2\22 &lt; g &lt; 1\10
| | 2\22 &lt; g &lt; 1\10
| | g = 3\32, 4\42, 5\52
| | g = 3\32, 4\42, 5\52
| |6g-1\2+1\2-5g = g
| |6g-1\2+1\2-5g = g
|-
|-
| | 11L11s
| | [[11L 11s]]
| | 1\22 &lt; g &lt; 1\11
| | 1\22 &lt; g &lt; 1\11
| | g = 2\33, 3\44, 4\55
| | g = 2\33, 3\44, 4\55
| |g + 1\11-g = 1\11
| |g + 1\11-g = 1\11
|-
|-
| | 12L10s
| | [[12L 10s]]
| | 9\22 &lt; g &lt; 5\12
| | 9\22 &lt; g &lt; 5\12
| | g = 14\34, 19\46, 24\58
| | g = 14\34, 19\46, 24\58
| |5g-2+5\2-6g = 1\2-g
| |5g-2+5\2-6g = 1\2-g
|-
|-
| | 13L9s
| | [[13L 9s]]
| | 5\22 &lt; g &lt; 3\13
| | 5\22 &lt; g &lt; 3\13
| | g = 8\35, 11\48, 14\61
| | g = 8\35, 11\48, 14\61
| |9g-2+3-13g = 1-4g
| |9g-2+3-13g = 1-4g
|-
|-
| | 14L8s
| | [[14L 8s]]
| | 3\22 &lt; g &lt; 2\14
| | 3\22 &lt; g &lt; 2\14
| | g = 5\36, 7\50, 9\64
| | g = 5\36, 7\50, 9\64
| |4g-1\2+1-7g = 1\2-3g
| |4g-1\2+1-7g = 1\2-3g
|-
|-
| | 15L7s
| | [[15L 7s]]
| | 19\22 &lt; g &lt; 13\15
| | 19\22 &lt; g &lt; 13\15
| | g = 32\37, 45\52, 58\67
| | g = 32\37, 45\52, 58\67
| |7g-6+13-15g = 7-8g
| |7g-6+13-15g = 7-8g
|-
|-
| | 16L6s
| | [[16L 6s]]
| | 4\22 &lt; g &lt; 3\16
| | 4\22 &lt; g &lt; 3\16
| | g = 7\38, 10\54, 13\70
| | g = 7\38, 10\54, 13\70
| |3g-1\2+3\2-8g = 1-5g
| |3g-1\2+3\2-8g = 1-5g
|-
|-
| | 17L5s
| | [[17L 5s]]
| | 9\22 &lt; g &lt; 7\17
| | 9\22 &lt; g &lt; 7\17
| | g = 16\39, 23\56, 30\73
| | g = 16\39, 23\56, 30\73
| |5g-2+7-17g = 5-12g
| |5g-2+7-17g = 5-12g
|-
|-
| | 18L4s
| | [[18L 4s]]
| | 6\22 &lt; g &lt; 5\18
| | 6\22 &lt; g &lt; 5\18
| | g = 11\40, 16\58, 21\76
| | g = 11\40, 16\58, 21\76
| |2g-1\2+5\2-9g = 2-7g
| |2g-1\2+5\2-9g = 2-7g
|-
|-
| | 19L3s
| | [[19L 3s]]
| | 15\22 &lt; g &lt; 13\19
| | 15\22 &lt; g &lt; 13\19
| | g = 28\41, 41\60, 54\79
| | g = 28\41, 41\60, 54\79
| |3g-2+13-19g = 11-16g
| |3g-2+13-19g = 11-16g
|-
|-
| | 20L2s
| | [[20L 2s]]
| | 1\22 &lt; g &lt; 1\20
| | 1\22 &lt; g &lt; 1\20
| | g = 2\42, 3\62, 4\72
| | g = 2\42, 3\62, 4\72
| |g+1\2-10g = 1\2-9g
| |g+1\2-10g = 1\2-9g
|-
|-
| | 21L1s
| | [[21L 1s]]
| | 1\22 &lt; g &lt; 1\21
| | 1\22 &lt; g &lt; 1\21
| | g = 2\43, 3\64, 4\85
| | g = 2\43, 3\64, 4\85
Line 1,348: Line 1,332:
|}
|}


=23=
= 23-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 1,357: Line 1,340:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L22s
| | [[1L 22s]]
| | <span style="line-height: 15.6000003814697px;">22\23 &lt; g &lt; 1</span>
| | 22\23 &lt; g &lt; 1
| | ''g = 23\24, 24\25, 25\26''
| | ''g = 23\24, 24\25, 25\26''
| | 22g-21+1-g = 21g-20
| | 22g-21+1-g = 21g-20
|-
|-
| | 2L21s
| | [[2L 21s]]
| | 11\23 &lt; g &lt; 1\2
| | 11\23 &lt; g &lt; 1\2
| | g = ''12\25, 13\27'', 14\29
| | g = ''12\25, 13\27'', 14\29
| | 21g-10+1-2g = 19g-9
| | 21g-10+1-2g = 19g-9
|-
|-
| | 3L20s
| | [[3L 20s]]
| | 15\23 &lt; g &lt; 2\3
| | 15\23 &lt; g &lt; 2\3
| | g = ''17\26'', 19\29, 21\32
| | g = ''17\26'', 19\29, 21\32
| | 20g-13+1-3g = 17g-12
| | 20g-13+1-3g = 17g-12
|-
|-
| | 4L19s
| | [[4L 19s]]
| | 17\23 &lt; g &lt; 3\4
| | 17\23 &lt; g &lt; 3\4
| | g = ''20\27'', 23\31, 26\35
| | g = ''20\27'', 23\31, 26\35
| | 19g-14+3-4g = 15g-11
| | 19g-14+3-4g = 15g-11
|-
|-
| | 5L18s
| | [[5L 18s]]
| | 9\23 &lt; g &lt; 2\5
| | 9\23 &lt; g &lt; 2\5
| | g = ''11\28'', 13\33, 15\38
| | g = ''11\28'', 13\33, 15\38
| | 18g-7+2-5g = 13g-5
| | 18g-7+2-5g = 13g-5
|-
|-
| | 6L17s
| | [[6L 17s]]
| | 19\23 &lt; g &lt; 5\6
| | 19\23 &lt; g &lt; 5\6
| | g = 24\29, 29\35, 34\41
| | g = 24\29, 29\35, 34\41
| | 17g-15+1-6g = 11g-14
| | 17g-15+1-6g = 11g-14
|-
|-
| | 7L16s
| | [[7L 16s]]
| | 13\23 &lt; g &lt; 4\7
| | 13\23 &lt; g &lt; 4\7
| | g = 17\30,<span style="line-height: 15.6000003814697px;"> 21\37,</span> 25\44
| | g = 17\30, 21\37, 25\44
| | 16g-9+4-7g = 9g-5
| | 16g-9+4-7g = 9g-5
|-
|-
| | 8L15s
| | [[8L 15s]]
| | 20\23 &lt; g &lt; 7\8
| | 20\23 &lt; g &lt; 7\8
| | g = 27\31, 34\39, 41\47
| | g = 27\31, 34\39, 41\47
| | 15g-13+7-8g = 7g-6
| | 15g-13+7-8g = 7g-6
|-
|-
| | 9L14s
| | [[9L 14s]]
| | 5\23 &lt; g &lt; 2\9
| | 5\23 &lt; g &lt; 2\9
| | g = 7\32, 9\41, 11\50
| | g = 7\32, 9\41, 11\50
| | 14g-7+<span style="line-height: 15.6000003814697px;">2-9g = 5g-5</span>
| | 14g-7+2-9g = 5g-5
|-
|-
| | 10L13s
| | [[10L 13s]]
| | 16\23 &lt; g &lt; 7\10
| | 16\23 &lt; g &lt; 7\10
| | g = 23\33, 30\43, 37\53
| | g = 23\33, 30\43, 37\53
| | 13g-9+7-10g = 3g-2
| | 13g-9+7-10g = 3g-2
|-
|-
| | 11L12s
| | [[11L 12s]]
| | 2\23 &lt; g &lt; 1\11
| | 2\23 &lt; g &lt; 1\11
| | g = 3\34, 4\45, 5\56
| | g = 3\34, 4\45, 5\56
| | 12g-1+1-11g = g
| | 12g-1+1-11g = g
|-
|-
| | 12L11s
| | [[12L 11s]]
| | 21\23 &lt; g &lt; 11\12
| | 21\23 &lt; g &lt; 11\12
| | g = 32\35, 43\47, 54\59
| | g = 32\35, 43\47, 54\59
| | <span style="line-height: 15.6000003814697px;">11g-10+11-12g = 1-g</span>
| | 11g-10+11-12g = 1-g
|-
|-
| | 13L10s
| | [[13L 10s]]
| | 7\23 &lt; g &lt; 4\13
| | 7\23 &lt; g &lt; 4\13
| | g = 11\36, 15\49, 19\62
| | g = 11\36, 15\49, 19\62
| | 10g-3+4-13g =1-3g
| | 10g-3+4-13g =1-3g
|-
|-
| | 14L9s
| | [[14L 9s]]
| | 18\23 &lt; g &lt; 11\14
| | 18\23 &lt; g &lt; 11\14
| | g = 29\37, 40\51, 51\65
| | g = 29\37, 40\51, 51\65
| | 9g-7+11-14g = 4-5g
| | 9g-7+11-14g = 4-5g
|-
|-
| | 15L8s
| | [[15L 8s]]
| | 3\23 &lt; g &lt; 2\15
| | 3\23 &lt; g &lt; 2\15
| | g = 5\38, 7\53, 9\68
| | g = 5\38, 7\53, 9\68
| | 8g-1+2-15g = 1-7g
| | 8g-1+2-15g = 1-7g
|-
|-
| | 16L7s
| | [[16L 7s]]
| | 10\23 &lt; g &lt; 7\16
| | 10\23 &lt; g &lt; 7\16
| | g = 17\39, 24\55, 31\71
| | g = 17\39, 24\55, 31\71
| | 7g-3+<span style="line-height: 15.6000003814697px;">7-16g = 4-9g</span>
| | 7g-3+7-16g = 4-9g
|-
|-
| | 17L6s
| | [[17L 6s]]
| | 4\23 &lt; g &lt; 3\17
| | 4\23 &lt; g &lt; 3\17
| | g = 7\40, 10\57, 13\74
| | g = 7\40, 10\57, 13\74
| | 6g-1+3-17g = 2-11g
| | 6g-1+3-17g = 2-11g
|-
|-
| | 18L5s
| | [[18L 5s]]
| | 14\23 &lt; g &lt; 11\18
| | 14\23 &lt; g &lt; 11\18
| | g = 25\41, 36\59, 47\77
| | g = 25\41, 36\59, 47\77
| | 5g-4+11-18g = 7-13g
| | 5g-4+11-18g = 7-13g
|-
|-
| | 19L4s
| | [[19L 4s]]
| | 6\23 &lt; g &lt; 5\19
| | 6\23 &lt; g &lt; 5\19
| | g = 11\42, 16\61, 21\80
| | g = 11\42, 16\61, 21\80
| | 4g-1+5-19g = 4-15g
| | 4g-1+5-19g = 4-15g
|-
|-
| | 20L3s
| | [[20L 3s]]
| | 8\23 &lt; g &lt; 7\20
| | 8\23 &lt; g &lt; 7\20
| | g = 15\43, 22\63, 29\83
| | g = 15\43, 22\63, 29\83
| | 3g-1+13-20g = 12-17g
| | 3g-1+13-20g = 12-17g
|-
|-
| | 21L2s
| | [[21L 2s]]
| | 12\23 &lt; g &lt; 11\21
| | 12\23 &lt; g &lt; 11\21
| | g = 23\44, 34\65, 45\86
| | g = 23\44, 34\65, 45\86
| | 2g-1+11-21g = 10-19g
| | 2g-1+11-21g = 10-19g
|-
|-
| | 22L1s
| | [[22L 1s]]
| | 1\23 &lt; g &lt; 1\22
| | 1\23 &lt; g &lt; 1\22
| | g = 2\45, 3\67, 4\89
| | g = 2\45, 3\67, 4\89
Line 1,468: Line 1,451:
|}
|}


=24=
= 24-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 1,477: Line 1,459:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L23s
| | [[1L 23s]]
| | 23\24 &lt; g &lt; 1
| | 23\24 &lt; g &lt; 1
| | ''g = 24\25, 25\26, 26\27''
| | ''g = 24\25, 25\26, 26\27''
| | 23g-22+1-g = 22g-21
| | 23g-22+1-g = 22g-21
|-
|-
| | 2L22s
| | [[2L 22s]]
| | 11\24 &lt; g &lt; 1\2
| | 11\24 &lt; g &lt; 1\2
| | g = ''12\26, 13\28, 14\30''
| | g = ''12\26, 13\28, 14\30''
| | 11g-5+1/2-g = 10g-9/2
| | 11g-5+1/2-g = 10g-9/2
|-
|-
| | 3L21s
| | [[3L 21s]]
| | 7\24 &lt; g &lt; 1\3
| | 7\24 &lt; g &lt; 1\3
| | g = ''8\27, 9\30'', 10\33
| | g = ''8\27, 9\30'', 10\33
| | 7g-2+1/3-g = 6g-5/3
| | 7g-2+1/3-g = 6g-5/3
|-
|-
| | 4L20s
| | [[4L 20s]]
| | 5\24 &lt; g &lt; 1\4
| | 5\24 &lt; g &lt; 1\4
| | g = ''6\28'', 7\32, 8\36
| | g = ''6\28'', 7\32, 8\36
| | 5g-1+1/4-g = 4g-3/4
| | 5g-1+1/4-g = 4g-3/4
|-
|-
| | 5L19s
| | [[5L 19s]]
| | 19\24 &lt; g &lt; 4\5
| | 19\24 &lt; g &lt; 4\5
| | g = ''23\29'', 27\34, 31\39
| | g = ''23\29'', 27\34, 31\39
| | 19g-15+4-5g  = 14g-11
| | 19g-15+4-5g  = 14g-11
|-
|-
| | 6L18s
| | [[6L 18s]]
| | 3\24 &lt; g &lt; 1\6
| | 3\24 &lt; g &lt; 1\6
| | g = ''4\30'', 5\36, 6\42
| | g = ''4\30'', 5\36, 6\42
| | 3g-1\3+1\6-g = 2g-1\6
| | 3g-1\3+1\6-g = 2g-1\6
|-
|-
| | 7L17s
| | [[7L 17s]]
| | 17\24 &lt; g &lt; 5\7
| | 17\24 &lt; g &lt; 5\7
| | g = 22\31, 27\38, 32\45
| | g = 22\31, 27\38, 32\45
| | 17g-12+5-7g = 10g-7
| | 17g-12+5-7g = 10g-7
|-
|-
| | 8L16s
| | [[8L 16s]]
| | 2\24 &lt; g &lt; 1\8
| | 2\24 &lt; g &lt; 1\8
| | g = 3\32, 4\40, 5\48
| | g = 3\32, 4\40, 5\48
| | 2g-1\8+1\8-g = g
| | 2g-1\8+1\8-g = g
|-
|-
| | 9L15s
| | [[9L 15s]]
| | 5\24 &lt; g &lt; 2\9
| | 5\24 &lt; g &lt; 2\9
| | g = 7\33, 9\42, 11\51
| | g = 7\33, 9\42, 11\51
| | 5g-1+2\3-3g = 2g-1\3
| | 5g-1+2\3-3g = 2g-1\3
|-
|-
| | 10L14s
| | [[10L 14s]]
| | 7\24 &lt; g &lt; 3\10
| | 7\24 &lt; g &lt; 3\10
| | g = 10\34, 13\44, 16\54
| | g = 10\34, 13\44, 16\54
| | 7g-2+3\2-5g = 2g-1\2
| | 7g-2+3\2-5g = 2g-1\2
|-
|-
| | 11L13s
| | [[11L 13s]]
| | 13\24 &lt; g &lt; 6\11
| | 13\24 &lt; g &lt; 6\11
| | g = 19\35, 25\46, 31\57
| | g = 19\35, 25\46, 31\57
| | 13g-7+6-11g = 2g-1
| | 13g-7+6-11g = 2g-1
|-
|-
| | 12L12s
| | [[12L 12s]]
| | 1\24 &lt; g &lt; 1\12
| | 1\24 &lt; g &lt; 1\12
| | g = 2\36, 3\48, 4\60
| | g = 2\36, 3\48, 4\60
| | g+1\12-g = 1\12
| | g+1\12-g = 1\12
|-
|-
| | 13L11s
| | [[13L 11s]]
| | 11\24 &lt; g &lt; 6\13
| | 11\24 &lt; g &lt; 6\13
| | g = 17\37, 23\50, 29\63
| | g = 17\37, 23\50, 29\63
| | 11g-5+6-13g = 1-2g
| | 11g-5+6-13g = 1-2g
|-
|-
| | 14L10s
| | [[14L 10s]]
| | 17\24 &lt; g &lt; 10\14
| | 17\24 &lt; g &lt; 10\14
| | g = 27\38, 37\52, 47\66
| | g = 27\38, 37\52, 47\66
| | 5g-7\2+5-7g = 3\2-2g
| | 5g-7\2+5-7g = 3\2-2g
|-
|-
| | 15L9s
| | [[15L 9s]]
| | 3\24 &lt; g &lt; 2\15
| | 3\24 &lt; g &lt; 2\15
| | g = 5\39, 7\54, 9\69
| | g = 5\39, 7\54, 9\69
| | 3g-1\3+2\3-5g = 1\3-2g
| | 3g-1\3+2\3-5g = 1\3-2g
|-
|-
| | 16L8s
| | [[16L 8s]]
| | 1\24 &lt; g &lt; 1\16
| | 1\24 &lt; g &lt; 1\16
| | g = 2\40, 3\56, 4\72
| | g = 2\40, 3\56, 4\72
| | g+1\8-2g = 1\8-g
| | g+1\8-2g = 1\8-g
|-
|-
| | 17L7s
| | [[17L 7s]]
| | 7\24 &lt; g &lt; 5\17
| | 7\24 &lt; g &lt; 5\17
| | g = 12\41, 17\58, 22\75
| | g = 12\41, 17\58, 22\75
| | 7g-2+5-17g = 3-10g
| | 7g-2+5-17g = 3-10g
|-
|-
| | 18L6s
| | [[18L 6s]]
| | 1\24 &lt; g &lt; 1\18
| | 1\24 &lt; g &lt; 1\18
| | g = 2\42, 3\60, 4\78
| | g = 2\42, 3\60, 4\78
| | g+1\6-3g = 1\6-2g
| | g+1\6-3g = 1\6-2g
|-
|-
| | 19L5s
| | [[19L 5s]]
| | 5\24 &lt; g &lt; 4\19
| | 5\24 &lt; g &lt; 4\19
| | g = 9\43, 13\62, 17\81
| | g = 9\43, 13\62, 17\81
| | 5g-5+4-19g = 1-18g
| | 5g-5+4-19g = 1-18g
|-
|-
| | 20L4s
| | [[20L 4s]]
| | 1\24 &lt; g &lt; 1\20
| | 1\24 &lt; g &lt; 1\20
| | g = 2\44, 3\64, 4\84
| | g = 2\44, 3\64, 4\84
| | g+1\4-5g = 1\4-4g
| | g+1\4-5g = 1\4-4g
|-
|-
| | 21L3s
| | [[21L 3s]]
| | 1\24 &lt; g &lt; 1\21
| | 1\24 &lt; g &lt; 1\21
| | g = 2\45, 3\66, 4\87
| | g = 2\45, 3\66, 4\87
| | g+1\3-7g = 1\3-6g
| | g+1\3-7g = 1\3-6g
|-
|-
| | 22L2s
| | [[22L 2s]]
| | 1\24 &lt; g &lt; 1\22
| | 1\24 &lt; g &lt; 1\22
| | g = 2\46, 3\68, 4\90
| | g = 2\46, 3\68, 4\90
| | g+1\2-11g = 1\2-10g
| | g+1\2-11g = 1\2-10g
|-
|-
| | 23L1s
| | [[23L 1s]]
| | 1\24 &lt; g &lt; 1\23
| | 1\24 &lt; g &lt; 1\23
| | g = 2\47, 3\70, 4\93
| | g = 2\47, 3\70, 4\93
Line 1,593: Line 1,575:
|}
|}


=25=
= 25-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 1,602: Line 1,583:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L24s
| | [[1L 24s]]
| | 24\25 &lt; g &lt; 1
| | 24\25 &lt; g &lt; 1
| | ''g = 25\26, 26\27, 27\28''
| | ''g = 25\26, 26\27, 27\28''
| | 24g-23+1-g = 23g-22
| | 24g-23+1-g = 23g-22
|-
|-
| | 2L23s
| | [[2L 23s]]
| | 12\25 &lt; g &lt; 1\2
| | 12\25 &lt; g &lt; 1\2
| | ''g = 13\27, 14\29, 15\31''
| | ''g = 13\27, 14\29, 15\31''
| | 23g-11+1-2g = 21g-10
| | 23g-11+1-2g = 21g-10
|-
|-
| | 3L22s
| | [[3L 22s]]
| | 8\25 &lt; g &lt; 1\3
| | 8\25 &lt; g &lt; 1\3
| | g = ''9\28'', ''10\31'', 11\34
| | g = ''9\28'', ''10\31'', 11\34
| | 22g-7+1-3g = 19g-6
| | 22g-7+1-3g = 19g-6
|-
|-
| | 4L21s
| | [[4L 21s]]
| | 6\25 &lt; g &lt; 1\4
| | 6\25 &lt; g &lt; 1\4
| | g = ''7\29'', 8\33, 9\37
| | g = ''7\29'', 8\33, 9\37
| | 21g-5+1-4g = 17g-4
| | 21g-5+1-4g = 17g-4
|-
|-
| | 5L20s
| | [[5L 20s]]
| | 4\25 &lt; g &lt; 1\5
| | 4\25 &lt; g &lt; 1\5
| | g = ''5\30'', 6\35, 7\40
| | g = ''5\30'', 6\35, 7\40
| | 4g-3\5+1\5-g = 3g-2\5
| | 4g-3\5+1\5-g = 3g-2\5
|-
|-
| | 6L19s
| | [[6L 19s]]
| | 4\25 &lt; g &lt; 1\6
| | 4\25 &lt; g &lt; 1\6
| | g = ''5\31'', 6\37, 7\43
| | g = ''5\31'', 6\37, 7\43
| | 19g-3+1-6g = 13g-2
| | 19g-3+1-6g = 13g-2
|-
|-
| | 7L18s
| | [[7L 18s]]
| | 7\25 &lt; g &lt; 2\7
| | 7\25 &lt; g &lt; 2\7
| | g = 9\32, 11\39, 13\46
| | g = 9\32, 11\39, 13\46
| | 18g-5+2-7g = 11g-3
| | 18g-5+2-7g = 11g-3
|-
|-
| | 8L17s
| | [[8L 17s]]
| | 3\25 &lt; g &lt; 1\8
| | 3\25 &lt; g &lt; 1\8
| | g = 4\33, 5\41, 6\47
| | g = 4\33, 5\41, 6\47
| | <span style="line-height: 15.6000003814697px;">17g-2+1-8g = 9g-1</span>
| | 17g-2+1-8g = 9g-1
|-
|-
| | 9L16s
| | [[9L 16s]]
| | 11\25 &lt; g &lt; 4\9
| | 11\25 &lt; g &lt; 4\9
| | g = 15\34, 19\43, 23\52
| | g = 15\34, 19\43, 23\52
| | 16g-7<span style="line-height: 15.6000003814697px;">+4-9g = 3-7g</span>
| | 16g-7+4-9g = 3-7g
|-
|-
| | 10L15s
| | [[10L 15s]]
| | 2\25 &lt; g &lt; 1\10
| | 2\25 &lt; g &lt; 1\10
| | g = 3\35, 4\45, 5\55
| | g = 3\35, 4\45, 5\55
| | 3g-1\5+1\5-2g = g
| | 3g-1\5+1\5-2g = g
|-
|-
| | 11L14s
| | [[11L 14s]]
| | 9\25 &lt; g &lt; 4\11
| | 9\25 &lt; g &lt; 4\11
| | g = 13\36, 17\47, 21\58
| | g = 13\36, 17\47, 21\58
| | 14g-5+4-11g = 3g-1
| | 14g-5+4-11g = 3g-1
|-
|-
| | 12L13s
| | [[12L 13s]]
| | 2\25 &lt; g &lt; 1\12
| | 2\25 &lt; g &lt; 1\12
| | g = 3\37, 4\49, 5\61
| | g = 3\37, 4\49, 5\61
| | 13g-1+1-12g = g
| | 13g-1+1-12g = g
|-
|-
| | 13L12s
| | [[13L 12s]]
| | 23\25 &lt; g &lt; 12\13
| | 23\25 &lt; g &lt; 12\13
| | g = 35\38, 47\51, 59\64
| | g = 35\38, 47\51, 59\64
| | 12g-11+12-13g = 1-g
| | 12g-11+12-13g = 1-g
|-
|-
| | 14L11s
| | [[14L 11s]]
| | 16\25 &lt; g &lt; 9\14
| | 16\25 &lt; g &lt; 9\14
| | g = 25\39, 34\53, 43\67
| | g = 25\39, 34\53, 43\67
| | 11g-7+9-14g = 2-3g
| | 11g-7+9-14g = 2-3g
|-
|-
| | 15L10s
| | [[15L 10s]]
| | 3\25 &lt; g &lt; 2\15
| | 3\25 &lt; g &lt; 2\15
| | g = 5\40, 7\55, 9\70
| | g = 5\40, 7\55, 9\70
| | 2g-1\5+2\5-3g = 1\5-g
| | 2g-1\5+2\5-3g = 1\5-g
|-
|-
| | 16L9s
| | [[16L 9s]]
| | 14\25 &lt; g &lt; 9\16
| | 14\25 &lt; g &lt; 9\16
| | g = 23\41, 32\57, 41\73
| | g = 23\41, 32\57, 41\73
| | 9g-5+9-16g = 4-7g
| | 9g-5+9-16g = 4-7g
|-
|-
| | 17L8s
| | [[17L 8s]]
| | 22\25 &lt; g &lt; 15\17
| | 22\25 &lt; g &lt; 15\17
| | g = 37\42, 52\59, 67\76
| | g = 37\42, 52\59, 67\76
| | 8g-7+15-17g = 8-9g
| | 8g-7+15-17g = 8-9g
|-
|-
| | 18L7s
| | [[18L 7s]]
| | 18\25 &lt; g &lt; 13\18
| | 18\25 &lt; g &lt; 13\18
| | g = 31\43, 44\61, 57\79
| | g = 31\43, 44\61, 57\79
| | 7g-5+13-18g = 8-11g
| | 7g-5+13-18g = 8-11g
|-
|-
| | 19L6s
| | [[19L 6s]]
| | 21\25 &lt; g &lt; 16\19
| | 21\25 &lt; g &lt; 16\19
| | g = 37\44, 53\63, 69\82
| | g = 37\44, 53\63, 69\82
| | 6g-5+16-19g = 11-13g
| | 6g-5+16-19g = 11-13g
|-
|-
| | 20L5s
| | [[20L 5s]]
| | 1\25 &lt; g &lt; 1\20
| | 1\25 &lt; g &lt; 1\20
| | g = 2\45, 3\65, 4\85
| | g = 2\45, 3\65, 4\85
| | g+1\5-4g = 1\5-3g
| | g+1\5-4g = 1\5-3g
|-
|-
| | 21L4s
| | [[21L 4s]]
| | 16\21 &lt; g &lt; 19\25
| | 16\21 &lt; g &lt; 19\25
| | g = 35\46, 51\67, 71\88
| | g = 35\46, 51\67, 71\88
| | 4g-3+16-21g = 13-17g
| | 4g-3+16-21g = 13-17g
|-
|-
| | 22L3s
| | [[22L 3s]]
| | 17\25 &lt; g &lt; 15\22
| | 17\25 &lt; g &lt; 15\22
| | g = 32\47, 47\69, 62\91
| | g = 32\47, 47\69, 62\91
| | 3g-2+15-22g = 13-19g
| | 3g-2+15-22g = 13-19g
|-
|-
| | 23L2s
| | [[23L 2s]]
| | 13\25 &lt; g &lt; 12\23
| | 13\25 &lt; g &lt; 12\23
| | g = 25\48, 37\71, 49\94
| | g = 25\48, 37\71, 49\94
| | 2g-1+11-23g = 10-21g
| | 2g-1+11-23g = 10-21g
|-
|-
| | 24L1s
| | [[24L 1s]]
| | 1\25 &lt; g &lt; 1\24
| | 1\25 &lt; g &lt; 1\24
| | g = 2\49, 3\73, 4\97
| | g = 2\49, 3\73, 4\97
Line 1,723: Line 1,704:
|}
|}


=26=
= 26-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 1,732: Line 1,712:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L25s
| | [[1L 25s]]
| | 25\26 &lt; g &lt; 1
| | 25\26 &lt; g &lt; 1
| | ''g = 26\27, 27\28, 28\29''
| | ''g = 26\27, 27\28, 28\29''
| | 25g-24+1-g = 24g-23
| | 25g-24+1-g = 24g-23
|-
|-
| | 2L24s
| | [[2L 24s]]
| | 12\26 &lt; g &lt; 1\2
| | 12\26 &lt; g &lt; 1\2
| | ''g = 13\28, 14\30, 15\32''
| | ''g = 13\28, 14\30, 15\32''
| | 12g-11\2+1\2-g = 11g-5
| | 12g-11\2+1\2-g = 11g-5
|-
|-
| | 3L23s
| | [[3L 23s]]
| | 17\26 &lt; g &lt; 2\3
| | 17\26 &lt; g &lt; 2\3
| | g = ''19\29'', ''21\32'', 23\35
| | g = ''19\29'', ''21\32'', 23\35
| | 23g-15+2-3g = 20g-13
| | 23g-15+2-3g = 20g-13
|-
|-
| | 4L22s
| | [[4L 22s]]
| | 6\26 &lt; g &lt; 1\4
| | 6\26 &lt; g &lt; 1\4
| | g = ''7\30'', 8\34, 9\38
| | g = ''7\30'', 8\34, 9\38
| | 11g-5\2+<span style="line-height: 15.6000003814697px;">1\2-2g = 9g-2</span>
| | 11g-5\2+1\2-2g = 9g-2
|-
|-
| | 5L21s
| | [[5L 21s]]
| | 5\26 &lt; g &lt; 1\5
| | 5\26 &lt; g &lt; 1\5
| | g = ''6\31'', 7\36, 8\41
| | g = ''6\31'', 7\36, 8\41
| | 21g-4+1-5g = 16g-3
| | 21g-4+1-5g = 16g-3
|-
|-
| | 6L20s
| | [[6L 20s]]
| | 4\26 &lt; g &lt; 1\6
| | 4\26 &lt; g &lt; 1\6
| | g = ''5\32'', 6\38, 7\44
| | g = ''5\32'', 6\38, 7\44
| | 10g-3\2+1\2-3g = 7g-1
| | 10g-3\2+1\2-3g = 7g-1
|-
|-
| | 7L19s
| | [[7L 19s]]
| | 11\26 &lt; g &lt; 3\7
| | 11\26 &lt; g &lt; 3\7
| | g = 14\33, 17\40, 20\47
| | g = 14\33, 17\40, 20\47
| | 19g-8+3-7g = 12g-5
| | 19g-8+3-7g = 12g-5
|-
|-
| | 8L18s
| | [[8L 18s]]
| | 3\26 &lt; g &lt; 1\8
| | 3\26 &lt; g &lt; 1\8
| | g = 4\34, 5\42, 6\50
| | g = 4\34, 5\42, 6\50
| | 9g-1+1\2-4g = 5g-1\2
| | 9g-1+1\2-4g = 5g-1\2
|-
|-
| | 9L17s
| | [[9L 17s]]
| | 23\26 &lt; g &lt; 8\9
| | 23\26 &lt; g &lt; 8\9
| | g = 31\35, 39\44, 47\53
| | g = 31\35, 39\44, 47\53
| | 17g-15+8-9g = 8g-7
| | 17g-15+8-9g = 8g-7
|-
|-
| | 10L16s
| | [[10L 16s]]
| | 5\26 &lt; g &lt; 2\10
| | 5\26 &lt; g &lt; 2\10
| | g = 7\36, 9\46, 11\56
| | g = 7\36, 9\46, 11\56
| | 8g-3\2+1-5g = 3g-1\2
| | 8g-3\2+1-5g = 3g-1\2
|-
|-
| | 11L15s
| | [[11L 15s]]
| | 7\26 &lt; g &lt; 3\11
| | 7\26 &lt; g &lt; 3\11
| | g = 10\37, 13\48, 16\59
| | g = 10\37, 13\48, 16\59
| | 15g-4+3-11g = 4g-1
| | 15g-4+3-11g = 4g-1
|-
|-
| | 12L14s
| | [[12L 14s]]
| | 2\26 &lt; g &lt; 1\12
| | 2\26 &lt; g &lt; 1\12
| | g = 3\38, 4\50, 5\62
| | g = 3\38, 4\50, 5\62
| | 7g-1\2+1\2-6g = g
| | 7g-1\2+1\2-6g = g
|-
|-
| | 13L13s
| | [[13L 13s]]
| | 1\26 &lt; g &lt; 1\13
| | 1\26 &lt; g &lt; 1\13
| | g = 2\39, 3\52, 4\65
| | g = 2\39, 3\52, 4\65
| | g+1\13-g = 1\13
| | g+1\13-g = 1\13
|-
|-
| | <span style="line-height: 15.6000003814697px;">14L12s</span>
| | [[14L 12s]]
| | 11\26 &lt; g &lt; 6\14
| | 11\26 &lt; g &lt; 6\14
| | g = 17\40, 23\54, 29\68
| | g = 17\40, 23\54, 29\68
| | 6g-5\2+3-7g = 1\2-g
| | 6g-5\2+3-7g = 1\2-g
|-
|-
| | <span style="line-height: 15.6000003814697px;">15L11s</span>
| | [[15L 11s]]
| | 19\26 &lt; g &lt; 11\15
| | 19\26 &lt; g &lt; 11\15
| | g = 30\41, 41\56, 52\71
| | g = 30\41, 41\56, 52\71
| | 11g-8+11-15g = 3-4g
| | 11g-8+11-15g = 3-4g
|-
|-
| | <span style="line-height: 15.6000003814697px;">16L10s</span>
| | [[16L 10s]]
| | 8\26 &lt; g &lt; 5\16
| | 8\26 &lt; g &lt; 5\16
| | g = 13\42, 18\58, 23\74
| | g = 13\42, 18\58, 23\74
| | 5g-3\2+5\2-8g = 1-3g
| | 5g-3\2+5\2-8g = 1-3g
|-
|-
| | <span style="line-height: 15.6000003814697px;">17L9s</span>
| | [[17L 9s]]
| | 3\26 &lt; g &lt; 2\17
| | 3\26 &lt; g &lt; 2\17
| | g = 5\43, 7\60, 9\77
| | g = 5\43, 7\60, 9\77
| | 9g-1+2-17g = 1-8g
| | 9g-1+2-17g = 1-8g
|-
|-
| | <span style="line-height: 15.6000003814697px;">18L</span>8s
| | [[18L 8s]]
| | 10\26 &lt; g &lt; 7\18
| | 10\26 &lt; g &lt; 7\18
| | g = 17\44, 24\62, 31\80
| | g = 17\44, 24\62, 31\80
| | 4g-7\2+7-9g = 7\2-5g
| | 4g-7\2+7-9g = 7\2-5g
|-
|-
| | <span style="line-height: 15.6000003814697px;">19L</span>7s
| | [[19L 7s]]
| | 15\26 &lt; g &lt; 11\19
| | 15\26 &lt; g &lt; 11\19
| | g = 26\45, 37\64, 48\83
| | g = 26\45, 37\64, 48\83
| | 7g-4+11-19g = 7-12g
| | 7g-4+11-19g = 7-12g
|-
|-
| | <span style="line-height: 15.6000003814697px;">20L</span>6s
| | [[20L 6s]]
| | 9\26 &lt; g &lt; 7\20
| | 9\26 &lt; g &lt; 7\20
| | g = 16\46, 23\66, 30\86
| | g = 16\46, 23\66, 30\86
| | 3g-1+7\2-10g = 5\2-7g
| | 3g-1+7\2-10g = 5\2-7g
|-
|-
| | <span style="line-height: 15.6000003814697px;">21L</span>5s
| | [[21L 5s]]
| | 21\26 &lt; g &lt; 17\21
| | 21\26 &lt; g &lt; 17\21
| | g = 38\47, 55\68, 72\89
| | g = 38\47, 55\68, 72\89
| | 5g-4+16-21g = 12-16g
| | 5g-4+16-21g = 12-16g
|-
|-
| | <span style="line-height: 15.6000003814697px;">22L</span>4s
| | [[22L 4s]]
| | 7\26 &lt; g &lt; 6\22
| | 7\26 &lt; g &lt; 6\22
| | g = 13\48, 19\70, 25\92
| | g = 13\48, 19\70, 25\92
| | 2g-1\2+3-11g = 5\2-9g
| | 2g-1\2+3-11g = 5\2-9g
|-
|-
| | <span style="line-height: 15.6000003814697px;">23L</span>3s
| | [[23L 3s]]
| | 9\26 &lt; g &lt; 8\23
| | 9\26 &lt; g &lt; 8\23
| | g = 17\49, 25\72, 33/95
| | g = 17\49, 25\72, 33/95
| | 3g-1+8-23g = 7-20g
| | 3g-1+8-23g = 7-20g
|-
|-
| | <span style="line-height: 15.6000003814697px;">24L</span>2s
| | [[24L 2s]]
| | 1\26 &lt; g &lt; 1\24
| | 1\26 &lt; g &lt; 1\24
| | g = 2\50, 3\74, 4\98
| | g = 2\50, 3\74, 4\98
| | g+1\2-12g = 1\2-11g
| | g+1\2-12g = 1\2-11g
|-
|-
| | 25L1s
| | [[25L 1s]]
| | 1\26 &lt; g &lt; 1\25
| | 1\26 &lt; g &lt; 1\25
| | g = 2\51, 3\76, 4\101
| | g = 2\51, 3\76, 4\101
Line 1,858: Line 1,838:
|}
|}


=27=
= 27-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 1,867: Line 1,846:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L26s
| | [[1L 26s]]
| | 26\27 &lt; g &lt; 1
| | 26\27 &lt; g &lt; 1
| | <span style="line-height: 15.6000003814697px;">''g = 27\28,''</span> ''28\29, 29\30''
| | ''g = 27\28,'' ''28\29, 29\30''
| | 26g-25+1-g = 25g-24
| | 26g-25+1-g = 25g-24
|-
|-
| | 2L25s
| | [[2L 25s]]
| | 13\27 &lt; g &lt; 1\2
| | 13\27 &lt; g &lt; 1\2
| | ''g = 14\29, 15\31, 16\33''
| | ''g = 14\29, 15\31, 16\33''
| | 25g-12+1-2g = 23g-11
| | 25g-12+1-2g = 23g-11
|-
|-
| | 3L24s
| | [[3L 24s]]
| | 8\27 &lt; g &lt; 1\3
| | 8\27 &lt; g &lt; 1\3
| | g = ''9\30'', ''10\33'', 11\36
| | g = ''9\30'', ''10\33'', 11\36
| | 8g-7\3+1-3g = 5g-2
| | 8g-7\3+1-3g = 5g-2
|-
|-
| | 4L23s
| | [[4L 23s]]
| | 20\27 &lt; g &lt; 3\4
| | 20\27 &lt; g &lt; 3\4
| | g = ''23\31'', 26\35, 29\39
| | g = ''23\31'', 26\35, 29\39
| | 23g-17+3-4g = 19g-14
| | 23g-17+3-4g = 19g-14
|-
|-
| | 5L22s
| | [[5L 22s]]
| | 16\27 &lt; g &lt; 3\5
| | 16\27 &lt; g &lt; 3\5
| | g = ''19\32'', 22\37, 25\42
| | g = ''19\32'', 22\37, 25\42
| | 22g-13+3-5g = 17g-10
| | 22g-13+3-5g = 17g-10
|-
|-
| | 6L21s
| | [[6L 21s]]
| | 4\27 &lt; g &lt; 1\6
| | 4\27 &lt; g &lt; 1\6
| | g = ''5\33'', 6\39, 7\45
| | g = ''5\33'', 6\39, 7\45
| | 7g-1+1\3-2g = 5g-2\3
| | 7g-1+1\3-2g = 5g-2\3
|-
|-
| | 7L20s
| | [[7L 20s]]
| | 23\27 &lt; g &lt; 6\7
| | 23\27 &lt; g &lt; 6\7
| | g = 29\34, 35\41, 41\48
| | g = 29\34, 35\41, 41\48
| | 20g-17+6-7g = 13g-11
| | 20g-17+6-7g = 13g-11
|-
|-
| | 8L19s
| | [[8L 19s]]
| | 10\27 &lt; g &lt; 3\8
| | 10\27 &lt; g &lt; 3\8
| | g = 13\35, 16\43, 19\51
| | g = 13\35, 16\43, 19\51
| | 19g-7+3-8g = 11g-4
| | 19g-7+3-8g = 11g-4
|-
|-
| | 9L18s
| | [[9L 18s]]
| | 2\27 &lt; g &lt; 1\9
| | 2\27 &lt; g &lt; 1\9
| | g = 3\36, 4\45, 5\54
| | g = 3\36, 4\45, 5\54
| | 2g-1\9+1\9-g = g
| | 2g-1\9+1\9-g = g
|-
|-
| | 10L17s
| | [[10L 17s]]
| | 8\27 &lt; g &lt; 3\10
| | 8\27 &lt; g &lt; 3\10
| | g = 11\37, 14\47, 17\57
| | g = 11\37, 14\47, 17\57
| | 17g-5+3-10g = 7g-2
| | 17g-5+3-10g = 7g-2
|-
|-
| | 11L16s
| | [[11L 16s]]
| | 22\27 &lt; g &lt; 9\11
| | 22\27 &lt; g &lt; 9\11
| | g = 31\38, 40\49, 49\60
| | g = 31\38, 40\49, 49\60
| | 16g-13+9-11g = 5g-4
| | 16g-13+9-11g = 5g-4
|-
|-
| | 12L15s
| | [[12L 15s]]
| | 2\27 &lt; g &lt; 1\12
| | 2\27 &lt; g &lt; 1\12
| | g = 3\39, 4\51, 5\63
| | g = 3\39, 4\51, 5\63
| | 5g-1\3+1\3-4g = g
| | 5g-1\3+1\3-4g = g
|-
|-
| | 13L14s
| | [[13L 14s]]
| | 2\27 &lt; g &lt; 1\13
| | 2\27 &lt; g &lt; 1\13
| | g = 3\40, 4\53, 5\66
| | g = 3\40, 4\53, 5\66
| | 14g-1+1-13g = g
| | 14g-1+1-13g = g
|-
|-
| | 14L13s
| | [[14L 13s]]
| | 25\27 &lt; g &lt; 13\14
| | 25\27 &lt; g &lt; 13\14
| | g = 38\41, 51\55, 64\69
| | g = 38\41, 51\55, 64\69
| | 13g-12+13-14g = 1-g
| | 13g-12+13-14g = 1-g
|-
|-
| | 15L12s
| | [[15L 12s]]
| | 7\27 &lt; g &lt; 4\15
| | 7\27 &lt; g &lt; 4\15
| | g = 11\42, 15\57, 19\72
| | g = 11\42, 15\57, 19\72
| | 4g-1+4\3-5g = 1\3-g
| | 4g-1+4\3-5g = 1\3-g
|-
|-
| | 16L11s
| | [[16L 11s]]
| | 5\27 &lt; g &lt; 3\16
| | 5\27 &lt; g &lt; 3\16
| | g = 8\43, 11\59, 14\75
| | g = 8\43, 11\59, 14\75
| | 11g-2+3-16g = 1-5g
| | 11g-2+3-16g = 1-5g
|-
|-
| | 17L10s
| | [[17L 10s]]
| | 19\27 &lt; g &lt; 12\17
| | 19\27 &lt; g &lt; 12\17
| | g = 31\44, 43\61, 55\78
| | g = 31\44, 43\61, 55\78
| | 10g-7+12-17g = 5-7g
| | 10g-7+12-17g = 5-7g
|-
|-
| | 18L9s
| | [[18L 9s]]
| | 1\27 &lt; g &lt; 1\18
| | 1\27 &lt; g &lt; 1\18
| | g = 2\45, 3\63, 4\81
| | g = 2\45, 3\63, 4\81
| | g+1\9-2g = 1\9-g
| | g+1\9-2g = 1\9-g
|-
|-
| | 19L8s
| | [[19L 8s]]
| | 17\27 &lt; g &lt; 12\19
| | 17\27 &lt; g &lt; 12\19
| | g = 29\46, 41\65, 53\84
| | g = 29\46, 41\65, 53\84
| | 8g-5+12-19g = 7-11g
| | 8g-5+12-19g = 7-11g
|-
|-
| | 20L7s
| | [[20L 7s]]
| | 4\27 &lt; g &lt; 3\20
| | 4\27 &lt; g &lt; 3\20
| | g = 7\47, 10\67, 13\87
| | g = 7\47, 10\67, 13\87
| | 7g-1+3-20g = 2-13g
| | 7g-1+3-20g = 2-13g
|-
|-
| | 21L6s
| | [[21L 6s]]
| | 5\27 &lt; g &lt; 4\21
| | 5\27 &lt; g &lt; 4\21
| | g = 9\48, 13\69, 17\90
| | g = 9\48, 13\69, 17\90
| | 2g-1\3+4\3-7g = 1-5g
| | 2g-1\3+4\3-7g = 1-5g
|-
|-
| | 22L5s
| | [[22L 5s]]
| | <span style="line-height: 15.6000003814697px;">11</span>\27 &lt; g &lt; 9\22
| | 11\27 &lt; g &lt; 9\22
| | g = 20\49, 29\71, 38\93
| | g = 20\49, 29\71, 38\93
| | 5g-2+9-22g = 7-17g
| | 5g-2+9-22g = 7-17g
|-
|-
| | 23L4s
| | [[23L 4s]]
| | 7\27 &lt; g &lt; 6\23
| | 7\27 &lt; g &lt; 6\23
| | g = 13\50, 19\73, 25\96
| | g = 13\50, 19\73, 25\96
| | 4g-1+6-23g = 5-19g
| | 4g-1+6-23g = 5-19g
|-
|-
| | 24L3s
| | [[24L 3s]]
| | 1\27 &lt; g &lt; 1\24
| | 1\27 &lt; g &lt; 1\24
| | g = 2\51, 3\75, 4\99
| | g = 2\51, 3\75, 4\99
| | g+1\3-8g = 1\3-7g
| | g+1\3-8g = 1\3-7g
|-
|-
| | 25L2s
| | [[25L 2s]]
| | 14\27 &lt; g &lt; 13\25
| | 14\27 &lt; g &lt; 13\25
| | g = 27\52, 40\77, 53\102
| | g = 27\52, 40\77, 53\102
| | 2g-1+13-25g = 12-23g
| | 2g-1+13-25g = 12-23g
|-
|-
| | 26L1s
| | [[26L 1s]]
| | 1\27 &lt; g &lt; 1\26
| | 1\27 &lt; g &lt; 1\26
| | g = 2\53, 3\79, 4\105
| | g = 2\53, 3\79, 4\105
Line 1,998: Line 1,977:
|}
|}


=28=
= 28-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 2,007: Line 1,985:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L27s
| | [[1L 27s]]
| | 27\28 &lt; g &lt; 1
| | 27\28 &lt; g &lt; 1
| | ''g = 28\29, 29\30, 30\31''
| | ''g = 28\29, 29\30, 30\31''
| | 27g-26+1-g = 26g-25
| | 27g-26+1-g = 26g-25
|-
|-
| | 2L26s
| | [[2L 26s]]
| | 13\28 &lt; g &lt; 1\2
| | 13\28 &lt; g &lt; 1\2
| | ''g = 14\30, 15\32, 16\34''
| | ''g = 14\30, 15\32, 16\34''
| | 13g-6+1\2-g = 12g-11\2
| | 13g-6+1\2-g = 12g-11\2
|-
|-
| | 3L25s
| | [[3L 25s]]
| | 9\28 &lt; g &lt; 1\3
| | 9\28 &lt; g &lt; 1\3
| | g = ''10\31'',<span style="line-height: 15.6000003814697px;"> ''11\34'',</span> 12\37
| | g = ''10\31'', ''11\34'', 12\37
| | 25g-8+1-3g = 22g-7
| | 25g-8+1-3g = 22g-7
|-
|-
| | 4L24s
| | [[4L 24s]]
| | 6\28 &lt; g &lt; 1\4
| | 6\28 &lt; g &lt; 1\4
| | g = ''7\32'', 8\36, 9\40
| | g = ''7\32'', 8\36, 9\40
| | 6g-5\4+1\4-g = 5g-1
| | 6g-5\4+1\4-g = 5g-1
|-
|-
| | 5L23s
| | [[5L 23s]]
| | 11\28 &lt; g &lt; 2\5
| | 11\28 &lt; g &lt; 2\5
| | g = ''13\33'', 15\38, 17\43
| | g = ''13\33'', 15\38, 17\43
| | 23g-9+2-5g = 18g-7
| | 23g-9+2-5g = 18g-7
|-
|-
| | 6L22s
| | [[6L 22s]]
| | 9\28 &lt; g &lt; 2\6
| | 9\28 &lt; g &lt; 2\6
| | g = ''11\34'', 13\40, 15\46
| | g = ''11\34'', 13\40, 15\46
| | 11g-7\2+1-3g = 8g-3
| | 11g-7\2+1-3g = 8g-3
|-
|-
| | 7L21s
| | [[7L 21s]]
| | 3\28 &lt; g &lt; 1\7
| | 3\28 &lt; g &lt; 1\7
| | g = 4\35, 5\42, 6\49
| | g = 4\35, 5\42, 6\49
| | 3g-2\7+1\7-g = 2g-1\7
| | 3g-2\7+1\7-g = 2g-1\7
|-
|-
| | 8L20s
| | [[8L 20s]]
| | 3\28 &lt; g &lt; 1\8
| | 3\28 &lt; g &lt; 1\8
| | g = 4\36, 5\44, 6\52
| | g = 4\36, 5\44, 6\52
| | 5g-1\2+1\4-2g = 3g-1\4
| | 5g-1\2+1\4-2g = 3g-1\4
|-
|-
| | 9L19s
| | [[9L 19s]]
| | 3\28 &lt; g &lt; 1\9
| | 3\28 &lt; g &lt; 1\9
| | g = 4\37, 5\46, 6\55
| | g = 4\37, 5\46, 6\55
| | 19g-2+1-9g = 10g-1
| | 19g-2+1-9g = 10g-1
|-
|-
| | 10L18s
| | [[10L 18s]]
| | 11\28 &lt; g &lt; 4\10
| | 11\28 &lt; g &lt; 4\10
| | g = 15\38, 19\48, 23\58
| | g = 15\38, 19\48, 23\58
| | 9g-7\2+2-5g = 4g-3\2
| | 9g-7\2+2-5g = 4g-3\2
|-
|-
| | 11L17s
| | [[11L 17s]]
| | 5\28 &lt; g &lt; 2\11
| | 5\28 &lt; g &lt; 2\11
| | g = 7\39, 9\50, 11\61
| | g = 7\39, 9\50, 11\61
| | 17g-3+2-11g = 6g-1
| | 17g-3+2-11g = 6g-1
|-
|-
| | 12L16s
| | [[12L 16s]]
| | 2\28 &lt; g &lt; 1\12
| | 2\28 &lt; g &lt; 1\12
| | g = 3\40, 4\52, 5\64
| | g = 3\40, 4\52, 5\64
| | 4g-1\4+1\4-3g = g
| | 4g-1\4+1\4-3g = g
|-
|-
| | 13L15s
| | [[13L 15s]]
| | 15\28 &lt; g &lt; 7\13
| | 15\28 &lt; g &lt; 7\13
| | g = 22\41, 29\54, 36\67
| | g = 22\41, 29\54, 36\67
| | 15g-8+7-13g = 2g-1
| | 15g-8+7-13g = 2g-1
|-
|-
| | 14L14s
| | [[14L 14s]]
| | 1\28 &lt; g &lt; 1\14
| | 1\28 &lt; g &lt; 1\14
| | g = 2\42, 3\56, 4\70
| | g = 2\42, 3\56, 4\70
| | g+1\14-g = 1\14
| | g+1\14-g = 1\14
|-
|-
| | <span style="line-height: 15.6000003814697px;">15L13s</span>
| | [[15L 13s]]
| | 13\28 &lt; g &lt; 7\15
| | 13\28 &lt; g &lt; 7\15
| | g = 20\43, 27\58, 34\73
| | g = 20\43, 27\58, 34\73
| | 13g-6+7-15g = 1-2g
| | 13g-6+7-15g = 1-2g
|-
|-
| | <span style="line-height: 15.6000003814697px;">16L12s</span>
| | [[16L 12s]]
| | 5\28 &lt; g &lt; 3\16
| | 5\28 &lt; g &lt; 3\16
| | g = 8\44, 11\60, 14\76
| | g = 8\44, 11\60, 14\76
| | 3g-1\2+3\4-4g = 1\4-g
| | 3g-1\2+3\4-4g = 1\4-g
|-
|-
| | <span style="line-height: 15.6000003814697px;">17L11s</span>
| | [[17L 11s]]
| | 23\28 &lt; g &lt; 14\17
| | 23\28 &lt; g &lt; 14\17
| | g = 37\45, 51\62, 65\79
| | g = 37\45, 51\62, 65\79
| | 11g-9+13-17g = 4-6g
| | 11g-9+13-17g = 4-6g
|-
|-
| | <span style="line-height: 15.6000003814697px;">18L10s</span>
| | [[18L 10s]]
| | 3\28 &lt; g &lt; 2\18
| | 3\28 &lt; g &lt; 2\18
| | g = 5\46, 7\64, 9\82
| | g = 5\46, 7\64, 9\82
| | 5g-1\2+1-9g = 1\2-4g
| | 5g-1\2+1-9g = 1\2-4g
|-
|-
| | <span style="line-height: 15.6000003814697px;">19L9s</span>
| | [[19L 9s]]
| | 25\28 &lt; g &lt; 17\19
| | 25\28 &lt; g &lt; 17\19
| | g = 42\47, 59\66, 76\85
| | g = 42\47, 59\66, 76\85
| | 9g-8+17-19g = 9-10g
| | 9g-8+17-19g = 9-10g
|-
|-
| | <span style="line-height: 15.6000003814697px;">20L</span>8s
| | [[20L 8s]]
| | 4\28 &lt; g &lt; 3\20
| | 4\28 &lt; g &lt; 3\20
| | g = 7\48, 10\68, 13\88
| | g = 7\48, 10\68, 13\88
| | 2g-1\4+3\4-5g = 1\2-3g
| | 2g-1\4+3\4-5g = 1\2-3g
|-
|-
| | <span style="line-height: 15.6000003814697px;">21L7s</span>
| | [[21L 7s]]
| | 1\28 &lt; g &lt; 1\21
| | 1\28 &lt; g &lt; 1\21
| | g = 2\49, 3\70, 4\91
| | g = 2\49, 3\70, 4\91
| | g+<span style="line-height: 15.6000003814697px;">1\7-2g = 1\7-g</span>
| | g+1\7-2g = 1\7-g
|-
|-
| | <span style="line-height: 15.6000003814697px;">22L</span>6s
| | [[22L 6s]]
| | 5\28 &lt; g &lt; 4\22
| | 5\28 &lt; g &lt; 4\22
| | g = 9\50, 13\72, 17\94
| | g = 9\50, 13\72, 17\94
| | 3g-1\2+2-11g = 3\2-8g
| | 3g-1\2+2-11g = 3\2-8g
|-
|-
| | <span style="line-height: 15.6000003814697px;">23L</span>5s
| | [[23L 5s]]
| | 17\28 &lt; g &lt; 14\23
| | 17\28 &lt; g &lt; 14\23
| | g = 31\51, 45\74, 59\97
| | g = 31\51, 45\74, 59\97
| | 5g-3+14-23g = 11-18g
| | 5g-3+14-23g = 11-18g
|-
|-
| | <span style="line-height: 15.6000003814697px;">24L</span>4s
| | [[24L 4s]]
| | 1\28 &lt; g &lt; 1\24
| | 1\28 &lt; g &lt; 1\24
| | g = 2\52, 3\76, 4\100
| | g = 2\52, 3\76, 4\100
| | g+1\4-6g = 1\4-5g
| | g+1\4-6g = 1\4-5g
|-
|-
| | <span style="line-height: 15.6000003814697px;">25L</span>3s
| | [[25L 3s]]
| | 19\28 &lt; g &lt; 17\25
| | 19\28 &lt; g &lt; 17\25
| | g = 36\53, 53\78, 70\103
| | g = 36\53, 53\78, 70\103
| | 3g-2+17-25g = 15+22g
| | 3g-2+17-25g = 15+22g
|-
|-
| | <span style="line-height: 15.6000003814697px;">26L</span>2s
| | [[26L 2s]]
| | 15\28 &lt; g &lt; 14\26
| | 15\28 &lt; g &lt; 14\26
| | g = 29\54, 43\80, 57\106
| | g = 29\54, 43\80, 57\106
| | g-1\2+7-13g = 13\2-12g
| | g-1\2+7-13g = 13\2-12g
|-
|-
| | 27L1s
| | [[27L 1s]]
| | 1\28 &lt; g &lt; 1\27
| | 1\28 &lt; g &lt; 1\27
| | g = 2\55, 3\82, 4\109
| | g = 2\55, 3\82, 4\109
Line 2,143: Line 2,121:
|}
|}


=29=
= 29-tone =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
Line 2,152: Line 2,129:
! | Large step+Small step
! | Large step+Small step
|-
|-
| | 1L28s
| | [[1L 28s]]
| | 28\29 &lt; g &lt; 1
| | 28\29 &lt; g &lt; 1
| | ''g = 29\30, 30\31, 31\32''
| | ''g = 29\30, 30\31, 31\32''
| | 28g-27+1-g = 27g-26
| | 28g-27+1-g = 27g-26
|-
|-
| | 2L27s
| | [[2L 27s]]
| | 14\29 &lt; g &lt; 1\2
| | 14\29 &lt; g &lt; 1\2
| | ''g = 15\31, 16\33, 17\35''
| | ''g = 15\31, 16\33, 17\35''
| | 27g-13+1-2g = 25g-12
| | 27g-13+1-2g = 25g-12
|-
|-
| | 3L26s
| | [[3L 26s]]
| | 19\29 &lt; g &lt; 2\3
| | 19\29 &lt; g &lt; 2\3
| | g = ''21\32'', ''23\35'', 25\38
| | g = ''21\32'', ''23\35'', 25\38
| | 26g-17+2-3g = 23g-15
| | 26g-17+2-3g = 23g-15
|-
|-
| | 4L25s
| | [[4L 25s]]
| | 7\29 &lt; g &lt; 1\4
| | 7\29 &lt; g &lt; 1\4
| | g = ''8\33'', 9\37, 10\41
| | g = ''8\33'', 9\37, 10\41
| | 25g-6+1-4g = 21g-5
| | 25g-6+1-4g = 21g-5
|-
|-
| | 5L24s
| | [[5L 24s]]
| | 23\29 &lt; g &lt; 4\5
| | 23\29 &lt; g &lt; 4\5
| | g = ''27\34'', 31\39, 35\44
| | g = ''27\34'', 31\39, 35\44
| | 24g-19+4-5g = 19g-15
| | 24g-19+4-5g = 19g-15
|-
|-
| | 6L23s
| | [[6L 23s]]
| | 24\29 &lt; g &lt; 5\6
| | 24\29 &lt; g &lt; 5\6
| | g = ''29\35'', 34\41, 39\47
| | g = ''29\35'', 34\41, 39\47
| | 23g-19+5-6g = 17g-14
| | 23g-19+5-6g = 17g-14
|-
|-
| | 7L22s
| | [[7L 22s]]
| | 4\29 &lt; g &lt; 1\7
| | 4\29 &lt; g &lt; 1\7
| | g = ''5\36'', 6\43, 7\50
| | g = ''5\36'', 6\43, 7\50
| | 22g-3+1-7g = 15g-2
| | 22g-3+1-7g = 15g-2
|-
|-
| | 8L21s
| | [[8L 21s]]
| | 18\29 &lt; g &lt; 5\8
| | 18\29 &lt; g &lt; 5\8
| | g = 23\37, 28\45, 33\53
| | g = 23\37, 28\45, 33\53
| | <span style="line-height: 15.6000003814697px;">21g-13+5-8g = 13g-8</span>
| | 21g-13+5-8g = 13g-8
|-
|-
| | 9L20s
| | [[9L 20s]]
| | 16\29 &lt; g &lt; 5\9
| | 16\29 &lt; g &lt; 5\9
| | g = 21\38, 26\47, 31\56
| | g = 21\38, 26\47, 31\56
| | 20g-11+5-9g = 11g-6
| | 20g-11+5-9g = 11g-6
|-
|-
| | 10L19s
| | [[10L 19s]]
| | 26\29 &lt; g &lt; 9\10
| | 26\29 &lt; g &lt; 9\10
| | g = 35\39, 44\49, 53\59
| | g = 35\39, 44\49, 53\59
| | 19g-17+9-10g = 9g-8
| | 19g-17+9-10g = 9g-8
|-
|-
| | 11L18s
| | [[11L 18s]]
| | 21\29 &lt; g &lt; 8\11
| | 21\29 &lt; g &lt; 8\11
| | g = 29\40, 37\51, 45\62
| | g = 29\40, 37\51, 45\62
| | 18g-13+8-11g = 7g-2
| | 18g-13+8-11g = 7g-2
|-
|-
| | 12L17s
| | [[12L 17s]]
| | 12\29 &lt; g &lt; 5\12
| | 12\29 &lt; g &lt; 5\12
| | g = 17\41, 22\53, 27\65
| | g = 17\41, 22\53, 27\65
| | 17g-7+5-12g = 5g-2
| | 17g-7+5-12g = 5g-2
|-
|-
| | 13L16s
| | [[13L 16s]]
| | 20\29 &lt; g &lt; 9\13
| | 20\29 &lt; g &lt; 9\13
| | g = 29\42, 38\55, 47\68
| | g = 29\42, 38\55, 47\68
| | 16g+11+9-13g = 3g-2
| | 16g+11+9-13g = 3g-2
|-
|-
| | 14L15s
| | [[14L 15s]]
| | 2\29 &lt; g &lt; 1\14
| | 2\29 &lt; g &lt; 1\14
| | g = 3\43, 4\57, 5\71
| | g = 3\43, 4\57, 5\71
| | 15g-1+1-14g = g
| | 15g-1+1-14g = g
|-
|-
| | 15L14s
| | [[15L 14s]]
| | 27\29 &lt; g &lt; 14\15
| | 27\29 &lt; g &lt; 14\15
| | g = 41\44, 55\59, 69\74
| | g = 41\44, 55\59, 69\74
| | 14g-13+14-15g = 1-g
| | 14g-13+14-15g = 1-g
|-
|-
| | 16L13s
| | [[16L 13s]]
| | 9\29 &lt; g &lt; 5\16
| | 9\29 &lt; g &lt; 5\16
| | g = 14\45, 19\61, 24\77
| | g = 14\45, 19\61, 24\77
| | 13g-4+5-16g = 1-3g
| | 13g-4+5-16g = 1-3g
|-
|-
| | 17L12s
| | [[17L 12s]]
| | 17\29 &lt; g &lt; 10\17
| | 17\29 &lt; g &lt; 10\17
| | g = 27\46, 37\63, 47\80
| | g = 27\46, 37\63, 47\80
| | 12g-5+7-17g = 2-5g
| | 12g-5+7-17g = 2-5g
|-
|-
| | 18L11s
| | [[18L 11s]]
| | 8\29 &lt; g &lt; 5\18
| | 8\29 &lt; g &lt; 5\18
| | g = 13\47, 18\65, 23\83
| | g = 13\47, 18\65, 23\83
| | 11g-3+5-18g = 2-7g
| | 11g-3+5-18g = 2-7g
|-
|-
| | 19L10s
| | [[19L 10s]]
| | 3\29 &lt; g &lt; 2\19
| | 3\29 &lt; g &lt; 2\19
| | g = 5\48, 7\67, 9\86
| | g = 5\48, 7\67, 9\86
| | 10g-1+2-19g = 1-9g
| | 10g-1+2-19g = 1-9g
|-
|-
| | 20L9s
| | [[20L 9s]]
| | 13\29 &lt; g &lt; 9\20
| | 13\29 &lt; g &lt; 9\20
| | g = 22\49, 31\69, 40\89
| | g = 22\49, 31\69, 40\89
| | 9g-5+9-20g = 4-11g
| | 9g-5+9-20g = 4-11g
|-
|-
| | 21L8s
| | [[21L 8s]]
| | 11\29 &lt; g &lt; 8\21
| | 11\29 &lt; g &lt; 8\21
| | g = 19\50, 27\71, 35\92
| | g = 19\50, 27\71, 35\92
| | 8g-3+8-21g = 5-13g
| | 8g-3+8-21g = 5-13g
|-
|-
| | 22L7s
| | [[22L 7s]]
| | 25\29 &lt; g &lt; 19\22
| | 25\29 &lt; g &lt; 19\22
| | g = 44\51, 63\73, 82\95
| | g = 44\51, 63\73, 82\95
| | 7g-6+9-22g = 3-16g
| | 7g-6+9-22g = 3-16g
|-
|-
| | 23L6s
| | [[23L 6s]]
| | 5\29 &lt; g &lt; 4\23
| | 5\29 &lt; g &lt; 4\23
| | g = 9\52, 13\75, 17\98
| | g = 9\52, 13\75, 17\98
| | 6g-1+4-23g = 3-17g
| | 6g-1+4-23g = 3-17g
|-
|-
| | 24L5s
| | [[24L 5s]]
| | 6\29 &lt; g &lt; 5\24
| | 6\29 &lt; g &lt; 5\24
| | g = 11\53, 16\77, 21\101
| | g = 11\53, 16\77, 21\101
| | 5g-9+5-24g = 4-19g
| | 5g-9+5-24g = 4-19g
|-
|-
| | 25L4s
| | [[25L 4s]]
| | 22\29 &lt; g &lt; 19\25
| | 22\29 &lt; g &lt; 19\25
| | g = 41\54, 60\79, 79\104
| | g = 41\54, 60\79, 79\104
| | 4g-3+19-25g = 16-21g
| | 4g-3+19-25g = 16-21g
|-
|-
| | 26L3s
| | [[26L 3s]]
| | 10\29 &lt; g &lt; 9\26
| | 10\29 &lt; g &lt; 9\26
| | g = 19\55, 28\81, 37\107
| | g = 19\55, 28\81, 37\107
| | 3g-1+9-26g = 8-23g
| | 3g-1+9-26g = 8-23g
|-
|-
| | 27L2s
| | [[27L 2s]]
| | 15\29 &lt; g &lt; 14\27
| | 15\29 &lt; g &lt; 14\27
| | g = 29\56, 43\83, 57\110
| | g = 29\56, 43\83, 57\110
| | 2g-1+17-27g = 16-25g
| | 2g-1+17-27g = 16-25g
|-
|-
| | 28L1s
| | [[28L 1s]]
| | 1\29 &lt; g &lt; 1\28
| | 1\29 &lt; g &lt; 1\28
| | g = 2\57,<span style="line-height: 15.6000003814697px;"> 3\85,</span> 4\113
| | g = 2\57, 3\85, 4\113
| | g+1-28g = 1-27g
| | g+1-28g = 1-27g
|}
|}
[[Category:MOS scales]]
Retrieved from "https://en.xen.wiki/w/Generator_ranges_of_MOS"