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31edo/Individual degrees: Difference between revisions

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{{breadcrumb}}
This article explains individual degrees of [[31edo]] in depth.  
This article explains individual degrees of [[31edo]] in depth.  


Line 10: Line 11:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | 15-tone ([[Maximal evenness|ME]] or quasi-equal)
| 15-tone ([[Maximal evenness|ME]] or quasi-equal)
| | [[1L 14s]]
| [[1L 14s]]
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | 16-tone
| 16-tone
| | [[15L 1s]]
| [[15L 1s]]
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
|}
|}


Line 119: Line 120:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | nonatonic
| nonatonic
| | [[1L 8s]]
| [[1L 8s]]
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | decatonic (quasi-equal)
| decatonic (quasi-equal)
| | [[1L 9s]]
| [[1L 9s]]
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
|-
|-
| | 11-tone
| 11-tone
| | [[10L 1s]]
| [[10L 1s]]
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 1
| 1
|-
|-
| | 21-tone (Blackjack)
| 21-tone (Blackjack)
| | [[10L 11s]]
| [[10L 11s]]
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
|}
|}


Line 296: Line 297:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | heptatonic
| heptatonic
| | [[1L 6s]]
| [[1L 6s]]
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | octatonic (quasi-equal)
| octatonic (quasi-equal)
| | [[7L 1s]]
| [[7L 1s]]
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | 15-tone
| 15-tone
| | [[8L 7s]]
| [[8L 7s]]
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | 23-tone
| 23-tone
| | [[8L 15s]]
| [[8L 15s]]
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
|}
|}


Line 473: Line 474:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | hexatonic (quasi-equal)
| hexatonic (quasi-equal)
| | [[1L 5s]]
| [[1L 5s]]
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | heptatonic
| heptatonic
| | [[6L 1s]]
| [[6L 1s]]
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
|-
|-
| | 13-tone
| 13-tone
| | [[6L 7s]]
| [[6L 7s]]
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
|-
|-
| | 19-tone
| 19-tone
| | [[6L 13s]]
| [[6L 13s]]
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 25-tone
| 25-tone
| | [[6L 19s]]
| [[6L 19s]]
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|}
|}


Line 684: Line 685:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | pentatonic (quasi-equal)
| pentatonic (quasi-equal)
| | [[1L 4s]]
| [[1L 4s]]
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | hexatonic
| hexatonic
| | [[5L 1s]]
| [[5L 1s]]
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
|-
|-
| | 11-tone
| 11-tone
| | [[5L 6s]]
| [[5L 6s]]
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
|-
|-
| | 16-tone
| 16-tone
| | [[5L 11s]]
| [[5L 11s]]
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 21-tone
| 21-tone
| | [[5L 16s]]
| [[5L 16s]]
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 26-tone
| 26-tone
| | [[5L 21s]]
| [[5L 21s]]
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|}
|}


Line 929: Line 930:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | pentatonic
| pentatonic
| | [[4L 1s]]
| [[4L 1s]]
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | nonatonic (quasi-equal; Orwell[9])
| nonatonic (quasi-equal; Orwell[9])
| | [[4L 5s]]
| [[4L 5s]]
| | 4
| 4
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | 13-tone (Orwell[13])
| 13-tone (Orwell[13])
| | [[9L 4s]]
| [[9L 4s]]
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | 22-tone (Orwell[22])
| 22-tone (Orwell[22])
| | [[9L 13s]]
| [[9L 13s]]
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
|}
|}


Line 1,106: Line 1,107:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | tetratonic (quasi-equal)
| tetratonic (quasi-equal)
| | [[3L 1s]]
| [[3L 1s]]
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | heptatonic
| heptatonic
| | [[4L 3s]]
| [[4L 3s]]
| | 1
| 1
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | 11-tone
| 11-tone
| | [[4L 7s]]
| [[4L 7s]]
| | 1
| 1
| | 1
| 1
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | 15-tone
| 15-tone
| | [[4L 11s]]
| [[4L 11s]]
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
|-
|-
| | 19-tone
| 19-tone
| | [[4L 15s]]
| [[4L 15s]]
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
|-
|-
| | 23-tone
| 23-tone
| | [[4L 19s]]
| [[4L 19s]]
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
|-
|-
| | 27-tone
| 27-tone
| | [[4L 23s]]
| [[4L 23s]]
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
|}
|}


Line 1,385: Line 1,386:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | tetratonic
| tetratonic
| | [[3L 1s]]
| [[3L 1s]]
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
|-
|-
| | heptatonic (quasi-equal)
| heptatonic (quasi-equal)
| | [[3L 4s]]
| [[3L 4s]]
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
|-
|-
| | 10-tone
| 10-tone
| | [[7L 3s]]
| [[7L 3s]]
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
| | 4
| 4
| |
|
| |
|
| |
|
|-
|-
| | 17-tone
| 17-tone
| | [[7L 10s]]
| [[7L 10s]]
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 3
| 3
| |
|
| |
|
|-
|-
| | 24-tone
| 24-tone
| | [[7L 17s]]
| [[7L 17s]]
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
|}
|}


Line 1,596: Line 1,597:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | tritonic (quasi-equal)
| tritonic (quasi-equal)
| | [[1L 2s]]
| [[1L 2s]]
| | 10
| 10
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 10
| 10
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 11
| 11
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | tetratonic
| tetratonic
| | [[3L 1s]]
| [[3L 1s]]
| | 10
| 10
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 10
| 10
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 10
| 10
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
|-
|-
| | heptatonic
| heptatonic
| | [[3L 4s]]
| [[3L 4s]]
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
|-
|-
| | 10-tone
| 10-tone
| | [[3L 7s]]
| [[3L 7s]]
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 13-tone
| 13-tone
| | [[3L 10s]]
| [[3L 10s]]
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 16-tone
| 16-tone
| | [[3L 13s]]
| [[3L 13s]]
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 19-tone
| 19-tone
| | [[3L 16s]]
| [[3L 16s]]
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 22-tone
| 22-tone
| | [[3L 19s]]
| [[3L 19s]]
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 25-tone
| 25-tone
| | [[3L 22s]]
| [[3L 22s]]
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 28-tone
| 28-tone
| | [[3L 25s]]
| [[3L 25s]]
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|}
|}


Line 1,977: Line 1,978:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | tritonic
| tritonic
| | [[2L 1s]]
| [[2L 1s]]
| | 11
| 11
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 11
| 11
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | pentatonic
| pentatonic
| | [[3L 2s]]
| [[3L 2s]]
| | 2
| 2
| |
|
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 2
| 2
| |
|
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | octatonic
| octatonic
| | [[3L 5s]]
| [[3L 5s]]
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 2
| 2
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | 11-tone
| 11-tone
| | [[3L 8s]]
| [[3L 8s]]
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
|-
|-
| | 14-tone (quasi-equal)
| 14-tone (quasi-equal)
| | [[3L 11s]]
| [[3L 11s]]
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | 17-tone
| 17-tone
| | [[14L 3s]]
| [[14L 3s]]
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| | 1
| 1
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
|}
|}


Line 2,222: Line 2,223:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | tritonic
| tritonic
| | [[2L 1s]]
| [[2L 1s]]
| | 12
| 12
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 12
| 12
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | pentatonic
| pentatonic
| | [[3L 2s]]
| [[3L 2s]]
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
|-
|-
| | octatonic
| octatonic
| | [[5L 3s]]
| [[5L 3s]]
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 2
| 2
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 2
| 2
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 2
| 2
| |
|
|-
|-
| | 13-tone (quasi-equal)
| 13-tone (quasi-equal)
| | [[5L 8s]]
| [[5L 8s]]
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
|-
|-
| | 18-tone
| 18-tone
| | [[13L 5s]]
| [[13L 5s]]
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 2
| 2
| |
|
|}
|}


Line 2,433: Line 2,434:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | tritonic
| tritonic
| | [[2L 1s]]
| [[2L 1s]]
| | 13
| 13
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 13
| 13
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
|-
|-
| | pentatonic
| pentatonic
| | [[2L 3s]]
| [[2L 3s]]
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
|-
|-
| | heptatonic
| heptatonic
| | [[5L 2s]]
| [[5L 2s]]
| | 3
| 3
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
|-
|-
| | 12-tone (quasi-equal)
| 12-tone (quasi-equal)
| | [[7L 5s]]
| [[7L 5s]]
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
|-
|-
| | 19-tone
| 19-tone
| | [[12L 7s]]
| [[12L 7s]]
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
|}
|}


Line 2,644: Line 2,645:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | tritonic
| tritonic
| | [[2L 1s]]
| [[2L 1s]]
| | 14
| 14
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 14
| 14
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | pentatonic
| pentatonic
| | [[2L 3s]]
| [[2L 3s]]
| | 11
| 11
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 11
| 11
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | heptatonic
| heptatonic
| | [[2L 5s]]
| [[2L 5s]]
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | nonatonic
| nonatonic
| | [[2L 7s]]
| [[2L 7s]]
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | 11-tone (quasi-equal)
| 11-tone (quasi-equal)
| | [[9L 2s]]
| [[9L 2s]]
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 2
| 2
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
| | 3
| 3
| |
|
| |
|
|-
|-
| | 20-tone
| 20-tone
| | [[11L 9s]]
| [[11L 9s]]
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
|}
|}


Line 2,889: Line 2,890:
{| class="wikitable"
{| class="wikitable"
|-
|-
! | number of tones
! Number of tones
! | MOS class
! MOS class
! | 0
! 0
! | 1
! 1
! | 2
! 2
! | 3
! 3
! | 4
! 4
! | 5
! 5
! | 6
! 6
! | 7
! 7
! | 8
! 8
! | 9
! 9
! | 10
! 10
! | 11
! 11
! | 12
! 12
! | 13
! 13
! | 14
! 14
! | 15
! 15
! | 16
! 16
! | 17
! 17
! | 18
! 18
! | 19
! 19
! | 20
! 20
! | 21
! 21
! | 22
! 22
! | 23
! 23
! | 24
! 24
! | 25
! 25
! | 26
! 26
! | 27
! 27
! | 28
! 28
! | 29
! 29
! | 30
! 30
|-
|-
| | tritonic
| tritonic
| | [[2L 1s]]
| [[2L 1s]]
| | 15
| 15
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 15
| 15
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
|-
|-
| | pentatonic
| pentatonic
| | [[2L 3s]]
| [[2L 3s]]
| | 14
| 14
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 14
| 14
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
|-
|-
| | heptatonic
| heptatonic
| | [[2L 5s]]
| [[2L 5s]]
| | 13
| 13
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 13
| 13
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | nonatonic
| nonatonic
| | [[2L 7s]]
| [[2L 7s]]
| | 12
| 12
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 12
| 12
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 11-tone
| 11-tone
| | [[2L 9s]]
| [[2L 9s]]
| | 11
| 11
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 11
| 11
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 13-tone
| 13-tone
| | [[2L 11s]]
| [[2L 11s]]
| | 10
| 10
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 10
| 10
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 15-tone
| 15-tone
| | [[2L 13s]]
| [[2L 13s]]
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 9
| 9
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 17-tone
| 17-tone
| | [[2L 15s]]
| [[2L 15s]]
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 8
| 8
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 19-tone
| 19-tone
| | [[2L 17s]]
| [[2L 17s]]
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 7
| 7
| |
|
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 21-tone
| 21-tone
| | [[2L 19s]]
| [[2L 19s]]
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 6
| 6
| |
|
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 23-tone
| 23-tone
| | [[2L 21s]]
| [[2L 21s]]
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 5
| 5
| |
|
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 25-tone
| 25-tone
| | [[2L 23s]]
| [[2L 23s]]
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 4
| 4
| |
|
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 27-tone
| 27-tone
| | [[2L 25s]]
| [[2L 25s]]
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 3
| 3
| |
|
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|-
|-
| | 29-tone
| 29-tone
| | [[2L 27s]]
| [[2L 27s]]
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 2
| 2
| |
|
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
| | 1
| 1
|}
|}


[[Category:31edo]]
[[Category:31edo]]
[[Category:Lists of intervals]]
[[Category:Lists of intervals]]
Retrieved from "https://en.xen.wiki/w/31edo/Individual_degrees"