Xenharmonic Wiki

Chords of superpyth: Difference between revisions

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VisualWikitext
m Replace hyphens with en dashes in chords
+ generators, replacing complexity as the former covers the latter. Finish for triads and hexads
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! #
! #
! Generators
! Transversal
! Transversal
! Type
! Type
! Complexity
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| 1
| 1
| 0–1–2
| 1–9/8–3/2
| 1–9/8–3/2
| ambitonal
| ambitonal
| 2
|-
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| 2
| 2
| 0–1–3
| 1–3/2–12/7
| 1–3/2–12/7
| utonal
| utonal
| 3
|-
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| 3
| 3
| 0–2–3
| 1–8/7–12/7
| 1–8/7–12/7
| otonal
| otonal
| 3
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| 4
| 4
| 0–1–4
| 1–9/7–3/2
| 1–9/7–3/2
| utonal
| utonal
| 4
|-
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| 5
| 5
| 0–2–4
| 1–8/7–9/7
| 1–8/7–9/7
| ambitonal
| ambitonal
| 4
|-
|-
| 6
| 6
| 0–3–4
| 1–9/7–12/7
| 1–9/7–12/7
| otonal
| otonal
| 4
|-
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| 7
| 7
| 0–3–7
| 1–10/9–12/7
| 1–10/9–12/7
| sensamagic
| sensamagic
| 7
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| 8
| 8
| 0–4–7
| 1–10/9–9/7
| 1–10/9–9/7
| sensamagic
| sensamagic
| 7
|-
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| 9
| 9
| 0–1–8
| 1–3/2–5/3
| 1–3/2–5/3
| otonal
| otonal
| 8
|-
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| 10
| 10
| 0–4–8
| 1–9/7–5/3
| 1–9/7–5/3
| sensamagic
| sensamagic
| 8
|-
|-
| 11
| 11
| 0–7–8
| 1–10/9–5/3
| 1–10/9–5/3
| utonal
| utonal
| 8
|-
|-
| 12
| 12
| 0–1–9
| 1–5/4–3/2
| 1–5/4–3/2
| otonal
| otonal
| 9
|-
|-
| 13
| 13
| 0–2–9
| 1–9/8–5/4
| 1–9/8–5/4
| otonal
| otonal
| 9
|-
|-
| 14
| 14
| 0–7–9
| 1–10/9–5/4
| 1–10/9–5/4
| utonal
| utonal
| 9
|-
|-
| 15
| 15
| 0–8–9
| 1–5/4–5/3
| 1–5/4–5/3
| utonal
| utonal
| 9
|-
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| 16
| 16
| 0–2–11
| 1–8/7–10/7
| 1–8/7–10/7
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|  
|  
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| 17
| 17
| 0–3–11
| 1–12/7–10/7
| 1–12/7–10/7
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| 18
| 18
| 0–4–11
| 1–9/7–10/7
| 1–9/7–10/7
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| 19
| 19
| 0–7–11
| 1–10/9–10/7
| 1–10/9–10/7
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| 20
| 0–8–11
| 1–5/3–10/7
| 1–5/3–10/7
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| 21
| 0–9–11
| 1–5/4–10/7
| 1–5/4–10/7
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| 22
| 0–3–14
| 1–12/7–11/9
| 1–12/7–11/9
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| 23
| 0–7–14
| 1–10/9–11/9
| 1–10/9–11/9
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| 24
| 24
| 0–11–14
| 1–10/7–11/9
| 1–10/7–11/9
|
|  
|  
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| 25
| 25
| 0–1–15
| 1–3/2–11/6
| 1–3/2–11/6
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| 26
| 26
| 0–4–15
| 1–9/7–11/6
| 1–9/7–11/6
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| 27
| 27
| 0–7–15
| 1–10/9–11/6
| 1–10/9–11/6
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| 28
| 28
| 0–8–15
| 1–5/3–11/6
| 1–5/3–11/6
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| 29
| 29
| 0–11–15
| 1–10/7–11/6
| 1–10/7–11/6
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|  
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| 30
| 30
| 0–14–15
| 1–11/9–11/6
| 1–11/9–11/6
|
|  
|  
|-
|-
| 31
| 31
| 0–1–16
| 1–3/2–11/8
| 1–3/2–11/8
| otonal
| otonal
|
|-
|-
| 32
| 32
| 0–2–16
| 1–9/8–11/8
| 1–9/8–11/8
| otonal
| otonal
|
|-
|-
| 33
| 33
| 0–7–16
| 1–11/10–11/8
| 1–11/10–11/8
| utonal
| utonal
|
|-
|-
| 34
| 34
| 0–8–16
| 1–5/3–11/8
| 1–5/3–11/8
| ptolemismic
| ptolemismic
|
|-
|-
| 35
| 35
| 0–9–16
| 1–5/4–11/8
| 1–5/4–11/8
| otonal
| otonal
|
|-
|-
| 36
| 36
| 0–14–16
| 1–11/9–11/8
| 1–11/9–11/8
| utonal
| utonal
|
|-
|-
| 37
| 37
| 0–15–16
| 1–11/6–11/8
| 1–11/6–11/8
| utonal
| utonal
|
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|-
| 38
| 38
| 0–2–18
| 1–8/7–11/7
| 1–8/7–11/7
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|  
|  
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| 39
| 39
| 0–3–18
| 1–12/7–11/7
| 1–12/7–11/7
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|  
|  
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| 40
| 40
| 0–4–18
| 1–9/7–11/7
| 1–9/7–11/7
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| 41
| 41
| 0–7–18
| 1–10/9–11/7
| 1–10/9–11/7
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| 42
| 0–9–18
| 1–5/4–11/7
| 1–5/4–11/7
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| 43
| 43
| 0–11–18
| 1–10/7–11/7
| 1–10/7–11/7
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| 44
| 44
| 0–14–18
| 1–11/9–11/7
| 1–11/9–11/7
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| 45
| 45
| 0–15–18
| 1–11/6–11/7
| 1–11/6–11/7
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|  
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| 46
| 46
| 0–16–18
| 1–11/8–11/7
| 1–11/8–11/7
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|  
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|-
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! #
! #
! Generators
! Transversal
! Transversal
! Type
! Type
! Complexity
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| 1
| 1
|
| 1–3/2–8/7–12/7
| 1–3/2–8/7–12/7
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| 2
| 2
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| 1–3/2–8/7–9/7
| 1–3/2–8/7–9/7
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| 3
| 3
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| 1–3/2–12/7–9/7
| 1–3/2–12/7–9/7
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| 4
| 4
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| 1–8/7–12/7–9/7
| 1–8/7–12/7–9/7
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| 5
| 5
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| 1–12/7–9/7–10/9
| 1–12/7–9/7–10/9
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| 6
| 6
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| 1–3/2–9/7–5/3
| 1–3/2–9/7–5/3
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| 7
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| 1–9/7–10/9–5/3
| 1–9/7–10/9–5/3
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| 8
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| 1–3/2–8/7–5/4
| 1–3/2–8/7–5/4
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| 9
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| 1–3/2–5/3–5/4
| 1–3/2–5/3–5/4
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| 10
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| 1–10/9–5/3–5/4
| 1–10/9–5/3–5/4
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| 11
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| 1–8/7–12/7–10/7
| 1–8/7–12/7–10/7
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| 12
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| 1–8/7–9/7–10/7
| 1–8/7–9/7–10/7
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| 13
| 13
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| 1–12/7–9/7–10/7
| 1–12/7–9/7–10/7
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| 14
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| 1–12/7–10/9–10/7
| 1–12/7–10/9–10/7
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| 1–9/7–10/9–10/7
| 1–9/7–10/9–10/7
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| 1–9/7–5/3–10/7
| 1–9/7–5/3–10/7
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| 1–10/9–5/3–10/7
| 1–10/9–5/3–10/7
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| 1–8/7–5/4–10/7
| 1–8/7–5/4–10/7
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| 1–10/9–5/4–10/7
| 1–10/9–5/4–10/7
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| 1–5/3–5/4–10/7
| 1–5/3–5/4–10/7
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| 1–12/7–10/9–11/9
| 1–12/7–10/9–11/9
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| 1–12/7–10/7–11/9
| 1–12/7–10/7–11/9
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| 1–10/9–10/7–11/9
| 1–10/9–10/7–11/9
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| 24
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| 1–3/2–9/7–11/6
| 1–3/2–9/7–11/6
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| 25
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| 1–9/7–10/9–11/6
| 1–9/7–10/9–11/6
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| 1–3/2–5/3–11/6
| 1–3/2–5/3–11/6
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| 1–9/7–5/3–11/6
| 1–9/7–5/3–11/6
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| 1–10/9–5/3–11/6
| 1–10/9–5/3–11/6
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| 1–9/7–10/7–11/6
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| 1–10/9–10/7–11/6
| 1–10/9–10/7–11/6
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| 31
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| 1–5/3–10/7–11/6
| 1–5/3–10/7–11/6
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| 1–10/9–11/9–11/6
| 1–10/9–11/9–11/6
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| 1–10/7–11/9–11/6
| 1–10/7–11/9–11/6
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| 34
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| 1–3/2–8/7–11/8
| 1–3/2–8/7–11/8
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| 1–3/2–5/3–11/8
| 1–3/2–5/3–11/8
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| 1–10/9–5/3–11/8
| 1–10/9–5/3–11/8
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| 1–3/2–5/4–11/8
| 1–3/2–5/4–11/8
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| 38
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| 1–8/7–5/4–11/8
| 1–8/7–5/4–11/8
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| 39
| 39
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| 1–10/9–5/4–11/8
| 1–10/9–5/4–11/8
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| 40
| 40
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| 1–5/3–5/4–11/8
| 1–5/3–5/4–11/8
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| 1–10/9–11/9–11/8
| 1–10/9–11/9–11/8
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| 42
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| 1–3/2–11/6–11/8
| 1–3/2–11/6–11/8
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| 43
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| 1–10/9–11/6–11/8
| 1–10/9–11/6–11/8
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| 1–5/3–11/6–11/8
| 1–5/3–11/6–11/8
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| 45
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| 1–11/9–11/6–11/8
| 1–11/9–11/6–11/8
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| 46
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| 1–8/7–12/7–11/7
| 1–8/7–12/7–11/7
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| 47
| 47
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| 1–8/7–9/7–11/7
| 1–8/7–9/7–11/7
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| 48
| 48
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| 1–12/7–9/7–11/7
| 1–12/7–9/7–11/7
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| 49
| 49
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| 1–12/7–10/9–11/7
| 1–12/7–10/9–11/7
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| 50
| 50
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| 1–9/7–10/9–11/7
| 1–9/7–10/9–11/7
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| 51
| 51
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| 1–8/7–5/4–11/7
| 1–8/7–5/4–11/7
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| 52
| 52
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| 1–10/9–5/4–11/7
| 1–10/9–5/4–11/7
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| 53
| 53
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| 1–8/7–10/7–11/7
| 1–8/7–10/7–11/7
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| 54
| 54
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| 1–12/7–10/7–11/7
| 1–12/7–10/7–11/7
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| 55
| 55
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| 1–9/7–10/7–11/7
| 1–9/7–10/7–11/7
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| 56
| 56
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| 1–10/9–10/7–11/7
| 1–10/9–10/7–11/7
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| 57
| 57
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| 1–5/4–10/7–11/7
| 1–5/4–10/7–11/7
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| 58
| 58
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| 1–12/7–11/9–11/7
| 1–12/7–11/9–11/7
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| 59
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| 1–10/9–11/9–11/7
| 1–10/9–11/9–11/7
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| 60
| 60
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| 1–10/7–11/9–11/7
| 1–10/7–11/9–11/7
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| 61
| 61
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| 1–9/7–11/6–11/7
| 1–9/7–11/6–11/7
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| 62
| 62
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| 1–10/9–11/6–11/7
| 1–10/9–11/6–11/7
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| 63
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| 1–10/7–11/6–11/7
| 1–10/7–11/6–11/7
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| 64
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| 1–11/9–11/6–11/7
| 1–11/9–11/6–11/7
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| 1–8/7–11/8–11/7
| 1–8/7–11/8–11/7
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| 1–10/9–11/8–11/7
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| 1–5/4–11/8–11/7
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| 68
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| 1–11/9–11/8–11/7
| 1–11/9–11/8–11/7
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| 1–11/6–11/8–11/7
| 1–11/6–11/8–11/7
|
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Line 601: Line 601:
|-
|-
! #
! #
! Generators
! Transversal
! Transversal
! Type
! Type
! Complexity
|-
|-
| 1
| 1
|
| 1–3/2–8/7–12/7–9/7
| 1–3/2–8/7–12/7–9/7
|
|  
|  
|-
|-
| 2
| 2
|
| 1–8/7–12/7–9/7–10/7
| 1–8/7–12/7–9/7–10/7
|
|  
|  
|-
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| 3
| 3
|
| 1–12/7–9/7–10/9–10/7
| 1–12/7–9/7–10/9–10/7
|
|  
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|-
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| 4
| 4
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| 1–9/7–10/9–5/3–10/7
| 1–9/7–10/9–5/3–10/7
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|  
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|-
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| 5
| 5
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| 1–10/9–5/3–5/4–10/7
| 1–10/9–5/3–5/4–10/7
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| 6
| 6
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| 1–12/7–10/9–10/7–11/9
| 1–12/7–10/9–10/7–11/9
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| 7
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| 1–3/2–9/7–5/3–11/6
| 1–3/2–9/7–5/3–11/6
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|  
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| 8
| 8
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| 1–9/7–10/9–5/3–11/6
| 1–9/7–10/9–5/3–11/6
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| 9
| 9
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| 1–9/7–10/9–10/7–11/6
| 1–9/7–10/9–10/7–11/6
|
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|-
|-
| 10
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| 1–9/7–5/3–10/7–11/6
| 1–9/7–5/3–10/7–11/6
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| 11
| 11
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| 1–10/9–5/3–10/7–11/6
| 1–10/9–5/3–10/7–11/6
|
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|-
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| 12
| 12
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| 1–10/9–10/7–11/9–11/6
| 1–10/9–10/7–11/9–11/6
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|-
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| 13
| 13
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| 1–3/2–8/7–5/4–11/8
| 1–3/2–8/7–5/4–11/8
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| 14
| 14
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| 1–3/2–5/3–5/4–11/8
| 1–3/2–5/3–5/4–11/8
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|  
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| 15
| 15
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| 1–10/9–5/3–5/4–11/8
| 1–10/9–5/3–5/4–11/8
|
|  
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| 16
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| 1–3/2–5/3–11/6–11/8
| 1–3/2–5/3–11/6–11/8
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|  
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| 17
| 17
|
| 1–10/9–5/3–11/6–11/8
| 1–10/9–5/3–11/6–11/8
|
|  
|  
|-
|-
| 18
| 18
|
| 1–10/9–11/9–11/6–11/8
| 1–10/9–11/9–11/6–11/8
|
|  
|  
|-
|-
| 19
| 19
|
| 1–8/7–12/7–9/7–11/7
| 1–8/7–12/7–9/7–11/7
|
|  
|  
|-
|-
| 20
| 20
|
| 1–12/7–9/7–10/9–11/7
| 1–12/7–9/7–10/9–11/7
|
|  
|  
|-
|-
| 21
| 21
|
| 1–8/7–12/7–10/7–11/7
| 1–8/7–12/7–10/7–11/7
|
|  
|  
|-
|-
| 22
| 22
|
| 1–8/7–9/7–10/7–11/7
| 1–8/7–9/7–10/7–11/7
|
|  
|  
|-
|-
| 23
| 23
|
| 1–12/7–9/7–10/7–11/7
| 1–12/7–9/7–10/7–11/7
|
|  
|  
|-
|-
| 24
| 24
|
| 1–12/7–10/9–10/7–11/7
| 1–12/7–10/9–10/7–11/7
|
|  
|  
|-
|-
| 25
| 25
|
| 1–9/7–10/9–10/7–11/7
| 1–9/7–10/9–10/7–11/7
|
|  
|  
|-
|-
| 26
| 26
|
| 1–8/7–5/4–10/7–11/7
| 1–8/7–5/4–10/7–11/7
|
|  
|  
|-
|-
| 27
| 27
|
| 1–10/9–5/4–10/7–11/7
| 1–10/9–5/4–10/7–11/7
|
|  
|  
|-
|-
| 28
| 28
|
| 1–12/7–10/9–11/9–11/7
| 1–12/7–10/9–11/9–11/7
|
|  
|  
|-
|-
| 29
| 29
|
| 1–12/7–10/7–11/9–11/7
| 1–12/7–10/7–11/9–11/7
|
|  
|  
|-
|-
| 30
| 30
|
| 1–10/9–10/7–11/9–11/7
| 1–10/9–10/7–11/9–11/7
|
|  
|  
|-
|-
| 31
| 31
|
| 1–9/7–10/9–11/6–11/7
| 1–9/7–10/9–11/6–11/7
|
|  
|  
|-
|-
| 32
| 32
|
| 1–9/7–10/7–11/6–11/7
| 1–9/7–10/7–11/6–11/7
|
|  
|  
|-
|-
| 33
| 33
|
| 1–10/9–10/7–11/6–11/7
| 1–10/9–10/7–11/6–11/7
|
|  
|  
|-
|-
| 34
| 34
|
| 1–10/9–11/9–11/6–11/7
| 1–10/9–11/9–11/6–11/7
|
|  
|  
|-
|-
| 35
| 35
|
| 1–10/7–11/9–11/6–11/7
| 1–10/7–11/9–11/6–11/7
|
|  
|  
|-
|-
| 36
| 36
|
| 1–8/7–5/4–11/8–11/7
| 1–8/7–5/4–11/8–11/7
|
|  
|  
|-
|-
| 37
| 37
|
| 1–10/9–5/4–11/8–11/7
| 1–10/9–5/4–11/8–11/7
|
|  
|  
|-
|-
| 38
| 38
|
| 1–10/9–11/9–11/8–11/7
| 1–10/9–11/9–11/8–11/7
|
|  
|  
|-
|-
| 39
| 39
|
| 1–10/9–11/6–11/8–11/7
| 1–10/9–11/6–11/8–11/7
|
|  
|  
|-
|-
| 40
| 40
|
| 1–11/9–11/6–11/8–11/7
| 1–11/9–11/6–11/8–11/7
|
|  
|  
|}
|}
Line 810: Line 810:
|-
|-
! #
! #
! Generators
! Transversal
! Transversal
! Type
! Type
! Complexity
|-
|-
| 1
| 1
| 0–4–7–8–11–15
| 1–9/7–10/9–5/3–10/7–11/6
| 1–9/7–10/9–5/3–10/7–11/6
|  
|  
| 15
|-
|-
| 2
| 2
| 0–2–3–4–11–18
| 1–8/7–9/7–10/7–11/7–12/7
| 1–8/7–9/7–10/7–11/7–12/7
| otonal
| otonal
| 18
|-
|-
| 3
| 3
| 0–3–4–7–11–18
| 1–12/7–9/7–10/9–10/7–11/7
| 1–12/7–9/7–10/9–10/7–11/7
|  
|  
| 18
|-
|-
| 4
| 4
| 0–3–7–11–14–18
| 1–12/7–10/9–10/7–11/9–11/7
| 1–12/7–10/9–10/7–11/9–11/7
|  
|  
| 18
|-
|-
| 5
| 5
| 0–4–7–11–15–18
| 1–9/7–10/9–10/7–11/6–11/7
| 1–9/7–10/9–10/7–11/6–11/7
|  
|  
| 18
|-
|-
| 6
| 6
| 0–7–11–14–15–18
| 1–10/9–10/7–11/9–11/6–11/7
| 1–10/9–10/7–11/9–11/6–11/7
|  
|  
| 18
|-
|-
| 7
| 7
| 0–7–14–15–16–18
| 1–11/10–11/9–11/8–11/7–11/6
| 1–11/10–11/9–11/8–11/7–11/6
| utonal
| utonal
| 18
|}
|}


[[Category:Todo:expand]]
[[Category:Todo:expand]]
Retrieved from "https://en.xen.wiki/w/Chords_of_superpyth"