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Chords of octacot: Difference between revisions

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Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Tetracot_family#Octacot|octacot temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are swetismic, by 441/440 werckismic, by 243/242 rastmic, by 245/243 sensamagic, by 245/242 cassacot, and by 100/99 ptolemismic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove, and those requiring both 441/440 and 100/99 octagari. Finally, those requiring any three independent commas of those discussed above are essentially octacot and are labeled octacot.  
Below are listed the [[dyadic chord]]s of 11-limit [[octacot]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are swetismic, by 441/440 werckismic, by 243/242 rastmic, by 245/243 sensamagic, by 245/242 cassacot, and by 100/99 ptolemismic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove, and those requiring both 441/440 and 100/99 octagari. Finally, those requiring any three independent commas of those discussed above are essentially octacot and are labeled octacot.  


Octacot has MOS of size 13, 14, 27, 41 and 68. Even 13 notes is enough to supply plenty of harmony, including hexads. It should be noted that the [[88cET|88 cents temperament]] is identical to the generator chain of octacot in the 11\150 generator tuning. Hence, if the chains listed under chords are interpreted to belong to the correct octave, the tables below may also be viewed as tables of the chords of 88 cents temperament. The transversals become transversals of 88cET if we leave them unchanged up to 11/6, and raise 9/8, 5/4 and 11/8 to 9/4, 5/2 and 11/4.
Octacot has MOS of size 13, 14, 27, 41, and 68. Even 13 notes is enough to supply plenty of harmony, including hexads. It should be noted that 88-cent equal temperament ([[88cET]]) is identical to the generator chain of octacot in the 11\150 generator tuning. Hence, if the chains listed under chords are interpreted to belong to the correct octave, the tables below may also be viewed as tables of the chords of 88 cents temperament. The transversals become transversals of 88cET if we leave them unchanged up to 11/6, and raise 9/8, 5/4, and 11/8 to 9/4, 5/2, and 11/4.
 
=Triads=


= Triads =
{| class="wikitable"
{| class="wikitable"
|-
|-
| | Number
! Number
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
| | Hash
! Hash
|-
|-
| | 1
| 1
| | 0-2-4
| 0–2–4
| | 1-10/9-11/9
| 1–10/9–11/9
| | otonal
| otonal
|-
|-
| | 2
| 2
| | 0-2-5
| 0–2–5
| | 1-10/9-9/7
| 1–10/9–9/7
| | sensamagic
| sensamagic
|-
|-
| | 3
| 3
| | 0-3-5
| 0–3–5
| | 1-7/6-9/7
| 1–7/6–9/7
| | sensamagic
| sensamagic
|-
|-
| | 4
| 4
| | 0-2-7
| 0–2–7
| | 1-10/9-10/7
| 1–10/9–10/7
| | utonal
| utonal
|-
|-
| | 5
| 5
| | 0-3-7
| 0–3–7
| | 1-7/6-10/7
| 1–7/6–10/7
| | swetismic
| swetismic
|-
|-
| | 6
| 6
| | 0-4-7
| 0–4–7
| | 1-11/9-10/7
| 1–11/9–10/7
| | swetismic
| swetismic
|-
|-
| | 7
| 7
| | 0-5-7
| 0–5–7
| | 1-9/7-10/7
| 1–9/7–10/7
| | otonal
| otonal
|-
|-
| | 8
| 8
| | 0-3-8
| 0–3–8
| | 1-7/6-3/2
| 1–7/6–3/2
| | otonal
| otonal
|-
|-
| | 9
| 9
| | 0-4-8
| 0–4–8
| | 1-11/9-3/2
| 1–11/9–3/2
| | rastmic
| rastmic
|-
|-
| | 10
| 10
| | 0-5-8
| 0–5–8
| | 1-9/7-3/2
| 1–9/7–3/2
| | utonal
| utonal
|-
|-
| | 11
| 11
| | 0-2-9
| 0–2–9
| | 1-11/10-11/7
| 1–11/10–11/7
| | utonal
| utonal
|-
|-
| | 12
| 12
| | 0-4-9
| 0–4–9
| | 1-11/9-11/7
| 1–11/9–11/7
| | utonal
| utonal
|-
|-
| | 13
| 13
| | 0-5-9
| 0–5–9
| | 1-9/7-11/7
| 1–9/7–11/7
| | otonal
| otonal
|-
|-
| | 14
| 14
| | 0-7-9
| 0–7–9
| | 1-10/7-11/7
| 1–10/7–11/7
| | otonal
| otonal
|-
|-
| | 15
| 15
| | 0-2-10
| 0–2–10
| | 1-10/9-5/3
| 1–10/9–5/3
| | utonal
| utonal
|-
|-
| | 16
| 16
| | 0-3-10
| 0–3–10
| | 1-7/6-5/3
| 1–7/6–5/3
| | otonal
| otonal
|-
|-
| | 17
| 17
| | 0-5-10
| 0–5–10
| | 1-9/7-5/3
| 1–9/7–5/3
| | sensamagic
| sensamagic
|-
|-
| | 18
| 18
| | 0-7-10
| 0–7–10
| | 1-10/7-5/3
| 1–10/7–5/3
| | utonal
| utonal
|-
|-
| | 19
| 19
| | 0-8-10
| 0–8–10
| | 1-3/2-5/3
| 1–3/2–5/3
| | otonal
| otonal
|-
|-
| | 20
| 20
| | 0-2-11
| 0–2–11
| | 1-10/9-7/4
| 1–10/9–7/4
| | werkismic
| werkismic
|-
|-
| | 21
| 21
| | 0-3-11
| 0–3–11
| | 1-7/6-7/4
| 1–7/6–7/4
| | utonal
| utonal
|-
|-
| | 22
| 22
| | 0-4-11
| 0–4–11
| | 1-11/9-7/4
| 1–11/9–7/4
| | werkismic
| werkismic
|-
|-
| | 23
| 23
| | 0-7-11
| 0–7–11
| | 1-10/7-7/4
| 1–10/7–7/4
| | werkismic
| werkismic
|-
|-
| | 24
| 24
| | 0-8-11
| 0–8–11
| | 1-3/2-7/4
| 1–3/2–7/4
| | otonal
| otonal
|-
|-
| | 25
| 25
| | 0-9-11
| 0–9–11
| | 1-11/7-7/4
| 1–11/7–7/4
| | werkismic
| werkismic
|-
|-
| | 26
| 26
| | 0-2-12
| 0–2–12
| | 1-11/10-11/6
| 1–11/10–11/6
| | utonal
| utonal
|-
|-
| | 27
| 27
| | 0-3-12
| 0–3–12
| | 1-7/6-11/6
| 1–7/6–11/6
| | otonal
| otonal
|-
|-
| | 28
| 28
| | 0-4-12
| 0–4–12
| | 1-11/9-11/6
| 1–11/9–11/6
| | utonal
| utonal
|-
|-
| | 29
| 29
| | 0-5-12
| 0–5–12
| | 1-9/7-11/6
| 1–9/7–11/6
| | swetismic
| swetismic
|-
|-
| | 30
| 30
| | 0-7-12
| 0–7–12
| | 1-10/7-11/6
| 1–10/7–11/6
| | swetismic
| swetismic
|-
|-
| | 31
| 31
| | 0-8-12
| 0–8–12
| | 1-3/2-11/6
| 1–3/2–11/6
| | otonal
| otonal
|-
|-
| | 32
| 32
| | 0-9-12
| 0–9–12
| | 1-11/7-11/6
| 1–11/7–11/6
| | utonal
| utonal
|-
|-
| | 33
| 33
| | 0-10-12
| 0–10–12
| | 1-5/3-11/6
| 1–5/3–11/6
| | otonal
| otonal
|-
|-
| | 34
| 34
| | 0-4-16
| 0–4–16
| | 1-11/9-9/8
| 1–11/9–9/8
| | rastmic
| rastmic
|-
|-
| | 35
| 35
| | 0-5-16
| 0–5–16
| | 1-9/7-9/8
| 1–9/7–9/8
| | utonal
| utonal
|-
|-
| | 36
| 36
| | 0-7-16
| 0–7–16
| | 1-10/7-9/8
| 1–10/7–9/8
| | werkismic
| werkismic
|-
|-
| | 37
| 37
| | 0-8-16
| 0–8–16
| | 1-3/2-9/8
| 1–3/2–9/8
| | ambitonal
| ambitonal
|-
|-
| | 38
| 38
| | 0-9-16
| 0–9–16
| | 1-11/7-9/8
| 1–11/7–9/8
| | werkismic
| werkismic
|-
|-
| | 39
| 39
| | 0-11-16
| 0–11–16
| | 1-7/4-9/8
| 1–7/4–9/8
| | otonal
| otonal
|-
|-
| | 40
| 40
| | 0-12-16
| 0–12–16
| | 1-11/6-9/8
| 1–11/6–9/8
| | rastmic
| rastmic
|-
|-
| | 41
| 41
| | 0-2-18
| 0–2–18
| | 1-10/9-5/4
| 1–10/9–5/4
| | utonal
| utonal
|-
|-
| | 42
| 42
| | 0-7-18
| 0–7–18
| | 1-10/7-5/4
| 1–10/7–5/4
| | utonal
| utonal
|-
|-
| | 43
| 43
| | 0-8-18
| 0–8–18
| | 1-3/2-5/4
| 1–3/2–5/4
| | otonal
| otonal
|-
|-
| | 44
| 44
| | 0-9-18
| 0–9–18
| | 1-11/7-5/4
| 1–11/7–5/4
| | cassacot
| cassacot
|-
|-
| | 45
| 45
| | 0-10-18
| 0–10–18
| | 1-5/3-5/4
| 1–5/3–5/4
| | utonal
| utonal
|-
|-
| | 46
| 46
| | 0-11-18
| 0–11–18
| | 1-7/4-5/4
| 1–7/4–5/4
| | otonal
| otonal
|-
|-
| | 47
| 47
| | 0-16-18
| 0–16–18
| | 1-9/8-5/4
| 1–9/8–5/4
| | otonal
| otonal
|-
|-
| | 48
| 48
| | 0-2-20
| 0–2–20
| | 1-11/10-11/8
| 1–11/10–11/8
| | utonal
| utonal
|-
|-
| | 49
| 49
| | 0-4-20
| 0–4–20
| | 1-11/9-11/8
| 1–11/9–11/8
| | utonal
| utonal
|-
|-
| | 50
| 50
| | 0-8-20
| 0–8–20
| | 1-3/2-11/8
| 1–3/2–11/8
| | otonal
| otonal
|-
|-
| | 51
| 51
| | 0-9-20
| 0–9–20
| | 1-11/7-11/8
| 1–11/7–11/8
| | utonal
| utonal
|-
|-
| | 52
| 52
| | 0-10-20
| 0–10–20
| | 1-5/3-11/8
| 1–5/3–11/8
| | ptolemismic
| ptolemismic
|-
|-
| | 53
| 53
| | 0-11-20
| 0–11–20
| | 1-7/4-11/8
| 1–7/4–11/8
| | otonal
| otonal
|-
|-
| | 54
| 54
| | 0-12-20
| 0–12–20
| | 1-11/6-11/8
| 1–11/6–11/8
| | utonal
| utonal
|-
|-
| | 55
| 55
| | 0-16-20
| 0–16–20
| | 1-9/8-11/8
| 1–9/8–11/8
| | otonal
| otonal
|-
|-
| | 56
| 56
| | 0-18-20
| 0–18–20
| | 1-5/4-11/8
| 1–5/4–11/8
| | otonal
| otonal
|}
|}


=Tetrads=
= Tetrads =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | Number
! Number
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
| | Hash
! Hash
|-
|-
| | 1
| 1
| | 0-2-4-7
| 0–2–4–7
| | 1-10/9-11/9-10/7
| 1–10/9–11/9–10/7
| | octarod
| octarod
|-
|-
| | 2
| 2
| | 0-2-5-7
| 0–2–5–7
| | 1-10/9-9/7-10/7
| 1–10/9–9/7–10/7
| | sensamagic
| sensamagic
|-
|-
| | 3
| 3
| | 0-3-5-7
| 0–3–5–7
| | 1-7/6-9/7-10/7
| 1–7/6–9/7–10/7
| | octarod
| octarod
|-
|-
| | 4
| 4
| | 0-3-5-8
| 0–3–5–8
| | 1-7/6-9/7-3/2
| 1–7/6–9/7–3/2
| | sensamagic
| sensamagic
|-
|-
| | 5
| 5
| | 0-2-4-9
| 0–2–4–9
| | 1-11/10-11/9-11/7
| 1–11/10–11/9–11/7
| | utonal
| utonal
|-
|-
| | 6
| 6
| | 0-2-5-9
| 0–2–5–9
| | 1-10/9-9/7-11/7
| 1–10/9–9/7–11/7
| | octarod
| octarod
|-
|-
| | 7
| 7
| | 0-2-7-9
| 0–2–7–9
| | 1-10/9-10/7-11/7
| 1–10/9–10/7–11/7
| | ptolemismic
| ptolemismic
|-
|-
| | 8
| 8
| | 0-4-7-9
| 0–4–7–9
| | 1-11/9-10/7-11/7
| 1–11/9–10/7–11/7
| | octarod
| octarod
|-
|-
| | 9
| 9
| | 0-5-7-9
| 0–5–7–9
| | 1-9/7-10/7-11/7
| 1–9/7–10/7–11/7
| | otonal
| otonal
|-
|-
| | 10
| 10
| | 0-2-5-10
| 0–2–5–10
| | 1-10/9-9/7-5/3
| 1–10/9–9/7–5/3
| | sensamagic
| sensamagic
|-
|-
| | 11
| 11
| | 0-3-5-10
| 0–3–5–10
| | 1-7/6-9/7-5/3
| 1–7/6–9/7–5/3
| | sensamagic
| sensamagic
|-
|-
| | 12
| 12
| | 0-2-7-10
| 0–2–7–10
| | 1-10/9-10/7-5/3
| 1–10/9–10/7–5/3
| | utonal
| utonal
|-
|-
| | 13
| 13
| | 0-3-7-10
| 0–3–7–10
| | 1-7/6-10/7-5/3
| 1–7/6–10/7–5/3
| | swetismic
| swetismic
|-
|-
| | 14
| 14
| | 0-5-7-10
| 0–5–7–10
| | 1-9/7-10/7-5/3
| 1–9/7–10/7–5/3
| | sensamagic
| sensamagic
|-
|-
| | 15
| 15
| | 0-3-8-10
| 0–3–8–10
| | 1-7/6-3/2-5/3
| 1–7/6–3/2–5/3
| | otonal
| otonal
|-
|-
| | 16
| 16
| | 0-5-8-10
| 0–5–8–10
| | 1-9/7-3/2-5/3
| 1–9/7–3/2–5/3
| | sensamagic
| sensamagic
|-
|-
| | 17
| 17
| | 0-2-4-11
| 0–2–4–11
| | 1-10/9-11/9-7/4
| 1–10/9–11/9–7/4
| | octagari
| octagari
|-
|-
| | 18
| 18
| | 0-2-7-11
| 0–2–7–11
| | 1-10/9-10/7-7/4
| 1–10/9–10/7–7/4
| | werkismic
| werkismic
|-
|-
| | 19
| 19
| | 0-3-7-11
| 0–3–7–11
| | 1-7/6-10/7-7/4
| 1–7/6–10/7–7/4
| | jove
| jove
|-
|-
| | 20
| 20
| | 0-4-7-11
| 0–4–7–11
| | 1-11/9-10/7-7/4
| 1–11/9–10/7–7/4
| | jove
| jove
|-
|-
| | 21
| 21
| | 0-3-8-11
| 0–3–8–11
| | 1-7/6-3/2-7/4
| 1–7/6–3/2–7/4
| | ambitonal
| ambitonal
|-
|-
| | 22
| 22
| | 0-4-8-11
| 0–4–8–11
| | 1-11/9-3/2-7/4
| 1–11/9–3/2–7/4
| | jove
| jove
|-
|-
| | 23
| 23
| | 0-2-9-11
| 0–2–9–11
| | 1-10/9-11/7-7/4
| 1–10/9–11/7–7/4
| | octagari
| octagari
|-
|-
| | 24
| 24
| | 0-4-9-11
| 0–4–9–11
| | 1-11/9-11/7-7/4
| 1–11/9–11/7–7/4
| | werkismic
| werkismic
|-
|-
| | 25
| 25
| | 0-7-9-11
| 0–7–9–11
| | 1-10/7-11/7-7/4
| 1–10/7–11/7–7/4
| | octagari
| octagari
|-
|-
| | 26
| 26
| | 0-2-4-12
| 0–2–4–12
| | 1-11/10-11/9-11/6
| 1–11/10–11/9–11/6
| | utonal
| utonal
|-
|-
| | 27
| 27
| | 0-2-5-12
| 0–2–5–12
| | 1-10/9-9/7-11/6
| 1–10/9–9/7–11/6
| | octarod
| octarod
|-
|-
| | 28
| 28
| | 0-3-5-12
| 0–3–5–12
| | 1-7/6-9/7-11/6
| 1–7/6–9/7–11/6
| | octarod
| octarod
|-
|-
| | 29
| 29
| | 0-2-7-12
| 0–2–7–12
| | 1-10/9-10/7-11/6
| 1–10/9–10/7–11/6
| | octarod
| octarod
|-
|-
| | 30
| 30
| | 0-3-7-12
| 0–3–7–12
| | 1-7/6-10/7-11/6
| 1–7/6–10/7–11/6
| | swetismic
| swetismic
|-
|-
| | 31
| 31
| | 0-4-7-12
| 0–4–7–12
| | 1-11/9-10/7-11/6
| 1–11/9–10/7–11/6
| | swetismic
| swetismic
|-
|-
| | 32
| 32
| | 0-5-7-12
| 0–5–7–12
| | 1-9/7-10/7-11/6
| 1–9/7–10/7–11/6
| | swetismic
| swetismic
|-
|-
| | 33
| 33
| | 0-3-8-12
| 0–3–8–12
| | 1-7/6-3/2-11/6
| 1–7/6–3/2–11/6
| | otonal
| otonal
|-
|-
| | 34
| 34
| | 0-4-8-12
| 0–4–8–12
| | 1-11/9-3/2-11/6
| 1–11/9–3/2–11/6
| | rastmic
| rastmic
|-
|-
| | 35
| 35
| | 0-5-8-12
| 0–5–8–12
| | 1-9/7-3/2-11/6
| 1–9/7–3/2–11/6
| | swetismic
| swetismic
|-
|-
| | 36
| 36
| | 0-2-9-12
| 0–2–9–12
| | 1-11/10-11/7-11/6
| 1–11/10–11/7–11/6
| | utonal
| utonal
|-
|-
| | 37
| 37
| | 0-4-9-12
| 0–4–9–12
| | 1-11/9-11/7-11/6
| 1–11/9–11/7–11/6
| | utonal
| utonal
|-
|-
| | 38
| 38
| | 0-5-9-12
| 0–5–9–12
| | 1-9/7-11/7-11/6
| 1–9/7–11/7–11/6
| | swetismic
| swetismic
|-
|-
| | 39
| 39
| | 0-7-9-12
| 0–7–9–12
| | 1-10/7-11/7-11/6
| 1–10/7–11/7–11/6
| | octarod
| octarod
|-
|-
| | 40
| 40
| | 0-2-10-12
| 0–2–10–12
| | 1-10/9-5/3-11/6
| 1–10/9–5/3–11/6
| | ptolemismic
| ptolemismic
|-
|-
| | 41
| 41
| | 0-3-10-12
| 0–3–10–12
| | 1-7/6-5/3-11/6
| 1–7/6–5/3–11/6
| | otonal
| otonal
|-
|-
| | 42
| 42
| | 0-5-10-12
| 0–5–10–12
| | 1-9/7-5/3-11/6
| 1–9/7–5/3–11/6
| | octarod
| octarod
|-
|-
| | 43
| 43
| | 0-7-10-12
| 0–7–10–12
| | 1-10/7-5/3-11/6
| 1–10/7–5/3–11/6
| | octarod
| octarod
|-
|-
| | 44
| 44
| | 0-8-10-12
| 0–8–10–12
| | 1-3/2-5/3-11/6
| 1–3/2–5/3–11/6
| | otonal
| otonal
|-
|-
| | 45
| 45
| | 0-4-7-16
| 0–4–7–16
| | 1-11/9-10/7-9/8
| 1–11/9–10/7–9/8
| | jove
| jove
|-
|-
| | 46
| 46
| | 0-5-7-16
| 0–5–7–16
| | 1-9/7-10/7-9/8
| 1–9/7–10/7–9/8
| | werkismic
| werkismic
|-
|-
| | 47
| 47
| | 0-4-8-16
| 0–4–8–16
| | 1-11/9-3/2-9/8
| 1–11/9–3/2–9/8
| | rastmic
| rastmic
|-
|-
| | 48
| 48
| | 0-5-8-16
| 0–5–8–16
| | 1-9/7-3/2-9/8
| 1–9/7–3/2–9/8
| | utonal
| utonal
|-
|-
| | 49
| 49
| | 0-4-9-16
| 0–4–9–16
| | 1-11/9-11/7-9/8
| 1–11/9–11/7–9/8
| | jove
| jove
|-
|-
| | 50
| 50
| | 0-5-9-16
| 0–5–9–16
| | 1-9/7-11/7-9/8
| 1–9/7–11/7–9/8
| | werkismic
| werkismic
|-
|-
| | 51
| 51
| | 0-7-9-16
| 0–7–9–16
| | 1-10/7-11/7-9/8
| 1–10/7–11/7–9/8
| | octagari
| octagari
|-
|-
| | 52
| 52
| | 0-4-11-16
| 0–4–11–16
| | 1-11/9-7/4-9/8
| 1–11/9–7/4–9/8
| | jove
| jove
|-
|-
| | 53
| 53
| | 0-7-11-16
| 0–7–11–16
| | 1-10/7-7/4-9/8
| 1–10/7–7/4–9/8
| | werkismic
| werkismic
|-
|-
| | 54
| 54
| | 0-8-11-16
| 0–8–11–16
| | 1-3/2-7/4-9/8
| 1–3/2–7/4–9/8
| | otonal
| otonal
|-
|-
| | 55
| 55
| | 0-9-11-16
| 0–9–11–16
| | 1-11/7-7/4-9/8
| 1–11/7–7/4–9/8
| | werkismic
| werkismic
|-
|-
| | 56
| 56
| | 0-4-12-16
| 0–4–12–16
| | 1-11/9-11/6-9/8
| 1–11/9–11/6–9/8
| | rastmic
| rastmic
|-
|-
| | 57
| 57
| | 0-5-12-16
| 0–5–12–16
| | 1-9/7-11/6-9/8
| 1–9/7–11/6–9/8
| | jove
| jove
|-
|-
| | 58
| 58
| | 0-7-12-16
| 0–7–12–16
| | 1-10/7-11/6-9/8
| 1–10/7–11/6–9/8
| | jove
| jove
|-
|-
| | 59
| 59
| | 0-8-12-16
| 0–8–12–16
| | 1-3/2-11/6-9/8
| 1–3/2–11/6–9/8
| | rastmic
| rastmic
|-
|-
| | 60
| 60
| | 0-9-12-16
| 0–9–12–16
| | 1-11/7-11/6-9/8
| 1–11/7–11/6–9/8
| | jove
| jove
|-
|-
| | 61
| 61
| | 0-2-7-18
| 0–2–7–18
| | 1-10/9-10/7-5/4
| 1–10/9–10/7–5/4
| | utonal
| utonal
|-
|-
| | 62
| 62
| | 0-2-9-18
| 0–2–9–18
| | 1-10/9-11/7-5/4
| 1–10/9–11/7–5/4
| | octagari
| octagari
|-
|-
| | 63
| 63
| | 0-7-9-18
| 0–7–9–18
| | 1-10/7-11/7-5/4
| 1–10/7–11/7–5/4
| | octagari
| octagari
|-
|-
| | 64
| 64
| | 0-2-10-18
| 0–2–10–18
| | 1-10/9-5/3-5/4
| 1–10/9–5/3–5/4
| | utonal
| utonal
|-
|-
| | 65
| 65
| | 0-7-10-18
| 0–7–10–18
| | 1-10/7-5/3-5/4
| 1–10/7–5/3–5/4
| | utonal
| utonal
|-
|-
| | 66
| 66
| | 0-8-10-18
| 0–8–10–18
| | 1-3/2-5/3-5/4
| 1–3/2–5/3–5/4
| | ambitonal
| ambitonal
|-
|-
| | 67
| 67
| | 0-2-11-18
| 0–2–11–18
| | 1-10/9-7/4-5/4
| 1–10/9–7/4–5/4
| | werkismic
| werkismic
|-
|-
| | 68
| 68
| | 0-7-11-18
| 0–7–11–18
| | 1-10/7-7/4-5/4
| 1–10/7–7/4–5/4
| | werkismic
| werkismic
|-
|-
| | 69
| 69
| | 0-8-11-18
| 0–8–11–18
| | 1-3/2-7/4-5/4
| 1–3/2–7/4–5/4
| | otonal
| otonal
|-
|-
| | 70
| 70
| | 0-9-11-18
| 0–9–11–18
| | 1-11/7-7/4-5/4
| 1–11/7–7/4–5/4
| | octagari
| octagari
|-
|-
| | 71
| 71
| | 0-7-16-18
| 0–7–16–18
| | 1-10/7-9/8-5/4
| 1–10/7–9/8–5/4
| | werkismic
| werkismic
|-
|-
| | 72
| 72
| | 0-8-16-18
| 0–8–16–18
| | 1-3/2-9/8-5/4
| 1–3/2–9/8–5/4
| | otonal
| otonal
|-
|-
| | 73
| 73
| | 0-9-16-18
| 0–9–16–18
| | 1-11/7-9/8-5/4
| 1–11/7–9/8–5/4
| | octagari
| octagari
|-
|-
| | 74
| 74
| | 0-11-16-18
| 0–11–16–18
| | 1-7/4-9/8-5/4
| 1–7/4–9/8–5/4
| | otonal
| otonal
|-
|-
| | 75
| 75
| | 0-2-4-20
| 0–2–4–20
| | 1-11/10-11/9-11/8
| 1–11/10–11/9–11/8
| | utonal
| utonal
|-
|-
| | 76
| 76
| | 0-4-8-20
| 0–4–8–20
| | 1-11/9-3/2-11/8
| 1–11/9–3/2–11/8
| | rastmic
| rastmic
|-
|-
| | 77
| 77
| | 0-2-9-20
| 0–2–9–20
| | 1-11/10-11/7-11/8
| 1–11/10–11/7–11/8
| | utonal
| utonal
|-
|-
| | 78
| 78
| | 0-4-9-20
| 0–4–9–20
| | 1-11/9-11/7-11/8
| 1–11/9–11/7–11/8
| | utonal
| utonal
|-
|-
| | 79
| 79
| | 0-2-10-20
| 0–2–10–20
| | 1-10/9-5/3-11/8
| 1–10/9–5/3–11/8
| | ptolemismic
| ptolemismic
|-
|-
| | 80
| 80
| | 0-8-10-20
| 0–8–10–20
| | 1-3/2-5/3-11/8
| 1–3/2–5/3–11/8
| | ptolemismic
| ptolemismic
|-
|-
| | 81
| 81
| | 0-2-11-20
| 0–2–11–20
| | 1-10/9-7/4-11/8
| 1–10/9–7/4–11/8
| | octagari
| octagari
|-
|-
| | 82
| 82
| | 0-4-11-20
| 0–4–11–20
| | 1-11/9-7/4-11/8
| 1–11/9–7/4–11/8
| | werkismic
| werkismic
|-
|-
| | 83
| 83
| | 0-8-11-20
| 0–8–11–20
| | 1-3/2-7/4-11/8
| 1–3/2–7/4–11/8
| | otonal
| otonal
|-
|-
| | 84
| 84
| | 0-9-11-20
| 0–9–11–20
| | 1-11/7-7/4-11/8
| 1–11/7–7/4–11/8
| | werkismic
| werkismic
|-
|-
| | 85
| 85
| | 0-2-12-20
| 0–2–12–20
| | 1-11/10-11/6-11/8
| 1–11/10–11/6–11/8
| | utonal
| utonal
|-
|-
| | 86
| 86
| | 0-4-12-20
| 0–4–12–20
| | 1-11/9-11/6-11/8
| 1–11/9–11/6–11/8
| | utonal
| utonal
|-
|-
| | 87
| 87
| | 0-8-12-20
| 0–8–12–20
| | 1-3/2-11/6-11/8
| 1–3/2–11/6–11/8
| | ambitonal
| ambitonal
|-
|-
| | 88
| 88
| | 0-9-12-20
| 0–9–12–20
| | 1-11/7-11/6-11/8
| 1–11/7–11/6–11/8
| | utonal
| utonal
|-
|-
| | 89
| 89
| | 0-10-12-20
| 0–10–12–20
| | 1-5/3-11/6-11/8
| 1–5/3–11/6–11/8
| | ptolemismic
| ptolemismic
|-
|-
| | 90
| 90
| | 0-4-16-20
| 0–4–16–20
| | 1-11/9-9/8-11/8
| 1–11/9–9/8–11/8
| | rastmic
| rastmic
|-
|-
| | 91
| 91
| | 0-8-16-20
| 0–8–16–20
| | 1-3/2-9/8-11/8
| 1–3/2–9/8–11/8
| | otonal
| otonal
|-
|-
| | 92
| 92
| | 0-9-16-20
| 0–9–16–20
| | 1-11/7-9/8-11/8
| 1–11/7–9/8–11/8
| | werkismic
| werkismic
|-
|-
| | 93
| 93
| | 0-11-16-20
| 0–11–16–20
| | 1-7/4-9/8-11/8
| 1–7/4–9/8–11/8
| | otonal
| otonal
|-
|-
| | 94
| 94
| | 0-12-16-20
| 0–12–16–20
| | 1-11/6-9/8-11/8
| 1–11/6–9/8–11/8
| | rastmic
| rastmic
|-
|-
| | 95
| 95
| | 0-2-18-20
| 0–2–18–20
| | 1-10/9-5/4-11/8
| 1–10/9–5/4–11/8
| | ptolemismic
| ptolemismic
|-
|-
| | 96
| 96
| | 0-8-18-20
| 0–8–18–20
| | 1-3/2-5/4-11/8
| 1–3/2–5/4–11/8
| | otonal
| otonal
|-
|-
| | 97
| 97
| | 0-9-18-20
| 0–9–18–20
| | 1-11/7-5/4-11/8
| 1–11/7–5/4–11/8
| | octagari
| octagari
|-
|-
| | 98
| 98
| | 0-10-18-20
| 0–10–18–20
| | 1-5/3-5/4-11/8
| 1–5/3–5/4–11/8
| | ptolemismic
| ptolemismic
|-
|-
| | 99
| 99
| | 0-11-18-20
| 0–11–18–20
| | 1-7/4-5/4-11/8
| 1–7/4–5/4–11/8
| | otonal
| otonal
|-
|-
| | 100
| 100
| | 0-16-18-20
| 0–16–18–20
| | 1-9/8-5/4-11/8
| 1–9/8–5/4–11/8
| | otonal
| otonal
|}
|}


=Pentads=
= Pentads =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | Number
! Number
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
| | Hash
! Hash
|-
|-
| | 1
| 1
| | 0-2-4-7-9
| 0–2–4–7–9
| | 1-10/9-11/9-10/7-11/7
| 1–10/9–11/9–10/7–11/7
| | octarod
| octarod
|-
|-
| | 2
| 2
| | 0-2-5-7-9
| 0–2–5–7–9
| | 1-10/9-9/7-10/7-11/7
| 1–10/9–9/7–10/7–11/7
| | octarod
| octarod
|-
|-
| | 3
| 3
| | 0-2-5-7-10
| 0–2–5–7–10
| | 1-10/9-9/7-10/7-5/3
| 1–10/9–9/7–10/7–5/3
| | sensamagic
| sensamagic
|-
|-
| | 4
| 4
| | 0-3-5-7-10
| 0–3–5–7–10
| | 1-7/6-9/7-10/7-5/3
| 1–7/6–9/7–10/7–5/3
| | octarod
| octarod
|-
|-
| | 5
| 5
| | 0-3-5-8-10
| 0–3–5–8–10
| | 1-7/6-9/7-3/2-5/3
| 1–7/6–9/7–3/2–5/3
| | sensamagic
| sensamagic
|-
|-
| | 6
| 6
| | 0-2-4-7-11
| 0–2–4–7–11
| | 1-10/9-11/9-10/7-7/4
| 1–10/9–11/9–10/7–7/4
| | octacot
| octacot
|-
|-
| | 7
| 7
| | 0-2-4-9-11
| 0–2–4–9–11
| | 1-10/9-11/9-11/7-7/4
| 1–10/9–11/9–11/7–7/4
| | octagari
| octagari
|-
|-
| | 8
| 8
| | 0-2-7-9-11
| 0–2–7–9–11
| | 1-10/9-10/7-11/7-7/4
| 1–10/9–10/7–11/7–7/4
| | octagari
| octagari
|-
|-
| | 9
| 9
| | 0-4-7-9-11
| 0–4–7–9–11
| | 1-11/9-10/7-11/7-7/4
| 1–11/9–10/7–11/7–7/4
| | octacot
| octacot
|-
|-
| | 10
| 10
| | 0-2-4-7-12
| 0–2–4–7–12
| | 1-10/9-11/9-10/7-11/6
| 1–10/9–11/9–10/7–11/6
| | octarod
| octarod
|-
|-
| | 11
| 11
| | 0-2-5-7-12
| 0–2–5–7–12
| | 1-10/9-9/7-10/7-11/6
| 1–10/9–9/7–10/7–11/6
| | octarod
| octarod
|-
|-
| | 12
| 12
| | 0-3-5-7-12
| 0–3–5–7–12
| | 1-7/6-9/7-10/7-11/6
| 1–7/6–9/7–10/7–11/6
| | octarod
| octarod
|-
|-
| | 13
| 13
| | 0-3-5-8-12
| 0–3–5–8–12
| | 1-7/6-9/7-3/2-11/6
| 1–7/6–9/7–3/2–11/6
| | octarod
| octarod
|-
|-
| | 14
| 14
| | 0-2-4-9-12
| 0–2–4–9–12
| | 1-11/10-11/9-11/7-11/6
| 1–11/10–11/9–11/7–11/6
| | utonal
| utonal
|-
|-
| | 15
| 15
| | 0-2-5-9-12
| 0–2–5–9–12
| | 1-10/9-9/7-11/7-11/6
| 1–10/9–9/7–11/7–11/6
| | octarod
| octarod
|-
|-
| | 16
| 16
| | 0-2-7-9-12
| 0–2–7–9–12
| | 1-10/9-10/7-11/7-11/6
| 1–10/9–10/7–11/7–11/6
| | octarod
| octarod
|-
|-
| | 17
| 17
| | 0-4-7-9-12
| 0–4–7–9–12
| | 1-11/9-10/7-11/7-11/6
| 1–11/9–10/7–11/7–11/6
| | octarod
| octarod
|-
|-
| | 18
| 18
| | 0-5-7-9-12
| 0–5–7–9–12
| | 1-9/7-10/7-11/7-11/6
| 1–9/7–10/7–11/7–11/6
| | octarod
| octarod
|-
|-
| | 19
| 19
| | 0-2-5-10-12
| 0–2–5–10–12
| | 1-10/9-9/7-5/3-11/6
| 1–10/9–9/7–5/3–11/6
| | octarod
| octarod
|-
|-
| | 20
| 20
| | 0-3-5-10-12
| 0–3–5–10–12
| | 1-7/6-9/7-5/3-11/6
| 1–7/6–9/7–5/3–11/6
| | octarod
| octarod
|-
|-
| | 21
| 21
| | 0-2-7-10-12
| 0–2–7–10–12
| | 1-10/9-10/7-5/3-11/6
| 1–10/9–10/7–5/3–11/6
| | octarod
| octarod
|-
|-
| | 22
| 22
| | 0-3-7-10-12
| 0–3–7–10–12
| | 1-7/6-10/7-5/3-11/6
| 1–7/6–10/7–5/3–11/6
| | octarod
| octarod
|-
|-
| | 23
| 23
| | 0-5-7-10-12
| 0–5–7–10–12
| | 1-9/7-10/7-5/3-11/6
| 1–9/7–10/7–5/3–11/6
| | octarod
| octarod
|-
|-
| | 24
| 24
| | 0-3-8-10-12
| 0–3–8–10–12
| | 1-7/6-3/2-5/3-11/6
| 1–7/6–3/2–5/3–11/6
| | otonal
| otonal
|-
|-
| | 25
| 25
| | 0-5-8-10-12
| 0–5–8–10–12
| | 1-9/7-3/2-5/3-11/6
| 1–9/7–3/2–5/3–11/6
| | octarod
| octarod
|-
|-
| | 26
| 26
| | 0-4-7-9-16
| 0–4–7–9–16
| | 1-11/9-10/7-11/7-9/8
| 1–11/9–10/7–11/7–9/8
| | octacot
| octacot
|-
|-
| | 27
| 27
| | 0-5-7-9-16
| 0–5–7–9–16
| | 1-9/7-10/7-11/7-9/8
| 1–9/7–10/7–11/7–9/8
| | octagari
| octagari
|-
|-
| | 28
| 28
| | 0-4-7-11-16
| 0–4–7–11–16
| | 1-11/9-10/7-7/4-9/8
| 1–11/9–10/7–7/4–9/8
| | jove
| jove
|-
|-
| | 29
| 29
| | 0-4-8-11-16
| 0–4–8–11–16
| | 1-11/9-3/2-7/4-9/8
| 1–11/9–3/2–7/4–9/8
| | jove
| jove
|-
|-
| | 30
| 30
| | 0-4-9-11-16
| 0–4–9–11–16
| | 1-11/9-11/7-7/4-9/8
| 1–11/9–11/7–7/4–9/8
| | jove
| jove
|-
|-
| | 31
| 31
| | 0-7-9-11-16
| 0–7–9–11–16
| | 1-10/7-11/7-7/4-9/8
| 1–10/7–11/7–7/4–9/8
| | octagari
| octagari
|-
|-
| | 32
| 32
| | 0-4-7-12-16
| 0–4–7–12–16
| | 1-11/9-10/7-11/6-9/8
| 1–11/9–10/7–11/6–9/8
| | jove
| jove
|-
|-
| | 33
| 33
| | 0-5-7-12-16
| 0–5–7–12–16
| | 1-9/7-10/7-11/6-9/8
| 1–9/7–10/7–11/6–9/8
| | jove
| jove
|-
|-
| | 34
| 34
| | 0-4-8-12-16
| 0–4–8–12–16
| | 1-11/9-3/2-11/6-9/8
| 1–11/9–3/2–11/6–9/8
| | rastmic
| rastmic
|-
|-
| | 35
| 35
| | 0-5-8-12-16
| 0–5–8–12–16
| | 1-9/7-3/2-11/6-9/8
| 1–9/7–3/2–11/6–9/8
| | jove-
| jove–
|-
|-
| | 36
| 36
| | 0-4-9-12-16
| 0–4–9–12–16
| | 1-11/9-11/7-11/6-9/8
| 1–11/9–11/7–11/6–9/8
| | jove
| jove
|-
|-
| | 37
| 37
| | 0-5-9-12-16
| 0–5–9–12–16
| | 1-9/7-11/7-11/6-9/8
| 1–9/7–11/7–11/6–9/8
| | jove
| jove
|-
|-
| | 38
| 38
| | 0-7-9-12-16
| 0–7–9–12–16
| | 1-10/7-11/7-11/6-9/8
| 1–10/7–11/7–11/6–9/8
| | octacot
| octacot
|-
|-
| | 39
| 39
| | 0-2-7-9-18
| 0–2–7–9–18
| | 1-10/9-10/7-11/7-5/4
| 1–10/9–10/7–11/7–5/4
| | octagari
| octagari
|-
|-
| | 40
| 40
| | 0-2-7-10-18
| 0–2–7–10–18
| | 1-10/9-10/7-5/3-5/4
| 1–10/9–10/7–5/3–5/4
| | utonal
| utonal
|-
|-
| | 41
| 41
| | 0-2-7-11-18
| 0–2–7–11–18
| | 1-10/9-10/7-7/4-5/4
| 1–10/9–10/7–7/4–5/4
| | werkismic
| werkismic
|-
|-
| | 42
| 42
| | 0-2-9-11-18
| 0–2–9–11–18
| | 1-10/9-11/7-7/4-5/4
| 1–10/9–11/7–7/4–5/4
| | octagari
| octagari
|-
|-
| | 43
| 43
| | 0-7-9-11-18
| 0–7–9–11–18
| | 1-10/7-11/7-7/4-5/4
| 1–10/7–11/7–7/4–5/4
| | octagari
| octagari
|-
|-
| | 44
| 44
| | 0-7-9-16-18
| 0–7–9–16–18
| | 1-10/7-11/7-9/8-5/4
| 1–10/7–11/7–9/8–5/4
| | octagari
| octagari
|-
|-
| | 45
| 45
| | 0-7-11-16-18
| 0–7–11–16–18
| | 1-10/7-7/4-9/8-5/4
| 1–10/7–7/4–9/8–5/4
| | werkismic
| werkismic
|-
|-
| | 46
| 46
| | 0-8-11-16-18
| 0–8–11–16–18
| | 1-3/2-7/4-9/8-5/4
| 1–3/2–7/4–9/8–5/4
| | otonal
| otonal
|-
|-
| | 47
| 47
| | 0-9-11-16-18
| 0–9–11–16–18
| | 1-11/7-7/4-9/8-5/4
| 1–11/7–7/4–9/8–5/4
| | octagari
| octagari
|-
|-
| | 48
| 48
| | 0-2-4-9-20
| 0–2–4–9–20
| | 1-11/10-11/9-11/7-11/8
| 1–11/10–11/9–11/7–11/8
| | utonal
| utonal
|-
|-
| | 49
| 49
| | 0-2-4-11-20
| 0–2–4–11–20
| | 1-10/9-11/9-7/4-11/8
| 1–10/9–11/9–7/4–11/8
| | octagari
| octagari
|-
|-
| | 50
| 50
| | 0-4-8-11-20
| 0–4–8–11–20
| | 1-11/9-3/2-7/4-11/8
| 1–11/9–3/2–7/4–11/8
| | jove
| jove
|-
|-
| | 51
| 51
| | 0-2-9-11-20
| 0–2–9–11–20
| | 1-10/9-11/7-7/4-11/8
| 1–10/9–11/7–7/4–11/8
| | octagari
| octagari
|-
|-
| | 52
| 52
| | 0-4-9-11-20
| 0–4–9–11–20
| | 1-11/9-11/7-7/4-11/8
| 1–11/9–11/7–7/4–11/8
| | werkismic
| werkismic
|-
|-
| | 53
| 53
| | 0-2-4-12-20
| 0–2–4–12–20
| | 1-11/10-11/9-11/6-11/8
| 1–11/10–11/9–11/6–11/8
| | utonal
| utonal
|-
|-
| | 54
| 54
| | 0-4-8-12-20
| 0–4–8–12–20
| | 1-11/9-3/2-11/6-11/8
| 1–11/9–3/2–11/6–11/8
| | rastmic
| rastmic
|-
|-
| | 55
| 55
| | 0-2-9-12-20
| 0–2–9–12–20
| | 1-11/10-11/7-11/6-11/8
| 1–11/10–11/7–11/6–11/8
| | utonal
| utonal
|-
|-
| | 56
| 56
| | 0-4-9-12-20
| 0–4–9–12–20
| | 1-11/9-11/7-11/6-11/8
| 1–11/9–11/7–11/6–11/8
| | utonal
| utonal
|-
|-
| | 57
| 57
| | 0-2-10-12-20
| 0–2–10–12–20
| | 1-10/9-5/3-11/6-11/8
| 1–10/9–5/3–11/6–11/8
| | ptolemismic
| ptolemismic
|-
|-
| | 58
| 58
| | 0-8-10-12-20
| 0–8–10–12–20
| | 1-3/2-5/3-11/6-11/8
| 1–3/2–5/3–11/6–11/8
| | ptolemismic
| ptolemismic
|-
|-
| | 59
| 59
| | 0-4-8-16-20
| 0–4–8–16–20
| | 1-11/9-3/2-9/8-11/8
| 1–11/9–3/2–9/8–11/8
| | rastmic
| rastmic
|-
|-
| | 60
| 60
| | 0-4-9-16-20
| 0–4–9–16–20
| | 1-11/9-11/7-9/8-11/8
| 1–11/9–11/7–9/8–11/8
| | jove
| jove
|-
|-
| | 61
| 61
| | 0-4-11-16-20
| 0–4–11–16–20
| | 1-11/9-7/4-9/8-11/8
| 1–11/9–7/4–9/8–11/8
| | jove
| jove
|-
|-
| | 62
| 62
| | 0-8-11-16-20
| 0–8–11–16–20
| | 1-3/2-7/4-9/8-11/8
| 1–3/2–7/4–9/8–11/8
| | otonal
| otonal
|-
|-
| | 63
| 63
| | 0-9-11-16-20
| 0–9–11–16–20
| | 1-11/7-7/4-9/8-11/8
| 1–11/7–7/4–9/8–11/8
| | werkismic
| werkismic
|-
|-
| | 64
| 64
| | 0-4-12-16-20
| 0–4–12–16–20
| | 1-11/9-11/6-9/8-11/8
| 1–11/9–11/6–9/8–11/8
| | rastmic
| rastmic
|-
|-
| | 65
| 65
| | 0-8-12-16-20
| 0–8–12–16–20
| | 1-3/2-11/6-9/8-11/8
| 1–3/2–11/6–9/8–11/8
| | rastmic
| rastmic
|-
|-
| | 66
| 66
| | 0-9-12-16-20
| 0–9–12–16–20
| | 1-11/7-11/6-9/8-11/8
| 1–11/7–11/6–9/8–11/8
| | jove
| jove
|-
|-
| | 67
| 67
| | 0-2-9-18-20
| 0–2–9–18–20
| | 1-10/9-11/7-5/4-11/8
| 1–10/9–11/7–5/4–11/8
| | octagari
| octagari
|-
|-
| | 68
| 68
| | 0-2-10-18-20
| 0–2–10–18–20
| | 1-10/9-5/3-5/4-11/8
| 1–10/9–5/3–5/4–11/8
| | ptolemismic
| ptolemismic
|-
|-
| | 69
| 69
| | 0-8-10-18-20
| 0–8–10–18–20
| | 1-3/2-5/3-5/4-11/8
| 1–3/2–5/3–5/4–11/8
| | ptolemismic
| ptolemismic
|-
|-
| | 70
| 70
| | 0-2-11-18-20
| 0–2–11–18–20
| | 1-10/9-7/4-5/4-11/8
| 1–10/9–7/4–5/4–11/8
| | octagari
| octagari
|-
|-
| | 71
| 71
| | 0-8-11-18-20
| 0–8–11–18–20
| | 1-3/2-7/4-5/4-11/8
| 1–3/2–7/4–5/4–11/8
| | otonal
| otonal
|-
|-
| | 72
| 72
| | 0-9-11-18-20
| 0–9–11–18–20
| | 1-11/7-7/4-5/4-11/8
| 1–11/7–7/4–5/4–11/8
| | octagari
| octagari
|-
|-
| | 73
| 73
| | 0-8-16-18-20
| 0–8–16–18–20
| | 1-3/2-9/8-5/4-11/8
| 1–3/2–9/8–5/4–11/8
| | otonal
| otonal
|-
|-
| | 74
| 74
| | 0-9-16-18-20
| 0–9–16–18–20
| | 1-11/7-9/8-5/4-11/8
| 1–11/7–9/8–5/4–11/8
| | octagari
| octagari
|-
|-
| | 75
| 75
| | 0-11-16-18-20
| 0–11–16–18–20
| | 1-7/4-9/8-5/4-11/8
| 1–7/4–9/8–5/4–11/8
| | otonal
| otonal
|}
|}


=Hexads=
= Hexads =
 
{| class="wikitable"
{| class="wikitable"
|-
|-
| | Number
! Number
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
| | Hash
! Hash
|-
|-
| | 1
| 1
| | 0-2-4-7-9-11
| 0–2–4–7–9–11
| | 1-10/9-11/9-10/7-11/7-7/4
| 1–10/9–11/9–10/7–11/7–7/4
| | octacot
| octacot
|-
|-
| | 2
| 2
| | 0-2-4-7-9-12
| 0–2–4–7–9–12
| | 1-10/9-11/9-10/7-11/7-11/6
| 1–10/9–11/9–10/7–11/7–11/6
| | octarod
| octarod
|-
|-
| | 3
| 3
| | 0-2-5-7-9-12
| 0–2–5–7–9–12
| | 1-10/9-9/7-10/7-11/7-11/6
| 1–10/9–9/7–10/7–11/7–11/6
| | octarod
| octarod
|-
|-
| | 4
| 4
| | 0-2-5-7-10-12
| 0–2–5–7–10–12
| | 1-10/9-9/7-10/7-5/3-11/6
| 1–10/9–9/7–10/7–5/3–11/6
| | octarod
| octarod
|-
|-
| | 5
| 5
| | 0-3-5-7-10-12
| 0–3–5–7–10–12
| | 1-7/6-9/7-10/7-5/3-11/6
| 1–7/6–9/7–10/7–5/3–11/6
| | octarod
| octarod
|-
|-
| | 6
| 6
| | 0-3-5-8-10-12
| 0–3–5–8–10–12
| | 1-7/6-9/7-3/2-5/3-11/6
| 1–7/6–9/7–3/2–5/3–11/6
| | octarod
| octarod
|-
|-
| | 7
| 7
| | 0-4-7-9-11-16
| 0–4–7–9–11–16
| | 1-11/9-10/7-11/7-7/4-9/8
| 1–11/9–10/7–11/7–7/4–9/8
| | octacot
| octacot
|-
|-
| | 8
| 8
| | 0-4-7-9-12-16
| 0–4–7–9–12–16
| | 1-11/9-10/7-11/7-11/6-9/8
| 1–11/9–10/7–11/7–11/6–9/8
| | octacot
| octacot
|-
|-
| | 9
| 9
| | 0-5-7-9-12-16
| 0–5–7–9–12–16
| | 1-9/7-10/7-11/7-11/6-9/8
| 1–9/7–10/7–11/7–11/6–9/8
| | octacot
| octacot
|-
|-
| | 10
| 10
| | 0-2-7-9-11-18
| 0–2–7–9–11–18
| | 1-10/9-10/7-11/7-7/4-5/4
| 1–10/9–10/7–11/7–7/4–5/4
| | octagari
| octagari
|-
|-
| | 11
| 11
| | 0-7-9-11-16-18
| 0–7–9–11–16–18
| | 1-10/7-11/7-7/4-9/8-5/4
| 1–10/7–11/7–7/4–9/8–5/4
| | octagari
| octagari
|-
|-
| | 12
| 12
| | 0-2-4-9-11-20
| 0–2–4–9–11–20
| | 1-10/9-11/9-11/7-7/4-11/8
| 1–10/9–11/9–11/7–7/4–11/8
| | octagari
| octagari
|-
|-
| | 13
| 13
| | 0-2-4-9-12-20
| 0–2–4–9–12–20
| | 1-11/10-11/9-11/7-11/6-11/8
| 1–11/10–11/9–11/7–11/6–11/8
| | utonal
| utonal
|-
|-
| | 14
| 14
| | 0-4-8-11-16-20
| 0–4–8–11–16–20
| | 1-11/9-3/2-7/4-9/8-11/8
| 1–11/9–3/2–7/4–9/8–11/8
| | jove
| jove
|-
|-
| | 15
| 15
| | 0-4-9-11-16-20
| 0–4–9–11–16–20
| | 1-11/9-11/7-7/4-9/8-11/8
| 1–11/9–11/7–7/4–9/8–11/8
| | jove
| jove
|-
|-
| | 16
| 16
| | 0-4-8-12-16-20
| 0–4–8–12–16–20
| | 1-11/9-3/2-11/6-9/8-11/8
| 1–11/9–3/2–11/6–9/8–11/8
| | rastmic
| rastmic
|-
|-
| | 17
| 17
| | 0-4-9-12-16-20
| 0–4–9–12–16–20
| | 1-11/9-11/7-11/6-9/8-11/8
| 1–11/9–11/7–11/6–9/8–11/8
| | jove
| jove
|-
|-
| | 18
| 18
| | 0-2-9-11-18-20
| 0–2–9–11–18–20
| | 1-10/9-11/7-7/4-5/4-11/8
| 1–10/9–11/7–7/4–5/4–11/8
| | octagari
| octagari
|-
|-
| | 19
| 19
| | 0-8-11-16-18-20
| 0–8–11–16–18–20
| | 1-3/2-7/4-9/8-5/4-11/8
| 1–3/2–7/4–9/8–5/4–11/8
| | otonal
| otonal
|-
|-
| | 20
| 20
| | 0-9-11-16-18-20
| 0–9–11–16–18–20
| | 1-11/7-7/4-9/8-5/4-11/8
| 1–11/7–7/4–9/8–5/4–11/8
| | octagari
| octagari
|}
|}
[[Category:Lists of chords]]
[[Category:Lists of chords]]
[[Category:Dyadic chords]]
[[Category:Dyadic chords]]
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