Luna and hemithirds/Chords: Difference between revisions

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Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Gamelismic_clan#Hemithirds|hemithirds temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 441/440 are werckismic, and by 385/384 keenanismic.
Below are listed the [[dyadic chord]]s of [[11-limit]] [[hemithirds]] temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 441/440 are werckismic, and by 385/384 keenanismic.


Hemithirds has MOS of size 6, 7, 13, 19, 25, 31, 56 and 87. It may be seen that adding essentially tempered chords to the mix allows for a notably richer range of harmonies even for the 13 note MOS.
Hemithirds has MOS of size 6, 7, 13, 19, 25, 31, 56 and 87. It may be seen that adding essentially tempered chords to the mix allows for a notably richer range of harmonies even for the 13 note MOS.


=Triads=
== Triads ==


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


=Tetrads=
== Tetrads ==


{| class="wikitable"
{| class="wikitable"
|-
|-
| | Number
! Number
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 1
| 1
| | 0-2-5-7
| 0-2-5-7
| | 1-5/4-7/4-12/11
| 1-5/4-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 2
| 2
| | 0-3-5-8
| 0-3-5-8
| | 1-7/5-7/4-11/9
| 1-7/5-7/4-11/9
| | werckismic
| werckismic
|-
|-
| | 3
| 3
| | 0-3-5-20
| 0-3-5-20
| | 1-7/5-7/4-7/6
| 1-7/5-7/4-7/6
| | utonal
| utonal
|-
|-
| | 4
| 4
| | 0-15-17-20
| 0-15-17-20
| | 1-4/3-5/3-7/6
| 1-4/3-5/3-7/6
| | otonal
| otonal
|-
|-
| | 5
| 5
| | 0-2-5-22
| 0-2-5-22
| | 1-5/4-7/4-16/11
| 1-5/4-7/4-16/11
| | keenanismic
| keenanismic
|-
|-
| | 6
| 6
| | 0-2-7-22
| 0-2-7-22
| | 1-5/4-12/11-16/11
| 1-5/4-12/11-16/11
| | keenanismic
| keenanismic
|-
|-
| | 7
| 7
| | 0-5-7-22
| 0-5-7-22
| | 1-7/4-12/11-16/11
| 1-7/4-12/11-16/11
| | keenanismic
| keenanismic
|-
|-
| | 8
| 8
| | 0-7-15-22
| 0-7-15-22
| | 1-12/11-4/3-16/11
| 1-12/11-4/3-16/11
| | ambitonal
| ambitonal
|-
|-
| | 9
| 9
| | 0-2-17-22
| 0-2-17-22
| | 1-5/4-5/3-16/11
| 1-5/4-5/3-16/11
| | keenanismic
| keenanismic
|-
|-
| | 10
| 10
| | 0-15-17-22
| 0-15-17-22
| | 1-4/3-5/3-16/11
| 1-4/3-5/3-16/11
| | keenanismic
| keenanismic
|-
|-
| | 11
| 11
| | 0-5-20-22
| 0-5-20-22
| | 1-7/4-7/6-16/11
| 1-7/4-7/6-16/11
| | keenanismic
| keenanismic
|-
|-
| | 12
| 12
| | 0-15-20-22
| 0-15-20-22
| | 1-4/3-7/6-16/11
| 1-4/3-7/6-16/11
| | keenanismic
| keenanismic
|-
|-
| | 13
| 13
| | 0-17-20-22
| 0-17-20-22
| | 1-5/3-7/6-16/11
| 1-5/3-7/6-16/11
| | keenanismic
| keenanismic
|-
|-
| | 14
| 14
| | 0-2-7-24
| 0-2-7-24
| | 1-5/4-12/11-20/11
| 1-5/4-12/11-20/11
| | keenanismic
| keenanismic
|-
|-
| | 15
| 15
| | 0-2-17-24
| 0-2-17-24
| | 1-5/4-5/3-20/11
| 1-5/4-5/3-20/11
| | utonal
| utonal
|-
|-
| | 16
| 16
| | 0-2-22-24
| 0-2-22-24
| | 1-5/4-16/11-20/11
| 1-5/4-16/11-20/11
| | keenanismic
| keenanismic
|-
|-
| | 17
| 17
| | 0-7-22-24
| 0-7-22-24
| | 1-12/11-16/11-20/11
| 1-12/11-16/11-20/11
| | otonal
| otonal
|-
|-
| | 18
| 18
| | 0-17-22-24
| 0-17-22-24
| | 1-5/3-16/11-20/11
| 1-5/3-16/11-20/11
| | keenanismic
| keenanismic
|-
|-
| | 19
| 19
| | 0-3-5-27
| 0-3-5-27
| | 1-7/5-7/4-14/11
| 1-7/5-7/4-14/11
| | utonal
| utonal
|-
|-
| | 20
| 20
| | 0-5-7-27
| 0-5-7-27
| | 1-7/4-12/11-14/11
| 1-7/4-12/11-14/11
| | keenanismic
| keenanismic
|-
|-
| | 21
| 21
| | 0-3-20-27
| 0-3-20-27
| | 1-7/5-7/6-14/11
| 1-7/5-7/6-14/11
| | utonal
| utonal
|-
|-
| | 22
| 22
| | 0-5-20-27
| 0-5-20-27
| | 1-7/4-7/6-14/11
| 1-7/4-7/6-14/11
| | utonal
| utonal
|-
|-
| | 23
| 23
| | 0-5-22-27
| 0-5-22-27
| | 1-7/4-16/11-14/11
| 1-7/4-16/11-14/11
| | keenanismic
| keenanismic
|-
|-
| | 24
| 24
| | 0-7-22-27
| 0-7-22-27
| | 1-12/11-16/11-14/11
| 1-12/11-16/11-14/11
| | otonal
| otonal
|-
|-
| | 25
| 25
| | 0-20-22-27
| 0-20-22-27
| | 1-7/6-16/11-14/11
| 1-7/6-16/11-14/11
| | keenanismic
| keenanismic
|-
|-
| | 26
| 26
| | 0-7-24-27
| 0-7-24-27
| | 1-12/11-20/11-14/11
| 1-12/11-20/11-14/11
| | otonal
| otonal
|-
|-
| | 27
| 27
| | 0-22-24-27
| 0-22-24-27
| | 1-16/11-20/11-14/11
| 1-16/11-20/11-14/11
| | otonal
| otonal
|-
|-
| | 28
| 28
| | 0-3-8-30
| 0-3-8-30
| | 1-7/5-11/9-16/9
| 1-7/5-11/9-16/9
| | werckismic
| werckismic
|-
|-
| | 29
| 29
| | 0-8-15-30
| 0-8-15-30
| | 1-11/9-4/3-16/9
| 1-11/9-4/3-16/9
| | otonal
| otonal
|-
|-
| | 30
| 30
| | 0-15-22-30
| 0-15-22-30
| | 1-4/3-16/11-16/9
| 1-4/3-16/11-16/9
| | utonal
| utonal
|-
|-
| | 31
| 31
| | 0-3-27-30
| 0-3-27-30
| | 1-7/5-14/11-16/9
| 1-7/5-14/11-16/9
| | werckismic
| werckismic
|-
|-
| | 32
| 32
| | 0-22-27-30
| 0-22-27-30
| | 1-16/11-14/11-16/9
| 1-16/11-14/11-16/9
| | werckismic
| werckismic
|-
|-
| | 33
| 33
| | 0-2-5-32
| 0-2-5-32
| | 1-5/4-7/4-10/9
| 1-5/4-7/4-10/9
| | werckismic
| werckismic
|-
|-
| | 34
| 34
| | 0-5-8-32
| 0-5-8-32
| | 1-7/4-11/9-10/9
| 1-7/4-11/9-10/9
| | werckismic
| werckismic
|-
|-
| | 35
| 35
| | 0-8-15-32
| 0-8-15-32
| | 1-11/9-4/3-10/9
| 1-11/9-4/3-10/9
| | otonal
| otonal
|-
|-
| | 36
| 36
| | 0-2-17-32
| 0-2-17-32
| | 1-5/4-5/3-10/9
| 1-5/4-5/3-10/9
| | utonal
| utonal
|-
|-
| | 37
| 37
| | 0-15-17-32
| 0-15-17-32
| | 1-4/3-5/3-10/9
| 1-4/3-5/3-10/9
| | ambitonal
| ambitonal
|-
|-
| | 38
| 38
| | 0-2-24-32
| 0-2-24-32
| | 1-5/4-20/11-10/9
| 1-5/4-20/11-10/9
| | utonal
| utonal
|-
|-
| | 39
| 39
| | 0-17-24-32
| 0-17-24-32
| | 1-5/3-20/11-10/9
| 1-5/3-20/11-10/9
| | utonal
| utonal
|-
|-
| | 40
| 40
| | 0-5-27-32
| 0-5-27-32
| | 1-7/4-14/11-10/9
| 1-7/4-14/11-10/9
| | werckismic
| werckismic
|-
|-
| | 41
| 41
| | 0-24-27-32
| 0-24-27-32
| | 1-20/11-14/11-10/9
| 1-20/11-14/11-10/9
| | werckismic
| werckismic
|-
|-
| | 42
| 42
| | 0-8-30-32
| 0-8-30-32
| | 1-11/9-16/9-10/9
| 1-11/9-16/9-10/9
| | otonal
| otonal
|-
|-
| | 43
| 43
| | 0-15-30-32
| 0-15-30-32
| | 1-4/3-16/9-10/9
| 1-4/3-16/9-10/9
| | otonal
| otonal
|-
|-
| | 44
| 44
| | 0-27-30-32
| 0-27-30-32
| | 1-14/11-16/9-10/9
| 1-14/11-16/9-10/9
| | werckismic
| werckismic
|-
|-
| | 45
| 45
| | 0-3-5-35
| 0-3-5-35
| | 1-7/5-7/4-14/9
| 1-7/5-7/4-14/9
| | utonal
| utonal
|-
|-
| | 46
| 46
| | 0-3-8-35
| 0-3-8-35
| | 1-7/5-11/9-14/9
| 1-7/5-11/9-14/9
| | werckismic
| werckismic
|-
|-
| | 47
| 47
| | 0-5-8-35
| 0-5-8-35
| | 1-7/4-11/9-14/9
| 1-7/4-11/9-14/9
| | werckismic
| werckismic
|-
|-
| | 48
| 48
| | 0-8-15-35
| 0-8-15-35
| | 1-11/9-4/3-14/9
| 1-11/9-4/3-14/9
| | otonal
| otonal
|-
|-
| | 49
| 49
| | 0-3-20-35
| 0-3-20-35
| | 1-7/5-7/6-14/9
| 1-7/5-7/6-14/9
| | utonal
| utonal
|-
|-
| | 50
| 50
| | 0-5-20-35
| 0-5-20-35
| | 1-7/4-7/6-14/9
| 1-7/4-7/6-14/9
| | utonal
| utonal
|-
|-
| | 51
| 51
| | 0-15-20-35
| 0-15-20-35
| | 1-4/3-7/6-14/9
| 1-4/3-7/6-14/9
| | ambitonal
| ambitonal
|-
|-
| | 52
| 52
| | 0-3-27-35
| 0-3-27-35
| | 1-7/5-14/11-14/9
| 1-7/5-14/11-14/9
| | utonal
| utonal
|-
|-
| | 53
| 53
| | 0-5-27-35
| 0-5-27-35
| | 1-7/4-14/11-14/9
| 1-7/4-14/11-14/9
| | utonal
| utonal
|-
|-
| | 54
| 54
| | 0-20-27-35
| 0-20-27-35
| | 1-7/6-14/11-14/9
| 1-7/6-14/11-14/9
| | utonal
| utonal
|-
|-
| | 55
| 55
| | 0-3-30-35
| 0-3-30-35
| | 1-7/5-16/9-14/9
| 1-7/5-16/9-14/9
| | werckismic
| werckismic
|-
|-
| | 56
| 56
| | 0-8-30-35
| 0-8-30-35
| | 1-11/9-16/9-14/9
| 1-11/9-16/9-14/9
| | otonal
| otonal
|-
|-
| | 57
| 57
| | 0-15-30-35
| 0-15-30-35
| | 1-4/3-16/9-14/9
| 1-4/3-16/9-14/9
| | otonal
| otonal
|-
|-
| | 58
| 58
| | 0-27-30-35
| 0-27-30-35
| | 1-14/11-16/9-14/9
| 1-14/11-16/9-14/9
| | werckismic
| werckismic
|-
|-
| | 59
| 59
| | 0-5-32-35
| 0-5-32-35
| | 1-7/4-10/9-14/9
| 1-7/4-10/9-14/9
| | werckismic
| werckismic
|-
|-
| | 60
| 60
| | 0-8-32-35
| 0-8-32-35
| | 1-11/9-10/9-14/9
| 1-11/9-10/9-14/9
| | otonal
| otonal
|-
|-
| | 61
| 61
| | 0-15-32-35
| 0-15-32-35
| | 1-4/3-10/9-14/9
| 1-4/3-10/9-14/9
| | otonal
| otonal
|-
|-
| | 62
| 62
| | 0-27-32-35
| 0-27-32-35
| | 1-14/11-10/9-14/9
| 1-14/11-10/9-14/9
| | werckismic
| werckismic
|-
|-
| | 63
| 63
| | 0-30-32-35
| 0-30-32-35
| | 1-16/9-10/9-14/9
| 1-16/9-10/9-14/9
| | otonal
| otonal
|}
|}


=Pentads=
== Pentads ==


{| class="wikitable"
{| class="wikitable"
|-
|-
| | Number
! Number
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 1
| 1
| | 0-2-5-7-22
| 0-2-5-7-22
| | 1-5/4-7/4-12/11-16/11
| 1-5/4-7/4-12/11-16/11
| | keenanismic
| keenanismic
|-
|-
| | 2
| 2
| | 0-15-17-20-22
| 0-15-17-20-22
| | 1-4/3-5/3-7/6-16/11
| 1-4/3-5/3-7/6-16/11
| | keenanismic
| keenanismic
|-
|-
| | 3
| 3
| | 0-2-7-22-24
| 0-2-7-22-24
| | 1-5/4-12/11-16/11-20/11
| 1-5/4-12/11-16/11-20/11
| | keenanismic
| keenanismic
|-
|-
| | 4
| 4
| | 0-2-17-22-24
| 0-2-17-22-24
| | 1-5/4-5/3-16/11-20/11
| 1-5/4-5/3-16/11-20/11
| | keenanismic
| keenanismic
|-
|-
| | 5
| 5
| | 0-3-5-20-27
| 0-3-5-20-27
| | 1-7/5-7/4-7/6-14/11
| 1-7/5-7/4-7/6-14/11
| | utonal
| utonal
|-
|-
| | 6
| 6
| | 0-5-7-22-27
| 0-5-7-22-27
| | 1-7/4-12/11-16/11-14/11
| 1-7/4-12/11-16/11-14/11
| | keenanismic
| keenanismic
|-
|-
| | 7
| 7
| | 0-5-20-22-27
| 0-5-20-22-27
| | 1-7/4-7/6-16/11-14/11
| 1-7/4-7/6-16/11-14/11
| | keenanismic
| keenanismic
|-
|-
| | 8
| 8
| | 0-7-22-24-27
| 0-7-22-24-27
| | 1-12/11-16/11-20/11-14/11
| 1-12/11-16/11-20/11-14/11
| | otonal
| otonal
|-
|-
| | 9
| 9
| | 0-2-17-24-32
| 0-2-17-24-32
| | 1-5/4-5/3-20/11-10/9
| 1-5/4-5/3-20/11-10/9
| | utonal
| utonal
|-
|-
| | 10
| 10
| | 0-8-15-30-32
| 0-8-15-30-32
| | 1-11/9-4/3-16/9-10/9
| 1-11/9-4/3-16/9-10/9
| | otonal
| otonal
|-
|-
| | 11
| 11
| | 0-3-5-8-35
| 0-3-5-8-35
| | 1-7/5-7/4-11/9-14/9
| 1-7/5-7/4-11/9-14/9
| | werckismic
| werckismic
|-
|-
| | 12
| 12
| | 0-3-5-20-35
| 0-3-5-20-35
| | 1-7/5-7/4-7/6-14/9
| 1-7/5-7/4-7/6-14/9
| | utonal
| utonal
|-
|-
| | 13
| 13
| | 0-3-5-27-35
| 0-3-5-27-35
| | 1-7/5-7/4-14/11-14/9
| 1-7/5-7/4-14/11-14/9
| | utonal
| utonal
|-
|-
| | 14
| 14
| | 0-3-20-27-35
| 0-3-20-27-35
| | 1-7/5-7/6-14/11-14/9
| 1-7/5-7/6-14/11-14/9
| | utonal
| utonal
|-
|-
| | 15
| 15
| | 0-5-20-27-35
| 0-5-20-27-35
| | 1-7/4-7/6-14/11-14/9
| 1-7/4-7/6-14/11-14/9
| | utonal
| utonal
|-
|-
| | 16
| 16
| | 0-3-8-30-35
| 0-3-8-30-35
| | 1-7/5-11/9-16/9-14/9
| 1-7/5-11/9-16/9-14/9
| | werckismic
| werckismic
|-
|-
| | 17
| 17
| | 0-8-15-30-35
| 0-8-15-30-35
| | 1-11/9-4/3-16/9-14/9
| 1-11/9-4/3-16/9-14/9
| | otonal
| otonal
|-
|-
| | 18
| 18
| | 0-3-27-30-35
| 0-3-27-30-35
| | 1-7/5-14/11-16/9-14/9
| 1-7/5-14/11-16/9-14/9
| | werckismic
| werckismic
|-
|-
| | 19
| 19
| | 0-5-8-32-35
| 0-5-8-32-35
| | 1-7/4-11/9-10/9-14/9
| 1-7/4-11/9-10/9-14/9
| | werckismic
| werckismic
|-
|-
| | 20
| 20
| | 0-8-15-32-35
| 0-8-15-32-35
| | 1-11/9-4/3-10/9-14/9
| 1-11/9-4/3-10/9-14/9
| | otonal
| otonal
|-
|-
| | 21
| 21
| | 0-5-27-32-35
| 0-5-27-32-35
| | 1-7/4-14/11-10/9-14/9
| 1-7/4-14/11-10/9-14/9
| | werckismic
| werckismic
|-
|-
| | 22
| 22
| | 0-8-30-32-35
| 0-8-30-32-35
| | 1-11/9-16/9-10/9-14/9
| 1-11/9-16/9-10/9-14/9
| | otonal
| otonal
|-
|-
| | 23
| 23
| | 0-15-30-32-35
| 0-15-30-32-35
| | 1-4/3-16/9-10/9-14/9
| 1-4/3-16/9-10/9-14/9
| | otonal
| otonal
|-
|-
| | 24
| 24
| | 0-27-30-32-35
| 0-27-30-32-35
| | 1-14/11-16/9-10/9-14/9
| 1-14/11-16/9-10/9-14/9
| | werckismic
| werckismic
|}
|}


=Hexads=
== Hexads ==


{| class="wikitable"
{| class="wikitable"
|-
|-
| | Number
! Number
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 1
| 1
| | 0-3-5-20-27-35
| 0-3-5-20-27-35
| | 1-7/5-7/4-7/6-14/11-14/9
| 1-7/5-7/4-7/6-14/11-14/9
| | utonal
| utonal
|-
|-
| | 2
| 2
| | 0-8-15-30-32-35
| 0-8-15-30-32-35
| | 1-11/9-4/3-16/9-10/9-14/9
| 1-11/9-4/3-16/9-10/9-14/9
| | otonal
| otonal
|}
|}
[[Category:Lists of chords]]
[[Category:Hemithirds]]