Catakleismic/11-limit chords: Difference between revisions

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Below are listed the [[Dyadic_chord|dyadic chords]] of 11-limit [[Kleismic_family#Catakleismic|catakleismic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, by 385/384 keenanismic, and by 225/224 marvel. Chords requiring any two of 540/539, 385/384 or 225/224 are labeled unimarvel.
Below are listed the [[dyadic chord]]s of 11-limit [[Catakleismic|catakleismic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by [[540/539]] are labeled [[Swetismic chords|swetismic]], by [[385/384]] [[Keenanismic chords|keenanismic]], and by [[225/224]] [[Marvel chords|marvel]]. Chords requiring any two of 540/539, 385/384 or 225/224 are labeled [[Undecimal marvel chords|unimarvel]].


Catakleismic has MOS of size 7, 11, 15, 19, 34, 53 and 72. It is a complex temperament and not much attention has been paid to it, but one notable feature it has is that 11-limit marvel (unimarvel) shrinks the kleisma to a very small interval in an optimal tuning, so very little tuning damage is incurred by catakleismic over that of marvel. Hence, catakleismic can be thought of as one way of organizing the chords of marvel, which are also listed below.
Catakleismic has MOS of size 7, 11, 15, 19, 34, 53 and 72. It is a complex temperament and not much attention has been paid to it, but one notable feature it has is that 11-limit marvel (unimarvel) shrinks the kleisma to a very small interval in an optimal tuning, so very little tuning damage is incurred by catakleismic over that of marvel. Hence, catakleismic can be thought of as one way of organizing the chords of marvel, which are also listed below.


=Triads=
== Triads ==


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


=Tetrads=
== Tetrads ==


{| class="wikitable"
{| class="wikitable center-1"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 1
| 1
| | 0-1-6-7
| 0-1-6-7
| | 1-6/5-3/2-9/5
| 1-6/5-3/2-9/5
| | ambitonal
| ambitonal
|-
|-
| | 2
| 2
| | 0-5-6-12
| 0-5-6-12
| | 1-5/4-3/2-9/8
| 1-5/4-3/2-9/8
| | otonal
| otonal
|-
|-
| | 3
| 3
| | 0-6-7-12
| 0-6-7-12
| | 1-3/2-9/5-9/8
| 1-3/2-9/5-9/8
| | utonal
| utonal
|-
|-
| | 4
| 4
| | 0-1-7-17
| 0-1-7-17
| | 1-6/5-9/5-7/5
| 1-6/5-9/5-7/5
| | otonal
| otonal
|-
|-
| | 5
| 5
| | 0-5-10-17
| 0-5-10-17
| | 1-5/4-14/9-7/5
| 1-5/4-14/9-7/5
| | marvel
| marvel
|-
|-
| | 6
| 6
| | 0-5-12-17
| 0-5-12-17
| | 1-5/4-9/8-7/5
| 1-5/4-9/8-7/5
| | marvel
| marvel
|-
|-
| | 7
| 7
| | 0-7-12-17
| 0-7-12-17
| | 1-9/5-9/8-7/5
| 1-9/5-9/8-7/5
| | marvel
| marvel
|-
|-
| | 8
| 8
| | 0-10-16-17
| 0-10-16-17
| | 1-14/9-7/6-7/5
| 1-14/9-7/6-7/5
| | utonal
| utonal
|-
|-
| | 9
| 9
| | 0-1-6-22
| 0-1-6-22
| | 1-6/5-3/2-7/4
| 1-6/5-3/2-7/4
| | keenanismic
| keenanismic
|-
|-
| | 10
| 10
| | 0-5-6-22
| 0-5-6-22
| | 1-5/4-3/2-7/4
| 1-5/4-3/2-7/4
| | otonal
| otonal
|-
|-
| | 11
| 11
| | 0-5-10-22
| 0-5-10-22
| | 1-5/4-14/9-7/4
| 1-5/4-14/9-7/4
| | marvel
| marvel
|-
|-
| | 12
| 12
| | 0-5-12-22
| 0-5-12-22
| | 1-5/4-9/8-7/4
| 1-5/4-9/8-7/4
| | otonal
| otonal
|-
|-
| | 13
| 13
| | 0-6-12-22
| 0-6-12-22
| | 1-3/2-9/8-7/4
| 1-3/2-9/8-7/4
| | otonal
| otonal
|-
|-
| | 14
| 14
| | 0-6-16-22
| 0-6-16-22
| | 1-3/2-7/6-7/4
| 1-3/2-7/6-7/4
| | ambitonal
| ambitonal
|-
|-
| | 15
| 15
| | 0-10-16-22
| 0-10-16-22
| | 1-14/9-7/6-7/4
| 1-14/9-7/6-7/4
| | utonal
| utonal
|-
|-
| | 16
| 16
| | 0-1-17-22
| 0-1-17-22
| | 1-6/5-7/5-7/4
| 1-6/5-7/5-7/4
| | keenanismic
| keenanismic
|-
|-
| | 17
| 17
| | 0-5-17-22
| 0-5-17-22
| | 1-5/4-7/5-7/4
| 1-5/4-7/5-7/4
| | marvel
| marvel
|-
|-
| | 18
| 18
| | 0-10-17-22
| 0-10-17-22
| | 1-14/9-7/5-7/4
| 1-14/9-7/5-7/4
| | utonal
| utonal
|-
|-
| | 19
| 19
| | 0-12-17-22
| 0-12-17-22
| | 1-9/8-7/5-7/4
| 1-9/8-7/5-7/4
| | marvel
| marvel
|-
|-
| | 20
| 20
| | 0-16-17-22
| 0-16-17-22
| | 1-7/6-7/5-7/4
| 1-7/6-7/5-7/4
| | utonal
| utonal
|-
|-
| | 21
| 21
| | 0-5-21-22
| 0-5-21-22
| | 1-5/4-16/11-7/4
| 1-5/4-16/11-7/4
| | keenanismic
| keenanismic
|-
|-
| | 22
| 22
| | 0-16-21-22
| 0-16-21-22
| | 1-7/6-16/11-7/4
| 1-7/6-16/11-7/4
| | keenanismic
| keenanismic
|-
|-
| | 23
| 23
| | 0-5-10-26
| 0-5-10-26
| | 1-5/4-14/9-20/11
| 1-5/4-14/9-20/11
| | unimarv
| unimarv
|-
|-
| | 24
| 24
| | 0-10-16-26
| 0-10-16-26
| | 1-14/9-7/6-20/11
| 1-14/9-7/6-20/11
| | swetismic
| swetismic
|-
|-
| | 25
| 25
| | 0-5-21-26
| 0-5-21-26
| | 1-5/4-16/11-20/11
| 1-5/4-16/11-20/11
| | keenanismic
| keenanismic
|-
|-
| | 26
| 26
| | 0-16-21-26
| 0-16-21-26
| | 1-7/6-16/11-20/11
| 1-7/6-16/11-20/11
| | unimarv
| unimarv
|-
|-
| | 27
| 27
| | 0-1-6-27
| 0-1-6-27
| | 1-6/5-3/2-12/11
| 1-6/5-3/2-12/11
| | utonal
| utonal
|-
|-
| | 28
| 28
| | 0-5-6-27
| 0-5-6-27
| | 1-5/4-3/2-12/11
| 1-5/4-3/2-12/11
| | keenanismic
| keenanismic
|-
|-
| | 29
| 29
| | 0-5-10-27
| 0-5-10-27
| | 1-5/4-14/9-12/11
| 1-5/4-14/9-12/11
| | unimarv
| unimarv
|-
|-
| | 30
| 30
| | 0-1-17-27
| 0-1-17-27
| | 1-6/5-7/5-12/11
| 1-6/5-7/5-12/11
| | swetismic
| swetismic
|-
|-
| | 31
| 31
| | 0-5-17-27
| 0-5-17-27
| | 1-5/4-7/5-12/11
| 1-5/4-7/5-12/11
| | unimarv
| unimarv
|-
|-
| | 32
| 32
| | 0-10-17-27
| 0-10-17-27
| | 1-14/9-7/5-12/11
| 1-14/9-7/5-12/11
| | swetismic
| swetismic
|-
|-
| | 33
| 33
| | 0-5-21-27
| 0-5-21-27
| | 1-5/4-16/11-12/11
| 1-5/4-16/11-12/11
| | keenanismic
| keenanismic
|-
|-
| | 34
| 34
| | 0-1-22-27
| 0-1-22-27
| | 1-6/5-7/4-12/11
| 1-6/5-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 35
| 35
| | 0-5-22-27
| 0-5-22-27
| | 1-5/4-7/4-12/11
| 1-5/4-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 36
| 36
| | 0-6-22-27
| 0-6-22-27
| | 1-3/2-7/4-12/11
| 1-3/2-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 37
| 37
| | 0-10-22-27
| 0-10-22-27
| | 1-14/9-7/4-12/11
| 1-14/9-7/4-12/11
| | unimarv
| unimarv
|-
|-
| | 38
| 38
| | 0-17-22-27
| 0-17-22-27
| | 1-7/5-7/4-12/11
| 1-7/5-7/4-12/11
| | unimarv
| unimarv
|-
|-
| | 39
| 39
| | 0-21-22-27
| 0-21-22-27
| | 1-16/11-7/4-12/11
| 1-16/11-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 40
| 40
| | 0-5-26-27
| 0-5-26-27
| | 1-5/4-20/11-12/11
| 1-5/4-20/11-12/11
| | keenanismic
| keenanismic
|-
|-
| | 41
| 41
| | 0-10-26-27
| 0-10-26-27
| | 1-14/9-20/11-12/11
| 1-14/9-20/11-12/11
| | swetismic
| swetismic
|-
|-
| | 42
| 42
| | 0-21-26-27
| 0-21-26-27
| | 1-16/11-20/11-12/11
| 1-16/11-20/11-12/11
| | otonal
| otonal
|-
|-
| | 43
| 43
| | 0-6-7-33
| 0-6-7-33
| | 1-3/2-9/5-18/11
| 1-3/2-9/5-18/11
| | utonal
| utonal
|-
|-
| | 44
| 44
| | 0-6-12-33
| 0-6-12-33
| | 1-3/2-9/8-18/11
| 1-3/2-9/8-18/11
| | utonal
| utonal
|-
|-
| | 45
| 45
| | 0-7-12-33
| 0-7-12-33
| | 1-9/5-9/8-18/11
| 1-9/5-9/8-18/11
| | utonal
| utonal
|-
|-
| | 46
| 46
| | 0-6-16-33
| 0-6-16-33
| | 1-3/2-7/6-18/11
| 1-3/2-7/6-18/11
| | swetismic
| swetismic
|-
|-
| | 47
| 47
| | 0-7-17-33
| 0-7-17-33
| | 1-9/5-7/5-18/11
| 1-9/5-7/5-18/11
| | swetismic
| swetismic
|-
|-
| | 48
| 48
| | 0-12-17-33
| 0-12-17-33
| | 1-9/8-7/5-18/11
| 1-9/8-7/5-18/11
| | unimarv
| unimarv
|-
|-
| | 49
| 49
| | 0-16-17-33
| 0-16-17-33
| | 1-7/6-7/5-18/11
| 1-7/6-7/5-18/11
| | swetismic
| swetismic
|-
|-
| | 50
| 50
| | 0-16-21-33
| 0-16-21-33
| | 1-7/6-16/11-18/11
| 1-7/6-16/11-18/11
| | unimarv
| unimarv
|-
|-
| | 51
| 51
| | 0-16-26-33
| 0-16-26-33
| | 1-7/6-20/11-18/11
| 1-7/6-20/11-18/11
| | swetismic
| swetismic
|-
|-
| | 52
| 52
| | 0-21-26-33
| 0-21-26-33
| | 1-16/11-20/11-18/11
| 1-16/11-20/11-18/11
| | otonal
| otonal
|-
|-
| | 53
| 53
| | 0-6-27-33
| 0-6-27-33
| | 1-3/2-12/11-18/11
| 1-3/2-12/11-18/11
| | ambitonal
| ambitonal
|-
|-
| | 54
| 54
| | 0-17-27-33
| 0-17-27-33
| | 1-7/5-12/11-18/11
| 1-7/5-12/11-18/11
| | swetismic
| swetismic
|-
|-
| | 55
| 55
| | 0-21-27-33
| 0-21-27-33
| | 1-16/11-12/11-18/11
| 1-16/11-12/11-18/11
| | otonal
| otonal
|-
|-
| | 56
| 56
| | 0-26-27-33
| 0-26-27-33
| | 1-20/11-12/11-18/11
| 1-20/11-12/11-18/11
| | otonal
| otonal
|-
|-
| | 57
| 57
| | 0-10-16-43
| 0-10-16-43
| | 1-14/9-7/6-14/11
| 1-14/9-7/6-14/11
| | utonal
| utonal
|-
|-
| | 58
| 58
| | 0-10-17-43
| 0-10-17-43
| | 1-14/9-7/5-14/11
| 1-14/9-7/5-14/11
| | utonal
| utonal
|-
|-
| | 59
| 59
| | 0-16-17-43
| 0-16-17-43
| | 1-7/6-7/5-14/11
| 1-7/6-7/5-14/11
| | utonal
| utonal
|-
|-
| | 60
| 60
| | 0-16-21-43
| 0-16-21-43
| | 1-7/6-16/11-14/11
| 1-7/6-16/11-14/11
| | keenanismic
| keenanismic
|-
|-
| | 61
| 61
| | 0-10-22-43
| 0-10-22-43
| | 1-14/9-7/4-14/11
| 1-14/9-7/4-14/11
| | utonal
| utonal
|-
|-
| | 62
| 62
| | 0-16-22-43
| 0-16-22-43
| | 1-7/6-7/4-14/11
| 1-7/6-7/4-14/11
| | utonal
| utonal
|-
|-
| | 63
| 63
| | 0-17-22-43
| 0-17-22-43
| | 1-7/5-7/4-14/11
| 1-7/5-7/4-14/11
| | utonal
| utonal
|-
|-
| | 64
| 64
| | 0-21-22-43
| 0-21-22-43
| | 1-16/11-7/4-14/11
| 1-16/11-7/4-14/11
| | keenanismic
| keenanismic
|-
|-
| | 65
| 65
| | 0-10-26-43
| 0-10-26-43
| | 1-14/9-20/11-14/11
| 1-14/9-20/11-14/11
| | swetismic
| swetismic
|-
|-
| | 66
| 66
| | 0-16-26-43
| 0-16-26-43
| | 1-7/6-20/11-14/11
| 1-7/6-20/11-14/11
| | swetismic
| swetismic
|-
|-
| | 67
| 67
| | 0-21-26-43
| 0-21-26-43
| | 1-16/11-20/11-14/11
| 1-16/11-20/11-14/11
| | otonal
| otonal
|-
|-
| | 68
| 68
| | 0-10-27-43
| 0-10-27-43
| | 1-14/9-12/11-14/11
| 1-14/9-12/11-14/11
| | swetismic
| swetismic
|-
|-
| | 69
| 69
| | 0-17-27-43
| 0-17-27-43
| | 1-7/5-12/11-14/11
| 1-7/5-12/11-14/11
| | swetismic
| swetismic
|-
|-
| | 70
| 70
| | 0-21-27-43
| 0-21-27-43
| | 1-16/11-12/11-14/11
| 1-16/11-12/11-14/11
| | otonal
| otonal
|-
|-
| | 71
| 71
| | 0-22-27-43
| 0-22-27-43
| | 1-7/4-12/11-14/11
| 1-7/4-12/11-14/11
| | keenanismic
| keenanismic
|-
|-
| | 72
| 72
| | 0-26-27-43
| 0-26-27-43
| | 1-20/11-12/11-14/11
| 1-20/11-12/11-14/11
| | otonal
| otonal
|-
|-
| | 73
| 73
| | 0-16-33-43
| 0-16-33-43
| | 1-7/6-18/11-14/11
| 1-7/6-18/11-14/11
| | swetismic
| swetismic
|-
|-
| | 74
| 74
| | 0-17-33-43
| 0-17-33-43
| | 1-7/5-18/11-14/11
| 1-7/5-18/11-14/11
| | swetismic
| swetismic
|-
|-
| | 75
| 75
| | 0-21-33-43
| 0-21-33-43
| | 1-16/11-18/11-14/11
| 1-16/11-18/11-14/11
| | otonal
| otonal
|-
|-
| | 76
| 76
| | 0-26-33-43
| 0-26-33-43
| | 1-20/11-18/11-14/11
| 1-20/11-18/11-14/11
| | otonal
| otonal
|-
|-
| | 77
| 77
| | 0-27-33-43
| 0-27-33-43
| | 1-12/11-18/11-14/11
| 1-12/11-18/11-14/11
| | otonal
| otonal
|}
|}


=Pentads=
== Pentads ==


{| class="wikitable"
{| class="wikitable center-1"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 1
| 1
| | 0-5-6-12-22
| 0-5-6-12-22
| | 1-5/4-3/2-9/8-7/4
| 1-5/4-3/2-9/8-7/4
| | otonal
| otonal
|-
|-
| | 2
| 2
| | 0-5-10-17-22
| 0-5-10-17-22
| | 1-5/4-14/9-7/5-7/4
| 1-5/4-14/9-7/5-7/4
| | marvel
| marvel
|-
|-
| | 3
| 3
| | 0-5-12-17-22
| 0-5-12-17-22
| | 1-5/4-9/8-7/5-7/4
| 1-5/4-9/8-7/5-7/4
| | marvel
| marvel
|-
|-
| | 4
| 4
| | 0-10-16-17-22
| 0-10-16-17-22
| | 1-14/9-7/6-7/5-7/4
| 1-14/9-7/6-7/5-7/4
| | utonal
| utonal
|-
|-
| | 5
| 5
| | 0-5-10-17-27
| 0-5-10-17-27
| | 1-5/4-14/9-7/5-12/11
| 1-5/4-14/9-7/5-12/11
| | unimarv
| unimarv
|-
|-
| | 6
| 6
| | 0-1-6-22-27
| 0-1-6-22-27
| | 1-6/5-3/2-7/4-12/11
| 1-6/5-3/2-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 7
| 7
| | 0-5-6-22-27
| 0-5-6-22-27
| | 1-5/4-3/2-7/4-12/11
| 1-5/4-3/2-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 8
| 8
| | 0-5-10-22-27
| 0-5-10-22-27
| | 1-5/4-14/9-7/4-12/11
| 1-5/4-14/9-7/4-12/11
| | unimarv
| unimarv
|-
|-
| | 9
| 9
| | 0-1-17-22-27
| 0-1-17-22-27
| | 1-6/5-7/5-7/4-12/11
| 1-6/5-7/5-7/4-12/11
| | unimarv
| unimarv
|-
|-
| | 10
| 10
| | 0-5-17-22-27
| 0-5-17-22-27
| | 1-5/4-7/5-7/4-12/11
| 1-5/4-7/5-7/4-12/11
| | unimarv
| unimarv
|-
|-
| | 11
| 11
| | 0-10-17-22-27
| 0-10-17-22-27
| | 1-14/9-7/5-7/4-12/11
| 1-14/9-7/5-7/4-12/11
| | unimarv
| unimarv
|-
|-
| | 12
| 12
| | 0-5-21-22-27
| 0-5-21-22-27
| | 1-5/4-16/11-7/4-12/11
| 1-5/4-16/11-7/4-12/11
| | keenanismic
| keenanismic
|-
|-
| | 13
| 13
| | 0-5-10-26-27
| 0-5-10-26-27
| | 1-5/4-14/9-20/11-12/11
| 1-5/4-14/9-20/11-12/11
| | unimarv
| unimarv
|-
|-
| | 14
| 14
| | 0-5-21-26-27
| 0-5-21-26-27
| | 1-5/4-16/11-20/11-12/11
| 1-5/4-16/11-20/11-12/11
| | keenanismic
| keenanismic
|-
|-
| | 15
| 15
| | 0-6-7-12-33
| 0-6-7-12-33
| | 1-3/2-9/5-9/8-18/11
| 1-3/2-9/5-9/8-18/11
| | utonal
| utonal
|-
|-
| | 16
| 16
| | 0-7-12-17-33
| 0-7-12-17-33
| | 1-9/5-9/8-7/5-18/11
| 1-9/5-9/8-7/5-18/11
| | unimarv
| unimarv
|-
|-
| | 17
| 17
| | 0-16-21-26-33
| 0-16-21-26-33
| | 1-7/6-16/11-20/11-18/11
| 1-7/6-16/11-20/11-18/11
| | unimarv
| unimarv
|-
|-
| | 18
| 18
| | 0-21-26-27-33
| 0-21-26-27-33
| | 1-16/11-20/11-12/11-18/11
| 1-16/11-20/11-12/11-18/11
| | otonal
| otonal
|-
|-
| | 19
| 19
| | 0-10-16-17-43
| 0-10-16-17-43
| | 1-14/9-7/6-7/5-14/11
| 1-14/9-7/6-7/5-14/11
| | utonal
| utonal
|-
|-
| | 20
| 20
| | 0-10-16-22-43
| 0-10-16-22-43
| | 1-14/9-7/6-7/4-14/11
| 1-14/9-7/6-7/4-14/11
| | utonal
| utonal
|-
|-
| | 21
| 21
| | 0-10-17-22-43
| 0-10-17-22-43
| | 1-14/9-7/5-7/4-14/11
| 1-14/9-7/5-7/4-14/11
| | utonal
| utonal
|-
|-
| | 22
| 22
| | 0-16-17-22-43
| 0-16-17-22-43
| | 1-7/6-7/5-7/4-14/11
| 1-7/6-7/5-7/4-14/11
| | utonal
| utonal
|-
|-
| | 23
| 23
| | 0-16-21-22-43
| 0-16-21-22-43
| | 1-7/6-16/11-7/4-14/11
| 1-7/6-16/11-7/4-14/11
| | keenanismic
| keenanismic
|-
|-
| | 24
| 24
| | 0-10-16-26-43
| 0-10-16-26-43
| | 1-14/9-7/6-20/11-14/11
| 1-14/9-7/6-20/11-14/11
| | swetismic
| swetismic
|-
|-
| | 25
| 25
| | 0-16-21-26-43
| 0-16-21-26-43
| | 1-7/6-16/11-20/11-14/11
| 1-7/6-16/11-20/11-14/11
| | unimarv
| unimarv
|-
|-
| | 26
| 26
| | 0-10-17-27-43
| 0-10-17-27-43
| | 1-14/9-7/5-12/11-14/11
| 1-14/9-7/5-12/11-14/11
| | swetismic
| swetismic
|-
|-
| | 27
| 27
| | 0-10-22-27-43
| 0-10-22-27-43
| | 1-14/9-7/4-12/11-14/11
| 1-14/9-7/4-12/11-14/11
| | unimarv
| unimarv
|-
|-
| | 28
| 28
| | 0-17-22-27-43
| 0-17-22-27-43
| | 1-7/5-7/4-12/11-14/11
| 1-7/5-7/4-12/11-14/11
| | unimarv
| unimarv
|-
|-
| | 29
| 29
| | 0-21-22-27-43
| 0-21-22-27-43
| | 1-16/11-7/4-12/11-14/11
| 1-16/11-7/4-12/11-14/11
| | keenanismic
| keenanismic
|-
|-
| | 30
| 30
| | 0-10-26-27-43
| 0-10-26-27-43
| | 1-14/9-20/11-12/11-14/11
| 1-14/9-20/11-12/11-14/11
| | swetismic
| swetismic
|-
|-
| | 31
| 31
| | 0-21-26-27-43
| 0-21-26-27-43
| | 1-16/11-20/11-12/11-14/11
| 1-16/11-20/11-12/11-14/11
| | otonal
| otonal
|-
|-
| | 32
| 32
| | 0-16-17-33-43
| 0-16-17-33-43
| | 1-7/6-7/5-18/11-14/11
| 1-7/6-7/5-18/11-14/11
| | swetismic
| swetismic
|-
|-
| | 33
| 33
| | 0-16-21-33-43
| 0-16-21-33-43
| | 1-7/6-16/11-18/11-14/11
| 1-7/6-16/11-18/11-14/11
| | unimarv
| unimarv
|-
|-
| | 34
| 34
| | 0-16-26-33-43
| 0-16-26-33-43
| | 1-7/6-20/11-18/11-14/11
| 1-7/6-20/11-18/11-14/11
| | swetismic
| swetismic
|-
|-
| | 35
| 35
| | 0-21-26-33-43
| 0-21-26-33-43
| | 1-16/11-20/11-18/11-14/11
| 1-16/11-20/11-18/11-14/11
| | otonal
| otonal
|-
|-
| | 36
| 36
| | 0-17-27-33-43
| 0-17-27-33-43
| | 1-7/5-12/11-18/11-14/11
| 1-7/5-12/11-18/11-14/11
| | swetismic
| swetismic
|-
|-
| | 37
| 37
| | 0-21-27-33-43
| 0-21-27-33-43
| | 1-16/11-12/11-18/11-14/11
| 1-16/11-12/11-18/11-14/11
| | otonal
| otonal
|-
|-
| | 38
| 38
| | 0-26-27-33-43
| 0-26-27-33-43
| | 1-20/11-12/11-18/11-14/11
| 1-20/11-12/11-18/11-14/11
| | otonal
| otonal
|}
|}


=Hexads=
== Hexads ==


{| class="wikitable"
{| class="wikitable center-1"
|-
|-
| | Number
! #
| | Chord
! Chord
| | Transversal
! Transversal
| | Type
! Type
|-
|-
| | 1
| 1
| | 0-5-10-17-22-27
| 0-5-10-17-22-27
| | 1-5/4-14/9-7/5-7/4-12/11
| 1-5/4-14/9-7/5-7/4-12/11
| | unimarv
| unimarv
|-
|-
| | 2
| 2
| | 0-10-16-17-22-43
| 0-10-16-17-22-43
| | 1-14/9-7/6-7/5-7/4-14/11
| 1-14/9-7/6-7/5-7/4-14/11
| | utonal
| utonal
|-
|-
| | 3
| 3
| | 0-10-17-22-27-43
| 0-10-17-22-27-43
| | 1-14/9-7/5-7/4-12/11-14/11
| 1-14/9-7/5-7/4-12/11-14/11
| | unimarv
| unimarv
|-
|-
| | 4
| 4
| | 0-16-21-26-33-43
| 0-16-21-26-33-43
| | 1-7/6-16/11-20/11-18/11-14/11
| 1-7/6-16/11-20/11-18/11-14/11
| | unimarv
| unimarv
|-
|-
| | 5
| 5
| | 0-21-26-27-33-43
| 0-21-26-27-33-43
| | 1-16/11-20/11-12/11-18/11-14/11
| 1-16/11-20/11-12/11-18/11-14/11
| | otonal
| otonal
|}
|}
[[Category:Chords]]
[[Category:Catakleismic]]