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