Below are listed the dyadic chords of 11-limit semisept temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 540/539 are swetismic, and by 176/175 valinorsmic.
Semisept has MOS of size 5, 8, 13, 18, 31, 49 and 80. Some amount triadic and tetradic harmony shows itself by the 13-note MOS and much more with 18 notes. The swetismic tetrad with complexity 11 is worthy of particular note.
Triads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-2-9
|
1-12/7-7/5
|
swetismic
|
| 2
|
0-7-9
|
1-18/11-7/5
|
swetismic
|
| 3
|
0-2-11
|
1-12/7-6/5
|
utonal
|
| 4
|
0-9-11
|
1-7/5-6/5
|
otonal
|
| 5
|
0-2-12
|
1-12/7-11/7
|
otonal
|
| 6
|
0-6-12
|
1-5/4-11/7
|
valinorsmic
|
| 7
|
0-10-12
|
1-11/6-11/7
|
utonal
|
| 8
|
0-6-15
|
1-5/4-7/4
|
otonal
|
| 9
|
0-9-15
|
1-7/5-7/4
|
utonal
|
| 10
|
0-2-17
|
1-12/7-3/2
|
utonal
|
| 11
|
0-6-17
|
1-5/4-3/2
|
otonal
|
| 12
|
0-7-17
|
1-18/11-3/2
|
utonal
|
| 13
|
0-10-17
|
1-11/6-3/2
|
otonal
|
| 14
|
0-11-17
|
1-6/5-3/2
|
utonal
|
| 15
|
0-15-17
|
1-7/4-3/2
|
otonal
|
| 16
|
0-2-19
|
1-12/7-9/7
|
otonal
|
| 17
|
0-7-19
|
1-18/11-9/7
|
utonal
|
| 18
|
0-9-19
|
1-7/5-9/7
|
swetismic
|
| 19
|
0-10-19
|
1-11/6-9/7
|
swetismic
|
| 20
|
0-12-19
|
1-11/7-9/7
|
otonal
|
| 21
|
0-17-19
|
1-3/2-9/7
|
utonal
|
| 22
|
0-2-21
|
1-12/7-11/10
|
swetismic
|
| 23
|
0-6-21
|
1-5/4-11/10
|
valinorsmic
|
| 24
|
0-9-21
|
1-7/5-11/10
|
otonal
|
| 25
|
0-10-21
|
1-11/6-11/10
|
utonal
|
| 26
|
0-11-21
|
1-6/5-11/10
|
otonal
|
| 27
|
0-12-21
|
1-11/7-11/10
|
utonal
|
| 28
|
0-15-21
|
1-7/4-11/10
|
valinorsmic
|
| 29
|
0-19-21
|
1-9/7-11/10
|
swetismic
|
| 30
|
0-6-27
|
1-5/4-11/8
|
otonal
|
| 31
|
0-10-27
|
1-11/6-11/8
|
utonal
|
| 32
|
0-12-27
|
1-11/7-11/8
|
utonal
|
| 33
|
0-15-27
|
1-7/4-11/8
|
otonal
|
| 34
|
0-17-27
|
1-3/2-11/8
|
otonal
|
| 35
|
0-21-27
|
1-11/10-11/8
|
utonal
|
| 36
|
0-7-28
|
1-18/11-9/5
|
utonal
|
| 37
|
0-9-28
|
1-7/5-9/5
|
otonal
|
| 38
|
0-11-28
|
1-6/5-9/5
|
otonal
|
| 39
|
0-17-28
|
1-3/2-9/5
|
utonal
|
| 40
|
0-19-28
|
1-9/7-9/5
|
utonal
|
| 41
|
0-21-28
|
1-11/10-9/5
|
otonal
|
| 42
|
0-6-34
|
1-5/4-9/8
|
otonal
|
| 43
|
0-7-34
|
1-18/11-9/8
|
utonal
|
| 44
|
0-15-34
|
1-7/4-9/8
|
otonal
|
| 45
|
0-17-34
|
1-3/2-9/8
|
ambitonal
|
| 46
|
0-19-34
|
1-9/7-9/8
|
utonal
|
| 47
|
0-27-34
|
1-11/8-9/8
|
otonal
|
| 48
|
0-28-34
|
1-9/5-9/8
|
utonal
|
Tetrads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-2-9-11
|
1-12/7-7/5-6/5
|
swetismic
|
| 2
|
0-2-11-17
|
1-12/7-6/5-3/2
|
utonal
|
| 3
|
0-6-15-17
|
1-5/4-7/4-3/2
|
otonal
|
| 4
|
0-2-9-19
|
1-12/7-7/5-9/7
|
swetismic
|
| 5
|
0-7-9-19
|
1-18/11-7/5-9/7
|
swetismic
|
| 6
|
0-2-12-19
|
1-12/7-11/7-9/7
|
otonal
|
| 7
|
0-10-12-19
|
1-11/6-11/7-9/7
|
swetismic
|
| 8
|
0-2-17-19
|
1-12/7-3/2-9/7
|
ambitonal
|
| 9
|
0-7-17-19
|
1-18/11-3/2-9/7
|
utonal
|
| 10
|
0-10-17-19
|
1-11/6-3/2-9/7
|
swetismic
|
| 11
|
0-2-9-21
|
1-12/7-7/5-11/10
|
swetismic
|
| 12
|
0-2-11-21
|
1-12/7-6/5-11/10
|
swetismic
|
| 13
|
0-9-11-21
|
1-7/5-6/5-11/10
|
otonal
|
| 14
|
0-2-12-21
|
1-12/7-11/7-11/10
|
swetismic
|
| 15
|
0-6-12-21
|
1-5/4-11/7-11/10
|
valinorsmic
|
| 16
|
0-10-12-21
|
1-11/6-11/7-11/10
|
utonal
|
| 17
|
0-6-15-21
|
1-5/4-7/4-11/10
|
valinorsmic
|
| 18
|
0-9-15-21
|
1-7/5-7/4-11/10
|
valinorsmic
|
| 19
|
0-2-19-21
|
1-12/7-9/7-11/10
|
swetismic
|
| 20
|
0-9-19-21
|
1-7/5-9/7-11/10
|
swetismic
|
| 21
|
0-10-19-21
|
1-11/6-9/7-11/10
|
swetismic
|
| 22
|
0-12-19-21
|
1-11/7-9/7-11/10
|
swetismic
|
| 23
|
0-6-12-27
|
1-5/4-11/7-11/8
|
valinorsmic
|
| 24
|
0-10-12-27
|
1-11/6-11/7-11/8
|
utonal
|
| 25
|
0-6-15-27
|
1-5/4-7/4-11/8
|
otonal
|
| 26
|
0-6-17-27
|
1-5/4-3/2-11/8
|
otonal
|
| 27
|
0-10-17-27
|
1-11/6-3/2-11/8
|
ambitonal
|
| 28
|
0-15-17-27
|
1-7/4-3/2-11/8
|
otonal
|
| 29
|
0-6-21-27
|
1-5/4-11/10-11/8
|
valinorsmic
|
| 30
|
0-10-21-27
|
1-11/6-11/10-11/8
|
utonal
|
| 31
|
0-12-21-27
|
1-11/7-11/10-11/8
|
utonal
|
| 32
|
0-15-21-27
|
1-7/4-11/10-11/8
|
valinorsmic
|
| 33
|
0-7-9-28
|
1-18/11-7/5-9/5
|
swetismic
|
| 34
|
0-9-11-28
|
1-7/5-6/5-9/5
|
otonal
|
| 35
|
0-7-17-28
|
1-18/11-3/2-9/5
|
utonal
|
| 36
|
0-11-17-28
|
1-6/5-3/2-9/5
|
ambitonal
|
| 37
|
0-7-19-28
|
1-18/11-9/7-9/5
|
utonal
|
| 38
|
0-9-19-28
|
1-7/5-9/7-9/5
|
swetismic
|
| 39
|
0-17-19-28
|
1-3/2-9/7-9/5
|
utonal
|
| 40
|
0-9-21-28
|
1-7/5-11/10-9/5
|
otonal
|
| 41
|
0-11-21-28
|
1-6/5-11/10-9/5
|
otonal
|
| 42
|
0-19-21-28
|
1-9/7-11/10-9/5
|
swetismic
|
| 43
|
0-6-15-34
|
1-5/4-7/4-9/8
|
otonal
|
| 44
|
0-6-17-34
|
1-5/4-3/2-9/8
|
otonal
|
| 45
|
0-7-17-34
|
1-18/11-3/2-9/8
|
utonal
|
| 46
|
0-15-17-34
|
1-7/4-3/2-9/8
|
otonal
|
| 47
|
0-7-19-34
|
1-18/11-9/7-9/8
|
utonal
|
| 48
|
0-17-19-34
|
1-3/2-9/7-9/8
|
utonal
|
| 49
|
0-6-27-34
|
1-5/4-11/8-9/8
|
otonal
|
| 50
|
0-15-27-34
|
1-7/4-11/8-9/8
|
otonal
|
| 51
|
0-17-27-34
|
1-3/2-11/8-9/8
|
otonal
|
| 52
|
0-7-28-34
|
1-18/11-9/5-9/8
|
utonal
|
| 53
|
0-17-28-34
|
1-3/2-9/5-9/8
|
utonal
|
| 54
|
0-19-28-34
|
1-9/7-9/5-9/8
|
utonal
|
Pentads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-2-9-11-21
|
1-12/7-7/5-6/5-11/10
|
swetismic
|
| 2
|
0-2-9-19-21
|
1-12/7-7/5-9/7-11/10
|
swetismic
|
| 3
|
0-2-12-19-21
|
1-12/7-11/7-9/7-11/10
|
swetismic
|
| 4
|
0-10-12-19-21
|
1-11/6-11/7-9/7-11/10
|
swetismic
|
| 5
|
0-6-15-17-27
|
1-5/4-7/4-3/2-11/8
|
otonal
|
| 6
|
0-6-12-21-27
|
1-5/4-11/7-11/10-11/8
|
valinorsmic
|
| 7
|
0-10-12-21-27
|
1-11/6-11/7-11/10-11/8
|
utonal
|
| 8
|
0-6-15-21-27
|
1-5/4-7/4-11/10-11/8
|
valinorsmic
|
| 9
|
0-7-9-19-28
|
1-18/11-7/5-9/7-9/5
|
swetismic
|
| 10
|
0-7-17-19-28
|
1-18/11-3/2-9/7-9/5
|
utonal
|
| 11
|
0-9-11-21-28
|
1-7/5-6/5-11/10-9/5
|
otonal
|
| 12
|
0-9-19-21-28
|
1-7/5-9/7-11/10-9/5
|
swetismic
|
| 13
|
0-6-15-17-34
|
1-5/4-7/4-3/2-9/8
|
otonal
|
| 14
|
0-7-17-19-34
|
1-18/11-3/2-9/7-9/8
|
utonal
|
| 15
|
0-6-15-27-34
|
1-5/4-7/4-11/8-9/8
|
otonal
|
| 16
|
0-6-17-27-34
|
1-5/4-3/2-11/8-9/8
|
otonal
|
| 17
|
0-15-17-27-34
|
1-7/4-3/2-11/8-9/8
|
otonal
|
| 18
|
0-7-17-28-34
|
1-18/11-3/2-9/5-9/8
|
utonal
|
| 19
|
0-7-19-28-34
|
1-18/11-9/7-9/5-9/8
|
utonal
|
| 20
|
0-17-19-28-34
|
1-3/2-9/7-9/5-9/8
|
utonal
|
Hexads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-6-15-17-27-34
|
1-5/4-7/4-3/2-11/8-9/8
|
otonal
|
| 2
|
0-7-17-19-28-34
|
1-18/11-3/2-9/7-9/5-9/8
|
utonal
|