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