Below are listed the dyadic chords of 11-limit hemiwur temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 121/120 are biyatismic, by 176/175 valinorsmic, and by 385/384 keenanismic. Chords requiring any two of the above are labeled zeus.
Hemiwur has MOS of size 6, 7, 13, 19, 25, 31, 37 and 68. The largest chords on these lists have complexity 32, and so would require the 37 note MOS, but there are many chords of much lower complexity, so that the 13-note MOS, for instance, has a couple of hexads, plus many more pentads, tetrads and triads.
Triads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-2-4
|
1-5/4-11/7
|
valinorsmic
|
| 2
|
0-2-5
|
1-5/4-7/4
|
otonal
|
| 3
|
0-3-5
|
1-7/5-7/4
|
utonal
|
| 4
|
0-2-7
|
1-5/4-11/10
|
valinorsmic
|
| 5
|
0-3-7
|
1-7/5-11/10
|
otonal
|
| 6
|
0-4-7
|
1-11/7-11/10
|
utonal
|
| 7
|
0-5-7
|
1-7/4-11/10
|
valinorsmic
|
| 8
|
0-2-9
|
1-5/4-11/8
|
otonal
|
| 9
|
0-4-9
|
1-11/7-11/8
|
utonal
|
| 10
|
0-5-9
|
1-7/4-11/8
|
otonal
|
| 11
|
0-7-9
|
1-11/10-11/8
|
utonal
|
| 12
|
0-2-11
|
1-5/4-12/7
|
keenanismic
|
| 13
|
0-4-11
|
1-11/7-12/7
|
otonal
|
| 14
|
0-7-11
|
1-12/11-12/7
|
utonal
|
| 15
|
0-9-11
|
1-11/8-12/7
|
keenanismic
|
| 16
|
0-3-14
|
1-7/5-6/5
|
otonal
|
| 17
|
0-5-14
|
1-7/4-6/5
|
keenanismic
|
| 18
|
0-7-14
|
1-11/10-6/5
|
otonal
|
| 19
|
0-9-14
|
1-11/8-6/5
|
keenanismic
|
| 20
|
0-11-14
|
1-12/7-6/5
|
utonal
|
| 21
|
0-2-16
|
1-5/4-3/2
|
otonal
|
| 22
|
0-5-16
|
1-7/4-3/2
|
otonal
|
| 23
|
0-7-16
|
1-12/11-3/2
|
utonal
|
| 24
|
0-9-16
|
1-11/8-3/2
|
otonal
|
| 25
|
0-11-16
|
1-12/7-3/2
|
utonal
|
| 26
|
0-14-16
|
1-6/5-3/2
|
utonal
|
| 27
|
0-7-23
|
1-12/11-18/11
|
otonal
|
| 28
|
0-9-23
|
1-11/8-18/11
|
biyatismic
|
| 29
|
0-14-23
|
1-6/5-18/11
|
biyatismic
|
| 30
|
0-16-23
|
1-3/2-18/11
|
utonal
|
| 31
|
0-4-27
|
1-11/7-9/7
|
otonal
|
| 32
|
0-11-27
|
1-12/7-9/7
|
otonal
|
| 33
|
0-16-27
|
1-3/2-9/7
|
utonal
|
| 34
|
0-23-27
|
1-18/11-9/7
|
utonal
|
| 35
|
0-3-30
|
1-7/5-9/5
|
otonal
|
| 36
|
0-7-30
|
1-11/10-9/5
|
otonal
|
| 37
|
0-14-30
|
1-6/5-9/5
|
otonal
|
| 38
|
0-16-30
|
1-3/2-9/5
|
utonal
|
| 39
|
0-23-30
|
1-18/11-9/5
|
utonal
|
| 40
|
0-27-30
|
1-9/7-9/5
|
utonal
|
| 41
|
0-2-32
|
1-5/4-9/8
|
otonal
|
| 42
|
0-5-32
|
1-7/4-9/8
|
otonal
|
| 43
|
0-9-32
|
1-11/8-9/8
|
otonal
|
| 44
|
0-16-32
|
1-3/2-9/8
|
ambitonal
|
| 45
|
0-23-32
|
1-18/11-9/8
|
utonal
|
| 46
|
0-27-32
|
1-9/7-9/8
|
utonal
|
| 47
|
0-30-32
|
1-9/5-9/8
|
utonal
|
Tetrads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-2-4-7
|
1-5/4-11/7-11/10
|
valinorsmic
|
| 2
|
0-2-5-7
|
1-5/4-7/4-11/10
|
valinorsmic
|
| 3
|
0-3-5-7
|
1-7/5-7/4-11/10
|
valinorsmic
|
| 4
|
0-2-4-9
|
1-5/4-11/7-11/8
|
valinorsmic
|
| 5
|
0-2-5-9
|
1-5/4-7/4-11/8
|
otonal
|
| 6
|
0-2-7-9
|
1-5/4-11/10-11/8
|
valinorsmic
|
| 7
|
0-4-7-9
|
1-11/7-11/10-11/8
|
utonal
|
| 8
|
0-5-7-9
|
1-7/4-11/10-11/8
|
valinorsmic
|
| 9
|
0-2-4-11
|
1-5/4-11/7-12/7
|
zeus
|
| 10
|
0-2-7-11
|
1-5/4-11/10-12/7
|
zeus
|
| 11
|
0-4-7-11
|
1-11/7-11/10-12/7
|
biyatismic
|
| 12
|
0-2-9-11
|
1-5/4-11/8-12/7
|
keenanismic
|
| 13
|
0-4-9-11
|
1-11/7-11/8-12/7
|
zeus
|
| 14
|
0-7-9-11
|
1-11/10-11/8-12/7
|
zeus
|
| 15
|
0-3-5-14
|
1-7/5-7/4-6/5
|
keenanismic
|
| 16
|
0-3-7-14
|
1-7/5-11/10-6/5
|
otonal
|
| 17
|
0-5-7-14
|
1-7/4-11/10-6/5
|
zeus
|
| 18
|
0-5-9-14
|
1-7/4-11/8-6/5
|
keenanismic
|
| 19
|
0-7-9-14
|
1-11/10-11/8-6/5
|
zeus
|
| 20
|
0-7-11-14
|
1-12/11-12/7-6/5
|
utonal
|
| 21
|
0-9-11-14
|
1-11/8-12/7-6/5
|
keenanismic
|
| 22
|
0-2-5-16
|
1-5/4-7/4-3/2
|
otonal
|
| 23
|
0-2-7-16
|
1-5/4-11/10-3/2
|
zeus
|
| 24
|
0-5-7-16
|
1-7/4-11/10-3/2
|
zeus
|
| 25
|
0-2-9-16
|
1-5/4-11/8-3/2
|
otonal
|
| 26
|
0-5-9-16
|
1-7/4-11/8-3/2
|
otonal
|
| 27
|
0-7-9-16
|
1-11/10-11/8-3/2
|
biyatismic
|
| 28
|
0-2-11-16
|
1-5/4-12/7-3/2
|
keenanismic
|
| 29
|
0-7-11-16
|
1-12/11-12/7-3/2
|
utonal
|
| 30
|
0-9-11-16
|
1-11/8-12/7-3/2
|
zeus
|
| 31
|
0-5-14-16
|
1-7/4-6/5-3/2
|
keenanismic
|
| 32
|
0-7-14-16
|
1-12/11-6/5-3/2
|
utonal
|
| 33
|
0-9-14-16
|
1-11/8-6/5-3/2
|
zeus
|
| 34
|
0-11-14-16
|
1-12/7-6/5-3/2
|
utonal
|
| 35
|
0-7-9-23
|
1-11/10-11/8-18/11
|
biyatismic
|
| 36
|
0-7-14-23
|
1-11/10-6/5-18/11
|
biyatismic
|
| 37
|
0-9-14-23
|
1-11/8-6/5-18/11
|
zeus
|
| 38
|
0-7-16-23
|
1-12/11-3/2-18/11
|
ambitonal
|
| 39
|
0-9-16-23
|
1-11/8-3/2-18/11
|
biyatismic
|
| 40
|
0-14-16-23
|
1-6/5-3/2-18/11
|
biyatismic
|
| 41
|
0-4-11-27
|
1-11/7-12/7-9/7
|
otonal
|
| 42
|
0-11-16-27
|
1-12/7-3/2-9/7
|
ambitonal
|
| 43
|
0-16-23-27
|
1-3/2-18/11-9/7
|
utonal
|
| 44
|
0-3-7-30
|
1-7/5-11/10-9/5
|
otonal
|
| 45
|
0-3-14-30
|
1-7/5-6/5-9/5
|
otonal
|
| 46
|
0-7-14-30
|
1-11/10-6/5-9/5
|
otonal
|
| 47
|
0-7-16-30
|
1-11/10-3/2-9/5
|
biyatismic
|
| 48
|
0-14-16-30
|
1-6/5-3/2-9/5
|
ambitonal
|
| 49
|
0-7-23-30
|
1-11/10-18/11-9/5
|
biyatismic
|
| 50
|
0-14-23-30
|
1-6/5-18/11-9/5
|
biyatismic
|
| 51
|
0-16-23-30
|
1-3/2-18/11-9/5
|
utonal
|
| 52
|
0-16-27-30
|
1-3/2-9/7-9/5
|
utonal
|
| 53
|
0-23-27-30
|
1-18/11-9/7-9/5
|
utonal
|
| 54
|
0-2-5-32
|
1-5/4-7/4-9/8
|
otonal
|
| 55
|
0-2-9-32
|
1-5/4-11/8-9/8
|
otonal
|
| 56
|
0-5-9-32
|
1-7/4-11/8-9/8
|
otonal
|
| 57
|
0-2-16-32
|
1-5/4-3/2-9/8
|
otonal
|
| 58
|
0-5-16-32
|
1-7/4-3/2-9/8
|
otonal
|
| 59
|
0-9-16-32
|
1-11/8-3/2-9/8
|
otonal
|
| 60
|
0-9-23-32
|
1-11/8-18/11-9/8
|
biyatismic
|
| 61
|
0-16-23-32
|
1-3/2-18/11-9/8
|
utonal
|
| 62
|
0-16-27-32
|
1-3/2-9/7-9/8
|
utonal
|
| 63
|
0-23-27-32
|
1-18/11-9/7-9/8
|
utonal
|
| 64
|
0-16-30-32
|
1-3/2-9/5-9/8
|
utonal
|
| 65
|
0-23-30-32
|
1-18/11-9/5-9/8
|
utonal
|
| 66
|
0-27-30-32
|
1-9/7-9/5-9/8
|
utonal
|
Pentads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-2-4-7-9
|
1-5/4-11/7-11/10-11/8
|
valinorsmic
|
| 2
|
0-2-5-7-9
|
1-5/4-7/4-11/10-11/8
|
valinorsmic
|
| 3
|
0-2-4-7-11
|
1-5/4-11/7-11/10-12/7
|
zeus
|
| 4
|
0-2-4-9-11
|
1-5/4-11/7-11/8-12/7
|
zeus
|
| 5
|
0-2-7-9-11
|
1-5/4-11/10-11/8-12/7
|
zeus
|
| 6
|
0-4-7-9-11
|
1-11/7-11/10-11/8-12/7
|
zeus
|
| 7
|
0-3-5-7-14
|
1-7/5-7/4-11/10-6/5
|
zeus
|
| 8
|
0-5-7-9-14
|
1-7/4-11/10-11/8-6/5
|
zeus
|
| 9
|
0-7-9-11-14
|
1-11/10-11/8-12/7-6/5
|
zeus
|
| 10
|
0-2-5-7-16
|
1-5/4-7/4-11/10-3/2
|
zeus
|
| 11
|
0-2-5-9-16
|
1-5/4-7/4-11/8-3/2
|
otonal
|
| 12
|
0-2-7-9-16
|
1-5/4-11/10-11/8-3/2
|
zeus
|
| 13
|
0-5-7-9-16
|
1-7/4-11/10-11/8-3/2
|
zeus
|
| 14
|
0-2-7-11-16
|
1-5/4-11/10-12/7-3/2
|
zeus
|
| 15
|
0-2-9-11-16
|
1-5/4-11/8-12/7-3/2
|
zeus
|
| 16
|
0-7-9-11-16
|
1-11/10-11/8-12/7-3/2
|
zeus
|
| 17
|
0-5-7-14-16
|
1-7/4-11/10-6/5-3/2
|
zeus
|
| 18
|
0-5-9-14-16
|
1-7/4-11/8-6/5-3/2
|
zeus
|
| 19
|
0-7-9-14-16
|
1-11/10-11/8-6/5-3/2
|
zeus
|
| 20
|
0-7-11-14-16
|
1-12/11-12/7-6/5-3/2
|
utonal
|
| 21
|
0-9-11-14-16
|
1-11/8-12/7-6/5-3/2
|
zeus
|
| 22
|
0-7-9-14-23
|
1-11/10-11/8-6/5-18/11
|
zeus
|
| 23
|
0-7-9-16-23
|
1-11/10-11/8-3/2-18/11
|
biyatismic
|
| 24
|
0-7-14-16-23
|
1-11/10-6/5-3/2-18/11
|
biyatismic
|
| 25
|
0-9-14-16-23
|
1-11/8-6/5-3/2-18/11
|
zeus
|
| 26
|
0-3-7-14-30
|
1-7/5-11/10-6/5-9/5
|
otonal
|
| 27
|
0-7-14-16-30
|
1-11/10-6/5-3/2-9/5
|
biyatismic
|
| 28
|
0-7-14-23-30
|
1-11/10-6/5-18/11-9/5
|
biyatismic
|
| 29
|
0-7-16-23-30
|
1-11/10-3/2-18/11-9/5
|
biyatismic
|
| 30
|
0-14-16-23-30
|
1-6/5-3/2-18/11-9/5
|
biyatismic
|
| 31
|
0-16-23-27-30
|
1-3/2-18/11-9/7-9/5
|
utonal
|
| 32
|
0-2-5-9-32
|
1-5/4-7/4-11/8-9/8
|
otonal
|
| 33
|
0-2-5-16-32
|
1-5/4-7/4-3/2-9/8
|
otonal
|
| 34
|
0-2-9-16-32
|
1-5/4-11/8-3/2-9/8
|
otonal
|
| 35
|
0-5-9-16-32
|
1-7/4-11/8-3/2-9/8
|
otonal
|
| 36
|
0-9-16-23-32
|
1-11/8-3/2-18/11-9/8
|
biyatismic
|
| 37
|
0-16-23-27-32
|
1-3/2-18/11-9/7-9/8
|
utonal
|
| 38
|
0-16-23-30-32
|
1-3/2-18/11-9/5-9/8
|
utonal
|
| 39
|
0-16-27-30-32
|
1-3/2-9/7-9/5-9/8
|
utonal
|
| 40
|
0-23-27-30-32
|
1-18/11-9/7-9/5-9/8
|
utonal
|
Hexads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-2-4-7-9-11
|
1-5/4-11/7-11/10-11/8-12/7
|
zeus
|
| 2
|
0-2-5-7-9-16
|
1-5/4-7/4-11/10-11/8-3/2
|
zeus
|
| 3
|
0-2-7-9-11-16
|
1-5/4-11/10-11/8-12/7-3/2
|
zeus
|
| 4
|
0-5-7-9-14-16
|
1-7/4-11/10-11/8-6/5-3/2
|
zeus
|
| 5
|
0-7-9-11-14-16
|
1-11/10-11/8-12/7-6/5-3/2
|
zeus
|
| 6
|
0-7-9-14-16-23
|
1-11/10-11/8-6/5-3/2-18/11
|
zeus
|
| 7
|
0-7-14-16-23-30
|
1-11/10-6/5-3/2-18/11-9/5
|
biyatismic
|
| 8
|
0-2-5-9-16-32
|
1-5/4-7/4-11/8-3/2-9/8
|
otonal
|
| 9
|
0-16-23-27-30-32
|
1-3/2-18/11-9/7-9/5-9/8
|
utonal
|