Below are listed the dyadic chords of 11-limit hemiwürschmidt temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 540/539 are swetismic, by 441/440 werckismic, and by 243/242 rastmic. Chords requiring any two of the above are labeled jove.
Hemiwürschmidt has MOS of size 6, 7, 13, 19, 25, 31, 37 and 68. The largest chords on these lists have complexity 40, and so would require the 68 note MOS. However, it will be observed that much smaller MOS still have quite a few chords.
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
|
0-3-8
|
1-7/5-11/9
|
werckismic
|
| 4
|
0-5-8
|
1-7/4-11/9
|
werckismic
|
| 5
|
0-3-11
|
1-7/5-12/7
|
swetismic
|
| 6
|
0-8-11
|
1-11/9-12/7
|
swetismic
|
| 7
|
0-3-14
|
1-7/5-6/5
|
otonal
|
| 8
|
0-11-14
|
1-12/7-6/5
|
utonal
|
| 9
|
0-2-16
|
1-5/4-3/2
|
otonal
|
| 10
|
0-5-16
|
1-7/4-3/2
|
otonal
|
| 11
|
0-8-16
|
1-11/9-3/2
|
rastmic
|
| 12
|
0-11-16
|
1-12/7-3/2
|
utonal
|
| 13
|
0-14-16
|
1-6/5-3/2
|
utonal
|
| 14
|
0-8-24
|
1-11/9-11/6
|
utonal
|
| 15
|
0-16-24
|
1-3/2-11/6
|
otonal
|
| 16
|
0-3-27
|
1-7/5-9/7
|
swetismic
|
| 17
|
0-11-27
|
1-12/7-9/7
|
otonal
|
| 18
|
0-16-27
|
1-3/2-9/7
|
utonal
|
| 19
|
0-24-27
|
1-11/6-9/7
|
swetismic
|
| 20
|
0-3-30
|
1-7/5-9/5
|
otonal
|
| 21
|
0-14-30
|
1-6/5-9/5
|
otonal
|
| 22
|
0-16-30
|
1-3/2-9/5
|
utonal
|
| 23
|
0-27-30
|
1-9/7-9/5
|
utonal
|
| 24
|
0-2-32
|
1-5/4-9/8
|
otonal
|
| 25
|
0-5-32
|
1-7/4-9/8
|
otonal
|
| 26
|
0-8-32
|
1-11/9-9/8
|
rastmic
|
| 27
|
0-16-32
|
1-3/2-9/8
|
ambitonal
|
| 28
|
0-24-32
|
1-11/6-9/8
|
rastmic
|
| 29
|
0-27-32
|
1-9/7-9/8
|
utonal
|
| 30
|
0-30-32
|
1-9/5-9/8
|
utonal
|
| 31
|
0-3-35
|
1-7/5-11/7
|
werckismic
|
| 32
|
0-5-35
|
1-7/4-11/7
|
werckismic
|
| 33
|
0-8-35
|
1-11/9-11/7
|
utonal
|
| 34
|
0-11-35
|
1-12/7-11/7
|
otonal
|
| 35
|
0-24-35
|
1-11/6-11/7
|
utonal
|
| 36
|
0-27-35
|
1-9/7-11/7
|
otonal
|
| 37
|
0-30-35
|
1-9/5-11/7
|
werckismic
|
| 38
|
0-32-35
|
1-9/8-11/7
|
werckismic
|
| 39
|
0-3-38
|
1-7/5-11/10
|
otonal
|
| 40
|
0-8-38
|
1-11/9-11/10
|
utonal
|
| 41
|
0-11-38
|
1-12/7-11/10
|
swetismic
|
| 42
|
0-14-38
|
1-6/5-11/10
|
otonal
|
| 43
|
0-24-38
|
1-11/6-11/10
|
utonal
|
| 44
|
0-27-38
|
1-9/7-11/10
|
swetismic
|
| 45
|
0-30-38
|
1-9/5-11/10
|
otonal
|
| 46
|
0-35-38
|
1-11/7-11/10
|
utonal
|
| 47
|
0-2-40
|
1-5/4-11/8
|
otonal
|
| 48
|
0-5-40
|
1-7/4-11/8
|
otonal
|
| 49
|
0-8-40
|
1-11/9-11/8
|
utonal
|
| 50
|
0-16-40
|
1-3/2-11/8
|
otonal
|
| 51
|
0-24-40
|
1-11/6-11/8
|
utonal
|
| 52
|
0-32-40
|
1-9/8-11/8
|
otonal
|
| 53
|
0-35-40
|
1-11/7-11/8
|
utonal
|
| 54
|
0-38-40
|
1-11/10-11/8
|
utonal
|
Tetrads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-3-5-8
|
1-7/5-7/4-11/9
|
werckismic
|
| 2
|
0-3-8-11
|
1-7/5-11/9-12/7
|
jove
|
| 3
|
0-3-11-14
|
1-7/5-12/7-6/5
|
swetismic
|
| 4
|
0-2-5-16
|
1-5/4-7/4-3/2
|
otonal
|
| 5
|
0-5-8-16
|
1-7/4-11/9-3/2
|
jove
|
| 6
|
0-8-11-16
|
1-11/9-12/7-3/2
|
jove
|
| 7
|
0-11-14-16
|
1-12/7-6/5-3/2
|
utonal
|
| 8
|
0-8-16-24
|
1-11/9-3/2-11/6
|
rastmic
|
| 9
|
0-3-11-27
|
1-7/5-12/7-9/7
|
swetismic
|
| 10
|
0-11-16-27
|
1-12/7-3/2-9/7
|
ambitonal
|
| 11
|
0-16-24-27
|
1-3/2-11/6-9/7
|
swetismic
|
| 12
|
0-3-14-30
|
1-7/5-6/5-9/5
|
otonal
|
| 13
|
0-14-16-30
|
1-6/5-3/2-9/5
|
ambitonal
|
| 14
|
0-3-27-30
|
1-7/5-9/7-9/5
|
swetismic
|
| 15
|
0-16-27-30
|
1-3/2-9/7-9/5
|
utonal
|
| 16
|
0-2-5-32
|
1-5/4-7/4-9/8
|
otonal
|
| 17
|
0-5-8-32
|
1-7/4-11/9-9/8
|
jove
|
| 18
|
0-2-16-32
|
1-5/4-3/2-9/8
|
otonal
|
| 19
|
0-5-16-32
|
1-7/4-3/2-9/8
|
otonal
|
| 20
|
0-8-16-32
|
1-11/9-3/2-9/8
|
rastmic
|
| 21
|
0-8-24-32
|
1-11/9-11/6-9/8
|
rastmic
|
| 22
|
0-16-24-32
|
1-3/2-11/6-9/8
|
rastmic
|
| 23
|
0-16-27-32
|
1-3/2-9/7-9/8
|
utonal
|
| 24
|
0-24-27-32
|
1-11/6-9/7-9/8
|
jove
|
| 25
|
0-16-30-32
|
1-3/2-9/5-9/8
|
utonal
|
| 26
|
0-27-30-32
|
1-9/7-9/5-9/8
|
utonal
|
| 27
|
0-3-5-35
|
1-7/5-7/4-11/7
|
werckismic
|
| 28
|
0-3-8-35
|
1-7/5-11/9-11/7
|
werckismic
|
| 29
|
0-5-8-35
|
1-7/4-11/9-11/7
|
werckismic
|
| 30
|
0-3-11-35
|
1-7/5-12/7-11/7
|
jove
|
| 31
|
0-8-11-35
|
1-11/9-12/7-11/7
|
swetismic
|
| 32
|
0-8-24-35
|
1-11/9-11/6-11/7
|
utonal
|
| 33
|
0-3-27-35
|
1-7/5-9/7-11/7
|
jove
|
| 34
|
0-11-27-35
|
1-12/7-9/7-11/7
|
otonal
|
| 35
|
0-24-27-35
|
1-11/6-9/7-11/7
|
swetismic
|
| 36
|
0-3-30-35
|
1-7/5-9/5-11/7
|
werckismic
|
| 37
|
0-27-30-35
|
1-9/7-9/5-11/7
|
werckismic
|
| 38
|
0-5-32-35
|
1-7/4-9/8-11/7
|
werckismic
|
| 39
|
0-8-32-35
|
1-11/9-9/8-11/7
|
jove
|
| 40
|
0-24-32-35
|
1-11/6-9/8-11/7
|
jove
|
| 41
|
0-27-32-35
|
1-9/7-9/8-11/7
|
werckismic
|
| 42
|
0-30-32-35
|
1-9/5-9/8-11/7
|
werckismic
|
| 43
|
0-3-8-38
|
1-7/5-11/9-11/10
|
werckismic
|
| 44
|
0-3-11-38
|
1-7/5-12/7-11/10
|
swetismic
|
| 45
|
0-8-11-38
|
1-11/9-12/7-11/10
|
swetismic
|
| 46
|
0-3-14-38
|
1-7/5-6/5-11/10
|
otonal
|
| 47
|
0-11-14-38
|
1-12/7-6/5-11/10
|
swetismic
|
| 48
|
0-8-24-38
|
1-11/9-11/6-11/10
|
utonal
|
| 49
|
0-3-27-38
|
1-7/5-9/7-11/10
|
swetismic
|
| 50
|
0-11-27-38
|
1-12/7-9/7-11/10
|
swetismic
|
| 51
|
0-24-27-38
|
1-11/6-9/7-11/10
|
swetismic
|
| 52
|
0-3-30-38
|
1-7/5-9/5-11/10
|
otonal
|
| 53
|
0-14-30-38
|
1-6/5-9/5-11/10
|
otonal
|
| 54
|
0-27-30-38
|
1-9/7-9/5-11/10
|
swetismic
|
| 55
|
0-3-35-38
|
1-7/5-11/7-11/10
|
werckismic
|
| 56
|
0-8-35-38
|
1-11/9-11/7-11/10
|
utonal
|
| 57
|
0-11-35-38
|
1-12/7-11/7-11/10
|
swetismic
|
| 58
|
0-24-35-38
|
1-11/6-11/7-11/10
|
utonal
|
| 59
|
0-27-35-38
|
1-9/7-11/7-11/10
|
swetismic
|
| 60
|
0-30-35-38
|
1-9/5-11/7-11/10
|
werckismic
|
| 61
|
0-2-5-40
|
1-5/4-7/4-11/8
|
otonal
|
| 62
|
0-5-8-40
|
1-7/4-11/9-11/8
|
werckismic
|
| 63
|
0-2-16-40
|
1-5/4-3/2-11/8
|
otonal
|
| 64
|
0-5-16-40
|
1-7/4-3/2-11/8
|
otonal
|
| 65
|
0-8-16-40
|
1-11/9-3/2-11/8
|
rastmic
|
| 66
|
0-8-24-40
|
1-11/9-11/6-11/8
|
utonal
|
| 67
|
0-16-24-40
|
1-3/2-11/6-11/8
|
ambitonal
|
| 68
|
0-2-32-40
|
1-5/4-9/8-11/8
|
otonal
|
| 69
|
0-5-32-40
|
1-7/4-9/8-11/8
|
otonal
|
| 70
|
0-8-32-40
|
1-11/9-9/8-11/8
|
rastmic
|
| 71
|
0-16-32-40
|
1-3/2-9/8-11/8
|
otonal
|
| 72
|
0-24-32-40
|
1-11/6-9/8-11/8
|
rastmic
|
| 73
|
0-5-35-40
|
1-7/4-11/7-11/8
|
werckismic
|
| 74
|
0-8-35-40
|
1-11/9-11/7-11/8
|
utonal
|
| 75
|
0-24-35-40
|
1-11/6-11/7-11/8
|
utonal
|
| 76
|
0-32-35-40
|
1-9/8-11/7-11/8
|
werckismic
|
| 77
|
0-8-38-40
|
1-11/9-11/10-11/8
|
utonal
|
| 78
|
0-24-38-40
|
1-11/6-11/10-11/8
|
utonal
|
| 79
|
0-35-38-40
|
1-11/7-11/10-11/8
|
utonal
|
Pentads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-2-5-16-32
|
1-5/4-7/4-3/2-9/8
|
otonal
|
| 2
|
0-5-8-16-32
|
1-7/4-11/9-3/2-9/8
|
jove
|
| 3
|
0-8-16-24-32
|
1-11/9-3/2-11/6-9/8
|
rastmic
|
| 4
|
0-16-24-27-32
|
1-3/2-11/6-9/7-9/8
|
jove
|
| 5
|
0-16-27-30-32
|
1-3/2-9/7-9/5-9/8
|
utonal
|
| 6
|
0-3-5-8-35
|
1-7/5-7/4-11/9-11/7
|
werckismic
|
| 7
|
0-3-8-11-35
|
1-7/5-11/9-12/7-11/7
|
jove
|
| 8
|
0-3-11-27-35
|
1-7/5-12/7-9/7-11/7
|
jove
|
| 9
|
0-3-27-30-35
|
1-7/5-9/7-9/5-11/7
|
jove
|
| 10
|
0-5-8-32-35
|
1-7/4-11/9-9/8-11/7
|
jove
|
| 11
|
0-8-24-32-35
|
1-11/9-11/6-9/8-11/7
|
jove
|
| 12
|
0-24-27-32-35
|
1-11/6-9/7-9/8-11/7
|
jove
|
| 13
|
0-27-30-32-35
|
1-9/7-9/5-9/8-11/7
|
werckismic
|
| 14
|
0-3-8-11-38
|
1-7/5-11/9-12/7-11/10
|
jove
|
| 15
|
0-3-11-14-38
|
1-7/5-12/7-6/5-11/10
|
swetismic
|
| 16
|
0-3-11-27-38
|
1-7/5-12/7-9/7-11/10
|
swetismic
|
| 17
|
0-3-14-30-38
|
1-7/5-6/5-9/5-11/10
|
otonal
|
| 18
|
0-3-27-30-38
|
1-7/5-9/7-9/5-11/10
|
swetismic
|
| 19
|
0-3-8-35-38
|
1-7/5-11/9-11/7-11/10
|
werckismic
|
| 20
|
0-3-11-35-38
|
1-7/5-12/7-11/7-11/10
|
jove
|
| 21
|
0-8-11-35-38
|
1-11/9-12/7-11/7-11/10
|
swetismic
|
| 22
|
0-8-24-35-38
|
1-11/9-11/6-11/7-11/10
|
utonal
|
| 23
|
0-3-27-35-38
|
1-7/5-9/7-11/7-11/10
|
jove
|
| 24
|
0-11-27-35-38
|
1-12/7-9/7-11/7-11/10
|
swetismic
|
| 25
|
0-24-27-35-38
|
1-11/6-9/7-11/7-11/10
|
swetismic
|
| 26
|
0-3-30-35-38
|
1-7/5-9/5-11/7-11/10
|
werckismic
|
| 27
|
0-27-30-35-38
|
1-9/7-9/5-11/7-11/10
|
jove
|
| 28
|
0-2-5-16-40
|
1-5/4-7/4-3/2-11/8
|
otonal
|
| 29
|
0-5-8-16-40
|
1-7/4-11/9-3/2-11/8
|
jove
|
| 30
|
0-8-16-24-40
|
1-11/9-3/2-11/6-11/8
|
rastmic
|
| 31
|
0-2-5-32-40
|
1-5/4-7/4-9/8-11/8
|
otonal
|
| 32
|
0-5-8-32-40
|
1-7/4-11/9-9/8-11/8
|
jove
|
| 33
|
0-2-16-32-40
|
1-5/4-3/2-9/8-11/8
|
otonal
|
| 34
|
0-5-16-32-40
|
1-7/4-3/2-9/8-11/8
|
otonal
|
| 35
|
0-8-16-32-40
|
1-11/9-3/2-9/8-11/8
|
rastmic
|
| 36
|
0-8-24-32-40
|
1-11/9-11/6-9/8-11/8
|
rastmic
|
| 37
|
0-16-24-32-40
|
1-3/2-11/6-9/8-11/8
|
rastmic
|
| 38
|
0-5-8-35-40
|
1-7/4-11/9-11/7-11/8
|
werckismic
|
| 39
|
0-8-24-35-40
|
1-11/9-11/6-11/7-11/8
|
utonal
|
| 40
|
0-5-32-35-40
|
1-7/4-9/8-11/7-11/8
|
werckismic
|
| 41
|
0-8-32-35-40
|
1-11/9-9/8-11/7-11/8
|
jove
|
| 42
|
0-24-32-35-40
|
1-11/6-9/8-11/7-11/8
|
jove
|
| 43
|
0-8-24-38-40
|
1-11/9-11/6-11/10-11/8
|
utonal
|
| 44
|
0-8-35-38-40
|
1-11/9-11/7-11/10-11/8
|
utonal
|
| 45
|
0-24-35-38-40
|
1-11/6-11/7-11/10-11/8
|
utonal
|
Hexads
| Number
|
Chord
|
Transversal
|
Type
|
| 1
|
0-3-8-11-35-38
|
1-7/5-11/9-12/7-11/7-11/10
|
jove
|
| 2
|
0-3-11-27-35-38
|
1-7/5-12/7-9/7-11/7-11/10
|
jove
|
| 3
|
0-3-27-30-35-38
|
1-7/5-9/7-9/5-11/7-11/10
|
jove
|
| 4
|
0-2-5-16-32-40
|
1-5/4-7/4-3/2-9/8-11/8
|
otonal
|
| 5
|
0-5-8-16-32-40
|
1-7/4-11/9-3/2-9/8-11/8
|
jove
|
| 6
|
0-8-16-24-32-40
|
1-11/9-3/2-11/6-9/8-11/8
|
rastmic
|
| 7
|
0-5-8-32-35-40
|
1-7/4-11/9-9/8-11/7-11/8
|
jove
|
| 8
|
0-8-24-32-35-40
|
1-11/9-11/6-9/8-11/7-11/8
|
jove
|
| 9
|
0-8-24-35-38-40
|
1-11/9-11/6-11/7-11/10-11/8
|
utonal
|