Below are listed the dyadic chords of 11-limit harry temperament. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are swetismic, by 441/440 werckismicmic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.
The normal mapping for harry is har = [<2 4 7 7 9|, <0 -6 -17 -10 -15|]. From this we may derive a val v = har[1] - 100 har[2] = <2 604 1707 1007 1509| which we may use to sort and normalize the chords of harry. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.
Harry has MOS of size 14, 16, 30, 44, 58 and 72. It may be seen that 14 notes, and even more 16 notes, supply enough chords to be interesting. There is essentially no advantage in accuracy to optimizing for jove temperament rather than harry; in addition to what jove tempers out, harry tempers out 4000/3993. However, POTE tuning, for example, shrinks the three cents of this comma to -0.0827 cents, which is hardly worth worrying about. Hence harry is one way of exploring and organizing the chords of jove, which are therefore also listed below.
Triads
| Number
|
Chord
|
Transversal
|
Type
|
Complexity
|
| 1
|
0-201-401
|
1-9/7-7/6
|
swetismic
|
8
|
| 2
|
0-202-401
|
1-20/11-7/6
|
swetismic
|
8
|
| 3
|
0-202-501
|
1-20/11-10/9
|
utonal
|
10
|
| 4
|
0-301-501
|
1-11/9-10/9
|
otonal
|
10
|
| 5
|
0-201-502
|
1-9/7-11/7
|
otonal
|
10
|
| 6
|
0-301-502
|
1-11/9-11/7
|
utonal
|
10
|
| 7
|
0-201-602
|
1-9/7-3/2
|
utonal
|
12
|
| 8
|
0-301-602
|
1-11/9-3/2
|
rastmic
|
12
|
| 9
|
0-401-602
|
1-7/6-3/2
|
otonal
|
12
|
| 10
|
0-201-702
|
1-9/7-10/7
|
otonal
|
14
|
| 11
|
0-202-702
|
1-20/11-10/7
|
utonal
|
14
|
| 12
|
0-301-702
|
1-11/9-10/7
|
swetismic
|
14
|
| 13
|
0-401-702
|
1-7/6-10/7
|
swetismic
|
14
|
| 14
|
0-501-702
|
1-10/9-10/7
|
utonal
|
14
|
| 15
|
0-502-702
|
1-11/7-10/7
|
otonal
|
14
|
| 16
|
0-201-903
|
1-9/7-11/6
|
swetismic
|
18
|
| 17
|
0-301-903
|
1-11/9-11/6
|
utonal
|
18
|
| 18
|
0-401-903
|
1-7/6-11/6
|
otonal
|
18
|
| 19
|
0-502-903
|
1-11/7-11/6
|
utonal
|
18
|
| 20
|
0-602-903
|
1-3/2-11/6
|
otonal
|
18
|
| 21
|
0-702-903
|
1-10/7-11/6
|
swetismic
|
18
|
| 22
|
0-301-1003
|
1-11/9-7/4
|
werckismic
|
20
|
| 23
|
0-401-1003
|
1-7/6-7/4
|
utonal
|
20
|
| 24
|
0-501-1003
|
1-10/9-7/4
|
werckismic
|
20
|
| 25
|
0-502-1003
|
1-11/7-7/4
|
werckismic
|
20
|
| 26
|
0-602-1003
|
1-3/2-7/4
|
otonal
|
20
|
| 27
|
0-702-1003
|
1-10/7-7/4
|
werckismic
|
20
|
| 28
|
0-202-1103
|
1-20/11-5/3
|
utonal
|
22
|
| 29
|
0-401-1103
|
1-7/6-5/3
|
otonal
|
22
|
| 30
|
0-501-1103
|
1-10/9-5/3
|
utonal
|
22
|
| 31
|
0-602-1103
|
1-3/2-5/3
|
otonal
|
22
|
| 32
|
0-702-1103
|
1-10/7-5/3
|
utonal
|
22
|
| 33
|
0-903-1103
|
1-11/6-5/3
|
otonal
|
22
|
| 34
|
0-201-1202
|
1-9/7-9/8
|
utonal
|
24
|
| 35
|
0-301-1202
|
1-11/9-9/8
|
rastmic
|
24
|
| 36
|
0-502-1202
|
1-11/7-9/8
|
werckismic
|
24
|
| 37
|
0-602-1202
|
1-3/2-9/8
|
ambitonal
|
24
|
| 38
|
0-702-1202
|
1-10/7-9/8
|
werckismic
|
24
|
| 39
|
0-903-1202
|
1-11/6-9/8
|
rastmic
|
24
|
| 40
|
0-1003-1202
|
1-7/4-9/8
|
otonal
|
24
|
| 41
|
0-301-1503
|
1-11/9-11/8
|
utonal
|
30
|
| 42
|
0-502-1503
|
1-11/7-11/8
|
utonal
|
30
|
| 43
|
0-602-1503
|
1-3/2-11/8
|
otonal
|
30
|
| 44
|
0-903-1503
|
1-11/6-11/8
|
utonal
|
30
|
| 45
|
0-1003-1503
|
1-7/4-11/8
|
otonal
|
30
|
| 46
|
0-1202-1503
|
1-9/8-11/8
|
otonal
|
30
|
| 47
|
0-202-1703
|
1-20/11-5/4
|
utonal
|
34
|
| 48
|
0-501-1703
|
1-10/9-5/4
|
utonal
|
34
|
| 49
|
0-602-1703
|
1-3/2-5/4
|
otonal
|
34
|
| 50
|
0-702-1703
|
1-10/7-5/4
|
utonal
|
34
|
| 51
|
0-1003-1703
|
1-7/4-5/4
|
otonal
|
34
|
| 52
|
0-1103-1703
|
1-5/3-5/4
|
utonal
|
34
|
| 53
|
0-1202-1703
|
1-9/8-5/4
|
otonal
|
34
|
| 54
|
0-1503-1703
|
1-11/8-5/4
|
otonal
|
34
|
Tetrads
| Number
|
Chord
|
Transversal
|
Type
|
Complexity
|
| 1
|
0-201-401-602
|
1-9/7-7/6-3/2
|
swetismic
|
12
|
| 2
|
0-201-401-702
|
1-9/7-7/6-10/7
|
swetismic
|
14
|
| 3
|
0-202-401-702
|
1-20/11-7/6-10/7
|
swetismic
|
14
|
| 4
|
0-202-501-702
|
1-20/11-10/9-10/7
|
utonal
|
14
|
| 5
|
0-301-501-702
|
1-11/9-10/9-10/7
|
swetismic
|
14
|
| 6
|
0-201-502-702
|
1-9/7-11/7-10/7
|
otonal
|
14
|
| 7
|
0-301-502-702
|
1-11/9-11/7-10/7
|
swetismic
|
14
|
| 8
|
0-201-401-903
|
1-9/7-7/6-11/6
|
swetismic
|
18
|
| 9
|
0-201-502-903
|
1-9/7-11/7-11/6
|
swetismic
|
18
|
| 10
|
0-301-502-903
|
1-11/9-11/7-11/6
|
utonal
|
18
|
| 11
|
0-201-602-903
|
1-9/7-3/2-11/6
|
swetismic
|
18
|
| 12
|
0-301-602-903
|
1-11/9-3/2-11/6
|
rastmic
|
18
|
| 13
|
0-401-602-903
|
1-7/6-3/2-11/6
|
otonal
|
18
|
| 14
|
0-201-702-903
|
1-9/7-10/7-11/6
|
swetismic
|
18
|
| 15
|
0-301-702-903
|
1-11/9-10/7-11/6
|
swetismic
|
18
|
| 16
|
0-401-702-903
|
1-7/6-10/7-11/6
|
swetismic
|
18
|
| 17
|
0-502-702-903
|
1-11/7-10/7-11/6
|
swetismic
|
18
|
| 18
|
0-301-501-1003
|
1-11/9-10/9-7/4
|
werckismic
|
20
|
| 19
|
0-301-502-1003
|
1-11/9-11/7-7/4
|
werckismic
|
20
|
| 20
|
0-301-602-1003
|
1-11/9-3/2-7/4
|
jove
|
20
|
| 21
|
0-401-602-1003
|
1-7/6-3/2-7/4
|
ambitonal
|
20
|
| 22
|
0-301-702-1003
|
1-11/9-10/7-7/4
|
jove
|
20
|
| 23
|
0-401-702-1003
|
1-7/6-10/7-7/4
|
jove
|
20
|
| 24
|
0-501-702-1003
|
1-10/9-10/7-7/4
|
werckismic
|
20
|
| 25
|
0-502-702-1003
|
1-11/7-10/7-7/4
|
werckismic
|
20
|
| 26
|
0-202-401-1103
|
1-20/11-7/6-5/3
|
swetismic
|
22
|
| 27
|
0-202-501-1103
|
1-20/11-10/9-5/3
|
utonal
|
22
|
| 28
|
0-401-602-1103
|
1-7/6-3/2-5/3
|
otonal
|
22
|
| 29
|
0-202-702-1103
|
1-20/11-10/7-5/3
|
utonal
|
22
|
| 30
|
0-401-702-1103
|
1-7/6-10/7-5/3
|
swetismic
|
22
|
| 31
|
0-501-702-1103
|
1-10/9-10/7-5/3
|
utonal
|
22
|
| 32
|
0-401-903-1103
|
1-7/6-11/6-5/3
|
otonal
|
22
|
| 33
|
0-602-903-1103
|
1-3/2-11/6-5/3
|
otonal
|
22
|
| 34
|
0-702-903-1103
|
1-10/7-11/6-5/3
|
swetismic
|
22
|
| 35
|
0-201-502-1202
|
1-9/7-11/7-9/8
|
werckismic
|
24
|
| 36
|
0-301-502-1202
|
1-11/9-11/7-9/8
|
jove
|
24
|
| 37
|
0-201-602-1202
|
1-9/7-3/2-9/8
|
utonal
|
24
|
| 38
|
0-301-602-1202
|
1-11/9-3/2-9/8
|
rastmic
|
24
|
| 39
|
0-201-702-1202
|
1-9/7-10/7-9/8
|
werckismic
|
24
|
| 40
|
0-301-702-1202
|
1-11/9-10/7-9/8
|
jove
|
24
|
| 41
|
0-502-702-1202
|
1-11/7-10/7-9/8
|
werckismic
|
24
|
| 42
|
0-201-903-1202
|
1-9/7-11/6-9/8
|
jove
|
24
|
| 43
|
0-301-903-1202
|
1-11/9-11/6-9/8
|
rastmic
|
24
|
| 44
|
0-502-903-1202
|
1-11/7-11/6-9/8
|
jove
|
24
|
| 45
|
0-602-903-1202
|
1-3/2-11/6-9/8
|
rastmic
|
24
|
| 46
|
0-702-903-1202
|
1-10/7-11/6-9/8
|
jove
|
24
|
| 47
|
0-301-1003-1202
|
1-11/9-7/4-9/8
|
jove
|
24
|
| 48
|
0-502-1003-1202
|
1-11/7-7/4-9/8
|
werckismic
|
24
|
| 49
|
0-602-1003-1202
|
1-3/2-7/4-9/8
|
otonal
|
24
|
| 50
|
0-702-1003-1202
|
1-10/7-7/4-9/8
|
werckismic
|
24
|
| 51
|
0-301-502-1503
|
1-11/9-11/7-11/8
|
utonal
|
30
|
| 52
|
0-301-602-1503
|
1-11/9-3/2-11/8
|
rastmic
|
30
|
| 53
|
0-301-903-1503
|
1-11/9-11/6-11/8
|
utonal
|
30
|
| 54
|
0-502-903-1503
|
1-11/7-11/6-11/8
|
utonal
|
30
|
| 55
|
0-602-903-1503
|
1-3/2-11/6-11/8
|
ambitonal
|
30
|
| 56
|
0-301-1003-1503
|
1-11/9-7/4-11/8
|
werckismic
|
30
|
| 57
|
0-502-1003-1503
|
1-11/7-7/4-11/8
|
werckismic
|
30
|
| 58
|
0-602-1003-1503
|
1-3/2-7/4-11/8
|
otonal
|
30
|
| 59
|
0-301-1202-1503
|
1-11/9-9/8-11/8
|
rastmic
|
30
|
| 60
|
0-502-1202-1503
|
1-11/7-9/8-11/8
|
werckismic
|
30
|
| 61
|
0-602-1202-1503
|
1-3/2-9/8-11/8
|
otonal
|
30
|
| 62
|
0-903-1202-1503
|
1-11/6-9/8-11/8
|
rastmic
|
30
|
| 63
|
0-1003-1202-1503
|
1-7/4-9/8-11/8
|
otonal
|
30
|
| 64
|
0-202-501-1703
|
1-20/11-10/9-5/4
|
utonal
|
34
|
| 65
|
0-202-702-1703
|
1-20/11-10/7-5/4
|
utonal
|
34
|
| 66
|
0-501-702-1703
|
1-10/9-10/7-5/4
|
utonal
|
34
|
| 67
|
0-501-1003-1703
|
1-10/9-7/4-5/4
|
werckismic
|
34
|
| 68
|
0-602-1003-1703
|
1-3/2-7/4-5/4
|
otonal
|
34
|
| 69
|
0-702-1003-1703
|
1-10/7-7/4-5/4
|
werckismic
|
34
|
| 70
|
0-202-1103-1703
|
1-20/11-5/3-5/4
|
utonal
|
34
|
| 71
|
0-501-1103-1703
|
1-10/9-5/3-5/4
|
utonal
|
34
|
| 72
|
0-602-1103-1703
|
1-3/2-5/3-5/4
|
ambitonal
|
34
|
| 73
|
0-702-1103-1703
|
1-10/7-5/3-5/4
|
utonal
|
34
|
| 74
|
0-602-1202-1703
|
1-3/2-9/8-5/4
|
otonal
|
34
|
| 75
|
0-702-1202-1703
|
1-10/7-9/8-5/4
|
werckismic
|
34
|
| 76
|
0-1003-1202-1703
|
1-7/4-9/8-5/4
|
otonal
|
34
|
| 77
|
0-602-1503-1703
|
1-3/2-11/8-5/4
|
otonal
|
34
|
| 78
|
0-1003-1503-1703
|
1-7/4-11/8-5/4
|
otonal
|
34
|
| 79
|
0-1202-1503-1703
|
1-9/8-11/8-5/4
|
otonal
|
34
|
Pentads
| Number
|
Chord
|
Transversal
|
Type
|
Complexity
|
| 1
|
0-201-401-602-903
|
1-9/7-7/6-3/2-11/6
|
swetismic
|
18
|
| 2
|
0-201-401-702-903
|
1-9/7-7/6-10/7-11/6
|
swetismic
|
18
|
| 3
|
0-201-502-702-903
|
1-9/7-11/7-10/7-11/6
|
swetismic
|
18
|
| 4
|
0-301-502-702-903
|
1-11/9-11/7-10/7-11/6
|
swetismic
|
18
|
| 5
|
0-301-501-702-1003
|
1-11/9-10/9-10/7-7/4
|
jove
|
20
|
| 6
|
0-301-502-702-1003
|
1-11/9-11/7-10/7-7/4
|
jove
|
20
|
| 7
|
0-202-401-702-1103
|
1-20/11-7/6-10/7-5/3
|
swetismic
|
22
|
| 8
|
0-202-501-702-1103
|
1-20/11-10/9-10/7-5/3
|
utonal
|
22
|
| 9
|
0-401-602-903-1103
|
1-7/6-3/2-11/6-5/3
|
otonal
|
22
|
| 10
|
0-401-702-903-1103
|
1-7/6-10/7-11/6-5/3
|
swetismic
|
22
|
| 11
|
0-201-502-702-1202
|
1-9/7-11/7-10/7-9/8
|
werckismic
|
24
|
| 12
|
0-301-502-702-1202
|
1-11/9-11/7-10/7-9/8
|
jove
|
24
|
| 13
|
0-201-502-903-1202
|
1-9/7-11/7-11/6-9/8
|
jove
|
24
|
| 14
|
0-301-502-903-1202
|
1-11/9-11/7-11/6-9/8
|
jove
|
24
|
| 15
|
0-201-602-903-1202
|
1-9/7-3/2-11/6-9/8
|
jove
|
24
|
| 16
|
0-301-602-903-1202
|
1-11/9-3/2-11/6-9/8
|
rastmic
|
24
|
| 17
|
0-201-702-903-1202
|
1-9/7-10/7-11/6-9/8
|
jove
|
24
|
| 18
|
0-301-702-903-1202
|
1-11/9-10/7-11/6-9/8
|
jove
|
24
|
| 19
|
0-502-702-903-1202
|
1-11/7-10/7-11/6-9/8
|
jove
|
24
|
| 20
|
0-301-502-1003-1202
|
1-11/9-11/7-7/4-9/8
|
jove
|
24
|
| 21
|
0-301-602-1003-1202
|
1-11/9-3/2-7/4-9/8
|
jove
|
24
|
| 22
|
0-301-702-1003-1202
|
1-11/9-10/7-7/4-9/8
|
jove
|
24
|
| 23
|
0-502-702-1003-1202
|
1-11/7-10/7-7/4-9/8
|
werckismic
|
24
|
| 24
|
0-301-502-903-1503
|
1-11/9-11/7-11/6-11/8
|
utonal
|
30
|
| 25
|
0-301-602-903-1503
|
1-11/9-3/2-11/6-11/8
|
rastmic
|
30
|
| 26
|
0-301-502-1003-1503
|
1-11/9-11/7-7/4-11/8
|
werckismic
|
30
|
| 27
|
0-301-602-1003-1503
|
1-11/9-3/2-7/4-11/8
|
jove
|
30
|
| 28
|
0-301-502-1202-1503
|
1-11/9-11/7-9/8-11/8
|
jove
|
30
|
| 29
|
0-301-602-1202-1503
|
1-11/9-3/2-9/8-11/8
|
rastmic
|
30
|
| 30
|
0-301-903-1202-1503
|
1-11/9-11/6-9/8-11/8
|
rastmic
|
30
|
| 31
|
0-502-903-1202-1503
|
1-11/7-11/6-9/8-11/8
|
jove
|
30
|
| 32
|
0-602-903-1202-1503
|
1-3/2-11/6-9/8-11/8
|
rastmic
|
30
|
| 33
|
0-301-1003-1202-1503
|
1-11/9-7/4-9/8-11/8
|
jove
|
30
|
| 34
|
0-502-1003-1202-1503
|
1-11/7-7/4-9/8-11/8
|
werckismic
|
30
|
| 35
|
0-602-1003-1202-1503
|
1-3/2-7/4-9/8-11/8
|
otonal
|
30
|
| 36
|
0-202-501-702-1703
|
1-20/11-10/9-10/7-5/4
|
utonal
|
34
|
| 37
|
0-501-702-1003-1703
|
1-10/9-10/7-7/4-5/4
|
werckismic
|
34
|
| 38
|
0-202-501-1103-1703
|
1-20/11-10/9-5/3-5/4
|
utonal
|
34
|
| 39
|
0-202-702-1103-1703
|
1-20/11-10/7-5/3-5/4
|
utonal
|
34
|
| 40
|
0-501-702-1103-1703
|
1-10/9-10/7-5/3-5/4
|
utonal
|
34
|
| 41
|
0-602-1003-1202-1703
|
1-3/2-7/4-9/8-5/4
|
otonal
|
34
|
| 42
|
0-702-1003-1202-1703
|
1-10/7-7/4-9/8-5/4
|
werckismic
|
34
|
| 43
|
0-602-1003-1503-1703
|
1-3/2-7/4-11/8-5/4
|
otonal
|
34
|
| 44
|
0-602-1202-1503-1703
|
1-3/2-9/8-11/8-5/4
|
otonal
|
34
|
| 45
|
0-1003-1202-1503-1703
|
1-7/4-9/8-11/8-5/4
|
otonal
|
34
|
Hexads
| Number
|
Chord
|
Transversal
|
Type
|
Complexity
|
| 1
|
0-201-502-702-903-1202
|
1-9/7-11/7-10/7-11/6-9/8
|
jove
|
24
|
| 2
|
0-301-502-702-903-1202
|
1-11/9-11/7-10/7-11/6-9/8
|
jove
|
24
|
| 3
|
0-301-502-702-1003-1202
|
1-11/9-11/7-10/7-7/4-9/8
|
jove
|
24
|
| 4
|
0-301-502-903-1202-1503
|
1-11/9-11/7-11/6-9/8-11/8
|
jove
|
30
|
| 5
|
0-301-602-903-1202-1503
|
1-11/9-3/2-11/6-9/8-11/8
|
rastmic
|
30
|
| 6
|
0-301-502-1003-1202-1503
|
1-11/9-11/7-7/4-9/8-11/8
|
jove
|
30
|
| 7
|
0-301-602-1003-1202-1503
|
1-11/9-3/2-7/4-9/8-11/8
|
jove
|
30
|
| 8
|
0-202-501-702-1103-1703
|
1-20/11-10/9-10/7-5/3-5/4
|
utonal
|
34
|
| 9
|
0-602-1003-1202-1503-1703
|
1-3/2-7/4-9/8-11/8-5/4
|
otonal
|
34
|