Chords of semisept

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