Chords of superpyth

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Below are listed the 11-odd-limit dyadic chords of 11-limit superpyth temperament. Typing the chords requires consideration of the fact that superpyth conflates 9/8 with 8/7, and 11/10 with 10/9. If a transversal can be found which shows the chord to be essentially just, that transversal is listed along with a typing as otonal, utonal, or ambitonal. If the chord is essentially tempered, it is analyzed in terms of the transversal that employs 8/7 and 10/9.

Chords essentially tempered by 64/63 are labeled archytas, by 100/99 ptolemismic, by 176/175 valinorsmic, by 245/243 sensamagic, by 540/539 swetismic. Chords that require any two of 64/63, 100/99 and 176/175 tempering are marked ares. Chords that require any two of 100/99, 245/243 and 540/539 tempering are marked octarod. Chords that require 176/175 and 540/539 tempering are marked guanyin.

Triads

#	Generators	Transversal	Type
1	0–1–2	1–9/8–3/2	ambitonal
2	0–1–3	1–3/2–12/7	utonal
3	0–2–3	1–8/7–12/7	otonal
4	0–1–4	1–9/7–3/2	utonal
5	0–2–4	1–8/7–9/7	ambitonal
6	0–3–4	1–9/7–12/7	otonal
7	0–3–7	1–10/9–12/7	sensamagic
8	0–4–7	1–10/9–9/7	sensamagic
9	0–1–8	1–3/2–5/3	otonal
10	0–4–8	1–9/7–5/3	sensamagic
11	0–7–8	1–10/9–5/3	utonal
12	0–1–9	1–5/4–3/2	otonal
13	0–2–9	1–9/8–5/4	otonal
14	0–7–9	1–10/9–5/4	utonal
15	0–8–9	1–5/4–5/3	utonal
16	0–2–11	1–8/7–10/7
17	0–3–11	1–12/7–10/7
18	0–4–11	1–9/7–10/7
19	0–7–11	1–10/9–10/7
20	0–8–11	1–5/3–10/7
21	0–9–11	1–5/4–10/7
22	0–3–14	1–12/7–11/9
23	0–7–14	1–10/9–11/9
24	0–11–14	1–10/7–11/9
25	0–1–15	1–3/2–11/6
26	0–4–15	1–9/7–11/6
27	0–7–15	1–10/9–11/6
28	0–8–15	1–5/3–11/6
29	0–11–15	1–10/7–11/6
30	0–14–15	1–11/9–11/6
31	0–1–16	1–3/2–11/8	otonal
32	0–2–16	1–9/8–11/8	otonal
33	0–7–16	1–11/10–11/8	utonal
34	0–8–16	1–5/3–11/8	ptolemismic
35	0–9–16	1–5/4–11/8	otonal
36	0–14–16	1–11/9–11/8	utonal
37	0–15–16	1–11/6–11/8	utonal
38	0–2–18	1–8/7–11/7
39	0–3–18	1–12/7–11/7
40	0–4–18	1–9/7–11/7
41	0–7–18	1–10/9–11/7
42	0–9–18	1–5/4–11/7
43	0–11–18	1–10/7–11/7
44	0–14–18	1–11/9–11/7
45	0–15–18	1–11/6–11/7
46	0–16–18	1–11/8–11/7

Tetrads

#	Generators	Transversal	Type
1		1–3/2–8/7–12/7
2		1–3/2–8/7–9/7
3		1–3/2–12/7–9/7
4		1–8/7–12/7–9/7
5		1–12/7–9/7–10/9
6		1–3/2–9/7–5/3
7		1–9/7–10/9–5/3
8		1–3/2–8/7–5/4
9		1–3/2–5/3–5/4
10		1–10/9–5/3–5/4
11		1–8/7–12/7–10/7
12		1–8/7–9/7–10/7
13		1–12/7–9/7–10/7
14		1–12/7–10/9–10/7
15		1–9/7–10/9–10/7
16		1–9/7–5/3–10/7
17		1–10/9–5/3–10/7
18		1–8/7–5/4–10/7
19		1–10/9–5/4–10/7
20		1–5/3–5/4–10/7
21		1–12/7–10/9–11/9
22		1–12/7–10/7–11/9
23		1–10/9–10/7–11/9
24		1–3/2–9/7–11/6
25		1–9/7–10/9–11/6
26		1–3/2–5/3–11/6
27		1–9/7–5/3–11/6
28		1–10/9–5/3–11/6
29		1–9/7–10/7–11/6
30		1–10/9–10/7–11/6
31		1–5/3–10/7–11/6
32		1–10/9–11/9–11/6
33		1–10/7–11/9–11/6
34		1–3/2–8/7–11/8
35		1–3/2–5/3–11/8
36		1–10/9–5/3–11/8
37		1–3/2–5/4–11/8
38		1–8/7–5/4–11/8
39		1–10/9–5/4–11/8
40		1–5/3–5/4–11/8
41		1–10/9–11/9–11/8
42		1–3/2–11/6–11/8
43		1–10/9–11/6–11/8
44		1–5/3–11/6–11/8
45		1–11/9–11/6–11/8
46		1–8/7–12/7–11/7
47		1–8/7–9/7–11/7
48		1–12/7–9/7–11/7
49		1–12/7–10/9–11/7
50		1–9/7–10/9–11/7
51		1–8/7–5/4–11/7
52		1–10/9–5/4–11/7
53		1–8/7–10/7–11/7
54		1–12/7–10/7–11/7
55		1–9/7–10/7–11/7
56		1–10/9–10/7–11/7
57		1–5/4–10/7–11/7
58		1–12/7–11/9–11/7
59		1–10/9–11/9–11/7
60		1–10/7–11/9–11/7
61		1–9/7–11/6–11/7
62		1–10/9–11/6–11/7
63		1–10/7–11/6–11/7
64		1–11/9–11/6–11/7
65		1–8/7–11/8–11/7
66		1–10/9–11/8–11/7
67		1–5/4–11/8–11/7
68		1–11/9–11/8–11/7
69		1–11/6–11/8–11/7

Pentads

#	Generators	Transversal	Type
1		1–3/2–8/7–12/7–9/7
2		1–8/7–12/7–9/7–10/7
3		1–12/7–9/7–10/9–10/7
4		1–9/7–10/9–5/3–10/7
5		1–10/9–5/3–5/4–10/7
6		1–12/7–10/9–10/7–11/9
7		1–3/2–9/7–5/3–11/6
8		1–9/7–10/9–5/3–11/6
9		1–9/7–10/9–10/7–11/6
10		1–9/7–5/3–10/7–11/6
11		1–10/9–5/3–10/7–11/6
12		1–10/9–10/7–11/9–11/6
13		1–3/2–8/7–5/4–11/8
14		1–3/2–5/3–5/4–11/8
15		1–10/9–5/3–5/4–11/8
16		1–3/2–5/3–11/6–11/8
17		1–10/9–5/3–11/6–11/8
18		1–10/9–11/9–11/6–11/8
19		1–8/7–12/7–9/7–11/7
20		1–12/7–9/7–10/9–11/7
21		1–8/7–12/7–10/7–11/7
22		1–8/7–9/7–10/7–11/7
23		1–12/7–9/7–10/7–11/7
24		1–12/7–10/9–10/7–11/7
25		1–9/7–10/9–10/7–11/7
26		1–8/7–5/4–10/7–11/7
27		1–10/9–5/4–10/7–11/7
28		1–12/7–10/9–11/9–11/7
29		1–12/7–10/7–11/9–11/7
30		1–10/9–10/7–11/9–11/7
31		1–9/7–10/9–11/6–11/7
32		1–9/7–10/7–11/6–11/7
33		1–10/9–10/7–11/6–11/7
34		1–10/9–11/9–11/6–11/7
35		1–10/7–11/9–11/6–11/7
36		1–8/7–5/4–11/8–11/7
37		1–10/9–5/4–11/8–11/7
38		1–10/9–11/9–11/8–11/7
39		1–10/9–11/6–11/8–11/7
40		1–11/9–11/6–11/8–11/7

Hexads

#	Generators	Transversal	Type
1	0–4–7–8–11–15	1–9/7–10/9–5/3–10/7–11/6
2	0–2–3–4–11–18	1–8/7–9/7–10/7–11/7–12/7	otonal
3	0–3–4–7–11–18	1–12/7–9/7–10/9–10/7–11/7
4	0–3–7–11–14–18	1–12/7–10/9–10/7–11/9–11/7
5	0–4–7–11–15–18	1–9/7–10/9–10/7–11/6–11/7
6	0–7–11–14–15–18	1–10/9–10/7–11/9–11/6–11/7
7	0–7–14–15–16–18	1–11/10–11/9–11/8–11/7–11/6	utonal