Chords of pajara

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This page lists all 11-odd-limit dyadic chords of 11-limit pajara temperament. Each chord listed has multiple inversions; only one is listed, which may not be the optimal voicing of the chord. Note that there are many common chords, such as the classical major seventh chord with ratios 8:10:12:15, which are not listed; in this case because 15/8 is not a ratio of the 11-odd-limit.

If a chord is essentially just, then it is classified as otonal if it is best analyzed in terms of the harmonic series, utonal if best analyzed in terms of the subharmonic series, and ambitonal if it is equally well analyzed with either.

Triads

#	Generators	Transversal	Type	Comments
1	0–0'–2	1–8/7–7/5
2	0–1–2	1–8/7–3/2
3	0–0'–2'	1–7/5–8/5
4	0–2–2'	1–8/7–8/5
5	0–0'–3	1–7/5–12/7
6	0–1–3	1–3/2–12/7
7	0–2–3	1–8/7–12/7
8	0–0'–3'	1–6/5–7/5
9	0–1–3'	1–6/5–3/2
10	0–2'–3'	1–6/5–8/5
11	0–3–3'	1–6/5–12/7
12	0–0'–4	1–9/7–7/5
13	0–1–4	1–9/7–3/2
14	0–2–4	1–8/7–9/7
15	0–2'–4	1–9/7–8/5
16	0–3–4	1–9/7–12/7
17	0–0'–4'	1–7/5–9/5
18	0–1–4'	1–3/2–9/5
19	0–2–4'	1–8/7–9/5
20	0–2'–4'	1–8/5–9/5
21	0–3'–4'	1–6/5–9/5
22	0–4–4'	1–9/7–9/5
23	0–2–6	1–8/7–16/11
24	0–2'–6	1–16/11–8/5
25	0–3–6	1–16/11–12/7
26	0–3'–6	1–6/5–16/11
27	0–4–6	1–9/7–16/11
28	0–4'–6	1–16/11–9/5
29	0–1–7	1–12/11–3/2
30	0–3–7	1–12/11–12/7
31	0–3'–7	1–12/11–6/5
32	0–4–7	1–12/11–9/7
33	0–4'–7	1–12/11–9/5
34	0–6–7	1–12/11–16/11
35	0–1–8	1–3/2–18/11
36	0–2–8	1–8/7–18/11
37	0–4–8	1–9/7–18/11
38	0–4'–8	1–18/11–9/5
39	0–6–8	1–16/11–18/11
40	0–7–8	1–12/11–18/11

Tetrads

#	Generators	Transversal	Type	Comments
1	0–0'–2–2'	1–8/7–7/5–8/5
2	0–0'–2–3	1–8/7–7/5–12/7
3	0–1–2–3	1–8/7–3/2–12/7
4	0–0'–2'–3'	1–6/5–7/5–8/5
5	0–0'–3–3'	1–6/5–7/5–12/7
6	0–1–3–3'	1–6/5–3/2–12/7
7	0–0'–2–4	1–8/7–9/7–7/5
8	0–1–2–4	1–8/7–9/7–3/2
9	0–0'–2'–4	1–9/7–7/5–8/5
10	0–2–2'–4	1–8/7–9/7–8/5
11	0–0'–3–4	1–9/7–7/5–12/7
12	0–1–3–4	1–9/7–3/2–12/7
13	0–2–3–4	1–8/7–9/7–12/7
14	0–0'–2–4'	1–8/7–7/5–9/5
15	0–1–2–4'	1–8/7–3/2–9/5
16	0–0'–2'–4'	1–7/5–8/5–9/5
17	0–2–2'–4'	1–8/7–8/5–9/5
18	0–0'–3'–4'	1–6/5–7/5–9/5
19	0–1–3'–4'	1–6/5–3/2–9/5
20	0–2'–3'–4'	1–6/5–8/5–9/5
21	0–0'–4–4'	1–9/7–7/5–9/5
22	0–1–4–4'	1–9/7–3/2–9/5
23	0–2–4–4'	1–8/7–9/7–9/5
24	0–2'–4–4'	1–9/7–8/5–9/5
25	0–2–2'–6	1–8/7–16/11–8/5
26	0–2–3–6	1–8/7–16/11–12/7
27	0–2'–3'–6	1–6/5–16/11–8/5
28	0–3–3'–6	1–6/5–16/11–12/7
29	0–2–4–6	1–8/7–9/7–16/11
30	0–2'–4–6	1–9/7–16/11–8/5
31	0–3–4–6	1–9/7–16/11–12/7
32	0–2–4'–6	1–8/7–16/11–9/5
33	0–2'–4'–6	1–16/11–8/5–9/5
34	0–3'–4'–6	1–6/5–16/11–9/5
35	0–4–4'–6	1–9/7–16/11–9/5
36	0–1–3–7	1–12/11–3/2–12/7
37	0–1–3'–7	1–12/11–6/5–3/2
38	0–3–3'–7	1–12/11–6/5–12/7
39	0–1–4–7	1–12/11–9/7–3/2
40	0–3–4–7	1–12/11–9/7–12/7
41	0–1–4'–7	1–12/11–3/2–9/5
42	0–3'–4'–7	1–12/11–6/5–9/5
43	0–4–4'–7	1–12/11–9/7–9/5
44	0–3–6–7	1–12/11–16/11–12/7
45	0–3'–6–7	1–12/11–6/5–16/11
46	0–4–6–7	1–12/11–9/7–16/11
47	0–4'–6–7	1–12/11–16/11–9/5
48	0–1–2–8	1–8/7–3/2–18/11
49	0–1–4–8	1–9/7–3/2–18/11
50	0–2–4–8	1–8/7–9/7–18/11
51	0–1–4'–8	1–3/2–18/11–9/5
52	0–2–4'–8	1–8/7–18/11–9/5
53	0–4–4'–8	1–9/7–18/11–9/5
54	0–2–6–8	1–8/7–16/11–18/11
55	0–4–6–8	1–9/7–16/11–18/11
56	0–4'–6–8	1–16/11–18/11–9/5
57	0–1–7–8	1–12/11–3/2–18/11
58	0–4–7–8	1–12/11–9/7–18/11
59	0–4'–7–8	1–12/11–18/11–9/5
60	0–6–7–8	1–12/11–16/11–18/11

Pentads

#	Generators	Transversal	Type	Comments
1	0–0'–2–2'–4	1–8/7–9/7–7/5–8/5
2	0–0'–2–3–4	1–8/7–9/7–7/5–12/7
3	0–1–2–3–4	1–8/7–9/7–3/2–12/7
4	0–0'–2–2'–4'	1–8/7–7/5–8/5–9/5
5	0–0'–2'–3'–4'	1–6/5–7/5–8/5–9/5
6	0–0'–2–4–4'	1–8/7–9/7–7/5–9/5
7	0–1–2–4–4'	1–8/7–9/7–3/2–9/5
8	0–0'–2'–4–4'	1–9/7–7/5–8/5–9/5
9	0–2–2'–4–4'	1–8/7–9/7–8/5–9/5
10	0–2–2'–4–6	1–8/7–9/7–16/11–8/5
11	0–2–3–4–6	1–8/7–9/7–16/11–12/7
12	0–2–2'–4'–6	1–8/7–16/11–8/5–9/5
13	0–2'–3'–4'–6	1–6/5–16/11–8/5–9/5
14	0–2–4–4'–6	1–8/7–9/7–16/11–9/5
15	0–2'–4–4'–6	1–9/7–16/11–8/5–9/5
16	0–1–3–3'–7	1–12/11–6/5–3/2–12/7
17	0–1–3–4–7	1–12/11–9/7–3/2–12/7
18	0–1–3'–4'–7	1–12/11–6/5–3/2–9/5
19	0–1–4–4'–7	1–12/11–9/7–3/2–9/5
20	0–3–3'–6–7	1–12/11–6/5–16/11–12/7
21	0–3–4–6–7	1–12/11–9/7–16/11–12/7
22	0–3'–4'–6–7	1–12/11–6/5–16/11–9/5
23	0–4–4'–6–7	1–12/11–9/7–16/11–9/5
24	0–1–2–4–8	1–8/7–9/7–3/2–18/11
25	0–1–2–4'–8	1–8/7–3/2–18/11–9/5
26	0–1–4–4'–8	1–9/7–3/2–18/11–9/5
27	0–2–4–4'–8	1–8/7–9/7–18/11–9/5
28	0–2–4–6–8	1–8/7–9/7–16/11–18/11
29	0–2–4'–6–8	1–8/7–16/11–18/11–9/5
30	0–4–4'–6–8	1–9/7–16/11–18/11–9/5
31	0–1–4–7–8	1–12/11–9/7–3/2–18/11
32	0–1–4'–7–8	1–12/11–3/2–18/11–9/5
33	0–4–4'–7–8	1–12/11–9/7–18/11–9/5
34	0–4–6–7–8	1–12/11–9/7–16/11–18/11
35	0–4'–6–7–8	1–12/11–16/11–18/11–9/5

Hexads

#	Generators	Transversal	Type	Comments
1	0–0'–2–2'–4–4'	1–8/7–9/7–7/5–8/5–9/5
2	0–2–2'–4–4'–6	1–8/7–9/7–16/11–8/5–9/5
3	0–1–2–4–4'–8	1–8/7–9/7–3/2–18/11–9/5
4	0–2–4–4'–6–8	1–8/7–9/7–16/11–18/11–9/5
5	0–1–4–4'–7–8	1–12/11–9/7–3/2–18/11–9/5
6	0–4–4'–6–7–8	1–12/11–9/7–16/11–18/11–9/5