11ed13/9

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11ed13/9

12ed13/9 →

Prime factorization	11 (prime)
Step size	57.8743¢
Octave	21\11ed13/9 (1215.36¢)
Twelfth	33\11ed13/9 (1909.85¢) (→3\1ed13/9)
Consistency limit	3
Distinct consistency limit	2

11ED13/9 is the equal division of the tridecimal high tritone (13/9) into eleven parts of 57.8743 cents each, corresponding to 20.7346 edo. It is related to 13-limit temperaments which temper out 10648/10647, 41503/41472, and 59535/59488.

Intervals

degree	cents value	ratio
0	0.0000	1/1
1	57.8743	(13/9)1/11
2	115.7487	(13/9)2/11
3	173.6230	(13/9)3/11
4	231.4973	(13/9)4/11
5	289.3717	(13/9)5/11
6	347.2460	(13/9)6/11
7	405.1203	(13/9)7/11
8	462.9947	(13/9)8/11
9	520.8690	(13/9)9/11
10	578.7433	(13/9)10/11
11	636.6177	13/9
12	694.4920	(13/9)12/11
13	752.3663	(13/9)13/11
14	810.2407	(13/9)14/11
15	868.1150	(13/9)15/11
16	925.9893	(13/9)16/11
17	983.8637	(13/9)17/11
18	1041.7380	(13/9)18/11
19	1099.6123	(13/9)19/11
20	1157.4867	(13/9)20/11
21	1215.3610	(13/9)21/11
22	1273.2353	(13/9)2 = 169/81
23	1331.1097	(13/9)23/11
24	1388.9840	(13/9)24/11
25	1446.8583	(13/9)25/11
26	1504.7327	(13/9)26/11
27	1562.6070	(13/9)27/11
28	1620.4813	(13/9)28/11
29	1678.3556	(13/9)29/11
30	1736.2300	(13/9)30/11
31	1794.1043	(13/9)31/11
32	1851.9786	(13/9)32/11
33	1909.8530	(13/9)3 = 2197/729
34	1967.7273	(13/9)34/11
35	2025.6016	(13/9)35/11
36	2083.4760	(13/9)36/11
37	2141.3503	(13/9)37/11
38	2199.2246	(13/9)38/11
39	2257.0990	(13/9)39/11
40	2314.9733	(13/9)40/11
41	2372.8476	(13/9)41/11
42	2430.7220	(13/9)42/11
43	2488.5963	(13/9)43/11
44	2546.4706	(13/9)4 = 28561/6561
45	2604.3450	(13/9)45/11
46	2662.2193	(13/9)46/11
47	2720.0936	(13/9)47/11
48	2777.9680	(13/9)48/11
49	2835.8423	(13/9)49/11
50	2893.7166	(13/9)50/11
51	2951.5910	(13/9)51/11
52	3009.4653	(13/9)52/11
53	3067.3396	(13/9)53/11
54	3125.2140	(13/9)54/11
55	3183.0883	(13/9)5 = 371293/59049
56	3240.9626	(13/9)56/11
57	3298.8370	(13/9)57/11
58	3356.7113	(13/9)58/11
59	3414.5856	(13/9)59/11
60	3472.4600	(13/9)60/11
61	3530.3343	(13/9)61/11
62	3588.2086	(13/9)62/11
63	3646.0830	(13/9)63/11
64	3703.9573	(13/9)64/11
65	3761.8316	(13/9)65/11
66	3819.7060	(13/9)6 = 4826809/531441
67	3877.5803	(13/9)67/11
68	3935.4546	(13/9)68/11
69	3993.3290	(13/9)69/11
70	4051.2033	(13/9)70/11
71	4109.0776	(13/9)71/11
72	4166.9520	(13/9)72/11
73	4224.8263	(13/9)73/11
74	4282.7006	(13/9)74/11
75	4340.5750	(13/9)75/11
76	4398.4493	(13/9)76/11
77	4456.3236	(13/9)7 = 62748517/4782969
78	4514.1980	(13/9)78/11
79	4572.0723	(13/9)79/11
80	4629.9466	(13/9)80/11
81	4687.8210	(13/9)81/11
82	4745.6953	(13/9)82/11
83	4803.5696	(13/9)83/11
84	4861.4439	(13/9)84/11
85	4919.3183	(13/9)85/11
86	4977.1926	(13/9)86/11
87	5035.0669	(13/9)87/11
88	5092.9413	(13/9)8 = 815730721/43046721

Related temperaments

13-limit 166&311&373

Commas: 10648/10647, 41503/41472, 59535/59488

POTE generators: ~3/2 = 701.805, ~91/88 = 57.897

Mapping: [<1 0 -1 3 0 0|, <0 1 1 0 2 2|, <0 0 36 -4 6 11|]

EDOs: 62, 145, 166, 207, 311, 373, 518, 684, 829

13-limit 166&311

Commas: 1575/1573, 2080/2079, 2200/2197, 35035/34992

POTE generator: 571.061

Mapping: [<1 23 58 -1 52 57|, <0 -45 -117 8 -102 -112|]

EDOs: 145, 166, 311, 456f, 477c

Badness: 0.0401