115edo

115edo is the equal division of the octave into 115 parts of 10.4348 cents each. It tempers out 1594323/1562500 (unicorn comma) and 2109375/2097152 (semicomma) in the 5-limit, as well as 43046721/41943040 and 30958682112/30517578125 (trisedodge comma); 225/224, 1728/1715, and 9920232/9765625 in the 7-limit. 115edo supports the newspeak temperament, tempering out 441/440, 1375/1372, and 1944/1925 in the 11-limit. The wizardharry comma, 4000/3993 is also tempered out in 115edo.

Since 115edo has a step of 10.4348 cents, it also allows one to use its MOS scales as circulating temperaments.

Circulating temperaments in 115edo

Tones	Pattern	L:s
5	5edo	equal
6	1L 5s	20:19
7	3L 4s	17:16
8	2L 6s	15:14
9	7L 2s	13:12
10	5L 5s	12:11
11	5L 6s	11:10
12	7L 5s	10:9
13	11L 2s	9:8
14	3L 11s
15	10L 5s	8:7
16	3L 13s
17	13L 4s	7:6
18	7L 11s
19	1L 18s
20	15L 5s	6:5
21	10L 11s
22	5L 17s
23	23edo	equal
24	19L 5s	5:4
25	15L 10s
26	11L 15s
27	7L 20s
28	3L 25s
29	28L 1s	4:3
30	25L 5s
31	22L 9s
32	19L 13s
33	16L 17s
34	13L 21s
35	10L 25s
36	7L 29s
37	4L 33s
38	1L 37s
39	37L 2s	3:2
40	35L 5s
41	33L 8s
42	31L 11s
43	29L 14s
44	27L 17s
45	25L 20s
46	23L 23s
47	21L 26s
48	19L 29s
49	17L 32s
50	15L 35s
51	13L 38s
52	11L 41s
53	9L 44s
54	7L 47s
55	5L 50s
56	3L 53s
57	1L 56s
58	57L 1s	2:1
59	56L 3s
60	55L 5s
61	54L 7s
62	53L 9s
63	52L 11s
64	51L 13s
65	50L 15s
66	49L 17s
67	48L 19s
68	47L 21s
69	46L 23s
70	45L 25s
71	44L 27s
72	43L 29s
73	42L 31s
74	41L 33s
75	40L 35s
76	39L 37s
77	38L 39s
78	37L 41s
79	36L 43s
80	35L 45s
81	34L 47s
82	33L 49s
83	32L 51s
84	31L 53s
85	30L 55s
86	29L 57s
87	28L 59s
88	27L 61s
89	26L 63s
90	25L 65s
91	24L 67s