95edo
The 95 equal temperament divides the octave into 12.632 cents each. It tempers out 245/243, 4000/3969 and 2401/2400 in the 7-limit, 1331/1323, 176/175, 6250/6237 and 4000/3993 in the 11-limit, and 196/195, 640/637, 325/324, 364/363, 847/845, 1001/1000 and 2200/2197 in the 13-limit. It provides the optimal patent val for the rank 3 shrusus temperament. 95 factors as 5*19.
Since 95edo has a step of 12.632 cents, it also allows one to use its MOS scales as circulating temperaments. As 5*19edo, it is also the first edo to have multiple circulating temperaments which reduce to other edos.
Tones | Pattern | L:s |
---|---|---|
5 | 5edo | equal |
6 | 5L 1s | 16:15 |
7 | 4L 3s | 14:13 |
8 | 7L 1s | 12:11 |
9 | 5L 4s | 11:10 |
10 | 5L 5s | 10:9 |
11 | 7L 4s | 9:8 |
12 | 11L 1s | 8:7 |
13 | 4L 9s | |
14 | 11L 3s | 7:6 |
15 | 3L 12s | |
16 | 15L 1s | 6:5 |
17 | 10L 7s | |
18 | 5L 13s | |
19 | 19edo | equal |
20 | 15L 5s | 5:4 |
21 | 11L 10s | |
22 | 7L 15s | |
23 | 3L 20s | |
24 | 23L 1s | 4:3 |
25 | 20L 5s | |
26 | 17L 9s | |
27 | 14L 13s | |
28 | 11L 17s | |
29 | 8L 21s | |
30 | 5L 25s | |
31 | 2L 29s | |
32 | 31L 1s | 3:2 |
33 | 29L 4s | |
34 | 27L 7s | |
35 | 25L 10s | |
36 | 23L 13s | |
37 | 21L 16s | |
38 | 19L 19s | |
39 | 17L 22s | |
40 | 15L 25s | |
41 | 13L 28s | |
42 | 11L 31s | |
43 | 9L 34s | |
44 | 7L 37s | |
45 | 5L 40s | |
46 | 3L 43s | |
47 | 1L 46s | |
48 | 47L 1s | 2:1 |
49 | 46L 3s | |
50 | 45L 5s | |
51 | 44L 7s | |
52 | 43L 9s | |
53 | 42L 11s | |
54 | 41L 13s | |
55 | 40L 15s | |
56 | 39L 17s | |
57 | 38L 19s | |
58 | 37L 21s | |
59 | 36L 23s | |
60 | 35L 25s | |
61 | 34L 27s | |
62 | 33L 29s | |
63 | 32L 31s | |
64 | 31L 33s | |
65 | 30L 35s | |
66 | 29L 37s | |
67 | 28L 39s | |
68 | 27L 41s | |
69 | 26L 43s | |
70 | 25L 45s | |
71 | 24L 47s | |
72 | 23L 49s | |
73 | 22L 51s | |
74 | 21L 53s | |
75 | 20L 55s |