95edo: Difference between revisions

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Revision as of 21:16, 18 April 2021

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.

Circulating temperaments in 95edo
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