95edo: Difference between revisions
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{{Infobox ET}} | |||
{{EDO intro|95}} | {{EDO intro|95}} | ||
Revision as of 18:44, 4 October 2022
| ← 94edo | 95edo | 96edo → |
Theory
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +5.41 | +5.27 | +3.81 | -1.80 | +4.47 | +5.79 | -1.95 | -3.90 | +5.64 | -3.41 | +3.30 |
| Relative (%) | +42.9 | +41.7 | +30.1 | -14.3 | +35.4 | +45.8 | -15.5 | -30.9 | +44.7 | -27.0 | +26.2 | |
| Steps (reduced) |
151 (56) |
221 (31) |
267 (77) |
301 (16) |
329 (44) |
352 (67) |
371 (86) |
388 (8) |
404 (24) |
417 (37) |
430 (50) | |
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.
Temperament properties
Since 95edo has a step of 12.632 ¢, 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, called superenneadecal.
| 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 |