95edo: Difference between revisions
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== Theory == | == Theory == | ||
{{Harmonics in equal|95}} | {{Harmonics in equal|95}} | ||
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 [[Sensamagic_family#Shrusus|shrusus temperament]]. 95 factors as 5*19. | 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 supports the rank 2 temperaments [[enneadecal]], [[magus]], [[gorgik]], [[octacot]], [[quinmite]], [[tetracot]] and [[trisedodge]]. | |||
It supports the rank 3 temperaments [[breed]], [[manwe]], [[octagari]], [[octarod]] and [[shrusus]]. | |||
It provides the optimal patent val for the rank 3 [[Sensamagic_family#Shrusus|shrusus temperament]]. | |||
95 factors as 5*19, so it contains both [[5edo]] and [[19edo]]. | |||
[[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> | [[Category:Equal divisions of the octave|##]] <!-- 2-digit number --> | ||
Revision as of 23:17, 5 January 2024
| ← 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 supports the rank 2 temperaments enneadecal, magus, gorgik, octacot, quinmite, tetracot and trisedodge.
It supports the rank 3 temperaments breed, manwe, octagari, octarod and shrusus.
It provides the optimal patent val for the rank 3 shrusus temperament.