95edo

Revision as of 01:42, 4 January 2024 by BudjarnLambeth (talk | contribs) (Marked as stub)
← 94edo 95edo 96edo →
Prime factorization 5 × 19
Step size 12.6316 ¢ 
Fifth 56\95 (707.368 ¢)
Semitones (A1:m2) 12:5 (151.6 ¢ : 63.16 ¢)
Dual sharp fifth 56\95 (707.368 ¢)
Dual flat fifth 55\95 (694.737 ¢) (→ 11\19)
Dual major 2nd 16\95 (202.105 ¢)
Consistency limit 7
Distinct consistency limit 7

Template:EDO intro

Theory

Approximation of odd harmonics in 95edo
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.

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