25281edo

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← 25280edo25281edo25282edo →
Prime factorization 32 × 532
Step size 0.0474665¢
Fifth 14788\25281 (701.934¢)
Semitones (A1:m2) 2392:1903 (113.5¢ : 90.33¢)
Dual sharp fifth 14789\25281 (701.982¢)
Dual flat fifth 14788\25281 (701.934¢)
Dual major 2nd 4296\25281 (203.916¢) (→1432\8427)
Consistency limit 3
Distinct consistency limit 3

25281 equal divisions of the octave (abbreviated 25281edo), or 25281-tone equal temperament (25281tet), 25281 equal temperament (25281et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 25281 equal parts of about 0.0475 ¢ each. Each step of 25281edo represents a frequency ratio of 21/25281, or the 25281st root of 2.

Theory

Approximation of odd harmonics in 25281edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) -0.0207 +0.0159 +0.0124 +0.0060 +0.0052 +0.0087 -0.0048 -0.0070 +0.0069 -0.0084 -0.0081
relative (%) -44 +34 +26 +13 +11 +18 -10 -15 +14 -18 -17
Steps
(reduced)
40069
(14788)
58701
(8139)
70973
(20411)
80139
(4296)
87458
(11615)
93551
(17708)
98770
(22927)
103335
(2211)
107392
(6268)
111042
(9918)
114360
(13236)

This EDO 159*159, but, given that it's dual-fifths system, it could use some correction by further subdivision.