25282edo

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← 25281edo 25282edo 25283edo →
Prime factorization 2 × 12641
Step size 0.0474646¢ 
Fifth 14789\25282 (701.954¢)
Semitones (A1:m2) 2395:1901 (113.7¢ : 90.23¢)
Consistency limit 9
Distinct consistency limit 9

25282 equal divisions of the octave (abbreviated 25282edo or 25282ed2), also called 25282-tone equal temperament (25282tet) or 25282 equal temperament (25282et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 25282 equal parts of about 0.0475 ¢ each. Each step represents a frequency ratio of 21/25282, or the 25282nd root of 2.

Harmonics

Approximation of prime harmonics in 25282edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error Absolute (¢) +0.0000 -0.0010 +0.0007 +0.0215 -0.0166 +0.0229 -0.0112 -0.0049 +0.0146 -0.0226 +0.0004
Relative (%) +0.0 -2.2 +1.4 +45.3 -35.0 +48.3 -23.6 -10.3 +30.7 -47.6 +0.9
Steps
(reduced)
25282
(0)
40071
(14789)
58703
(8139)
70976
(20412)
87461
(11615)
93555
(17709)
103339
(2211)
107396
(6268)
114365
(13237)
122819
(21691)
125252
(24124)


Icon-Todo.png Todo: explain its xenharmonic value