4231edo

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← 4230edo4231edo4232edo →
Prime factorization 4231 (prime)
Step size 0.283621¢
Fifth 2475\4231 (701.962¢)
Semitones (A1:m2) 401:318 (113.7¢ : 90.19¢)
Consistency limit 11
Distinct consistency limit 11
Special properties

4231 equal divisions of the octave (abbreviated 4231edo), or 4231-tone equal temperament (4231tet), 4231 equal temperament (4231et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 4231 equal parts of about 0.284 ¢ each. Each step of 4231edo represents a frequency ratio of 21/4231, or the 4231st root of 2. It is a zeta peak integer edo. Like the previous zeta peak integer edo 3566edo, it tempers out the lakisma and the monzisma.

Prime harmonics

Approximation of prime harmonics in 4231edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.0000 +0.0067 -0.0221 +0.0231 +0.0411 +0.1247 -0.0157 +0.0053 -0.0541 -0.0334 -0.0580
relative (%) +0 +2 -8 +8 +14 +44 -6 +2 -19 -12 -20
Steps
(reduced)
4231
(0)
6706
(2475)
9824
(1362)
11878
(3416)
14637
(1944)
15657
(2964)
17294
(370)
17973
(1049)
19139
(2215)
20554
(3630)
20961
(4037)