4231edo
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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
| ← 4230edo | 4231edo | 4232edo → |
4231 equal divisions of the octave (abbreviated 4231edo or 4231ed2), also called 4231-tone equal temperament (4231tet) or 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 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
| 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) | |