30631edo
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Prime factorization
30631 (prime)
Step size
0.039176¢
Fifth
17918\30631 (701.956¢)
Semitones (A1:m2)
2902:2303 (113.7¢ : 90.22¢)
Consistency limit
35
Distinct consistency limit
35
Special properties
| ← 30630edo | 30631edo | 30632edo → |
30631 equal divisions of the octave (abbreviated 30631edo or 30631ed2), also called 30631-tone equal temperament (30631tet) or 30631 equal temperament (30631et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 30631 equal parts of about 0.0392 ¢ each. Each step represents a frequency ratio of 21/30631, or the 30631st root of 2. It is consistent in the 35-odd-limit and is a zeta peak integer edo.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00000 | +0.00053 | +0.00080 | -0.00347 | +0.00588 | -0.00662 | -0.00291 | -0.01049 | -0.00886 | +0.00721 | +0.00050 |
| Relative (%) | +0.0 | +1.4 | +2.1 | -8.9 | +15.0 | -16.9 | -7.4 | -26.8 | -22.6 | +18.4 | +1.3 | |
| Steps (reduced) |
30631 (0) |
48549 (17918) |
71123 (9861) |
85992 (24730) |
105966 (14073) |
113348 (21455) |
125203 (2679) |
130118 (7594) |
138561 (16037) |
148805 (26281) |
151752 (29228) | |