625edo
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Prime factorization
54
Step size
1.92¢
Fifth
366\625 (702.72¢)
Semitones (A1:m2)
62:45 (119¢ : 86.4¢)
Dual sharp fifth
366\625 (702.72¢)
Dual flat fifth
365\625 (700.8¢) (→73\125)
Dual major 2nd
106\625 (203.52¢)
Consistency limit
3
Distinct consistency limit
3
| ← 624edo | 625edo | 626edo → |
625 equal divisions of the octave (abbreviated 625edo or 625ed2), also called 625-tone equal temperament (625tet) or 625 equal temperament (625et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 625 equal parts of exactly 1.92 ¢ each. Each step represents a frequency ratio of 21/625, or the 625th root of 2.
625edo is only consistent to the 3-limit, and error on the 3rd harmonic is quite large.
It has good approximations to the 2.7/6.19 subgroup, on which it also has an interpretation as every 5th step of 3125edo.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.765 | -0.394 | +0.774 | -0.390 | -0.278 | +0.432 | +0.371 | +0.645 | +0.087 | -0.381 | -0.434 |
| Relative (%) | +39.8 | -20.5 | +40.3 | -20.3 | -14.5 | +22.5 | +19.3 | +33.6 | +4.5 | -19.8 | -22.6 | |
| Steps (reduced) |
991 (366) |
1451 (201) |
1755 (505) |
1981 (106) |
2162 (287) |
2313 (438) |
2442 (567) |
2555 (55) |
2655 (155) |
2745 (245) |
2827 (327) | |