664edo
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Prime factorization
23 × 83
Step size
1.80723¢
Fifth
388\664 (701.205¢) (→97\166)
Semitones (A1:m2)
60:52 (108.4¢ : 93.98¢)
Dual sharp fifth
389\664 (703.012¢)
Dual flat fifth
388\664 (701.205¢) (→97\166)
Dual major 2nd
113\664 (204.217¢)
Consistency limit
3
Distinct consistency limit
3
| ← 663edo | 664edo | 665edo → |
664 equal divisions of the octave (abbreviated 664edo or 664ed2), also called 664-tone equal temperament (664tet) or 664 equal temperament (664et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 664 equal parts of about 1.81 ¢ each. Each step represents a frequency ratio of 21/664, or the 664th root of 2.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.750 | +0.433 | -0.151 | +0.307 | -0.113 | -0.166 | -0.317 | -0.136 | +0.680 | -0.901 | +0.641 |
| Relative (%) | -41.5 | +24.0 | -8.4 | +17.0 | -6.3 | -9.2 | -17.5 | -7.5 | +37.6 | -49.9 | +35.5 | |
| Steps (reduced) |
1052 (388) |
1542 (214) |
1864 (536) |
2105 (113) |
2297 (305) |
2457 (465) |
2594 (602) |
2714 (58) |
2821 (165) |
2916 (260) |
3004 (348) | |
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