644edo
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Prime factorization
22 × 7 × 23
Step size
1.86335¢
Fifth
377\644 (702.484¢)
Semitones (A1:m2)
63:47 (117.4¢ : 87.58¢)
Consistency limit
3
Distinct consistency limit
3
| ← 643edo | 644edo | 645edo → |
644 equal divisions of the octave (abbreviated 644edo or 644ed2), also called 644-tone equal temperament (644tet) or 644 equal temperament (644et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 644 equal parts of about 1.86 ¢ each. Each step represents a frequency ratio of 21/644, or the 644th root of 2.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.529 | -0.599 | +0.118 | -0.804 | +0.235 | -0.155 | -0.070 | -0.608 | +0.624 | +0.648 | -0.324 |
| Relative (%) | +28.4 | -32.2 | +6.3 | -43.2 | +12.6 | -8.3 | -3.8 | -32.6 | +33.5 | +34.8 | -17.4 | |
| Steps (reduced) |
1021 (377) |
1495 (207) |
1808 (520) |
2041 (109) |
2228 (296) |
2383 (451) |
2516 (584) |
2632 (56) |
2736 (160) |
2829 (253) |
2913 (337) | |
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