564edo
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Prime factorization
22 × 3 × 47
Step size
2.12766¢
Fifth
330\564 (702.128¢) (→55\94)
Semitones (A1:m2)
54:42 (114.9¢ : 89.36¢)
Consistency limit
5
Distinct consistency limit
5
| ← 563edo | 564edo | 565edo → |
564 equal divisions of the octave (abbreviated 564edo or 564ed2), also called 564-tone equal temperament (564tet) or 564 equal temperament (564et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 564 equal parts of about 2.13 ¢ each. Each step represents a frequency ratio of 21/564, or the 564th root of 2.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.173 | +0.920 | -0.741 | +0.345 | -0.254 | -0.102 | -1.035 | -0.700 | +0.359 | -0.568 | -0.615 |
| Relative (%) | +8.1 | +43.3 | -34.8 | +16.2 | -11.9 | -4.8 | -48.6 | -32.9 | +16.9 | -26.7 | -28.9 | |
| Steps (reduced) |
894 (330) |
1310 (182) |
1583 (455) |
1788 (96) |
1951 (259) |
2087 (395) |
2203 (511) |
2305 (49) |
2396 (140) |
2477 (221) |
2551 (295) | |
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