570edo
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Prime factorization
2 × 3 × 5 × 19
Step size
2.10526¢
Fifth
333\570 (701.053¢) (→111\190)
Semitones (A1:m2)
51:45 (107.4¢ : 94.74¢)
Dual sharp fifth
334\570 (703.158¢) (→167\285)
Dual flat fifth
333\570 (701.053¢) (→111\190)
Dual major 2nd
97\570 (204.211¢)
Consistency limit
7
Distinct consistency limit
7
| ← 569edo | 570edo | 571edo → |
570 equal divisions of the octave (abbreviated 570edo or 570ed2), also called 570-tone equal temperament (570tet) or 570 equal temperament (570et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 570 equal parts of about 2.11 ¢ each. Each step represents a frequency ratio of 21/570, or the 570th root of 2.
Harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -0.902 | -1.051 | -0.405 | +0.301 | +0.261 | -0.528 | +0.152 | +0.308 | -0.671 | +0.798 | -0.906 |
| Relative (%) | -42.9 | -49.9 | -19.2 | +14.3 | +12.4 | -25.1 | +7.2 | +14.6 | -31.9 | +37.9 | -43.0 | |
| Steps (reduced) |
903 (333) |
1323 (183) |
1600 (460) |
1807 (97) |
1972 (262) |
2109 (399) |
2227 (517) |
2330 (50) |
2421 (141) |
2504 (224) |
2578 (298) | |
|
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