90edf
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Prime factorization
2 × 32 × 5
Step size
7.7995¢
Octave
154\90edf (1201.12¢) (→77\45edf)
Twelfth
244\90edf (1903.08¢) (→122\45edf)
Consistency limit
4
Distinct consistency limit
4
| ← 89edf | 90edf | 91edf → |
90 equal divisions of the perfect fifth (abbreviated 90edf or 90ed3/2) is a nonoctave tuning system that divides the interval of 3/2 into 90 equal parts of about 7.8 ¢ each. Each step represents a frequency ratio of (3/2)1/90, or the 90th root of 3/2.
Harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.12 | +1.12 | -1.89 | +0.56 | -1.98 | -2.61 | +0.93 | +3.36 | +0.18 | -3.35 | -1.82 |
| Relative (%) | +14.4 | +14.4 | -24.3 | +7.2 | -25.4 | -33.5 | +11.9 | +43.1 | +2.3 | -43.0 | -23.3 | |
| Steps (reduced) |
154 (64) |
244 (64) |
357 (87) |
432 (72) |
532 (82) |
569 (29) |
629 (89) |
654 (24) |
696 (66) |
747 (27) |
762 (42) | |
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