User:MisterShafXen/61ed8
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Prime factorization
61 (prime)
Step size
59.0164 ¢
Octave
20\61ed8 (1180.33 ¢)
Twelfth
32\61ed8 (1888.52 ¢)
Consistency limit
3
Distinct consistency limit
3
| ← 60ed8 | 61ed8 | 62ed8 → |
61 equal divisions of the 8th harmonic (abbreviated 61ed8) is a nonoctave tuning system that divides the interval of 8/1 into 61 equal parts of about 59 ¢ each. Each step represents a frequency ratio of 81/61, or the 61st root of 8. This tuning has a sharp 3/2, but a flat 3.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -19.7 | -13.4 | +19.7 | -12.5 | +25.9 | -4.9 | +0.0 | -26.9 | +26.8 | -20.2 | +6.2 |
| Relative (%) | -33.3 | -22.8 | +33.3 | -21.3 | +43.9 | -8.3 | +0.0 | -45.5 | +45.4 | -34.2 | +10.6 | |
| Steps (reduced) |
20 (20) |
32 (32) |
41 (41) |
47 (47) |
53 (53) |
57 (57) |
61 (0) |
64 (3) |
68 (7) |
70 (9) |
73 (12) | |