77ed12
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Prime factorization
7 × 11
Step size
55.8695¢
Octave
21\77ed12 (1173.26¢) (→3\11ed12)
Twelfth
34\77ed12 (1899.56¢)
Consistency limit
2
Distinct consistency limit
2
| ← 76ed12 | 77ed12 | 78ed12 → |
77 equal divisions of the 12th harmonic (abbreviated 77ed12) is a nonoctave tuning system that divides the interval of 12/1 into 77 equal parts of about 55.9 ¢ each. Each step represents a frequency ratio of 121/77, or the 77th root of 12.
Harmonics
| Harmonic | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -26.7 | -2.4 | +2.4 | +7.2 | +26.7 | -16.7 | -24.3 | -4.8 | -19.6 | -17.0 | +0.0 |
| Relative (%) | -47.9 | -4.3 | +4.3 | +12.8 | +47.9 | -29.8 | -43.6 | -8.6 | -35.0 | -30.4 | +0.0 | |
| Steps (reduced) |
21 (21) |
34 (34) |
43 (43) |
50 (50) |
56 (56) |
60 (60) |
64 (64) |
68 (68) |
71 (71) |
74 (74) |
77 (0) | |