966edo
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Prime factorization
2 × 3 × 7 × 23
Step size
1.24224¢
Fifth
565\966 (701.863¢)
Semitones (A1:m2)
91:73 (113¢ : 90.68¢)
Consistency limit
11
Distinct consistency limit
11
| ← 965edo | 966edo | 967edo → |
966 equal divisions of the octave (abbreviated 966edo or 966ed2), also called 966-tone equal temperament (966tet) or 966 equal temperament (966et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 966 equal parts of about 1.24 ¢ each. Each step represents a frequency ratio of 21/966, or the 966th root of 2.
Odd harmonics
966edo has a good approximation of the 11-limit, with its primes 7 and 11, along with odd 15, borrowed from 161edo.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.092 | +0.022 | +0.118 | +0.235 | +0.466 | -0.608 | -0.619 | +0.297 | +0.236 | +0.306 |
| Relative (%) | +0.0 | -7.4 | +1.7 | +9.5 | +18.9 | +37.5 | -48.9 | -49.8 | +23.9 | +19.0 | +24.6 | |
| Steps (reduced) |
966 (0) |
1531 (565) |
2243 (311) |
2712 (780) |
3342 (444) |
3575 (677) |
3948 (84) |
4103 (239) |
4370 (506) |
4693 (829) |
4786 (922) | |
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