264edo
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Prime factorization
23 × 3 × 11
Step size
4.54545¢
Fifth
154\264 (700¢) (→7\12)
Semitones (A1:m2)
22:22 (100¢ : 100¢)
Dual sharp fifth
155\264 (704.545¢)
Dual flat fifth
154\264 (700¢) (→7\12)
Dual major 2nd
45\264 (204.545¢) (→15\88)
Consistency limit
7
Distinct consistency limit
7
| ← 263edo | 264edo | 265edo → |
264 equal divisions of the octave (abbreviated 264edo or 264ed2), also called 264-tone equal temperament (264tet) or 264 equal temperament (264et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 264 equal parts of about 4.55 ¢ each. Each step represents a frequency ratio of 21/264, or the 264th root of 2.
It is part of the optimal ET sequence for the french decimal, julius (aka varda), leapweek, leapweeker, rabic, sentry temperaments. It also supports minicom temperament.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.96 | +0.05 | -0.64 | +0.64 | -1.32 | +0.38 | -1.91 | -0.41 | -2.06 | +1.95 | -1.00 |
| Relative (%) | -43.0 | +1.1 | -14.2 | +14.0 | -29.0 | +8.4 | -41.9 | -9.0 | -45.3 | +42.8 | -22.0 | |
| Steps (reduced) |
418 (154) |
613 (85) |
741 (213) |
837 (45) |
913 (121) |
977 (185) |
1031 (239) |
1079 (23) |
1121 (65) |
1160 (104) |
1194 (138) | |
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