266edo
Jump to navigation
Jump to search
Prime factorization
2 × 7 × 19
Step size
4.51128¢
Fifth
156\266 (703.759¢) (→78\133)
Semitones (A1:m2)
28:18 (126.3¢ : 81.2¢)
Dual sharp fifth
156\266 (703.759¢) (→78\133)
Dual flat fifth
155\266 (699.248¢)
Dual major 2nd
45\266 (203.008¢)
Consistency limit
7
Distinct consistency limit
7
| ← 265edo | 266edo | 267edo → |
266 equal divisions of the octave (abbreviated 266edo or 266ed2), also called 266-tone equal temperament (266tet) or 266 equal temperament (266et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 266 equal parts of about 4.51 ¢ each. Each step represents a frequency ratio of 21/266, or the 266th root of 2.
It is part of the optimal ET sequence for the decimaleap, dodecacot, gentle, kujuku, parapyth, parapythic, pentacircle, quintannic, sruti and starlingtet temperaments.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.80 | +1.66 | +1.10 | -0.90 | -0.94 | -1.43 | -1.05 | -1.20 | +0.23 | -1.61 | -1.21 |
| Relative (%) | +40.0 | +36.7 | +24.4 | -20.0 | -20.9 | -31.7 | -23.3 | -26.5 | +5.1 | -35.6 | -26.7 | |
| Steps (reduced) |
422 (156) |
618 (86) |
747 (215) |
843 (45) |
920 (122) |
984 (186) |
1039 (241) |
1087 (23) |
1130 (66) |
1168 (104) |
1203 (139) | |
 |
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |