286edo
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Prime factorization
2 × 11 × 13
Step size
4.1958¢
Fifth
167\286 (700.699¢)
Semitones (A1:m2)
25:23 (104.9¢ : 96.5¢)
Consistency limit
7
Distinct consistency limit
7
| ← 285edo | 286edo | 287edo → |
286 equal divisions of the octave (abbreviated 286edo or 286ed2), also called 286-tone equal temperament (286tet) or 286 equal temperament (286et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 286 equal parts of about 4.2 ¢ each. Each step represents a frequency ratio of 21/286, or the 286th root of 2.
It is part of the optimal ET sequence for the claudius, echidnic, fermionic, hypnos, srutal, and tridecatonic temperaments.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.26 | -0.30 | +0.40 | +1.68 | -1.67 | -1.37 | -1.56 | -0.06 | +0.39 | -0.85 | +1.10 |
| Relative (%) | -29.9 | -7.1 | +9.6 | +40.1 | -39.7 | -32.6 | -37.1 | -1.4 | +9.3 | -20.3 | +26.1 | |
| Steps (reduced) |
453 (167) |
664 (92) |
803 (231) |
907 (49) |
989 (131) |
1058 (200) |
1117 (259) |
1169 (25) |
1215 (71) |
1256 (112) |
1294 (150) | |
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