262edo
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Prime factorization
2 × 131
Step size
4.58015¢
Fifth
153\262 (700.763¢)
Semitones (A1:m2)
23:21 (105.3¢ : 96.18¢)
Consistency limit
5
Distinct consistency limit
5
| ← 261edo | 262edo | 263edo → |
262 equal divisions of the octave (abbreviated 262edo or 262ed2), also called 262-tone equal temperament (262tet) or 262 equal temperament (262et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 262 equal parts of about 4.58 ¢ each. Each step represents a frequency ratio of 21/262, or the 262nd root of 2.
It is part of the optimal ET sequence for the baladic, ekadash, oolong, portannic, portentous, trismegistus, valentine and van gogh temperaments.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | -1.19 | -1.58 | +2.17 | +2.20 | -1.70 | +2.22 | +1.81 | +0.39 | +0.20 | +0.97 | -0.79 |
| Relative (%) | -26.0 | -34.5 | +47.3 | +48.0 | -37.1 | +48.5 | +39.5 | +8.5 | +4.3 | +21.3 | -17.3 | |
| Steps (reduced) |
415 (153) |
608 (84) |
736 (212) |
831 (45) |
906 (120) |
970 (184) |
1024 (238) |
1071 (23) |
1113 (65) |
1151 (103) |
1185 (137) | |
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