261edo
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Prime factorization
32 × 29
Step size
4.5977¢
Fifth
153\261 (703.448¢) (→17\29)
Semitones (A1:m2)
27:18 (124.1¢ : 82.76¢)
Consistency limit
7
Distinct consistency limit
7
| ← 260edo | 261edo | 262edo → |
261 equal divisions of the octave (abbreviated 261edo or 261ed2), also called 261-tone equal temperament (261tet) or 261 equal temperament (261et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 261 equal parts of about 4.6 ¢ each. Each step represents a frequency ratio of 21/261, or the 261st root of 2.
It is part of the optimal ET sequence for the apollo, diatessic, novemkleismic, shibboleth and superkleismic temperaments.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +1.49 | -0.11 | +1.29 | -1.61 | +0.41 | +0.85 | +1.39 | +0.79 | +1.34 | -1.82 | +1.61 |
| Relative (%) | +32.5 | -2.3 | +28.0 | -35.0 | +8.8 | +18.5 | +30.2 | +17.2 | +29.1 | -39.5 | +35.0 | |
| Steps (reduced) |
414 (153) |
606 (84) |
733 (211) |
827 (44) |
903 (120) |
966 (183) |
1020 (237) |
1067 (23) |
1109 (65) |
1146 (102) |
1181 (137) | |
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