259edo
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Prime factorization
7 × 37
Step size
4.6332¢
Fifth
152\259 (704.247¢)
Semitones (A1:m2)
28:17 (129.7¢ : 78.76¢)
Dual sharp fifth
152\259 (704.247¢)
Dual flat fifth
151\259 (699.614¢)
Dual major 2nd
44\259 (203.861¢)
Consistency limit
3
Distinct consistency limit
3
| ← 258edo | 259edo | 260edo → |
259 equal divisions of the octave (abbreviated 259edo or 259ed2), also called 259-tone equal temperament (259tet) or 259 equal temperament (259et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 259 equal parts of about 4.63 ¢ each. Each step represents a frequency ratio of 21/259, or the 259th root of 2.
It is part of the optimal ET sequence for the counterkleismic, langwidge, octacot, october, parkleismic and ulmo temperaments.
Odd harmonics
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +2.29 | -1.76 | -0.49 | -0.05 | +0.03 | -1.92 | +0.53 | +1.61 | -0.99 | +1.81 | +1.84 |
| Relative (%) | +49.5 | -37.9 | -10.5 | -1.1 | +0.7 | -41.4 | +11.5 | +34.7 | -21.3 | +39.0 | +39.7 | |
| Steps (reduced) |
411 (152) |
601 (83) |
727 (209) |
821 (44) |
896 (119) |
958 (181) |
1012 (235) |
1059 (23) |
1100 (64) |
1138 (102) |
1172 (136) | |
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