25281edo
Jump to navigation
Jump to search
Prime factorization
32 × 532
Step size
0.0474665¢
Fifth
14788\25281 (701.934¢)
Semitones (A1:m2)
2392:1903 (113.5¢ : 90.33¢)
Dual sharp fifth
14789\25281 (701.982¢)
Dual flat fifth
14788\25281 (701.934¢)
Dual major 2nd
4296\25281 (203.916¢) (→1432\8427)
Consistency limit
3
Distinct consistency limit
3
| ← 25280edo | 25281edo | 25282edo → |
25281 equal divisions of the octave (abbreviated 25281edo or 25281ed2), also called 25281-tone equal temperament (25281tet) or 25281 equal temperament (25281et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 25281 equal parts of about 0.0475 ¢ each. Each step represents a frequency ratio of 21/25281, or the 25281st root of 2.
Theory
| Harmonic | 3 | 5 | 7 | 9 | 11 | 13 | 15 | 17 | 19 | 21 | 23 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | -0.0207 | +0.0159 | +0.0124 | +0.0060 | +0.0052 | +0.0087 | -0.0048 | -0.0070 | +0.0069 | -0.0084 | -0.0081 |
| relative (%) | -44 | +34 | +26 | +13 | +11 | +18 | -10 | -15 | +14 | -18 | -17 | |
| Steps (reduced) |
40069 (14788) |
58701 (8139) |
70973 (20411) |
80139 (4296) |
87458 (11615) |
93551 (17708) |
98770 (22927) |
103335 (2211) |
107392 (6268) |
111042 (9918) |
114360 (13236) | |
This EDO 159*159, but, given that it's dual-fifths system, it could use some correction by further subdivision.