2809edo
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Prime factorization
532
Step size
0.427198¢
Fifth
1643\2809 (701.887¢) (→31\53)
Semitones (A1:m2)
265:212 (113.2¢ : 90.57¢)
Consistency limit
9
Distinct consistency limit
9
| ← 2808edo | 2809edo | 2810edo → |
2809 equal divisions of the octave (abbreviated 2809edo or 2809ed2), also called 2809-tone equal temperament (2809tet) or 2809 equal temperament (2809et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 2809 equal parts of about 0.427 ¢ each. Each step represents a frequency ratio of 21/2809, or the 2809th root of 2.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.068 | -0.126 | +0.060 | +0.195 | +0.199 | +0.135 | -0.183 | +0.134 | -0.029 | -0.144 |
| Relative (%) | +0.0 | -16.0 | -29.6 | +14.0 | +45.7 | +46.5 | +31.7 | -42.8 | +31.4 | -6.9 | -33.7 | |
| Steps (reduced) |
2809 (0) |
4452 (1643) |
6522 (904) |
7886 (2268) |
9718 (1291) |
10395 (1968) |
11482 (246) |
11932 (696) |
12707 (1471) |
13646 (2410) |
13916 (2680) | |
This edo is 53 × 53 and it shares its fifth, as well as both its consistency and distinct consistency limits, with 53edo.