5320edo
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Prime factorization
23 × 5 × 7 × 19
Step size
0.225564¢
Fifth
3112\5320 (701.955¢) (→389\665)
Semitones (A1:m2)
504:400 (113.7¢ : 90.23¢)
Consistency limit
9
Distinct consistency limit
9
| ← 5319edo | 5320edo | 5321edo → |
5320 equal divisions of the octave (abbreviated 5320edo or 5320ed2), also called 5320-tone equal temperament (5320tet) or 5320 equal temperament (5320et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 5320 equal parts of about 0.226 ¢ each. Each step represents a frequency ratio of 21/5320, or the 5320th root of 2.
Theory
This EDO has a consistency limit of 9.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | -0.0001 | +0.0773 | -0.0289 | -0.0397 | -0.0765 | -0.0682 | +0.0058 | -0.0789 | -0.1035 | -0.0732 |
| Relative (%) | +0.0 | -0.1 | +34.3 | -12.8 | -17.6 | -33.9 | -30.2 | +2.6 | -35.0 | -45.9 | -32.4 | |
| Steps (reduced) |
5320 (0) |
8432 (3112) |
12353 (1713) |
14935 (4295) |
18404 (2444) |
19686 (3726) |
21745 (465) |
22599 (1319) |
24065 (2785) |
25844 (4564) |
26356 (5076) | |
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