5985edo
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Prime factorization
32 × 5 × 7 × 19
Step size
0.200501¢
Fifth
3501\5985 (701.955¢) (→389\665)
Semitones (A1:m2)
567:450 (113.7¢ : 90.23¢)
Consistency limit
15
Distinct consistency limit
15
| ← 5984edo | 5985edo | 5986edo → |
5985 equal divisions of the octave (abbreviated 5985edo or 5985ed2), also called 5985-tone equal temperament (5985tet) or 5985 equal temperament (5985et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 5985 equal parts of about 0.201 ¢ each. Each step represents a frequency ratio of 21/5985, or the 5985th root of 2.
Theory
This EDO has a consistency limit of 15.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | -0.0001 | +0.0522 | -0.0039 | +0.0605 | -0.0264 | -0.0933 | +0.0308 | +0.0966 | -0.0033 | +0.0271 |
| Relative (%) | +0.0 | -0.1 | +26.0 | -1.9 | +30.2 | -13.2 | -46.5 | +15.4 | +48.2 | -1.6 | +13.5 | |
| Steps (reduced) |
5985 (0) |
9486 (3501) |
13897 (1927) |
16802 (4832) |
20705 (2750) |
22147 (4192) |
24463 (523) |
25424 (1484) |
27074 (3134) |
29075 (5135) |
29651 (5711) | |
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