3990edo
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Prime factorization
2 × 3 × 5 × 7 × 19
Step size
0.300752¢
Fifth
2334\3990 (701.955¢) (→389\665)
Semitones (A1:m2)
378:300 (113.7¢ : 90.23¢)
Consistency limit
11
Distinct consistency limit
11
| ← 3989edo | 3990edo | 3991edo → |
3990 equal divisions of the octave (abbreviated 3990edo or 3990ed2), also called 3990-tone equal temperament (3990tet) or 3990 equal temperament (3990et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 3990 equal parts of about 0.301 ¢ each. Each step represents a frequency ratio of 21/3990, or the 3990th root of 2.
Theory
This EDO has a consistency level of 11.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | absolute (¢) | +0.000 | -0.000 | -0.148 | -0.104 | -0.040 | +0.074 | +0.007 | -0.069 | -0.004 | -0.104 | -0.073 |
| relative (%) | +0 | -0 | -49 | -35 | -13 | +25 | +2 | -23 | -1 | -34 | -24 | |
| Steps (reduced) |
3990 (0) |
6324 (2334) |
9264 (1284) |
11201 (3221) |
13803 (1833) |
14765 (2795) |
16309 (349) |
16949 (989) |
18049 (2089) |
19383 (3423) |
19767 (3807) | |
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