3990edo

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← 3989edo3990edo3991edo →
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

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.


Approximation of prime harmonics in 3990edo
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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