6650edo

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← 6649edo6650edo6651edo →
Prime factorization 2 × 52 × 7 × 19
Step size 0.180451¢
Fifth 3890\6650 (701.955¢) (→389\665)
Semitones (A1:m2) 630:500 (113.7¢ : 90.23¢)
Consistency limit 15
Distinct consistency limit 15

6650 equal divisions of the octave (abbreviated 6650edo or 6650ed2), also called 6650-tone equal temperament (6650tet) or 6650 equal temperament (6650et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 6650 equal parts of about 0.180 ¢ each. Each step represents a frequency ratio of 21/6650, or the 6650th root of 2.

Theory

This system is consistent up to the 15-odd-limit.


Approximation of prime harmonics in 6650edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.0000 -0.0001 +0.0322 +0.0162 -0.0397 +0.0137 +0.0671 +0.0509 +0.0565 +0.0769 -0.0732
relative (%) +0 -0 +18 +9 -22 +8 +37 +28 +31 +43 -41
Steps
(reduced)
6650
(0)
10540
(3890)
15441
(2141)
18669
(5369)
23005
(3055)
24608
(4658)
27182
(582)
28249
(1649)
30082
(3482)
32306
(5706)
32945
(6345)


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