6ed6

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← 5ed6 6ed6 7ed6 →
Prime factorization 2 × 3 (highly composite)
Step size 516.993 ¢ 
Octave 2\6ed6 (1033.99 ¢) (→ 1\3ed6)
Twelfth 4\6ed6 (2067.97 ¢) (→ 2\3ed6)
Consistency limit 2
Distinct consistency limit 2

6ED6 is the equal division of the sixth harmonic into six parts of 516.9925 cents each, corresponding to 2.3211 edo. It is related to the harry temperament, which tempers out 243/242, 441/440, and 4000/3993 in the 11-limit.

Intervals

Steps Cents Approximate ratios
0 0 1/1
1 517 15/11, 18/13, 19/14
2 1034 11/6, 13/7
3 1551 5/2, 12/5
4 2068 17/5
5 2585 13/3
6 3102 6/1

Harmonics

Approximation of harmonics in 6ed6
Harmonic 2 3 4 5 6 7 8 9 10 11 12
Error Absolute (¢) -166 +166 +185 -201 +0 +250 +19 -185 +150 -15 -166
Relative (%) -32.1 +32.1 +35.8 -38.9 +0.0 +48.4 +3.7 -35.8 +28.9 -3.0 -32.1
Steps
(reduced)
2
(2)
4
(4)
5
(5)
5
(5)
6
(0)
7
(1)
7
(1)
7
(1)
8
(2)
8
(2)
8
(2)
Approximation of harmonics in 6ed6
Harmonic 13 14 15 16 17 18 19 20 21 22 23
Error Absolute (¢) +212 +84 -35 -147 -252 +166 +72 -16 -101 -181 -258
Relative (%) +41.1 +16.3 -6.8 -28.4 -48.7 +32.1 +14.0 -3.2 -19.5 -35.1 -50.0
Steps
(reduced)
9
(3)
9
(3)
9
(3)
9
(3)
9
(3)
10
(4)
10
(4)
10
(4)
10
(4)
10
(4)
10
(4)