571611edo

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← 571610edo571611edo571612edo →
Prime factorization 3 × 190537
Step size 0.00209933¢
Fifth 334371\571611 (701.955¢) (→111457\190537)
Semitones (A1:m2) 54153:42978 (113.7¢ : 90.22¢)
Consistency limit 9
Distinct consistency limit 9

571611 equal divisions of the octave (abbreviated 571611edo or 571611ed2), also called 571611-tone equal temperament (571611tet) or 571611 equal temperament (571611et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 571611 equal parts of about 0.002 ¢ each. Each step represents a frequency ratio of 21/571611, or the 571611th root of 2.

Theory

This multiple of 190537edo only has a consistency level of 9.


Approximation of prime harmonics in 571611edo
Harmonic 2 3 5 7 11 13 17 19 23 29 31
Error absolute (¢) +0.000000 +0.000000 +0.000755 +0.000096 -0.000351 -0.000100 +0.000583 -0.000197 +0.000476 -0.000786 -0.000225
relative (%) +0 +0 +36 +5 -17 -5 +28 -9 +23 -37 -11
Steps
(reduced)
571611
(0)
905982
(334371)
1327240
(184018)
1604715
(461493)
1977449
(262616)
2115212
(400379)
2336439
(49995)
2428162
(141718)
2585718
(299274)
2776875
(490431)
2831873
(545429)