572edo

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← 571edo 572edo 573edo →
Prime factorization 22 × 11 × 13
Step size 2.0979¢ 
Fifth 335\572 (702.797¢)
Semitones (A1:m2) 57:41 (119.6¢ : 86.01¢)
Dual sharp fifth 335\572 (702.797¢)
Dual flat fifth 334\572 (700.699¢) (→167\286)
Dual major 2nd 97\572 (203.497¢)
Consistency limit 3
Distinct consistency limit 3

572 equal divisions of the octave (abbreviated 572edo or 572ed2), also called 572-tone equal temperament (572tet) or 572 equal temperament (572et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 572 equal parts of about 2.1 ¢ each. Each step represents a frequency ratio of 21/572, or the 572nd root of 2.

Harmonics

Approximation of odd harmonics in 572edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) +0.842 -0.300 +0.405 -0.413 +0.430 +0.731 +0.542 -0.060 +0.389 -0.851 -1.002
Relative (%) +40.1 -14.3 +19.3 -19.7 +20.5 +34.8 +25.9 -2.9 +18.5 -40.6 -47.7
Steps
(reduced)
907
(335)
1328
(184)
1606
(462)
1813
(97)
1979
(263)
2117
(401)
2235
(519)
2338
(50)
2430
(142)
2512
(224)
2587
(299)


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