570edo

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← 569edo 570edo 571edo →
Prime factorization 2 × 3 × 5 × 19
Step size 2.10526¢ 
Fifth 333\570 (701.053¢) (→111\190)
Semitones (A1:m2) 51:45 (107.4¢ : 94.74¢)
Dual sharp fifth 334\570 (703.158¢) (→167\285)
Dual flat fifth 333\570 (701.053¢) (→111\190)
Dual major 2nd 97\570 (204.211¢)
Consistency limit 7
Distinct consistency limit 7

570 equal divisions of the octave (abbreviated 570edo or 570ed2), also called 570-tone equal temperament (570tet) or 570 equal temperament (570et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 570 equal parts of about 2.11 ¢ each. Each step represents a frequency ratio of 21/570, or the 570th root of 2.

Harmonics

Approximation of odd harmonics in 570edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error Absolute (¢) -0.902 -1.051 -0.405 +0.301 +0.261 -0.528 +0.152 +0.308 -0.671 +0.798 -0.906
Relative (%) -42.9 -49.9 -19.2 +14.3 +12.4 -25.1 +7.2 +14.6 -31.9 +37.9 -43.0
Steps
(reduced)
903
(333)
1323
(183)
1600
(460)
1807
(97)
1972
(262)
2109
(399)
2227
(517)
2330
(50)
2421
(141)
2504
(224)
2578
(298)


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