512edo

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← 511edo512edo513edo →
Prime factorization 29
Step size 2.34375¢
Fifth 300\512 (703.125¢) (→75\128)
Semitones (A1:m2) 52:36 (121.9¢ : 84.38¢)
Dual sharp fifth 300\512 (703.125¢) (→75\128)
Dual flat fifth 299\512 (700.781¢)
Dual major 2nd 87\512 (203.906¢)
(semiconvergent)
Consistency limit 5
Distinct consistency limit 5

512 equal divisions of the octave (512edo), or 512-tone equal temperament (512tet), 512 equal temperament (512et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 512 equal parts of about 2.34 ¢ each.

Theory

Approximation of odd harmonics in 512edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) +1.17 +0.41 -0.86 -0.00 -0.54 +0.88 -0.77 +0.51 +0.14 +0.31 -0.15
relative (%) +50 +17 -37 -0 -23 +37 -33 +22 +6 +13 -6
Steps
(reduced)
812
(300)
1189
(165)
1437
(413)
1623
(87)
1771
(235)
1895
(359)
2000
(464)
2093
(45)
2175
(127)
2249
(201)
2316
(268)

With only a consistency limit of 5, this 9th power of two EDO doesn't have a whole lot to offer in terms of low primes, though the 19-prime and 23-prime seem rather interesting.