264edo

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← 263edo264edo265edo →
Prime factorization 23 × 3 × 11
Step size 4.54545¢ 
Fifth 154\264 (700¢) (→7\12)
Semitones (A1:m2) 22:22 (100¢ : 100¢)
Dual sharp fifth 155\264 (704.545¢)
Dual flat fifth 154\264 (700¢) (→7\12)
Dual major 2nd 45\264 (204.545¢) (→15\88)
Consistency limit 7
Distinct consistency limit 7

264 equal divisions of the octave (abbreviated 264edo or 264ed2), also called 264-tone equal temperament (264tet) or 264 equal temperament (264et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 264 equal parts of about 4.55 ¢ each. Each step represents a frequency ratio of 21/264, or the 264th root of 2.

Odd harmonics

Approximation of odd harmonics in 264edo
Harmonic 3 5 7 9 11 13 15 17 19 21 23
Error absolute (¢) -1.96 +0.05 -0.64 +0.64 -1.32 +0.38 -1.91 -0.41 -2.06 +1.95 -1.00
relative (%) -43 +1 -14 +14 -29 +8 -42 -9 -45 +43 -22
Steps
(reduced)
418
(154)
613
(85)
741
(213)
837
(45)
913
(121)
977
(185)
1031
(239)
1079
(23)
1121
(65)
1160
(104)
1194
(138)


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