264edo

← 263edo

264edo

265edo →

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 2^1/264, or the 264th root of 2.

It is part of the optimal ET sequence for the french decimal, julius (aka varda), leapweek, leapweeker, rabic, and sentry temperaments. It also supports minicom temperament.

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 (%)	-43.0	+1.1	-14.2	+14.0	-29.0	+8.4	-41.9	-9.0	-45.3	+42.8	-22.0
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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