564edo

← 563edo

564edo

565edo →

Prime factorization	22 × 3 × 47
Step size	2.12766 ¢
Fifth	330\564 (702.128 ¢) (→ 55\94)
Semitones (A1:m2)	54:42 (114.9 ¢ : 89.36 ¢)
Consistency limit	5
Distinct consistency limit	5

564 equal divisions of the octave (abbreviated 564edo or 564ed2), also called 564-tone equal temperament (564tet) or 564 equal temperament (564et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 564 equal parts of about 2.13 ¢ each. Each step represents a frequency ratio of 2^1/564, or the 564th root of 2.

Harmonics

Approximation of odd harmonics in 564edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	+0.173	+0.920	-0.741	+0.345	-0.254	-0.102	-1.035	-0.700	+0.359	-0.568	-0.615
	Relative (%)	+8.1	+43.3	-34.8	+16.2	-11.9	-4.8	-48.6	-32.9	+16.9	-26.7	-28.9
Steps (reduced)		894 (330)	1310 (182)	1583 (455)	1788 (96)	1951 (259)	2087 (395)	2203 (511)	2305 (49)	2396 (140)	2477 (221)	2551 (295)

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