534edo

← 533edo

534edo

535edo →

Prime factorization	2 × 3 × 89
Step size	2.24719 ¢
Fifth	312\534 (701.124 ¢) (→ 52\89)
Semitones (A1:m2)	48:42 (107.9 ¢ : 94.38 ¢)
Dual sharp fifth	313\534 (703.371 ¢)
Dual flat fifth	312\534 (701.124 ¢) (→ 52\89)
Dual major 2nd	91\534 (204.494 ¢)
Consistency limit	7
Distinct consistency limit	7

534edo is consistent to the 7-odd-limit, but the error of harmonic 3 is quite large. The patent val tempers out 2401/2400 and 19683/19600 in the 7-limit and provides the optimal patent val for 7-limit harry temperament.

Odd harmonics

Approximation of odd harmonics in 534edo

Harmonic		3	5	7	9	11	13	15	17	19	21	23
Error	Absolute (¢)	-0.831	+0.203	-0.287	+0.584	-0.756	-0.078	-0.628	+0.663	-0.884	-1.118	+0.939
	Relative (%)	-37.0	+9.0	-12.8	+26.0	-33.6	-3.5	-28.0	+29.5	-39.3	-49.8	+41.8
Steps (reduced)		846 (312)	1240 (172)	1499 (431)	1693 (91)	1847 (245)	1976 (374)	2086 (484)	2183 (47)	2268 (132)	2345 (209)	2416 (280)

Subsets and supersets

Since 534 factors into 2 × 3 × 89, 534edo has subset edos 2, 3, 6, 89, 178, and 267.