16625edo

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← 16624edo

16625edo

16626edo →

Prime factorization	53 × 7 × 19
Step size	0.0721805 ¢
Fifth	9725\16625 (701.955 ¢) (→ 389\665)
Semitones (A1:m2)	1575:1250 (113.7 ¢ : 90.23 ¢)
Consistency limit	29
Distinct consistency limit	29

16625edo is consistent in the 29-odd-limit. It tempers out the comma [802 -799 200⟩ which equates a stack of two hundred syntonic commas with 12/1, and supports the rank-2 temperament 6862 & 9763 tempering out this comma.

Prime harmonics

Approximation of prime harmonics in 16625edo

Harmonic		2	3	5	7	11	13	17	19	23	29	31
Error	Absolute (¢)	+0.0000	-0.0001	-0.0039	-0.0199	-0.0037	+0.0137	-0.0050	+0.0148	-0.0157	+0.0048	+0.0351
	Relative (%)	+0.0	-0.2	-5.5	-27.6	-5.1	+19.0	-7.0	+20.5	-21.8	+6.6	+48.6
Steps (reduced)		16625 (0)	26350 (9725)	38602 (5352)	46672 (13422)	57513 (7638)	61520 (11645)	67954 (1454)	70622 (4122)	75204 (8704)	80764 (14264)	82364 (15864)

Subsets and supersets

16625edo has subset edos 5, 7, 19, 25, 35, 95, 125, 133, 175, 475, 665, 875, 2375, and 3325, of which 665 is a continued fraction approximant to the perfect fifth 3/2.