16625edo

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16625edo

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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

Theory

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)

16625edo is consistent in the 29-limit.

16625edo has 15 proper divisors: 1, 5, 7, 19, 25, 35, 95, 125, 133, 175, 475, 665, 875, 2375, 3325, of which 665 is a continued fraction approximant to the perfect fifth 3/2.

16625edo tempers out the comma [802 -799 200⟩ which equates 200 syntonic commas with 12/1, and supports rank 2 temperament 9763 & 16625 tempering out this comma.