16625edo

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← 16624edo16625edo16626edo →
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

16625 equal divisions of the octave (16625edo), or 16625-tone equal temperament (16625tet), 16625 equal temperament (16625et) when viewed from a regular temperament perspective, is the tuning system that divides the octave into 16625 equal parts of about 0.0722 ¢ each.

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 -5 -28 -5 +19 -7 +21 -22 +7 +49
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.