# 16625edo

 ← 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

16625 equal divisions of the octave (abbreviated 16625edo or 16625ed2), also called 16625-tone equal temperament (16625tet) or 16625 equal temperament (16625et) when viewed under a regular temperament perspective, is the tuning system that divides the octave into 16625 equal parts of about 0.0722 ¢ each. Each step represents a frequency ratio of 21/16625, or the 16625th root of 2.

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.