16625edo

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Revision as of 11:14, 14 February 2023 by FloraC (talk | contribs) (Cleanup and subsectioning)
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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

Template:EDO intro

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.