16625edo: Difference between revisions
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16625edo tempers out the comma {{monzo|802 -799 200}} which equates 200 [[81/80|syntonic commas]] with [[12/1]], and supports rank 2 temperament 9763 & 16625 tempering out this comma. | 16625edo tempers out the comma {{monzo|802 -799 200}} which equates 200 [[81/80|syntonic commas]] with [[12/1]], and supports rank 2 temperament 9763 & 16625 tempering out this comma. | ||
[[Category:Equal divisions of the octave]] | [[Category:Equal divisions of the octave|#####]] <!-- 5-digit number --> | ||
Revision as of 01:42, 4 July 2022
Theory
| 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.