16625edo
|
This page presents a novelty topic.
It may contain ideas which are less likely to find practical applications in music, or numbers or structures that are arbitrary or exceedingly small, large, or complex. Novelty topics are often developed by a single person or a small group. As such, this page may also contain idiosyncratic terms, notation, or conceptual frameworks. |
|
This page is a stub. You can help the Xenharmonic Wiki by expanding it. |
| ← 16624edo | 16625edo | 16626edo → |
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
| 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.