15900edo: Difference between revisions
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{{Harmonics in equal|15900}} | {{Harmonics in equal|15900}} | ||
[[Category:Equal divisions of the octave|####]] <!-- 5-digit number --> | [[Category:Equal divisions of the octave|#####]] <!-- 5-digit number --> | ||
Revision as of 18:18, 22 December 2022
| ← 15899edo | 15900edo | 15901edo → |
The 15900 equal divisions of the octave, or the 15900-tone equal temperament (15900tet), 15900 equal temperament (15900et) when viewed from a regular temperament perspective, divides the octave into 15900 equal parts of about 0.075 cents each.
Theory
A single step of 15900edo is the fine relative cent of 159edo, and this temperament also tempers out the magnetisma.
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.0000 | +0.0073 | +0.0259 | +0.0043 | +0.0028 | +0.0006 | +0.0257 | -0.0036 | +0.0275 | +0.0077 | +0.0210 |
| Relative (%) | +0.0 | +9.6 | +34.3 | +5.7 | +3.7 | +0.8 | +34.1 | -4.7 | +36.5 | +10.2 | +27.9 | |
| Steps (reduced) |
15900 (0) |
25201 (9301) |
36919 (5119) |
44637 (12837) |
55005 (7305) |
58837 (11137) |
64991 (1391) |
67542 (3942) |
71925 (8325) |
77242 (13642) |
78772 (15172) | |