901edo: Difference between revisions
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→Subsets and supersets: about 1802edo |
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=== Subsets and supersets === | === Subsets and supersets === | ||
901 factors into {{factorization|901}}. In light of containing [[17edo]] and [[53edo]] as subsets, it supports the [[chlorine]] temperament, which has period 17, and [[iodine]] temperament, which has period 53. | 901 factors into {{factorization|901}}. In light of containing [[17edo]] and [[53edo]] as subsets, it supports the [[chlorine]] temperament, which has period 17, and [[iodine]] temperament, which has period 53. | ||
[[1802edo]], which doubles 901edo, corrects the mapping for 7. | |||
Revision as of 21:59, 7 November 2023
| ← 900edo | 901edo | 902edo → |
901edo is consistent to the 15-odd-limit. The equal temperament tempers out [-16 35 -17⟩ (minortone comma) and [-68 18 17⟩ (vavoom comma) in the 5-limit; 4375/4374, 2100875/2097152, and [7 -4 -16 13⟩ in the 7-limit; 41503/41472, 160083/160000, 234375/234256, and 806736/805255 in the 11-limit; 4225/4224, 4459/4455, 6656/6655, 34398/34375, and 50421/50336 in the 13-limit, supporting mitonic, vavoom, and egads.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.000 | -0.068 | -0.076 | -0.568 | +0.069 | -0.128 | +0.261 | -0.510 | +0.361 | -0.054 | +0.358 |
| Relative (%) | +0.0 | -5.1 | -5.7 | -42.7 | +5.2 | -9.6 | +19.6 | -38.3 | +27.1 | -4.1 | +26.9 | |
| Steps (reduced) |
901 (0) |
1428 (527) |
2092 (290) |
2529 (727) |
3117 (414) |
3334 (631) |
3683 (79) |
3827 (223) |
4076 (472) |
4377 (773) |
4464 (860) | |
Subsets and supersets
901 factors into 17 × 53. In light of containing 17edo and 53edo as subsets, it supports the chlorine temperament, which has period 17, and iodine temperament, which has period 53.
1802edo, which doubles 901edo, corrects the mapping for 7.