333edo: Difference between revisions
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Adopt template: EDO intro; linking; +prime error table; -typo; -redundant categories |
+subsets and supersets |
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=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|333}} | {{Harmonics in equal|333}} | ||
=== Subsets and supersets === | |||
Since 333 factors into 3<sup>2</sup> × 37, 333edo has subset edos {{EDOs| 3, 9, 37, and 111 }}. | |||
[[Category:Countercata]] | [[Category:Countercata]] | ||
[[Category:Marveltwin]] | [[Category:Marveltwin]] | ||
Revision as of 04:05, 4 September 2023
| ← 332edo | 333edo | 334edo → |
The equal temperament tempers out 15625/15552 in the 5-limit and 5120/5103 in the 7-limit, so it supports countercata. In the 11-limit it tempers out 1375/1372 and 4000/3993, and in the 13-limit 325/324, 364/363, 625/624 and 676/675, and provides the optimal patent val for the rank-2 temperament novemkleismic, for the rank-3 temperament tempering out 325/324, 625/624 and 676/675, the rank-4 temperament tempering out 325/324 and 1375/1372, and the rank-5 temperament tempering out 325/324.
Prime harmonics
| Harmonic | 2 | 3 | 5 | 7 | 11 | 13 | 17 | 19 | 23 | 29 | 31 | |
|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Error | Absolute (¢) | +0.00 | +0.75 | -0.73 | +0.54 | +0.03 | -0.89 | -0.45 | +1.59 | -1.25 | +1.05 | +0.91 |
| Relative (%) | +0.0 | +20.7 | -20.2 | +15.1 | +0.9 | -24.6 | -12.5 | +44.0 | -34.6 | +29.2 | +25.3 | |
| Steps (reduced) |
333 (0) |
528 (195) |
773 (107) |
935 (269) |
1152 (153) |
1232 (233) |
1361 (29) |
1415 (83) |
1506 (174) |
1618 (286) |
1650 (318) | |
Subsets and supersets
Since 333 factors into 32 × 37, 333edo has subset edos 3, 9, 37, and 111.