462edo: Difference between revisions
Created page with "{{Infobox ET}} {{EDO intro|462}} == Theory == 462et is only consistent to the 3-odd-limit. It can be considered for the 2.3.7.11.17 subgroup, tempering out 1089/108..." |
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{{EDO intro|462}} | {{EDO intro|462}} | ||
462edo is [[enfactoring|enfactored]] in the [[3-limit]] and in[[consistent]] to the [[5-odd-limit]]. It can be considered for the 2.3.7.11.17 [[subgroup]], tempering out [[1089/1088]], 34992/34969, 944163/941192 and 10323369/10307264. | |||
=== Odd harmonics === | === Odd harmonics === | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
462 factors into 2 × 3 × 7 × 11, with subset edos {{EDOs|2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, and 231}}. [[1386edo]], which triples it, gives a good correction to the | 462 factors into 2 × 3 × 7 × 11, with subset edos {{EDOs|2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, and 231}}. [[1386edo]], which triples it, gives a good correction to the harmonics 3 and 5. | ||
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== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
! rowspan="2" |[[Subgroup]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" |[[Comma list|Comma List]] | ! rowspan="2" | [[Comma list|Comma List]] | ||
! rowspan="2" |[[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" |Optimal<br>8ve Stretch (¢) | ! rowspan="2" | Optimal<br>8ve Stretch (¢) | ||
! colspan="2" |Tuning Error | ! colspan="2" | Tuning Error | ||
|- | |- | ||
![[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
![[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
|} | |} | ||
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