311edo: Difference between revisions
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== Regular temperament properties == | == Regular temperament properties == | ||
{ | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | |||
! rowspan="2" | [[Comma list]] | |||
! rowspan="2" | [[Mapping]] | |||
! rowspan="2" | Optimal<br />8ve stretch (¢) | |||
! colspan="2" | Tuning error | |||
|- | |||
! [[TE error|Absolute]] (¢) | |||
! [[TE simple badness|Relative]] (%) | |||
|- | |- | ||
| 2.3 | | 2.3 | ||
| Line 1,902: | Line 1,911: | ||
| 0.1496 | | 0.1496 | ||
| 3.88 | | 3.88 | ||
|} | |||
311et has lower relative errors than any previous equal temperaments in the 23-limit and beyond. In the 23-limit it beats [[282edo|282]] and is bettered by [[373edo|373g]] in terms of absolute error, and by [[581edo|581]] in terms of relative error. | 311et has lower relative errors than any previous equal temperaments in the 23-limit and beyond. In the 23-limit it beats [[282edo|282]] and is bettered by [[373edo|373g]] in terms of absolute error, and by [[581edo|581]] in terms of relative error. | ||
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=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{ | {| class="wikitable center-all left-5" | ||
|+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | |||
|- | |||
! Periods<br />per 8ve | |||
! Generator* | |||
! Cents* | |||
! Associated<br />ratio* | |||
! Temperaments | |||
|- | |- | ||
| 1 | | 1 | ||
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| 572/405 | | 572/405 | ||
| [[Vydubychi]] | | [[Vydubychi]] | ||
|} | |||
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||
=== Commas === | === Commas === | ||