332edo: Difference between revisions
Review |
m changed EDO intro to ED intro |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
Since 332 factors into | Since 332 factors into {{factorisation|332}}, 332edo has subset edos {{EDOs| 2, 4, 83, and 166 }}. | ||
== 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 | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br />8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
! [[TE simple badness|Relative]] (%) | ! [[TE simple badness|Relative]] (%) | ||
| Line 25: | Line 26: | ||
| {{monzo| -13 17 -6 }}, {{monzo| -53 10 16 }} | | {{monzo| -13 17 -6 }}, {{monzo| -53 10 16 }} | ||
| {{mapping| 332 526 771 }} | | {{mapping| 332 526 771 }} | ||
| 0.0955 | | +0.0955 | ||
| 0.2778 | | 0.2778 | ||
| 7.69 | | 7.69 | ||
| Line 32: | Line 33: | ||
| 2401/2400, 19683/19600, 29360128/29296875 | | 2401/2400, 19683/19600, 29360128/29296875 | ||
| {{mapping| 332 526 771 932 }} | | {{mapping| 332 526 771 932 }} | ||
| 0.0851 | | +0.0851 | ||
| 0.2412 | | 0.2412 | ||
| 6.67 | | 6.67 | ||
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=== Rank-2 temperaments === | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
|+Table of rank-2 temperaments by generator | |+ style="font-size: 105%;" | Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | |- | ||
! Periods<br />per 8ve | |||
! Generator* | ! Generator* | ||
! Cents* | ! Cents* | ||
! Associated<br> | ! Associated<br />ratio* | ||
! Temperaments | ! Temperaments | ||
|- | |- | ||
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|- | |- | ||
| 2 | | 2 | ||
| 143\332<br>(23\332) | | 143\332<br />(23\332) | ||
| 516.87<br>(83.13) | | 516.87<br />(83.13) | ||
| 27/20<br>(21/20) | | 27/20<br />(21/20) | ||
| [[Harry]] | | [[Harry]] | ||
|- | |- | ||
| Line 82: | Line 84: | ||
| [[Kwazy]] | | [[Kwazy]] | ||
|} | |} | ||
<nowiki>* | <nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if distinct | ||
[[Category:Sedia]] | [[Category:Sedia]] | ||