332edo: Difference between revisions
ArrowHead294 (talk | contribs) mNo edit summary |
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" | ||
|- | |||
! 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]] (%) | |||
|- | |- | ||
| 2.3.5 | | 2.3.5 | ||
| {{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 24: | 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 | ||
|} | |||
=== 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 | ||
Line 67: | Line 83: | ||
| 1125/1024 | | 1125/1024 | ||
| [[Kwazy]] | | [[Kwazy]] | ||
|} | |||
<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]] |