332edo: Difference between revisions

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{{Infobox ET}}
{{Infobox ET}}
{{EDO intro|332}}
{{ED intro}}


== Theory ==
== Theory ==
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=== Subsets and supersets ===
=== Subsets and supersets ===
Since 332 factors into 2<sup>2</sup> × 83, 332edo has subset edos {{EDOs| 2, 4, 83, and 166 }}.
Since 332 factors into {{factorisation|332}}, 332edo has subset edos {{EDOs| 2, 4, 83, and 166 }}.


== Regular temperament properties ==
== Regular temperament properties ==
{{comma basis begin}}
{| 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
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| 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
{{comma basis end}}
|}


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{{rank-2 begin}}
{| 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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| 1125/1024
| 1125/1024
| [[Kwazy]]
| [[Kwazy]]
{{rank-2 end}}
|}
{{orf}}
<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]]