31edo: Difference between revisions

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== Regular temperament properties ==
== Regular temperament properties ==
{| class="wikitable center-4 center-5 center-6"
{{comma basis begin}}
! 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
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| 2.07
| 2.07
| 5.35
| 5.35
|}
{{comma basis end}}


31et is lower in relative error than any previous equal temperaments in the 7-, 11-, 13-, and 17-limit. The next equal temperaments doing better in those subgroups are 72, 72, 41, and 46, respectively.
31et is lower in relative error than any previous equal temperaments in the 7-, 11-, 13-, and 17-limit. The next equal temperaments doing better in those subgroups are 72, 72, 41, and 46, respectively.
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|+ style="font-size: 105%;" | Rank-2 temperaments by generators
|+ style="font-size: 105%;" | Rank-2 temperaments by generators
|-
|-
! Generator
! Generator*
! Cents
! Cents*
! Mos scales
! Mos scales
! Temperaments
! Temperaments
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| (P8, ccP4/5)
| (P8, ccP4/5)
|}
|}
{{orf}}


== Instruments ==
== Instruments ==