140edo: Difference between revisions

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== 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
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| 0.396
| 0.396
| 4.62
| 4.62
{{comma basis end}}
|}
* 140et has lower absolute errors than any previous equal temperaments in the 17-, 19-, and 23-limit, and perhaps beyond. In the 17-limit it is the first to beat [[121edo|121]] and is superseded by [[171edo|171]]. In the 19- and 23-limit it is the first to beat [[130edo|130]] and is superseded by [[152edo|152fg]].  
* 140et has lower absolute errors than any previous equal temperaments in the 17-, 19-, and 23-limit, and perhaps beyond. In the 17-limit it is the first to beat [[121edo|121]] and is superseded by [[171edo|171]]. In the 19- and 23-limit it is the first to beat [[130edo|130]] and is superseded by [[152edo|152fg]].  


=== 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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| 4/3<br />(126/125)
| 4/3<br />(126/125)
| [[Oquatonic]]
| [[Oquatonic]]
{{rank-2 end}}
|}
{{orf}}
<nowiki />* [[Normal lists|Octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct


[[Category:Countercata]]
[[Category:Countercata]]