289edo: Difference between revisions

5-limit
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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|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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| 0.2657
| 0.2657
| 6.40
| 6.40
|}
{{comma basis end}}
* 289et has a lower absolute error in the 5-limit than any previous equal temperaments, past [[171edo|171]] and followed by [[323edo|323]].  
* 289et has a lower absolute error in the 5-limit than any previous equal temperaments, past [[171edo|171]] and followed by [[323edo|323]].  


=== Rank-2 temperaments ===
=== Rank-2 temperaments ===
{| class="wikitable center-all left-5"
{{rank-2 begin}}
! Periods<br>per 8ve
! Generator*
! Cents*
! Associated<br>Ratio*
! Temperaments
|-
|-
| 1
| 1
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|-
|-
| 17
| 17
| 93\289<br>(8\289)
| 93\289<br />(8\289)
| 386.16<br>(33.22)
| 386.16<br />(33.22)
| {{monzo| -23 5 9 -2 }}<br>(100352/98415)
| {{monzo| -23 5 9 -2 }}<br />(100352/98415)
| [[Chlorine]]
| [[Chlorine]]
|}
{{rank-2 end}}
<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct
{{orf}}


[[Category:History (temperament)]]
[[Category:Minor minthmic]]
[[Category:Minor minthmic]]
[[Category:History (temperament)]]
[[Category:Quincy]]
[[Category:Quintaschis]]
[[Category:Sextilififths]]
[[Category:Sextilififths]]
[[Category:Quintaschis]]
[[Category:Quincy]]