289edo: Difference between revisions
→Rank two temperaments by generator: spacing |
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=== Prime harmonics === | === Prime harmonics === | ||
{{Harmonics in equal|289}} | {{Harmonics in equal|289}} | ||
== Regular temperament properties == | == Regular temperament properties == | ||
289edo has decent 11 and 13-limit interpretations despite not being consistent. | 289edo has decent 11 and 13-limit interpretations despite not being consistent. | ||
=== Rank | === Rank-2 temperaments === | ||
{| class="wikitable center-all left-5" | {| class="wikitable center-all left-5" | ||
!Periods | ! Periods<br>per Octave | ||
per | ! Generator<br>(Reduced) | ||
!Generator | ! Cents<br>(Reduced) | ||
( | ! Associated<br>Ratio | ||
!Cents | ! Temperaments | ||
( | |||
!Associated | |||
!Temperaments | |||
|- | |- | ||
|1 | | 1 | ||
|20\289 | | 20\289 | ||
|83.045 | | 83.045 | ||
|21/20 | | 21/20 | ||
|[[Sextilififths]] | | [[Sextilififths]] | ||
|- | |- | ||
|17 | | 17 | ||
|93\289<br>(8\289) | | 93\289<br>(8\289) | ||
|386.159<br>(33.218) | | 386.159<br>(33.218) | ||
|{{monzo|-23 5 9 -2}}<br>(100352/98415) | | {{monzo|-23 5 9 -2}}<br>(100352/98415) | ||
|[[Chlorine]] | | [[Chlorine]] | ||
|} | |} | ||
<!-- 3-digit number --> | [[Category:Equal divisions of the octave|###]] <!-- 3-digit number --> | ||
[[Category:History (temperament)]] | [[Category:History (temperament)]] | ||
[[Category:Sextilififths]] | [[Category:Sextilififths]] | ||