589edo: Difference between revisions
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{{Infobox ET}} | {{Infobox ET}} | ||
{{ | {{ED intro}} | ||
== Theory == | == Theory == | ||
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=== Subsets and supersets === | === Subsets and supersets === | ||
589 factors into | Since 589 factors into {{factorization|589}}, 589edo contains [[19edo]] and [[31edo]] as subsets. [[1178edo]], which doubles it, gives good corrections to harmonics 3, 5, 7, 11, 13, and 17. | ||
== Regular temperament properties == | == Regular temperament properties == | ||
{| class="wikitable center-4 center-5 center-6" | {| class="wikitable center-4 center-5 center-6" | ||
|- | |||
! rowspan="2" | [[Subgroup]] | ! rowspan="2" | [[Subgroup]] | ||
! rowspan="2" | [[Comma list | ! rowspan="2" | [[Comma list]] | ||
! rowspan="2" | [[Mapping]] | ! rowspan="2" | [[Mapping]] | ||
! rowspan="2" | Optimal<br>8ve | ! rowspan="2" | Optimal<br>8ve stretch (¢) | ||
! colspan="2" | Tuning | ! colspan="2" | Tuning error | ||
|- | |- | ||
! [[TE error|Absolute]] (¢) | ! [[TE error|Absolute]] (¢) | ||
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| {{monzo| -37 19 -10 }}, {{monzo| 72 0 -31 }} | | {{monzo| -37 19 -10 }}, {{monzo| 72 0 -31 }} | ||
| {{mapping| 589 1867 1368 }} | | {{mapping| 589 1867 1368 }} | ||
| | | −0.0940 | ||
| 0.1734 | | 0.1734 | ||
| 8.51 | | 8.51 | ||