User:Francium/2239edo: Difference between revisions
Created page with "{{Infobox ET}} {{ED intro}} == Theory == 2239edo is consistent to the 7-limit, tempering out 4375/4374, 3955078125/3954653486 and {{monzo|67 -22 -9 -4}}. As an equal temperament, it supports olympic. === Odd harmonics === {{Harmonics in equal|2239}}" |
m Text replacement - "{{Infobox ET}}" to "{{Infobox ET|debug=1}}" Tags: Mobile edit Mobile web edit |
||
| (4 intermediate revisions by one other user not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox ET}} | {{Infobox ET|debug=1}} | ||
{{ED intro}} | {{ED intro}} | ||
== Theory == | == Theory == | ||
2239edo is [[consistent]] to the [[7-limit]], [[tempering out]] [[4375/4374]], 3955078125/3954653486 and {{monzo|67 -22 -9 -4}}. As an equal temperament, it [[ | 2239edo is [[consistent]] to the [[7-limit]], [[tempering out]] [[4375/4374]], 3955078125/3954653486 and {{monzo|67 -22 -9 -4}}. As an equal temperament, it [[support]]s [[olympic]]. | ||
=== Odd harmonics === | === Odd harmonics === | ||
{{Harmonics in equal|2239}} | {{Harmonics in equal|2239}} | ||
=== Subsets and supersets === | |||
2239edo is the 333rd [[prime edo]]. | |||
== Regular temperament properties == | |||
{| class="wikitable center-4 center-5 center-6" | |||
! 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 | |||
| {{monzo|3549 -2239}} | |||
| {{mapping|2239 3549}} | |||
| −0.0455 | |||
| 0.0455 | |||
| 8.49 | |||
|- | |||
| 2.3.5 | |||
| {{monzo|63 -50 7}}, {{monzo|75 23 -48}} | |||
| {{mapping|2239 3549 5199}} | |||
| −0.0459 | |||
| 0.0371 | |||
| 6.92 | |||
|- | |||
| 2.3.5.7 | |||
| 4375/4374, 3955078125/3954653486, {{monzo|67 -22 -9 -4}} | |||
| {{mapping|2239 3549 5199 6286}} | |||
| −0.0503 | |||
| 0.0330 | |||
| 6.16 | |||
|- | |||
| 2.3.5.7.11 | |||
| 4375/4374, 131072/130977, 3294225/3294172, 246071287/246037500 | |||
| {{mapping|2239 3549 5199 6286 7746}} | |||
| −0.0506 | |||
| 0.0296 | |||
| 5.52 | |||
|} | |||