935edo: Difference between revisions
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* 935et has lower absolute errors than any previous equal temperaments in the 13-, 17-, 19- and 23-limit. It is the first to beat [[764edo|764]] in the 13-limit, [[814edo|814]] in the 17- and 23-limit, and [[742edo|742]] in the 19-limit, only to be bettered by [[954edo|954h]] in all of those subgroups. | * 935et has lower absolute errors than any previous equal temperaments in the 13-, 17-, 19- and 23-limit. It is the first to beat [[764edo|764]] in the 13-limit, [[814edo|814]] in the 17- and 23-limit, and [[742edo|742]] in the 19-limit, only to be bettered by [[954edo|954h]] in all of those subgroups. | ||
=== Rank-2 temperaments === | |||
{| 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 | |||
| 103\935 | |||
| 132.19 | |||
| {{Monzo| -38 5 13 }} | |||
| [[Astro]] | |||
|- | |||
| 1 | |||
| 339\935 | |||
| 435.08 | |||
| 9/7 | |||
| [[Supermajor (temperament)|Supermajor]] | |||
|- | |||
| 1 | |||
| 442\935 | |||
| 567.27 | |||
| 104/75 | |||
| [[Alphatrillium]] | |||
|- | |||
| 17 | |||
| 194\935<br>(26\935) | |||
| 248.98<br>(33.37) | |||
| {{Monzo| -23 5 9 -2 }}<br>(100352/98415) | |||
| [[Chlorine]] | |||
|} | |||
<nowiki/>* [[Normal forms #Equave-reduced-generator form|Octave-reduced form]], reduced to the first half-octave, and [[Normal forms|minimal form]] in parentheses if distinct | |||