159edo: Difference between revisions
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→Regular temperament properties: cleanup; note its accuracy in the 19- and 23-limit; fill out the comma table |
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* 159et has lower absolute errors in the 19- and 23-limit than any previous equal temperaments, past [[152edo|152fg]]. The next equal temperament that does better in the 19-limit is [[161edo|161]], and in the 23-limit, [[183edo|183]]. | |||
Notably, while 159edo plays host to a number of fun temperaments like [[gamelismic]] and [[364/363|gentle]], a number of [[microtemperaments]] have also been found hiding within its structure. This means that 159edo is well-balanced in terms of the possibilities for interesting temperament usage. | Notably, while 159edo plays host to a number of fun temperaments like [[gamelismic]] and [[364/363|gentle]], a number of [[microtemperaments]] have also been found hiding within its structure. This means that 159edo is well-balanced in terms of the possibilities for interesting temperament usage. | ||
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| | | [[Triwellisma]] | ||
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| | | [[Catasma]] | ||
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|+Table of rank-2 temperaments by generator | |+Table of rank-2 temperaments by generator | ||
! Periods<br>per 8ve | ! Periods<br>per 8ve | ||
! Generator | ! Generator* | ||
! Cents | ! Cents* | ||
! Associated<br>Ratio | ! Associated<br>Ratio* | ||
! Temperament | ! Temperament | ||
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| [[Iodine]] | | [[Iodine]] | ||
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<nowiki>*</nowiki> [[Normal lists|octave-reduced form]], reduced to the first half-octave, and [[Normal lists|minimal form]] in parentheses if it is distinct | |||
== Music == | == Music == | ||