Quartkeenlig: Difference between revisions
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For technical data see: [[Kleismic family#Quartkeenlig]] | For technical data see: [[Kleismic family#Quartkeenlig]] | ||
==Theory== | |||
== Theory == | |||
EDOs which support quartkeenlig: {{EDOs|68, 91, 159}}. | EDOs which support quartkeenlig: {{EDOs|68, 91, 159}}. | ||
The simplest mos of quartkeenlig is [[22L 1s]]. | The simplest mos of quartkeenlig is [[22L 1s]]. | ||
The fifth in the standard sense constitutes 13 steps, and it is close to the [[7edo]] fifth. In 91edo, it is exactly the 7edo fifth. However it should be noted that from a regular temperament theory perspective it is not mapped to [[3/2]]. In order to reach just 3/2, one would need to stack 36 generators. | The fifth in the standard sense constitutes 13 steps, and it is close to the [[7edo]] fifth. In 91edo, it is exactly the 7edo fifth. However it should be noted that from a regular temperament theory perspective it is not mapped to [[3/2]]. In order to reach just 3/2, one would need to stack 36 generators. | ||
=== Relationship to 23edo and octave stretching === | === Relationship to 23edo and octave stretching === | ||
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Other interval relationships also work. Quartkeenlig maps 5 steps to 7/6, and 6 steps to 6/5, which are the direct approximations stretched 23edo provides for these intervals. In addition, such a system would be fourthless like stretched 23edo, as [[4/3]] occurs nearly halfway between the 9th and 10th steps | Other interval relationships also work. Quartkeenlig maps 5 steps to 7/6, and 6 steps to 6/5, which are the direct approximations stretched 23edo provides for these intervals. In addition, such a system would be fourthless like stretched 23edo, as [[4/3]] occurs nearly halfway between the 9th and 10th steps | ||
[[Category:Temperaments]] | [[Category:Temperaments]] | ||
[[Category:Rank-2 temperaments]] | |||
[[Category:Kleismic family]] | [[Category:Kleismic family]] | ||
[[Category:Quartismic]] | [[Category:Quartismic]] | ||