Octagar temperaments: Difference between revisions

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== Slithy ==
== Slithy ==
Slithy tempers out 420175/419904, the [[wizma]], and may be described as the {{nowrap| 27 & 94 }} temperament with a [[ploidacot]] signature of 17-sheared 19-cot. [[94edo]], [[121edo]] and [[215edo]] can all be used as tunings.
[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7


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{{See also| 13th-octave temperaments #Tridecatonic }}
{{See also| 13th-octave temperaments #Tridecatonic }}


The tridecatonic temperament ({{nowrap| 26 & 39 }}) has a period of 1/13 octave. It tempers out the tridecalimma, {{monzo| -11 26 -13 }} in the 5-limit. There are some extensions for 7-limit, including tridecatonic ({{nowrap| 26 & 39d }}, tempering out 4000/3969), [[ragismic microtemperaments #Trideci|trideci]] ({{nowrap| 26 & 39 }}, tempering out 4375/4374), and [[26th-octave temperaments|bosonic]] ({{nowrap| 26 & 130 }}, tempering out 321489/320000).
Tridecatonic has a period of 1/13 octave, and may be described as {{nowrap| 26 & 39 }}. It tempers out [[devil's tridecalimma]], {{monzo| -11 26 -13 }} in the 5-limit. Its [[ploidacot]] is 13-ploid monocot.  


[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7
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== Dhaivatic ==
== Dhaivatic ==
Named by [[Xenllium]] in 2023, dhaivatic tempers out the [[rainy comma]] and may be described as the {{nowrap| 15 & 94 }} temperament. Its [[ploidacot]] is epsilon-21-cot.
[[Subgroup]]: 2.3.5.7
[[Subgroup]]: 2.3.5.7