Xenial comma: Difference between revisions

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Created page with "{{Infobox interval | Ratio = 129140163/125000000 | Name = xenial comma | Color name = Lg<sup>9</sup>2, latritrigu 2nd,<br>Latritrigu comma | Comma = yes }} The '''xenial comma''' ({{monzo|legend=1| -6 17 -9 }}, ratio: 129140163/125000000) is a 5-limit comma of about 56.4 cents. It belongs to the syntonic–kleismic equivalence continuum and is equal to the difference between a stack of nine ptolemaic whole tones and the 8/3|perfect eleventh..."
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== Temperaments ==
== Temperaments ==
[[Tempering out]] this comma leads to the [[Xenial|xenial family]] of temperaments. [[Patent val]]s which temper it out include those for {{EDOs| 19, 70, 89, 108, 127, 146 and 235 }}.
[[Tempering out]] this comma leads to the [[5-limit]] version of the [[xenial]] temperament. [[Patent val]]s which temper it out include those for {{EDOs| 19, 70, 89, 108, 127, 146 and 235 }}.


== Etymology ==
== Etymology ==
The comma was named by [[User:Xenllium|Xenllium]] in 2026, in terms of the corresponding temperament, ''xenial'', come from [[wiktionary:ξενία|ξενία]] (Greek for ''hospitable''), after its temperament property.  
The comma was named by [[User:Xenllium|Xenllium]] in 2026, in terms of the corresponding temperament, ''xenial'', come from [[wiktionary:ξενία|ξενία]] (Greek for ''hospitable''), after its temperament property. Despite the similar name, it is unrelated to the earlier named [[xenisma]].  


[[Category:Xenial]]
[[Category:Xenial]]
[[Category:Commas named for their regular temperament properties]]
[[Category:Commas named for their regular temperament properties]]