Xenial comma: Difference between revisions
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..." Tags: Mobile edit Mobile web edit |
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== Temperaments == | == Temperaments == | ||
[[Tempering out]] this comma leads to the [[ | [[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]] | ||
Latest revision as of 09:50, 2 May 2026
| Interval information |
Latritrigu comma
The xenial comma (monzo: [-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 perfect eleventh ((8/3)/(10/9)9), or in terms of commas, between a stack of three syntonic commas and a kleisma ((81/80)3/(15625/15552)).
Temperaments
Tempering out this comma leads to the 5-limit version of the xenial temperament. Patent vals which temper it out include those for 19, 70, 89, 108, 127, 146 and 235.
Etymology
The comma was named by Xenllium in 2026, in terms of the corresponding temperament, xenial, come from ξενία (Greek for hospitable), after its temperament property. Despite the similar name, it is unrelated to the earlier named xenisma.