FloraC: + note

2026-05-02T09:50:38Z

+ note

← Older revision		Revision as of 09:50, 2 May 2026
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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]]

Xenllium: Created page with "{{Infobox interval | Ratio = 129140163/125000000 | Name = xenial comma | Color name = Lg⁹2, latritrigu 2nd,
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..."

2026-05-02T04:17:32Z

Created page with "{{Infobox interval | Ratio = 129140163/125000000 | Name = xenial comma | Color name = Lg92, latritrigu 2nd, 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..."

New page

{{Infobox interval
| Ratio = 129140163/125000000
| Name = xenial comma
| Color name = Lg92, latritrigu 2nd, 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 [[cent]]s. It belongs to the [[syntonic–kleismic equivalence continuum]] and is equal to the difference between a stack of nine [[10/9|ptolemaic whole tone]]s and the [[8/3|perfect eleventh]] ((8/3)/(10/9)9), or in terms of commas, between a stack of three [[syntonic comma]]s and a [[15625/15552|kleisma]] ((81/80)3/(15625/15552)).

== 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 }}.

== 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.

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

Xenial comma - Revision history

FloraC: + note