Quintile comma - Revision history

FloraC: +etymology

2025-02-19T13:18:28Z

+etymology

← Older revision		Revision as of 13:18, 19 February 2025
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	== Temperaments ==		== Temperaments ==
	Tempering out this comma leads to the [[quintile family]] of temperaments.		Tempering out this comma leads to the [[quintile family]] of temperaments.

			== Etymology ==
			The corresponding temperament was discovered first, called ''pental'' by [[Petr Pařízek]] in 2012 for the fact that it splits the octave in five equal parts. In 2024, the community has decided to rename it to ''quintile'' for fear of confusion with the more common usage of the term ''pental'' to refer to the 5-limit.

	[[Category:Commas named for their periods per equave]]		[[Category:Commas named for their periods per equave]]

FloraC: -typo

2025-02-19T12:58:50Z

-typo

← Older revision		Revision as of 12:58, 19 February 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''quintile comma''' ({{monzo\|legend=1\| -28 25 -5 }}, [[ratio]]: 847 288 609 443 / 838 860 800 000) is a [[small comma\|small]] [[5-limit]] [[comma]] of about 17.306 [[cent]]s. It is the amount by which a stack of five grave fourths of [[320/243]] falls short of two [[octave]]s, or the amount by which a stack of five acute fifths of [[243/160]] exceeds three octaves. It is also the amount by which a stack of five [[81/80\|syntonic commas]] ~~exceed~~ a [[256/243\|Pythagorean limma]].		The '''quintile comma''' ({{monzo\|legend=1\| -28 25 -5 }}, [[ratio]]: 847 288 609 443 / 838 860 800 000) is a [[small comma\|small]] [[5-limit]] [[comma]] of about 17.306 [[cent]]s. It is the amount by which a stack of five grave fourths of [[320/243]] falls short of two [[octave]]s, or the amount by which a stack of five acute fifths of [[243/160]] exceeds three octaves. It is also the amount by which a stack of five [[81/80\|syntonic commas]] exceeds a [[256/243\|Pythagorean limma]].

	== Temperaments ==		== Temperaments ==

FloraC: Expand

2025-02-19T12:58:12Z

Expand

← Older revision		Revision as of 12:58, 19 February 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''quintile comma''' ({{monzo\|legend=1\| -28 25 -5 }}, [[ratio]]: 847 288 609 443 / 838 860 800 000) is a [[small comma\|small]] [[5-limit]] [[comma]] of about 17.306 [[cent]]s.		The '''quintile comma''' ({{monzo\|legend=1\| -28 25 -5 }}, [[ratio]]: 847 288 609 443 / 838 860 800 000) is a [[small comma\|small]] [[5-limit]] [[comma]] of about 17.306 [[cent]]s. It is the amount by which a stack of five grave fourths of [[320/243]] falls short of two [[octave]]s, or the amount by which a stack of five acute fifths of [[243/160]] exceeds three octaves. It is also the amount by which a stack of five [[81/80\|syntonic commas]] exceed a [[256/243\|Pythagorean limma]].

			== Temperaments ==
	Tempering out this comma leads to the [[quintile family]] of temperaments.		Tempering out this comma leads to the [[quintile family]] of temperaments.

	~~{{todo\|expand}}~~
	[[Category:Commas named for their periods per equave]]		[[Category:Commas named for their periods per equave]]

FloraC: FloraC moved page Pental comma to Quintile comma: Implement the community-anticipated rename

2025-02-19T12:05:21Z

FloraC moved page Pental comma to Quintile comma: Implement the community-anticipated rename

← Older revision	Revision as of 12:05, 19 February 2025
(No difference)

FloraC: Implement the community-anticipated rename

2025-02-19T12:05:02Z

Implement the community-anticipated rename

← Older revision		Revision as of 12:05, 19 February 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Name = ~~Pental~~ comma		\| Name = Quintile comma
	\| Monzo = -28 25 -5		\| Monzo = -28 25 -5
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''~~pental~~ comma''' is ~~an interval~~ of about 17.306 ~~cents. It has the monzo~~ [~~-28 25 -5⟩ and the ratio '''847288609443 / 838860800000'''~~.		The '''quintile comma''' ({{monzo\|legend=1\| -28 25 -5 }}, [[ratio]]: 847 288 609 443 / 838 860 800 000) is a [[small comma\|small]] [[5-limit]] [[comma]] of about 17.306 [[cent]]s.

	~~It defines~~ the [[~~pental~~ family]] of temperaments.		Tempering out this comma leads to the [[quintile family]] of temperaments.

	{{todo\|expand}}		{{todo\|expand}}
	[[Category:Commas named for their periods per equave]]		[[Category:Commas named for their periods per equave]]

BudjarnLambeth: Change/remove expand/stub in accordance with XW:IntTodo

2025-01-03T08:20:50Z

Change/remove expand/stub in accordance with XW:IntTodo

← Older revision		Revision as of 08:20, 3 January 2025
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	It defines the [[pental family]] of temperaments.		It defines the [[pental family]] of temperaments.
	~~{{stub}}~~

			{{todo\|expand}}
	[[Category:Commas named for their periods per equave]]		[[Category:Commas named for their periods per equave]]

BudjarnLambeth at 00:34, 4 November 2024

2024-11-04T00:34:29Z

← Older revision		Revision as of 00:34, 4 November 2024
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	{{stub}}		{{stub}}

	[[Category:Commas named for their ~~regular temperament properties~~]]		[[Category:Commas named for their periods per equave]]

BudjarnLambeth at 12:01, 3 November 2024

2024-11-03T12:01:03Z

← Older revision		Revision as of 12:01, 3 November 2024
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	It defines the [[pental family]] of temperaments.		It defines the [[pental family]] of temperaments.
	{{stub}}		{{stub}}

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

BudjarnLambeth: Create wanted page

2024-10-16T09:22:13Z

Create wanted page

New page

{{Infobox Interval
| Name = Pental comma
| Monzo = -28 25 -5
| Comma = yes
}}
The '''pental comma''' is an interval of about 17.306 cents. It has the monzo [-28 25 -5⟩ and the ratio '''847288609443 / 838860800000'''.

It defines the [[pental family]] of temperaments.
{{stub}}