Amity comma - Revision history

FloraC: Cleanup

2025-08-21T11:14:42Z

Cleanup

← Older revision		Revision as of 11:14, 21 August 2025
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 1600000/1594323		\| Ratio = 1600000/1594323
	\| Name = amity comma		\| Name = amity comma, amiton
	\| Color name = sy<sup>5</sup>1, Saquinyo comma		\| Color name = sy<sup>5</sup>1, Saquinyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''amity comma''' or '''amiton''' ({{monzo\| 9 -13 5 }} ~~= '''~~1600000/1594323~~'''~~) is ~~an interval~~ of 6.154 ~~cents~~, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic–chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>).		The '''amity comma''' or '''amiton''' ({{monzo\|legend=1\| 9 -13 5 }}, [[ratio]]: 1600000/1594323) is a [[small comma\|small]] [[5-limit]] [[comma]] of 6.154 [[cent]]s, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic–chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>).

	== Temperaments ==		== Temperaments ==
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	== Etymology ==		== Etymology ==
	The corresponding temperament was discovered first and named by [[Gene Ward Smith]] as ''acute minor third'' or ''amt'' in 2001–2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064.html Yahoo! Tuning Group \| ''Kleismic & co'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3481.html Yahoo! Tuning Group \| ''32 best 5-limit linear temperaments redux'']</ref>. The temperament was renamed to ''amity'', and the comma was at one point dubbed ''amitisma'', both by Gene Ward Smith in late 2002, though it was ''amity comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group \| ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5114 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>. ~~The name~~ ''amiton'' ~~was suggested by Vector/Leriendil~~ by analogy with [[graviton]] (as both amity and gravity are on the ~~syntonic-chromatic~~ equivalence continuum).		The corresponding temperament was discovered first and named by [[Gene Ward Smith]] as ''acute minor third'' or ''amt'' in 2001–2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064.html Yahoo! Tuning Group \| ''Kleismic & co'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3481.html Yahoo! Tuning Group \| ''32 best 5-limit linear temperaments redux'']</ref>. The temperament was renamed to ''amity'', and the comma was at one point dubbed ''amitisma'', both by Gene Ward Smith in late 2002, though it was ''amity comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group \| ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5114 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>.

			In 2025, [[User: VectorGraphics\|Vector]] and [[Lériendil]] proposed ''amiton'' by analogy with [[graviton]], as both amity and gravity are on the syntonic–chromatic equivalence continuum.

	== See also ==		== See also ==

VectorGraphics at 06:03, 21 August 2025

2025-08-21T06:03:04Z

← Older revision		Revision as of 06:03, 21 August 2025
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''amity comma''' ({{monzo\| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic–chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>).		The '''amity comma''' or '''amiton''' ({{monzo\| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic–chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>).

	== Temperaments ==		== Temperaments ==
Line 11:		Line 11:

	== Etymology ==		== Etymology ==
	The corresponding temperament was discovered first and named by [[Gene Ward Smith]] as ''acute minor third'' or ''amt'' in 2001–2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064.html Yahoo! Tuning Group \| ''Kleismic & co'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3481.html Yahoo! Tuning Group \| ''32 best 5-limit linear temperaments redux'']</ref>. The temperament was renamed to ''amity'', and the comma was at one point dubbed ''amitisma'', both by Gene Ward Smith in late 2002, though it was ''amity comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group \| ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5114 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>.		The corresponding temperament was discovered first and named by [[Gene Ward Smith]] as ''acute minor third'' or ''amt'' in 2001–2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064.html Yahoo! Tuning Group \| ''Kleismic & co'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3481.html Yahoo! Tuning Group \| ''32 best 5-limit linear temperaments redux'']</ref>. The temperament was renamed to ''amity'', and the comma was at one point dubbed ''amitisma'', both by Gene Ward Smith in late 2002, though it was ''amity comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group \| ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5114 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>. The name ''amiton'' was suggested by Vector/Leriendil by analogy with [[graviton]] (as both amity and gravity are on the syntonic-chromatic equivalence continuum).

	== See also ==		== See also ==

FloraC: Update

2025-04-17T06:23:30Z

Update

← Older revision		Revision as of 06:23, 17 April 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''amity comma''' ({{monzo\| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[~~syntonic–chromatic~~ equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>).		The '''amity comma''' ({{monzo\| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic–chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>).

	== Temperaments ==		== Temperaments ==
Line 11:		Line 11:

	== Etymology ==		== Etymology ==
	The corresponding temperament was discovered first~~, known~~ as ''amt'' ~~(for~~ ''~~acute minor third~~''~~) no later than early 2002~~<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3481.html Yahoo! Tuning Group \| ''32 best 5-limit linear temperaments redux'']</ref>. The temperament was renamed to ''amity'', and the comma was at one point dubbed ''amitisma'', both by [[Gene Ward Smith]] in late 2002, though it was ''amity comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group \| ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5114 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>.		The corresponding temperament was discovered first and named by [[Gene Ward Smith]] as ''acute minor third'' or ''amt'' in 2001–2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_2064.html Yahoo! Tuning Group \| ''Kleismic & co'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3481.html Yahoo! Tuning Group \| ''32 best 5-limit linear temperaments redux'']</ref>. The temperament was renamed to ''amity'', and the comma was at one point dubbed ''amitisma'', both by Gene Ward Smith in late 2002, though it was ''amity comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group \| ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5114 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>.

	== See also ==		== See also ==

ArrowHead294 at 01:54, 4 December 2024

2024-12-04T01:54:38Z

← Older revision		Revision as of 01:54, 4 December 2024
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''amity comma''' ({{monzo\| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic-chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>).		The '''amity comma''' ({{monzo\| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic–chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>).

	== Temperaments ==		== Temperaments ==

BudjarnLambeth at 09:02, 3 November 2024

2024-11-03T09:02:56Z

← Older revision		Revision as of 09:02, 3 November 2024
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	[[Category:Amity\|#]] <!-- key article -->		[[Category:Amity\|#]] <!-- key article -->
	[[Category:Commas named ~~after individuals~~]]		[[Category:Commas named for their regular temperament properties]]

BudjarnLambeth at 09:02, 3 November 2024

2024-11-03T09:02:37Z

← Older revision		Revision as of 09:02, 3 November 2024
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	[[Category:Amity\|#]] <!-- key article -->		[[Category:Amity\|#]] <!-- key article -->
			[[Category:Commas named after individuals]]

FloraC: +naming

2023-05-14T07:33:04Z

+naming

← Older revision		Revision as of 07:33, 14 May 2023
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''amity comma''' ({{monzo\| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic-chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>). Tempering it out leads to the [[amity family]] of temperaments.		The '''amity comma''' ({{monzo\| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic-chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>).

			== Temperaments ==
			Tempering it out leads to the [[amity family]] of temperaments.

			== Etymology ==
			The corresponding temperament was discovered first, known as ''amt'' (for ''acute minor third'') no later than early 2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3481.html Yahoo! Tuning Group \| ''32 best 5-limit linear temperaments redux'']</ref>. The temperament was renamed to ''amity'', and the comma was at one point dubbed ''amitisma'', both by [[Gene Ward Smith]] in late 2002, though it was ''amity comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group \| ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5114 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>.

	== See also ==		== See also ==
	* [[Amity family]]
	* [[Small comma]]		* [[Small comma]]

			== Notes ==

	[[Category:Amity\|#]] <!-- key article -->		[[Category:Amity\|#]] <!-- key article -->

TallKite: added color name

2022-12-29T02:58:11Z

added color name

← Older revision		Revision as of 02:58, 29 December 2022
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	\| Ratio = 1600000/1594323		\| Ratio = 1600000/1594323
	\| Name = amity comma		\| Name = amity comma
			\| Color name = sy<sup>5</sup>1, Saquinyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Infobox Interval added

2022-10-27T16:07:27Z

Infobox Interval added

← Older revision		Revision as of 16:07, 27 October 2022
Line 1:		Line 1:
			{{Infobox Interval
			\| Ratio = 1600000/1594323
			\| Name = amity comma
			\| Comma = yes
			}}
	The '''amity comma''' ({{monzo\| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic-chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>). Tempering it out leads to the [[amity family]] of temperaments.		The '''amity comma''' ({{monzo\| 9 -13 5 }} = '''1600000/1594323''') is an interval of 6.154 cents, the amount by which five [[10/9\|minor whole tones (10/9)]] exceed the [[27/16\|Pythagorean major sixth (27/16)]]. It belongs to the [[syntonic-chromatic equivalence continuum]] and is equal to the difference between an [[apotome]] and a stack of five [[syntonic comma]]s ((2187/2048)/(81/80)<sup>5</sup>), or in terms of classic chromatic semitone, between a classic chromatic semitone and a stack of three syntonic commas ((25/24)/(81/80)<sup>3</sup>). Tempering it out leads to the [[amity family]] of temperaments.

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	* [[Small comma]]		* [[Small comma]]

	~~[[Category:5-limit]]~~
	~~[[Category:Small commas]]~~
	[[Category:Amity\|#]] <!-- key article -->		[[Category:Amity\|#]] <!-- key article -->

Fredg999 category edits: Moving from Category:Small comma to Category:Small commas using Cat-a-lot

2022-03-20T21:59:58Z

Moving from Category:Small comma to Category:Small commas using Cat-a-lot

← Older revision		Revision as of 21:59, 20 March 2022
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	[[Category:5-limit]]		[[Category:5-limit]]
	[[Category:Small ~~comma~~]]		[[Category:Small commas]]
	[[Category:Amity\|#]] <!-- key article -->		[[Category:Amity\|#]] <!-- key article -->