Meter - Revision history

FloraC: - data (addressed in the misc. page)

2025-11-29T07:09:17Z

- data (addressed in the misc. page)

← Older revision		Revision as of 07:09, 29 November 2025
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	== Temperaments ==		== Temperaments ==
	Tempering it out leads to the ~~'''~~metric temperament~~'''~~, which splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125\|septimal semicomma]]. It is also tempered out in [[septimal meantone]], but this is a trivial case since 81/80 and 225/224 are both tempered out.		[[Tempering out]] this comma leads to the [[metric]] temperament, which splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125\|septimal semicomma]]. It is also tempered out in [[septimal meantone]], but this is a trivial case since 81/80 and 225/224 are both tempered out.

	See [[~~metric~~ microtemperaments]] for a collection of rank-2 temperaments where it is tempered out.		See [[Metric microtemperaments]] for a collection of rank-2 temperaments where it is tempered out.

	~~=== Metric (31 & 171 & 323) ===~~
	~~[[Subgroup]]: 2.3.5.7~~

	~~[[Comma list]]: 703125/702464~~

	~~{{Mapping\|legend=1\| 1 0 2 1 \| 0 1 1 3 \| 0 0 -3 -7 }}~~

	~~[[Optimal tuning]] ([[POTE]]): ~3/2 = 701.8766, ~75/56 = 505.2613~~

	~~{{Optimal ET sequence\|legend=1\| 12, 19, 31, 81, 90, 102d, 109, 121, 140, 152, 171, 665, 836, 1007, 2185, 3192c }}~~

	~~[[Badness]]: 0.1498 × 10<sup>-3</sup>~~

	== Etymology ==		== Etymology ==
	This comma was first named as ''tertiaendec'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[tertiaseptal]]'' and ''[[enneadecal]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group \| ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later became ''meter'' in 2010<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13579 Revision as of 18:42, 1 June 2010 by Wikispaces>genewardsmith].</ref>.		This comma was first named as ''tertiaendec'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[tertiaseptal]]'' and ''[[enneadecal]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group \| ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later became ''meter'' in 2010<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13579 Revision as of 18:42, 1 June 2010 by Wikispaces>genewardsmith].</ref>.

	== ~~Notes~~ ==		== References ==

	[[Category:Metric (temperament)]]		[[Category:Metric (temperament)]]
	[[Category:Commas with unknown etymology]]		[[Category:Commas with unknown etymology]]

BudjarnLambeth at 23:20, 3 November 2024

2024-11-03T23:20:20Z

← Older revision		Revision as of 23:20, 3 November 2024
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	[[Category:Metric (temperament)]]		[[Category:Metric (temperament)]]
			[[Category:Commas with unknown etymology]]

FloraC: /* Etymology */ first attested in 2010

2024-10-23T10:53:40Z

Etymology: first attested in 2010

← Older revision		Revision as of 10:53, 23 October 2024
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	== Etymology ==		== Etymology ==
	This comma was first named as ''tertiaendec'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[tertiaseptal]]'' and ''[[enneadecal]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group \| ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later became ''meter''.		This comma was first named as ''tertiaendec'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[tertiaseptal]]'' and ''[[enneadecal]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group \| ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later became ''meter'' in 2010<ref>See [https://en.xen.wiki/index.php?title=Small_comma&oldid=13579 Revision as of 18:42, 1 June 2010 by Wikispaces>genewardsmith].</ref>.

	== Notes ==		== Notes ==

	[[Category:Metric (temperament)]]		[[Category:Metric (temperament)]]

ArrowHead294 at 12:16, 10 June 2024

2024-06-10T12:16:04Z

← Older revision		Revision as of 12:16, 10 June 2024
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	== Temperaments ==		== Temperaments ==
	Tempering it out leads to the '''metric temperament''', which splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125\|septimal semicomma]].		Tempering it out leads to the '''metric temperament''', which splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125\|septimal semicomma]]. It is also tempered out in [[septimal meantone]], but this is a trivial case since 81/80 and 225/224 are both tempered out.

	See [[metric microtemperaments]] for a collection of rank-2 temperaments where it is tempered out.		See [[metric microtemperaments]] for a collection of rank-2 temperaments where it is tempered out.

FloraC: Expansion

2024-01-02T12:16:54Z

Expansion

← Older revision		Revision as of 12:16, 2 January 2024
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 703125/702464		\| Ratio = 703125/702464
	\| Name = meter, metric ~~comma, meter~~ comma		\| Name = meter, metric comma
	\| Color name = Lr<sup>3</sup>y<sup>7</sup>-4, latriru-asepyo negative 4th		\| Color name = Lr<sup>3</sup>y<sup>7</sup>-4, latriru-asepyo negative 4th
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''meter''', also known as the '''metric comma''' ~~or the '''meter comma'''~~, is an [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] with ~~a ratio of '''703125/702464''' and~~ a value of approximately 1.6 ~~cents~~. It is the difference between a stack of three [[225/224\|septimal kleismas]] and a [[81/80\|syntonic comma]].		The '''meter''', also known as the '''metric comma''' ({{monzo\|legend=1\| -11 2 7 -3 }}, [[ratio]]: 703125/702464), is an [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] with a value of approximately 1.6 [[cent]]s. It is the difference between a stack of three [[225/224\|septimal kleismas]] and a [[81/80\|syntonic comma]].

	== Temperaments ==		== Temperaments ==
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	[[Comma list]]: 703125/702464		[[Comma list]]: 703125/702464

	~~[[Mapping]]: [~~{{~~val~~\| 1 0 2 1 ~~}}, {{val~~\| 0 1 1 3 ~~}}, {{val~~\| 0 0 -3 -7 }}]		{{Mapping\|legend=1\| 1 0 2 1 \| 0 1 1 3 \| 0 0 -3 -7 }}

	[[Optimal tuning]] ([[POTE]]): ~3/2 = 701.8766, ~75/56 = 505.2613		[[Optimal tuning]] ([[POTE]]): ~3/2 = 701.8766, ~75/56 = 505.2613
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	[[Badness]]: 0.1498 × 10<sup>-3</sup>		[[Badness]]: 0.1498 × 10<sup>-3</sup>

	== ~~See also~~ ==		== Etymology ==
	* [[~~Unnoticeable~~ comma]]		This comma was first named as ''tertiaendec'' by [[Gene Ward Smith]] in 2005 as a contraction of ''[[tertiaseptal]]'' and ''[[enneadecal]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group \| ''Seven limit comma names from pairs of temperament names'']</ref>. It is not clear how it later became ''meter''.

			== Notes ==

	[[Category:Metric (temperament)]]		[[Category:Metric (temperament)]]

Francium: Added color name

2023-09-08T05:51:53Z

Added color name

← Older revision		Revision as of 05:51, 8 September 2023
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	\| Ratio = 703125/702464		\| Ratio = 703125/702464
	\| Name = meter, metric comma, meter comma		\| Name = meter, metric comma, meter comma
			\| Color name = Lr<sup>3</sup>y<sup>7</sup>-4, latriru-asepyo negative 4th
	\| Comma = yes		\| Comma = yes
	}}		}}

Cmloegcmluin: "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

2023-05-07T18:31:27Z

"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

← Older revision		Revision as of 18:31, 7 May 2023
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	[[Optimal tuning]] ([[POTE]]): ~3/2 = 701.8766, ~75/56 = 505.2613		[[Optimal tuning]] ([[POTE]]): ~3/2 = 701.8766, ~75/56 = 505.2613

	{{~~Val list~~\|legend=1\| 12, 19, 31, 81, 90, 102d, 109, 121, 140, 152, 171, 665, 836, 1007, 2185, 3192c }}		{{Optimal ET sequence\|legend=1\| 12, 19, 31, 81, 90, 102d, 109, 121, 140, 152, 171, 665, 836, 1007, 2185, 3192c }}

	[[Badness]]: 0.1498 × 10<sup>-3</sup>		[[Badness]]: 0.1498 × 10<sup>-3</sup>

FloraC: -typo and update keys

2022-11-14T16:13:51Z

-typo and update keys

← Older revision		Revision as of 16:13, 14 November 2022
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	\| Comma = yes		\| Comma = yes
	}}		}}
			The '''meter''', also known as the '''metric comma''' or the '''meter comma''', is an [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] with a ratio of '''703125/702464''' and a value of approximately 1.6 cents. It is the difference between a stack of three [[225/224\|septimal kleismas]] and a [[81/80\|syntonic comma]].
	The '''meter''', also known as the '''metric comma''' or the '''meter comma''', is a [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] with a ratio of '''703125/702464''' and a value of approximately 1.6 cents. It is the difference between a stack of three [[225/224\|septimal kleismas]] and a [[81/80\|syntonic comma]].

	== Temperaments ==		== Temperaments ==
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	=== Metric (31 & 171 & 323) ===		=== Metric (31 & 171 & 323) ===
	Subgroup: 2.3.5.7		[[Subgroup]]: 2.3.5.7

	[[Comma list]]: 703125/702464		[[Comma list]]: 703125/702464
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	[[Mapping]]: [{{val\| 1 0 2 1 }}, {{val\| 0 1 1 3 }}, {{val\| 0 0 -3 -7 }}]		[[Mapping]]: [{{val\| 1 0 2 1 }}, {{val\| 0 1 1 3 }}, {{val\| 0 0 -3 -7 }}]

	[[POTE ~~generator~~]]s: ~3/2 = 701.8766, ~75/56 = 505.2613		[[Optimal tuning]] ([[POTE]]): ~3/2 = 701.8766, ~75/56 = 505.2613

	{{Val list\|legend=1\| 12, 19, 31, 81, 90, 102d, 109, 121, 140, 152, 171, 665, 836, 1007, 2185, 3192c }}		{{Val list\|legend=1\| 12, 19, 31, 81, 90, 102d, 109, 121, 140, 152, 171, 665, 836, 1007, 2185, 3192c }}

FloraC: FloraC moved page Meter comma to Meter over redirect: Primary name is "meter"

2022-11-14T16:08:47Z

FloraC moved page Meter comma to Meter over redirect: Primary name is "meter"

← Older revision	Revision as of 16:08, 14 November 2022
(No difference)

FloraC: Actually the name should be either "meter" or "metric comma"

2022-11-14T15:58:34Z

Actually the name should be either "meter" or "metric comma"

← Older revision		Revision as of 15:58, 14 November 2022
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 703125/702464		\| Ratio = 703125/702464
	\| Name = meter comma, meter		\| Name = meter, metric comma, meter comma
	\| Comma = yes		\| Comma = yes
	}}		}}

	The '''meter comma''', or ~~more simply,~~ the '''meter''', is a [[7-limit]] [[~~unnoticeable~~ comma]] with a ratio of '''703125/702464''' and a value of approximately 1.6 cents. It is the difference between a stack of three [[225/224\|septimal kleismas]] and a [[81/80\|syntonic comma]].		The '''meter''', also known as the '''metric comma''' or the '''meter comma''', is a [[unnoticeable comma\|unnoticeable]] [[7-limit]] [[comma]] with a ratio of '''703125/702464''' and a value of approximately 1.6 cents. It is the difference between a stack of three [[225/224\|septimal kleismas]] and a [[81/80\|syntonic comma]].

	== Temperaments ==		== Temperaments ==
	Tempering it out splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125\|septimal semicomma]].		Tempering it out leads to the '''metric temperament''', which splits the syntonic comma into three equal parts, one for the septimal kleisma, and two for the [[126/125\|septimal semicomma]].

			See [[metric microtemperaments]] for a collection of rank-2 temperaments where it is tempered out.

	=== Metric (31 & 171 & 323) ===		=== Metric (31 & 171 & 323) ===
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	== See also ==		== See also ==
	* [[Metric microtemperaments]], where it is tempered out
	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]

	[[Category:Metric (temperament)]]		[[Category:Metric (temperament)]]