1029/1000 - Revision history

FloraC: + factorization into simpler commas

2026-01-21T12:12:14Z

+ factorization into simpler commas

← Older revision		Revision as of 12:12, 21 January 2026
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	}}		}}
	'''1029/1000''', the '''keega''', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[10/7]]'s and a perfect twelfth ([[3/1]]), or between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]), and arises from [[10/7]] being a convergent in the continued fraction of <math>\sqrt[3]{3}</math>.		'''1029/1000''', the '''keega''', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[10/7]]'s and a perfect twelfth ([[3/1]]), or between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]), and arises from [[10/7]] being a convergent in the continued fraction of <math>\sqrt[3]{3}</math>.

			It factors into simpler commas as ([[49/48]])⋅([[126/125]]) and ([[81/80]])⋅([[686/675]]).

	== Temperaments ==		== Temperaments ==

FloraC: + a more significant identity. Cleanup.

2026-01-21T12:04:35Z

+ a more significant identity. Cleanup.

← Older revision		Revision as of 12:04, 21 January 2026
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			{{Interwiki
			\| en = 1029/1000
			\| de = 1029/1000
			}}
	{{Infobox Interval		{{Infobox Interval
	\| Name = Keega		\| Name = Keega
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	\| Comma = yes		\| Comma = yes
	}}		}}
	~~{{interwiki~~		'''1029/1000''', the '''keega''', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[10/7]]'s and a perfect twelfth ([[3/1]]), or between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]), and arises from [[10/7]] being a convergent in the continued fraction of <math>\sqrt[3]{3}</math>.
	~~\| de = 1029/1000~~
	~~\| en = 1029/1000~~
	}}
	'''1029/1000''', the '''keega''', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]), and arises from [[10/7]] being a convergent in the continued fraction of <math>\sqrt[3]{3}</math>.

	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the 7-limit leads to the rank-3 [[keegic]] temperament. See [[~~keegic~~ temperaments]] for a collection of rank-2 temperaments where it is tempered out.		[[Tempering out]] this comma in the 7-limit leads to the rank-3 [[keegic]] temperament. See [[Keegic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==
	The name ''keega'' was given by [[Gene Ward Smith]] in 2005. It is a contraction of ''[[keemun]]'' and ''gawel'', although ''gawel'' was later renamed to ''[[liese]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group \| ''Seven limit comma names from pairs of temperament names'']</ref>.		The name ''keega'' was given by [[Gene Ward Smith]] in 2005. It is a contraction of ''[[keemun]]'' and ''gawel'', although ''gawel'' was later renamed to ''[[liese]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group \| ''Seven limit comma names from pairs of temperament names'']</ref>.

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

	[[Category:Keegic]]		[[Category:Keegic]]
	[[Category:Commas named by combining multiple temperament names]]		[[Category:Commas named by combining multiple temperament names]]

Hstraub: Link to German

2026-01-21T11:33:05Z

Link to German

← Older revision		Revision as of 11:33, 21 January 2026
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	\| Comma = yes		\| Comma = yes
	}}		}}
			{{interwiki
			\| de = 1029/1000
			\| en = 1029/1000
			}}
	'''1029/1000''', the '''keega''', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]), and arises from [[10/7]] being a convergent in the continued fraction of <math>\sqrt[3]{3}</math>.		'''1029/1000''', the '''keega''', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]), and arises from [[10/7]] being a convergent in the continued fraction of <math>\sqrt[3]{3}</math>.

BudjarnLambeth at 12:53, 3 November 2024

2024-11-03T12:53:07Z

← Older revision		Revision as of 12:53, 3 November 2024
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	[[Category:Keegic]]		[[Category:Keegic]]
	[[Category:Commas named ~~for their regular~~ temperament ~~properties~~]]		[[Category:Commas named by combining multiple temperament names]]

BudjarnLambeth at 06:54, 3 November 2024

2024-11-03T06:54:35Z

← Older revision		Revision as of 06:54, 3 November 2024
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	[[Category:Keegic]]		[[Category:Keegic]]
			[[Category:Commas named for their regular temperament properties]]

ArrowHead294 at 12:37, 10 June 2024

2024-06-10T12:37:22Z

← Older revision		Revision as of 12:37, 10 June 2024
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	}}		}}

	'''1029/1000''', the '''keega''', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]).		'''1029/1000''', the '''keega''', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]), and arises from [[10/7]] being a convergent in the continued fraction of <math>\sqrt[3]{3}</math>.

	== Temperaments ==		== Temperaments ==

FloraC: Minor style improvement

2024-01-02T10:59:24Z

Minor style improvement

← Older revision		Revision as of 10:59, 2 January 2024
Line 5:		Line 5:
	}}		}}

	'''1029/1000''', the '''~~Keega~~''' is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]).		'''1029/1000''', the '''keega''', is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]).

	== Temperaments ==		== Temperaments ==

FloraC: Expansion

2024-01-02T10:58:47Z

Expansion

← Older revision		Revision as of 10:58, 2 January 2024
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	{{Infobox Interval		{{Infobox Interval
	\|Name = Keega		\| Name = Keega
	\|Color name = z<sup>3</sup>g<sup>3</sup>3, trizogu 3rd		\| Color name = z<sup>3</sup>g<sup>3</sup>3, trizogu 3rd
	\|Comma = yes		\| Comma = yes
	}}		}}

	'''1029/1000''', the '''Keega''' is a [[7-limit]] [[~~medium~~ comma]] measuring about 49.5 ~~cents~~. It is the difference between a stack of three [[7/5]]s and a perfect eleventh ([[8/3]]). Tempering out this comma leads to the [[keegic temperaments]].		'''1029/1000''', the '''Keega''' is a [[medium comma\|medium]] [[7-limit]] [[comma]] measuring about 49.5 [[cent]]s. It is the difference between a stack of three [[7/5]]'s and a perfect eleventh ([[8/3]]).

			== Temperaments ==
			Tempering out this comma in the 7-limit leads to the rank-3 [[keegic]] temperament. See [[keegic temperaments]] for a collection of rank-2 temperaments where it is tempered out.

			== Etymology ==
			The name ''keega'' was given by [[Gene Ward Smith]] in 2005. It is a contraction of ''[[keemun]]'' and ''gawel'', although ''gawel'' was later renamed to ''[[liese]]''<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_12900.html Yahoo! Tuning Group \| ''Seven limit comma names from pairs of temperament names'']</ref>.

			== Notes ==

			[[Category:Keegic]]

Francium: Created page with "{{Infobox Interval |Name = Keega |Color name = z³g³3, trizogu 3rd |Comma = yes }} '''1029/1000''', the '''Keega''' is a 7-limit medium comma mea..."

2023-10-29T14:54:35Z

Created page with "{{Infobox Interval |Name = Keega |Color name = z3g33, trizogu 3rd |Comma = yes }} '''1029/1000''', the '''Keega''' is a 7-limit medium comma mea..."

New page

{{Infobox Interval
|Name = Keega
|Color name = z3g33, trizogu 3rd
|Comma = yes
}}

'''1029/1000''', the '''Keega''' is a [[7-limit]] [[medium comma]] measuring about 49.5 cents. It is the difference between a stack of three [[7/5]]s and a perfect eleventh ([[8/3]]). Tempering out this comma leads to the [[keegic temperaments]].