Escapade comma - Revision history

Jerdle: Fixed typo. ssp^94 would be very different.

2025-03-13T09:30:26Z

Fixed typo. ssp^94 would be very different.

← Older revision		Revision as of 09:30, 13 March 2025
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	\| Monzo = 32 -7 -9		\| Monzo = 32 -7 -9
	\| Name = escapade comma		\| Name = escapade comma
	\| Color name = ~~ssp~~<sup>9</sup>4, sasa-tritrigu 4th		\| Color name = ssg<sup>9</sup>4, sasa-tritrigu 4th
	\| Comma = yes		\| Comma = yes
	}}		}}

BudjarnLambeth at 12:31, 3 November 2024

2024-11-03T12:31:48Z

← Older revision		Revision as of 12:31, 3 November 2024
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	[[Category:Escapade]]		[[Category:Escapade]]
	[[Category:Commas named ~~for other reasons~~]]		[[Category:Commas named following events]]

BudjarnLambeth at 12:10, 3 November 2024

2024-11-03T12:10:16Z

← Older revision		Revision as of 12:10, 3 November 2024
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	[[Category:Escapade]]		[[Category:Escapade]]
			[[Category:Commas named for other reasons]]

FloraC: These inline maths look horrible; I'm taking the liberty of reverting them. Also misc. linking improvements

2024-04-24T15:23:46Z

These inline maths look horrible; I'm taking the liberty of reverting them. Also misc. linking improvements

← Older revision		Revision as of 15:23, 24 April 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''escapade comma''' (~~[[monzo]]:~~ {{monzo\| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, ~~<math>\left~~(~~\frac{~~4}{3~~}\right~~)^{7}/~~\left~~(~~\frac{~~5}{4~~}\right~~)^{9}</~~math~~>. This can also be written as ~~<math>\frac{~~5}{3}/~~\left~~(~~\frac{~~16}{15~~}\right~~)^{8}</~~math~~>, that is, the difference between a stack of eight [[16/15\|classic diatonic semitones]] and a [[5/3\|classic major sixth]]. It is ~~also~~ equal to two [[128/125\|lesser dieses]] minus three [[81/80\|syntonic commas]] and one [[15625/15552\|kleisma]], that is, ~~<math>\left~~(~~\frac{~~128}{125~~}\right~~)^{2}/~~\left~~(~~\left~~(~~\frac{~~15625}{15552~~}\right~~)~~\left~~(~~\frac{~~81}{80~~}\right~~)^{3~~}\right)~~</~~math~~>.		The '''escapade comma''' ({{monzo\|legend=1\| 32 -7 -9 }}) is a [[small comma\|small]] [[5-limit]] [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (5/3)/(16/15)<sup>8</sup>, that is, the difference between a stack of eight [[16/15\|classic diatonic semitones]] and a [[5/3\|classic major sixth]]. In terms of commas, it is equal to two [[128/125\|lesser dieses]] minus three [[81/80\|syntonic commas]] and one [[15625/15552\|kleisma]], that is, (128/125)<sup>2</sup>/((15625/15552)(81/80)<sup>3</sup>).

	== Temperaments ==		== Temperaments ==
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	== Etymology ==		== Etymology ==
	The escapade comma seems to have been named by [[Paul Erlich]] in 2002, referring to the fact that this comma "escaped" a 5-limit comma search by [[Carl Lumma]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>.		The escapade comma seems to have been named by [[Paul Erlich]] in 2002, referring to the fact that this comma "escaped" a 5-limit comma search by [[Carl Lumma]]<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>.

	~~== See also ==~~
	* [[Small comma]]

	== Notes ==		== Notes ==

	[[Category:Escapade]]		[[Category:Escapade]]

ArrowHead294 at 15:07, 24 April 2024

2024-04-24T15:07:47Z

← Older revision		Revision as of 15:07, 24 April 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''escapade comma''' ([[monzo]]: {{monzo\| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, <math>\left(\frac{4}{3}\right)^{7}\left(\frac{4}{5}\right)^{9}</math>. This can also be written as <math>\frac{5}{3}\left(\frac{15}{16}\right)^{8}</math>, that is, the difference between a stack of eight [[16/15\|classic diatonic semitones]] and a [[5/3\|classic major sixth]].		The '''escapade comma''' ([[monzo]]: {{monzo\| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, <math>\left(\frac{4}{3}\right)^{7}/\left(\frac{5}{4}\right)^{9}</math>. This can also be written as <math>\frac{5}{3}/\left(\frac{16}{15}\right)^{8}</math>, that is, the difference between a stack of eight [[16/15\|classic diatonic semitones]] and a [[5/3\|classic major sixth]]. It is also equal to two [[128/125\|lesser dieses]] minus three [[81/80\|syntonic commas]] and one [[15625/15552\|kleisma]], that is, <math>\left(\frac{128}{125}\right)^{2}/\left(\left(\frac{15625}{15552}\right)\left(\frac{81}{80}\right)^{3}\right)</math>.

	It is also equal to two [[128/125\|lesser dieses]] minus three [[81/80\|syntonic commas]] and one [[15625/15552\|kleisma]].

	== Temperaments ==		== Temperaments ==

ArrowHead294 at 15:05, 24 April 2024

2024-04-24T15:05:11Z

← Older revision		Revision as of 15:05, 24 April 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''escapade comma''' ([[monzo]]: {{monzo\| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, (4/3)~~<sup>~~7~~</sup>/~~(5/4)~~<sup>~~9</~~sup~~>. This can also be written as ~~(16/15)~~<~~sup~~>~~7</sup>/~~(~~5/4~~)~~<sup>2~~</~~sup~~>, that is, the difference between a stack of ~~seven~~ [[16/15]]'s and [[25/16]].		The '''escapade comma''' ([[monzo]]: {{monzo\| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, <math>\left(\frac{4}{3}\right)^{7}\left(\frac{4}{5}\right)^{9}</math>. This can also be written as <math>\frac{5}{3}\left(\frac{15}{16}\right)^{8}</math>, that is, the difference between a stack of eight [[16/15\|classic diatonic semitones]] and a [[5/3\|classic major sixth]].

	It is also equal to two [[128/125\|lesser dieses]] minus three [[81/80\|syntonic commas]] and one [[15625/15552\|kleisma]].		It is also equal to two [[128/125\|lesser dieses]] minus three [[81/80\|syntonic commas]] and one [[15625/15552\|kleisma]].

ArrowHead294 at 14:43, 24 April 2024

2024-04-24T14:43:51Z

← Older revision		Revision as of 14:43, 24 April 2024
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	The '''escapade comma''' ([[monzo]]: {{monzo\| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (16/15)<sup>7</sup>/(5/4)<sup>2</sup>, that is, the difference between a stack of seven [[16/15]]'s and [[25/16]].		The '''escapade comma''' ([[monzo]]: {{monzo\| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (16/15)<sup>7</sup>/(5/4)<sup>2</sup>, that is, the difference between a stack of seven [[16/15]]'s and [[25/16]].

	It is also ~~the amount by which~~ three [[81/80\|syntonic commas]] and one [[15625/15552\|kleisma~~]] are subtracted from two [[128/125\|lesser dieses~~]].		It is also equal to two [[128/125\|lesser dieses]] minus three [[81/80\|syntonic commas]] and one [[15625/15552\|kleisma]].

	== Temperaments ==		== Temperaments ==

ArrowHead294 at 14:43, 24 April 2024

2024-04-24T14:43:02Z

← Older revision		Revision as of 14:43, 24 April 2024
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	{{Infobox Interval		{{Infobox Interval
			\| Ratio = 4294967296/4271484375
	\| Monzo = 32 -7 -9		\| Monzo = 32 -7 -9
	\| Name = escapade comma		\| Name = escapade comma
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	}}		}}
	The '''escapade comma''' ([[monzo]]: {{monzo\| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (16/15)<sup>7</sup>/(5/4)<sup>2</sup>, that is, the difference between a stack of seven [[16/15]]'s and [[25/16]].		The '''escapade comma''' ([[monzo]]: {{monzo\| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (16/15)<sup>7</sup>/(5/4)<sup>2</sup>, that is, the difference between a stack of seven [[16/15]]'s and [[25/16]].

			It is also the amount by which three [[81/80\|syntonic commas]] and one [[15625/15552\|kleisma]] are subtracted from two [[128/125\|lesser dieses]].

	== Temperaments ==		== Temperaments ==

Francium: Added color name

2023-09-08T04:59:30Z

Added color name

← Older revision		Revision as of 04:59, 8 September 2023
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	\| Monzo = 32 -7 -9		\| Monzo = 32 -7 -9
	\| Name = escapade comma		\| Name = escapade comma
			\| Color name = ssp<sup>9</sup>4, sasa-tritrigu 4th
	\| Comma = yes		\| Comma = yes
	}}		}}

FloraC at 06:58, 14 May 2023

2023-05-14T06:58:19Z

← Older revision		Revision as of 06:58, 14 May 2023
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''escapade comma''', ([[monzo]]: {{monzo\| 32 -7 -9 }}), is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (16/15)<sup>7</sup>/(5/4)<sup>2</sup>, that is, the difference between a stack of seven [[16/15]]'s and [[25/16]].		The '''escapade comma''' ([[monzo]]: {{monzo\| 32 -7 -9 }}) is a [[comma]] with a size of 9.492 [[cent]]s. It is the difference between nine [[5/4\|just major thirds]] and seven [[4/3\|just perfect fourths]], that is, (4/3)<sup>7</sup>/(5/4)<sup>9</sup>. This can also be written as (16/15)<sup>7</sup>/(5/4)<sup>2</sup>, that is, the difference between a stack of seven [[16/15]]'s and [[25/16]].

	== Temperaments ==		== Temperaments ==