Semicomma - Revision history

VectorGraphics at 06:41, 25 June 2025

2025-06-25T06:41:10Z

← Older revision		Revision as of 06:41, 25 June 2025
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the 5-limit leads to the [[orson]] temperament.		[[Tempering out]] this comma in the 5-limit leads to the [[orson]] temperament.

			== Name ==
			Given the other intervals called "semicomma", it is likely that "semicomma" refers to the comma's size as about half the size of the syntonic comma. The name "Fokker's comma" comes from [[Adriaan Fokker]].

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

FloraC: Sectioning, linking and misc. style improvements

2025-04-01T11:12:10Z

Sectioning, linking and misc. style improvements

← Older revision		Revision as of 11:12, 1 April 2025
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''semicomma''' or '''Fokker's comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo\| -21 3 7 }}), is ~~an interval~~ of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. It is also the difference between the 31-comma ({{nowrap\|3<sup>31</sup>/2<sup>49</sup>}}) and seven syntonic commas ([[81/80]]). Tempering it out leads to the [[~~Orson~~]] temperament.		The '''semicomma''' or '''Fokker's comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo\| -21 3 7 }}), is a [[small comma\|small]] [[5-limit]] [[comma]] of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. It is also the difference between the [[31-comma]] ({{nowrap\|3<sup>31</sup>/2<sup>49</sup>}}) and seven syntonic commas ([[81/80]]).

			== Temperaments ==
			[[Tempering out]] this comma in the 5-limit leads to the [[orson]] temperament.

	== See also ==		== See also ==
Line 17:		Line 20:
	[[Category:Commas named after composers]]		[[Category:Commas named after composers]]
	[[Category:Commas named after music theorists]]		[[Category:Commas named after music theorists]]
	{{~~todo~~\|add etymology\|comment=Explain the reasoning behind the name "semicomma". Why is 2109375/2097152 uniquely deserving of the name?}}		{{Todo\|add etymology\|comment=Explain the reasoning behind the name "semicomma". Why is 2109375/2097152 uniquely deserving of the name?}}

ArrowHead294 at 14:15, 31 March 2025

2025-03-31T14:15:02Z

← Older revision		Revision as of 14:15, 31 March 2025
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''semicomma''' or '''Fokker's comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo\| -21 3 7 }}), is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. ~~Tempering it out leads to the [[Orson]] temperament.~~		The '''semicomma''' or '''Fokker's comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo\| -21 3 7 }}), is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. It is also the difference between the 31-comma ({{nowrap\|3<sup>31</sup>/2<sup>49</sup>}}) and seven syntonic commas ([[81/80]]). Tempering it out leads to the [[Orson]] temperament.

	~~Most notably, it~~ is ~~tempered out in [[31edo]] as~~ the difference between the 31-comma ({{nowrap\|3<sup>31</sup>/2<sup>49</sup>}}) and seven syntonic commas ([[81/80]]).

	== See also ==		== See also ==
Line 19:		Line 17:
	[[Category:Commas named after composers]]		[[Category:Commas named after composers]]
	[[Category:Commas named after music theorists]]		[[Category:Commas named after music theorists]]
	{{todo\|add etymology\|comment=~~explain~~ the reasoning behind the name ~~“semicomma”?~~ Why is 2109375/2097152 uniquely deserving of the name?}}		{{todo\|add etymology\|comment=Explain the reasoning behind the name "semicomma". Why is 2109375/2097152 uniquely deserving of the name?}}

ArrowHead294 at 14:12, 31 March 2025

2025-03-31T14:12:50Z

← Older revision		Revision as of 14:12, 31 March 2025
Line 5:		Line 5:
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''semicomma''' or '''Fokker's comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo\| -21 3 7 }}), is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. Tempering it out leads to [[~~orson~~]] temperament.		The '''semicomma''' or '''Fokker's comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo\| -21 3 7 }}), is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. Tempering it out leads to the [[Orson]] temperament.

			Most notably, it is tempered out in [[31edo]] as the difference between the 31-comma ({{nowrap\|3<sup>31</sup>/2<sup>49</sup>}}) and seven syntonic commas ([[81/80]]).

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

BudjarnLambeth at 02:42, 4 November 2024

2024-11-04T02:42:38Z

← Older revision		Revision as of 02:42, 4 November 2024
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	[[Category:Orson]]		[[Category:Orson]]
	[[Category:Commas with unknown etymology]]		[[Category:Commas with unknown etymology]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after composers]]
			[[Category:Commas named after music theorists]]
	{{todo\|add etymology\|comment=explain the reasoning behind the name “semicomma”? Why is 2109375/2097152 uniquely deserving of the name?}}		{{todo\|add etymology\|comment=explain the reasoning behind the name “semicomma”? Why is 2109375/2097152 uniquely deserving of the name?}}

BudjarnLambeth at 12:08, 3 November 2024

2024-11-03T12:08:58Z

← Older revision		Revision as of 12:08, 3 November 2024
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	[[Category:Orson]]		[[Category:Orson]]
			[[Category:Commas with unknown etymology]]
			[[Category:Commas named after individuals]]
			{{todo\|add etymology\|comment=explain the reasoning behind the name “semicomma”? Why is 2109375/2097152 uniquely deserving of the name?}}

Xenllium at 08:15, 26 November 2023

2023-11-26T08:15:47Z

← Older revision		Revision as of 08:15, 26 November 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 2109375/2097152		\| Ratio = 2109375/2097152
	\| Name = semicomma, Fokker comma		\| Name = semicomma, <br>orson comma, <br>Fokker's comma
	\| Color name = Ly<sup>7</sup>-3, Lasepyo comma		\| Color name = Ly<sup>7</sup>-3, Lasepyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}
	The '''semicomma''' or '''Fokker comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo\| -21 3 7 }}), is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. Tempering it out leads to [[orson]] temperament.		The '''semicomma''' or '''Fokker's comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo\| -21 3 7 }}), is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. Tempering it out leads to [[orson]] temperament.

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

TallKite at 03:24, 29 December 2022

2022-12-29T03:24:51Z

← Older revision		Revision as of 03:24, 29 December 2022
Line 2:		Line 2:
	\| Ratio = 2109375/2097152		\| Ratio = 2109375/2097152
	\| Name = semicomma, Fokker comma		\| Name = semicomma, Fokker comma
			\| Color name = Ly<sup>7</sup>-3, Lasepyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Infobox Interval added

2022-10-27T16:13:43Z

Infobox Interval added

← Older revision		Revision as of 16:13, 27 October 2022
Line 1:		Line 1:
			{{Infobox Interval
			\| Ratio = 2109375/2097152
			\| Name = semicomma, Fokker comma
			\| Comma = yes
			}}
	The '''semicomma''' or '''Fokker comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo\| -21 3 7 }}), is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. Tempering it out leads to [[orson]] temperament.		The '''semicomma''' or '''Fokker comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo\| -21 3 7 }}), is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. Tempering it out leads to [[orson]] temperament.

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	* Semicomma majeur, aka [[15625/15552\|kleisma]]		* Semicomma majeur, aka [[15625/15552\|kleisma]]

	~~[[Category:5-limit]]~~
	~~[[Category:Small commas]]~~
	[[Category:Orson]]		[[Category:Orson]]

FloraC: Improve intro, factorization, +category

2022-05-15T12:29:45Z

Improve intro, factorization, +category

← Older revision		Revision as of 12:29, 15 May 2022
Line 1:		Line 1:
	~~'''2109375/2097152''' = {{Monzo\| -21 3 7 }}, called the~~ '''semicomma''' or '''Fokker comma''', is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)^3/(8/5), which can also be written ((9/8)*(25/24))^3/(8/5). Tempering it out leads to [[orson]] temperament.		The '''semicomma''' or '''Fokker comma''' ([[ratio]]: 2109375/2097152, [[monzo]]: {{monzo\| -21 3 7 }}), is an interval of 10.061 [[cent]]s which is the amount by which three classic augmented second intervals of [[75/64]] exceed [[8/5]]. That means (75/64)<sup>3</sup>/(8/5), which can also be written ((9/8)(25/24))<sup>3</sup>/(8/5). In terms of commas, it factors into simpler commas as ([[15625/15552]])([[32805/32768]]), the kleisma and the schisma. Tempering it out leads to [[orson]] temperament.

	== See also ==		== See also ==
Line 9:		Line 9:
	[[Category:5-limit]]		[[Category:5-limit]]
	[[Category:Small commas]]		[[Category:Small commas]]
			[[Category:Orson]]