Harrison's comma - Revision history

VectorGraphics: Standardize comma names: Xxxx's comma -> xxxx comma

2025-09-09T03:07:03Z

Standardize comma names: Xxxx's comma -> xxxx comma

← Older revision		Revision as of 03:07, 9 September 2025
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	}}		}}

	'''59049/57344''', or '''Harrison's comma''', is the amount by which ten [[3/2]]'s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It factors into simpler [[comma]]s as ([[81/80]])<sup>2</sup>([[225/224]]), that is, two syntonic commas and a marvel comma.		'''59049/57344''', '''Harrison's comma''', or the '''harrison comma''', is the amount by which ten [[3/2]]'s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It factors into simpler [[comma]]s as ([[81/80]])<sup>2</sup>([[225/224]]), that is, two syntonic commas and a marvel comma.

	Tempering out this comma will map the 7/4 to the augmented sixth (e.g. C-A♯), and the only notable 7-limit temperament that does that is [[septimal meantone]].		Tempering out this comma will map the 7/4 to the augmented sixth (e.g. C-A♯), and the only notable 7-limit temperament that does that is [[septimal meantone]]. Similarly to other comma names, the 2.3.7 restriction of septimal meantone may be called ''harrison'' temperament.

	[[Category:Quartertone]]		[[Category:Quartertone]]

2024-11-04T02:47:37Z

← Older revision		Revision as of 02:47, 4 November 2024
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	[[Category:Meantone]]		[[Category:Meantone]]
	[[Category:Commas named after individuals]]		[[Category:Commas named after individuals]]
	{{todo\|add etymology}}		{{todo\|add etymology\|comment=Who was Harrison?}}

2024-11-03T08:04:07Z

← Older revision		Revision as of 08:04, 3 November 2024
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	[[Category:Quartertone]]		[[Category:Quartertone]]
	[[Category:Meantone]]		[[Category:Meantone]]
			[[Category:Commas named after individuals]]
	{{todo\|add etymology}}		{{todo\|add etymology}}

2024-10-25T06:06:31Z

Todo add etymology

2024-05-06T17:08:51Z

← Older revision		Revision as of 17:08, 6 May 2024
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	'''59049/57344''', or '''Harrison's comma''', is the amount by which ten [[3/2]]'s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It factors into simpler [[comma]]s as ([[81/80]])<sup>2</sup>([[225/224]]), that is, two syntonic commas and a marvel comma.		'''59049/57344''', or '''Harrison's comma''', is the amount by which ten [[3/2]]'s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It factors into simpler [[comma]]s as ([[81/80]])<sup>2</sup>([[225/224]]), that is, two syntonic commas and a marvel comma.

	Tempering out this comma will map the 7/4 to the augmented sixth (e.g. C-A#), and the only notable 7-limit temperament that does that is [[septimal meantone]].		Tempering out this comma will map the 7/4 to the augmented sixth (e.g. C-A♯), and the only notable 7-limit temperament that does that is [[septimal meantone]].

	[[Category:Quartertone]]		[[Category:Quartertone]]
	[[Category:Meantone]]		[[Category:Meantone]]

2024-03-02T08:50:34Z

Expand

← Older revision		Revision as of 08:50, 2 March 2024
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	}}		}}

	'''59049/57344''', or Harrison's ~~[[Comma\|~~comma]], is the amount by which ten [[3/2]]s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It ~~is tempered out in~~ [[~~Meantone family\|septimal meantone~~]], ~~where ten generators~~ is ~~mapped to~~ 7/4.		'''59049/57344''', or '''Harrison's comma''', is the amount by which ten [[3/2]]'s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It factors into simpler [[comma]]s as ([[81/80]])<sup>2</sup>([[225/224]]), that is, two syntonic commas and a marvel comma.

			Tempering out this comma will map the 7/4 to the augmented sixth (e.g. C-A#), and the only notable 7-limit temperament that does that is [[septimal meantone]].

	[[Category:Quartertone]]		[[Category:Quartertone]]
			[[Category:Meantone]]

2022-10-25T17:38:37Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:38, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| JI glyph =~~
	\| Ratio = 59049/57344		\| Ratio = 59049/57344
	~~\| Monzo = -13 10 0 -1~~
	~~\| Cents = 50.72410~~
	\| Name = Harrison's comma		\| Name = Harrison's comma
	\| Color name = Lr-2, Laru comma		\| Color name = Lr-2, Laru comma
	\| ~~FJS name =~~		\| Comma = yes
	~~\| Sound~~ =
	}}		}}

	'''59049/57344''', or Harrison's [[Comma\|comma]], is the amount by which ten [[3/2]]s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It is tempered out in [[Meantone family\|septimal meantone]], where ten generators is mapped to 7/4.		'''59049/57344''', or Harrison's [[Comma\|comma]], is the amount by which ten [[3/2]]s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It is tempered out in [[Meantone family\|septimal meantone]], where ten generators is mapped to 7/4.

	~~[[Category:Medium commas]]~~
	[[Category:Quartertone]]		[[Category:Quartertone]]

2022-03-20T21:53:43Z

← Older revision		Revision as of 21:53, 20 March 2022
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	'''59049/57344''', or Harrison's [[Comma\|comma]], is the amount by which ten [[3/2]]s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It is tempered out in [[Meantone family\|septimal meantone]], where ten generators is mapped to 7/4.		'''59049/57344''', or Harrison's [[Comma\|comma]], is the amount by which ten [[3/2]]s exceed [[7/4]] (all octave-reduced). In other words, (3/2)<sup>10</sup> = 7 ⋅ 59049/57344. It is tempered out in [[Meantone family\|septimal meantone]], where ten generators is mapped to 7/4.

	[[Category:Medium ~~comma~~]]		[[Category:Medium commas]]
	[[Category:Quartertone]]		[[Category:Quartertone]]

2022-02-13T06:17:10Z

added the color name

2021-01-09T12:50:32Z

FloraC moved page 59049/57344 to Harrison's comma: Ratio is a little bit too complex for a title

← Older revision	Revision as of 12:50, 9 January 2021
(No difference)