Negri comma - Revision history

FloraC: + 7-limit factorizations

2026-04-13T10:15:49Z

+ 7-limit factorizations

← Older revision		Revision as of 10:15, 13 April 2026
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	'''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four classical major thirds exceed three fourths, that is, ([[5/4]])<sup>4</sup>/([[4/3]])<sup>3</sup>, and is also the amount by which three [[16/15\|diatonic semitones (16/15)]] fall short of a classical major third, that is, (5/4)/(16/15)<sup>3</sup>. Another characterization of this comma is the difference between the [[256/243\|Pythagorean limma (256/243)]] and a stack of two [[25/24\|classical chromas (25/24)]].		'''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four classical major thirds exceed three fourths, that is, ([[5/4]])<sup>4</sup>/([[4/3]])<sup>3</sup>, and is also the amount by which three [[16/15\|diatonic semitones (16/15)]] fall short of a classical major third, that is, (5/4)/(16/15)<sup>3</sup>. Another characterization of this comma is the difference between the [[256/243\|Pythagorean limma (256/243)]] and a stack of two [[25/24\|classical chromas (25/24)]].

	It factors into simpler commas as ([[81/80]])([[3125/3072]]), the syntonic comma and the magic comma. Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].		It factors into simpler commas as ([[81/80]])⋅([[3125/3072]]), the syntonic comma and the magic comma. In the [[7-limit]], it factors into ([[225/224]])⋅([[525/512]]), (225/224)<sup>2</sup>⋅([[49/48]]), or (225/224)<sup>3</sup>⋅([[686/675]]).

			== Temperaments ==
			Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].

	== Etymology ==		== Etymology ==

FloraC: +another characterization

2024-11-12T12:40:05Z

+another characterization

← Older revision		Revision as of 12:40, 12 November 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
	'''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four major thirds exceed three fourths, that is, ([[5/4]])<sup>4</sup>/([[4/3]])<sup>3</sup>, and is also the amount by which three [[16/15\|diatonic semitones (16/15)]] fall short of a major third, that is, (5/4)/(16/15)<sup>3</sup>. It factors into simpler commas as ([[81/80]])([[3125/3072]]), the syntonic comma and the magic comma. Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].		'''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four classical major thirds exceed three fourths, that is, ([[5/4]])<sup>4</sup>/([[4/3]])<sup>3</sup>, and is also the amount by which three [[16/15\|diatonic semitones (16/15)]] fall short of a classical major third, that is, (5/4)/(16/15)<sup>3</sup>. Another characterization of this comma is the difference between the [[256/243\|Pythagorean limma (256/243)]] and a stack of two [[25/24\|classical chromas (25/24)]].

			It factors into simpler commas as ([[81/80]])([[3125/3072]]), the syntonic comma and the magic comma. Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].

	== Etymology ==		== Etymology ==

BudjarnLambeth at 02:31, 4 November 2024

2024-11-04T02:31:18Z

← Older revision		Revision as of 02:31, 4 November 2024
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	[[Category:Negri]]		[[Category:Negri]]
	[[Category:Commas named after ~~individuals~~]]		[[Category:Commas named after composers]]
			[[Category:Commas named after music theorists]]

BudjarnLambeth at 08:11, 3 November 2024

2024-11-03T08:11:40Z

← Older revision		Revision as of 08:11, 3 November 2024
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	[[Category:Negri]]		[[Category:Negri]]
			[[Category:Commas named after individuals]]

FloraC: /* Etymology */ correct the year with sources

2023-12-01T07:51:00Z

Etymology: correct the year with sources

← Older revision		Revision as of 07:51, 1 December 2023
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	== Etymology ==		== Etymology ==
	The corresponding temperament was discovered first, dubbed ''negri'' by [[Paul Erlich]] in ~~early 2002~~<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning~~-math~~/~~topicId_3774~~.html#~~3813~~ Yahoo! Tuning Group \| ''~~25 best weighted generator steps 5~~-limit ~~temperaments~~'']</ref>. The comma was at one point dubbed ''negrisma'' by [[Gene Ward Smith]] in late 2002, though it was ''negri comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group \| ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>.		The corresponding temperament was discovered first, dubbed ''negri'' by [[Paul Erlich]] in late 2001<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning/topicId_31054.html#31065 Yahoo! Tuning Group \| ''The grooviest linear temperaments for 7-limit music'']</ref> after John Negri's 10-out-of-19 maximally even scale<ref>"The Nineteen-Tone System as Ten Plus Nine". [https://interval.xentonic.org/tables-of-contents.html ''Interval, Journal of Music Research and Development''], pp. 11–13 of Volume 5, Number 3 (Winter 1986–1987). John Negri. </ref>. The comma was at one point dubbed ''negrisma'' by [[Gene Ward Smith]] in late 2002, though it was ''negri comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group \| ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>.

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

FloraC: +naming

2023-06-13T06:59:19Z

+naming

← Older revision		Revision as of 06:59, 13 June 2023
Line 6:		Line 6:
	}}		}}
	'''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four major thirds exceed three fourths, that is, ([[5/4]])<sup>4</sup>/([[4/3]])<sup>3</sup>, and is also the amount by which three [[16/15\|diatonic semitones (16/15)]] fall short of a major third, that is, (5/4)/(16/15)<sup>3</sup>. It factors into simpler commas as ([[81/80]])([[3125/3072]]), the syntonic comma and the magic comma. Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].		'''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four major thirds exceed three fourths, that is, ([[5/4]])<sup>4</sup>/([[4/3]])<sup>3</sup>, and is also the amount by which three [[16/15\|diatonic semitones (16/15)]] fall short of a major third, that is, (5/4)/(16/15)<sup>3</sup>. It factors into simpler commas as ([[81/80]])([[3125/3072]]), the syntonic comma and the magic comma. Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].

			== Etymology ==
			The corresponding temperament was discovered first, dubbed ''negri'' by [[Paul Erlich]] in early 2002<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_3774.html#3813 Yahoo! Tuning Group \| ''25 best weighted generator steps 5-limit temperaments'']</ref>. The comma was at one point dubbed ''negrisma'' by [[Gene Ward Smith]] in late 2002, though it was ''negri comma'' that stuck<ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5025.html Yahoo! Tuning Group \| ''5-limit comma names'']</ref><ref>[https://yahootuninggroupsultimatebackup.github.io/tuning-math/topicId_5080.html#5113 Yahoo! Tuning Group \| ''Ultimate 5-limit comma list'']</ref>.

	== See also ==		== See also ==
	* [[Negri]]
	* [[Medium comma]]		* [[Medium comma]]

			== Notes ==

	[[Category:Negri]]		[[Category:Negri]]

TallKite: added color name

2022-12-04T02:18:01Z

added color name

← Older revision		Revision as of 02:18, 4 December 2022
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	\| Ratio = 16875/16384		\| Ratio = 16875/16384
	\| Name = negri comma		\| Name = negri comma
			\| Color name = Ly<sup>4</sup>-2, Laquadyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Infobox Interval added

2022-10-27T16:19:24Z

Infobox Interval added

← Older revision		Revision as of 16:19, 27 October 2022
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			{{Infobox Interval
			\| Ratio = 16875/16384
			\| Name = negri comma
			\| Comma = yes
			}}
	'''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four major thirds exceed three fourths, that is, ([[5/4]])<sup>4</sup>/([[4/3]])<sup>3</sup>, and is also the amount by which three [[16/15\|diatonic semitones (16/15)]] fall short of a major third, that is, (5/4)/(16/15)<sup>3</sup>. It factors into simpler commas as ([[81/80]])([[3125/3072]]), the syntonic comma and the magic comma. Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].		'''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four major thirds exceed three fourths, that is, ([[5/4]])<sup>4</sup>/([[4/3]])<sup>3</sup>, and is also the amount by which three [[16/15\|diatonic semitones (16/15)]] fall short of a major third, that is, (5/4)/(16/15)<sup>3</sup>. It factors into simpler commas as ([[81/80]])([[3125/3072]]), the syntonic comma and the magic comma. Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].

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	* [[Medium comma]]		* [[Medium comma]]

	~~[[Category:5-limit]]~~
	~~[[Category:Medium commas]]~~
	[[Category:Negri]]		[[Category:Negri]]

FloraC: +factorization

2022-05-15T12:35:02Z

+factorization

← Older revision		Revision as of 12:35, 15 May 2022
Line 1:		Line 1:
	'''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four major thirds exceed three fourths, that is, ([[5/4]])<sup>4</sup>/([[4/3]])<sup>3</sup>, and is also the amount by which three [[16/15\|diatonic semitones (16/15)]] fall short of a major third, that is, (5/4)/(16/15)<sup>3</sup>. Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].		'''16875/16384''' is the 51.120 [[cent]] interval called the '''negri comma''' or double augmentation diesis. It is the amount by which four major thirds exceed three fourths, that is, ([[5/4]])<sup>4</sup>/([[4/3]])<sup>3</sup>, and is also the amount by which three [[16/15\|diatonic semitones (16/15)]] fall short of a major third, that is, (5/4)/(16/15)<sup>3</sup>. It factors into simpler commas as ([[81/80]])([[3125/3072]]), the syntonic comma and the magic comma. Tempering it out leads to [[5-limit]] [[negri]] temperament, which is closely associated with [[19edo]].

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

Fredg999 category edits: Moving from Category:Medium comma to Category:Medium commas using Cat-a-lot

2022-03-20T21:53:43Z

Moving from Category:Medium comma to Category:Medium commas using Cat-a-lot

← Older revision		Revision as of 21:53, 20 March 2022
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	[[Category:5-limit]]		[[Category:5-limit]]
	[[Category:Medium ~~comma~~]]		[[Category:Medium commas]]
	[[Category:Negri]]		[[Category:Negri]]