105/104 - Revision history

Lucius Chiaraviglio: Fix link to triangular superparticulars

2026-06-29T14:43:30Z

Fix link to triangular superparticulars

← Older revision		Revision as of 14:43, 29 June 2026
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	'''105/104''', the '''animist comma''', is a [[13-limit]] [[superparticular]] [[small comma]]. It arises in several places in 13-limit just intonation, most notably as the difference between [[15/8]] and [[13/7]], between [[8/5]] and [[21/13]], between [[8/7]] and [[15/13]], and between [[21/16]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[16/15]] and [[14/13]], between [[5/4]] and [[26/21]], between [[7/4]] and [[26/15]], and between [[32/21]] and [[20/13]]).		'''105/104''', the '''animist comma''', is a [[13-limit]] [[superparticular]] [[small comma]]. It arises in several places in 13-limit just intonation, most notably as the difference between [[15/8]] and [[13/7]], between [[8/5]] and [[21/13]], between [[8/7]] and [[15/13]], and between [[21/16]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[16/15]] and [[14/13]], between [[5/4]] and [[26/21]], between [[7/4]] and [[26/15]], and between [[32/21]] and [[20/13]]).

	Being a [[~~square superparticular~~\|triangle superparticular]], it factors neatly into ([[196/195]])([[225/224]]).		Being a [[S-expression#Sk⋅S(k_+_1)_(triangle-particulars)\|triangle superparticular]], it factors neatly into ([[196/195]])([[225/224]]).

	== Temperaments ==		== Temperaments ==

Jdood at 15:11, 5 December 2024

2024-12-05T15:11:57Z

← Older revision		Revision as of 15:11, 5 December 2024
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	}}		}}

	'''105/104''', the '''animist comma''', is a [[13-limit]] [[small comma]]. It arises in several places in 13-limit just intonation, most notably as the difference between [[15/8]] and [[13/7]], between [[8/5]] and [[21/13]], between [[8/7]] and [[15/13]], and between [[21/16]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[16/15]] and [[14/13]], between [[5/4]] and [[26/21]], between [[7/4]] and [[26/15]], and between [[32/21]] and [[20/13]]).		'''105/104''', the '''animist comma''', is a [[13-limit]] [[superparticular]] [[small comma]]. It arises in several places in 13-limit just intonation, most notably as the difference between [[15/8]] and [[13/7]], between [[8/5]] and [[21/13]], between [[8/7]] and [[15/13]], and between [[21/16]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[16/15]] and [[14/13]], between [[5/4]] and [[26/21]], between [[7/4]] and [[26/15]], and between [[32/21]] and [[20/13]]).

	Being a [[square superparticular\|triangle superparticular]], it factors neatly into ([[196/195]])([[225/224]]).		Being a [[square superparticular\|triangle superparticular]], it factors neatly into ([[196/195]])([[225/224]]).

BudjarnLambeth at 23:13, 15 November 2024

2024-11-15T23:13:41Z

← Older revision		Revision as of 23:13, 15 November 2024
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	[[Category:Animist]]		[[Category:Animist]]
			[[Category:Commas with unknown etymology]]

FloraC: +context about the obvious temperament

2024-03-13T06:50:00Z

+context about the obvious temperament

← Older revision		Revision as of 06:50, 13 March 2024
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	'''105/104''', the '''animist comma''', is a [[13-limit]] [[small comma]]. It arises in several places in 13-limit just intonation, most notably as the difference between [[15/8]] and [[13/7]], between [[8/5]] and [[21/13]], between [[8/7]] and [[15/13]], and between [[21/16]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[16/15]] and [[14/13]], between [[5/4]] and [[26/21]], between [[7/4]] and [[26/15]], and between [[32/21]] and [[20/13]]).		'''105/104''', the '''animist comma''', is a [[13-limit]] [[small comma]]. It arises in several places in 13-limit just intonation, most notably as the difference between [[15/8]] and [[13/7]], between [[8/5]] and [[21/13]], between [[8/7]] and [[15/13]], and between [[21/16]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[16/15]] and [[14/13]], between [[5/4]] and [[26/21]], between [[7/4]] and [[26/15]], and between [[32/21]] and [[20/13]]).

			Being a [[square superparticular\|triangle superparticular]], it factors neatly into ([[196/195]])([[225/224]]).

	== Temperaments ==		== Temperaments ==
	Tempering out this comma leads to a form of '''animist temperament'''. An obvious further temperament is to temper out [[196/195]] and/or [[~~225~~/~~224~~]]~~, which~~ in the 2.3.5.7.13 [[subgroup]] is an [[extension]] of [[marvel]] and a [[restriction]] of [[tripod]].		Tempering out this comma leads to a form of '''animist temperament'''. An obvious further temperament is to temper out 196/195 and/or 225/224, equating [[15/14]] with 14/13~16/15. This in the 2.3.5.7.13 [[subgroup]] is an [[extension]] of [[marvel]] and a [[restriction]] of [[tripod]].

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

FloraC: Expand

2024-03-13T04:37:32Z

Expand

← Older revision		Revision as of 04:37, 13 March 2024
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	}}		}}

	'''105/104''', the '''animist comma''', is a [[13-limit]] [[small comma]]. It is the difference between [[5/4]] and [[26/21]], and between [[6/5]] and [[63/52]] (and their [[octave complement]]s, i.e. between [[8/5]] and [[21/13]], and between [[5/3]] and [[~~104~~/63]]).		'''105/104''', the '''animist comma''', is a [[13-limit]] [[small comma]]. It arises in several places in 13-limit just intonation, most notably as the difference between [[15/8]] and [[13/7]], between [[8/5]] and [[21/13]], between [[8/7]] and [[15/13]], and between [[21/16]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[16/15]] and [[14/13]], between [[5/4]] and [[26/21]], between [[7/4]] and [[26/15]], and between [[32/21]] and [[20/13]]).

			== Temperaments ==
			Tempering out this comma leads to a form of '''animist temperament'''. An obvious further temperament is to temper out [[196/195]] and/or [[225/224]], which in the 2.3.5.7.13 [[subgroup]] is an [[extension]] of [[marvel]] and a [[restriction]] of [[tripod]].

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

TallKite at 02:22, 10 January 2023

2023-01-10T02:22:52Z

← Older revision		Revision as of 02:22, 10 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = animist comma, small tridecimal comma		\| Name = animist comma, small tridecimal comma
	\| Color name = 3uzy1, thuzoyo unison		\| Color name = 3uzy1, thuzoyo unison,<br>Thuzoyo comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T13:59:16Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 13:59, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~		\| Name = animist comma, small tridecimal comma
	~~\| Ratio = 105/104~~
	~~\| Monzo = -3 1 1 1 0 -1~~
	~~\| Cents = 16.56696~~
	\| Name = animist comma, ~~<br>~~small tridecimal comma
	\| Color name = 3uzy1, thuzoyo unison		\| Color name = 3uzy1, thuzoyo unison
	\| ~~FJS name = A1<sup>5,7</sup><sub>13</sub>~~		\| Comma = yes
	~~\| Sound~~ =
	}}		}}

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	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

	~~[[Category:13-limit]]~~
	~~[[Category:Small commas]]~~
	~~[[Category:Superparticular]]~~
	[[Category:Animist]]		[[Category:Animist]]

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

2022-03-20T21:59:54Z

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

← Older revision		Revision as of 21:59, 20 March 2022
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	[[Category:13-limit]]		[[Category:13-limit]]
	[[Category:Small ~~comma~~]]		[[Category:Small commas]]
	[[Category:Superparticular]]		[[Category:Superparticular]]
	[[Category:Animist]]		[[Category:Animist]]

FloraC: Correction

2021-12-12T12:18:28Z

Correction

← Older revision		Revision as of 12:18, 12 December 2021
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	}}		}}

	'''105/104''', the '''animist comma''', is a [[13-limit]] [[small comma]]. It is the difference between ~~the~~ [[40/33]] and [[63/52]] ~~supraminor thirds~~ (and their [[octave complement]]s, ~~the~~ [[33/20]] and [[104/63]] ~~submajor sixths~~).		'''105/104''', the '''animist comma''', is a [[13-limit]] [[small comma]]. It is the difference between [[5/4]] and [[26/21]], and between [[6/5]] and [[63/52]] (and their [[octave complement]]s, i.e. between [[8/5]] and [[21/13]], and between [[5/3]] and [[104/63]]).

	== See also ==		== See also ==
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	[[Category:Small comma]]		[[Category:Small comma]]
	[[Category:Superparticular]]		[[Category:Superparticular]]
			[[Category:Animist]]

Fredg999: Fixed copy-paste error

2021-12-12T04:44:56Z

Fixed copy-paste error

← Older revision		Revision as of 04:44, 12 December 2021
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	[[Category:Small comma]]		[[Category:Small comma]]
	[[Category:Superparticular]]		[[Category:Superparticular]]
	~~[[Category:Grossmic]]~~