91/90 - Revision history

BudjarnLambeth at 23:11, 15 November 2024

2024-11-15T23:11:07Z

← Older revision		Revision as of 23:11, 15 November 2024
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	== Etymology ==		== Etymology ==
	~~Observably,~~ ''~~superleap~~'' is a contraction of ''superpyth'' and ''leapday'', referring to the two rank-2 temperaments that temper out this comma.		''Superleap'' is a contraction of ''superpyth'' and ''leapday'', referring to the two rank-2 temperaments that temper out this comma.

	== See also ==		== See also ==
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]


			{{todo\|research\|add etymology\|inline=1\|comment=Add etymology for “biome”.}}

			[[Category:Commas with unknown etymology]]
			[[Category:Commas named by combining multiple temperament names]]

Stavats: Fixed incorrect interval (octave equivalent)

2024-11-14T12:58:16Z

Fixed incorrect interval (octave equivalent)

← Older revision		Revision as of 12:58, 14 November 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The [[superparticular interval]] '''91/90''', the '''biome comma''' or '''superleap comma''', is a [[small comma\|small]] [[13-limit]] [[comma]] of about 19 [[cent]]s. It arises in several places in 13-limit just intonation, most notably as the difference between [[13/12]] and [[15/14]], between [[13/9]] and [[7/5]], between [[7/6]] and [[15/13]], and between [[9/7]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[24/13]] and [[28/15]], between [[18/13]] and [[10/7]], between [[12/7]] and [[26/15]], and between [[14/9]] and [[20/13]]).		The [[superparticular interval]] '''91/90''', the '''biome comma''' or '''superleap comma''', is a [[small comma\|small]] [[13-limit]] [[comma]] of about 19 [[cent]]s. It arises in several places in 13-limit just intonation, most notably as the difference between [[13/12]] and [[15/14]], between [[13/9]] and [[10/7]], between [[7/6]] and [[15/13]], and between [[9/7]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[24/13]] and [[28/15]], between [[18/13]] and [[10/7]], between [[12/7]] and [[26/15]], and between [[14/9]] and [[20/13]]).

	Being a [[square superparticular\|triangle superparticular]], it factors neatly into ([[169/168]])([[196/195]]).		Being a [[square superparticular\|triangle superparticular]], it factors neatly into ([[169/168]])([[196/195]]).

	== Temperaments ==		== Temperaments ==

FloraC: Expand +1

2024-03-13T07:00:01Z

Expand +1

← Older revision		Revision as of 07:00, 13 March 2024
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	}}		}}
	The [[superparticular interval]] '''91/90''', the '''biome comma''' or '''superleap comma''', is a [[small comma\|small]] [[13-limit]] [[comma]] of about 19 [[cent]]s. It arises in several places in 13-limit just intonation, most notably as the difference between [[13/12]] and [[15/14]], between [[13/9]] and [[7/5]], between [[7/6]] and [[15/13]], and between [[9/7]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[24/13]] and [[28/15]], between [[18/13]] and [[10/7]], between [[12/7]] and [[26/15]], and between [[14/9]] and [[20/13]]).		The [[superparticular interval]] '''91/90''', the '''biome comma''' or '''superleap comma''', is a [[small comma\|small]] [[13-limit]] [[comma]] of about 19 [[cent]]s. It arises in several places in 13-limit just intonation, most notably as the difference between [[13/12]] and [[15/14]], between [[13/9]] and [[7/5]], between [[7/6]] and [[15/13]], and between [[9/7]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[24/13]] and [[28/15]], between [[18/13]] and [[10/7]], between [[12/7]] and [[26/15]], and between [[14/9]] and [[20/13]]).

			Being a [[square superparticular\|triangle superparticular]], it factors neatly into ([[169/168]])([[196/195]]).

	== Temperaments ==		== Temperaments ==
	~~For temperaments eliminating~~ this comma~~, see~~ [[The Biosphere]].		Tempering out this comma in the full 13-limit results in the rank-5 '''biosphere temperament'''. See [[The Biosphere]]. An obvious further temperament is to temper out 169/168 and/or 196/195, equating [[14/13]] with 13/12~15/14. This in the 2.3.5.7.13 [[subgroup]] results in the [[sengic]] temperament.

			== Etymology ==
			Observably, ''superleap'' is a contraction of ''superpyth'' and ''leapday'', referring to the two rank-2 temperaments that temper out this comma.

	== See also ==		== See also ==
	* [[List of superparticular intervals]]		* [[List of superparticular intervals]]

FloraC: Expand

2024-03-13T04:49:47Z

Expand

← Older revision		Revision as of 04:49, 13 March 2024
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	\| Comma = yes		\| Comma = yes
	}}		}}
	The [[superparticular interval]] '''91/90''', the '''biome comma''' or '''superleap comma''', is a [[small comma]] of about 19 ~~cents~~.		The [[superparticular interval]] '''91/90''', the '''biome comma''' or '''superleap comma''', is a [[small comma\|small]] [[13-limit]] [[comma]] of about 19 [[cent]]s. It arises in several places in 13-limit just intonation, most notably as the difference between [[13/12]] and [[15/14]], between [[13/9]] and [[7/5]], between [[7/6]] and [[15/13]], and between [[9/7]] and [[13/10]] (and their [[octave complement]]s, i.e. between [[24/13]] and [[28/15]], between [[18/13]] and [[10/7]], between [[12/7]] and [[26/15]], and between [[14/9]] and [[20/13]]).

	For temperaments eliminating this comma, see ~~also~~ [[The Biosphere]].		== Temperaments ==
			For temperaments eliminating this comma, see [[The Biosphere]].

			== See also ==
			* [[List of superparticular intervals]]

TallKite at 07:31, 14 January 2023

2023-01-14T07:31:09Z

← Older revision		Revision as of 07:31, 14 January 2023
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	{{Infobox Interval		{{Infobox Interval
	\| Name = biome comma, superleap comma		\| Name = biome comma, superleap comma
	\| Color name = 3ozg2, Thozogu comma		\| Color name = 3ozg2, thozogu 2nd,<br>Thozogu comma
	\| Comma = yes		\| Comma = yes
	}}		}}

TallKite: added color name

2022-12-04T02:39:11Z

added color name

← Older revision		Revision as of 02:39, 4 December 2022
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	{{Infobox Interval		{{Infobox Interval
	\| Name = biome comma, superleap comma		\| Name = biome comma, superleap comma
			\| Color name = 3ozg2, Thozogu comma
	\| Comma = yes		\| Comma = yes
	}}		}}

Plumtree: Normalising usage of Infobox Interval

2022-10-25T17:13:53Z

Normalising usage of Infobox Interval

← Older revision		Revision as of 17:13, 25 October 2022
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	{{Infobox Interval		{{Infobox Interval
	~~\| Icon =~~		\| Name = biome comma, superleap comma
	~~\| Ratio = 91/90~~		\| Comma = yes
	~~\| Monzo = -1 -2 -1 1 0 1~~
	~~\| Cents = 19.12985~~
	\| Name = biome comma, ~~<br>~~ superleap comma
	\| ~~Color name =~~
	~~\| FJS name =~~
	~~\| Sound~~ =
	}}		}}
	The [[superparticular interval]] '''91/90''', the '''biome comma''' or '''superleap comma''', is a [[small comma]] of about 19 cents.		The [[superparticular interval]] '''91/90''', the '''biome comma''' or '''superleap comma''', is a [[small comma]] of about 19 cents.

	For temperaments eliminating this comma, see also [[The Biosphere]].		For temperaments eliminating this comma, see also [[The Biosphere]].

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

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

2022-03-20T21:59:58Z

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:Superparticular]]		[[Category:Superparticular]]
	[[Category:Small ~~comma~~]]		[[Category:Small commas]]

Xenwolf: Created page with "{{Infobox Interval | Icon = | Ratio = {{subst:PAGENAME}} | Monzo = -1 -2 -1 1 0 1 | Cents = {{subst:cents|{{subst:PAGENAME}}|5}} | Name = biome comma,
superleap comma |..."

2021-05-24T14:16:38Z

Created page with "{{Infobox Interval | Icon = | Ratio = {{subst:PAGENAME}} | Monzo = -1 -2 -1 1 0 1 | Cents = {{subst:cents|{{subst:PAGENAME}}|5}} | Name = biome comma, <br> superleap comma |..."

New page

{{Infobox Interval
| Icon =
| Ratio = 91/90
| Monzo = -1 -2 -1 1 0 1
| Cents = 19.12985
| Name = biome comma, <br> superleap comma
| Color name =
| FJS name =
| Sound =
}}
The [[superparticular interval]] '''91/90''', the '''biome comma''' or '''superleap comma''', is a [[small comma]] of about 19 cents.

For temperaments eliminating this comma, see also [[The Biosphere]].

[[Category:13-limit]]
[[Category:Superparticular]]
[[Category:Small comma]]