Gaster - Revision history

FloraC: Text replacement - "Category:Mirkwai clan" to "Category:Canopic clan"

2026-06-06T10:30:12Z

Text replacement - "Category:Mirkwai clan" to "Category:Canopic clan"

← Older revision		Revision as of 10:30, 6 June 2026
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	[[Category:Gaster\| ]] <!-- main article -->		[[Category:Gaster\| ]] <!-- main article -->
	[[Category:Rank-2 temperaments]]		[[Category:Rank-2 temperaments]]
	[[Category:~~Mirkwai~~ clan]]		[[Category:Canopic clan]]

FloraC: - parent category

2025-04-28T14:09:10Z

- parent category

← Older revision		Revision as of 14:09, 28 April 2025
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	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]

			[[Category:Gaster\| ]] <!-- main article -->
			[[Category:Rank-2 temperaments]]
	[[Category:Mirkwai clan]]		[[Category:Mirkwai clan]]
	~~[[Category:Temperaments]]~~
	~~[[Category:Rank-2 temperaments]]~~

Lériendil at 23:07, 19 April 2025

2025-04-19T23:07:12Z

← Older revision		Revision as of 23:07, 19 April 2025
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	[[Category:Mirkwai clan]]		[[Category:Mirkwai clan]]
	[[Category:Temperaments]]		[[Category:Temperaments]]
			[[Category:Rank-2 temperaments]]

VectorGraphics at 21:11, 21 February 2025

2025-02-21T21:11:08Z

← Older revision		Revision as of 21:11, 21 February 2025
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	'''Gaster''' is a [[regular temperament]] that tempers out a plethora of [[unnoticeable comma]]s including {{monzo\|-70 72 -19}} ([[gaster comma]], quadbila-negu). The generator for this temperament is a gassormic tritone, [[55/39]], and from this it derives its name. Aside from the psychoacoustic advantage of tempering out such small commas, a secondary concept of this temperament is that complex intervals in lower prime limits are identified with simple intervals in higher prime limits (for example, 55/39 = 38/27 = 31/22 = 24/17, 26/19 = 41/30 = 56/41, etc.) Since it tempers out the mirkwai comma, it qualifies as a [[Mirkwai clan\|mirkwai temperament]].		'''Gaster''' is a [[regular temperament]] that tempers out a plethora of [[unnoticeable comma]]s including {{monzo\|-70 72 -19}} ([[gaster comma]], quadbila-negu). The generator for this temperament is a gassormic tritone, [[55/39]], and from this it derives its name. Coincidentally, one of its commas involves stacking seventeen 9/8s, and 17 is a number associated with the character Gaster from Undertale. Aside from the psychoacoustic advantage of tempering out such small commas, a secondary concept of this temperament is that complex intervals in lower prime limits are identified with simple intervals in higher prime limits (for example, 55/39 = 38/27 = 31/22 = 24/17, 26/19 = 41/30 = 56/41, etc.) Since it tempers out the mirkwai comma, it qualifies as a [[Mirkwai clan\|mirkwai temperament]].

	== Temperament data ==		== Temperament data ==

BudjarnLambeth: Split off section from page as requested by todo notice

2023-07-07T02:52:28Z

Split off section from page as requested by todo notice

← Older revision		Revision as of 02:52, 7 July 2023
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	'''Gaster''' is a [[regular temperament]] that tempers out a plethora of [[unnoticeable comma]]s including {{monzo\|-70 72 -19}} ([[~~#Gaster comma\|~~gaster comma]], quadbila-negu). The generator for this temperament is a gassormic tritone, [[55/39]], and from this it derives its name. Aside from the psychoacoustic advantage of tempering out such small commas, a secondary concept of this temperament is that complex intervals in lower prime limits are identified with simple intervals in higher prime limits (for example, 55/39 = 38/27 = 31/22 = 24/17, 26/19 = 41/30 = 56/41, etc.) Since it tempers out the mirkwai comma, it qualifies as a [[Mirkwai clan\|mirkwai temperament]].		'''Gaster''' is a [[regular temperament]] that tempers out a plethora of [[unnoticeable comma]]s including {{monzo\|-70 72 -19}} ([[gaster comma]], quadbila-negu). The generator for this temperament is a gassormic tritone, [[55/39]], and from this it derives its name. Aside from the psychoacoustic advantage of tempering out such small commas, a secondary concept of this temperament is that complex intervals in lower prime limits are identified with simple intervals in higher prime limits (for example, 55/39 = 38/27 = 31/22 = 24/17, 26/19 = 41/30 = 56/41, etc.) Since it tempers out the mirkwai comma, it qualifies as a [[Mirkwai clan\|mirkwai temperament]].

	== Temperament data ==		== Temperament data ==
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	\|}		\|}
	<nowiki></nowiki>3: SGT stands for smaller gassormic tritone.<br><nowiki></nowiki>4: in 41-limit POTE tuning		<nowiki></nowiki>3: SGT stands for smaller gassormic tritone.<br><nowiki></nowiki>4: in 41-limit POTE tuning

	~~== Gaster comma ==~~
	'''Gaster comma''' is a 5-limit [[unnoticeable comma]] measuring about 0.7995 cents. It is the difference between a stack of seventeen [[9/8]]s and a stack of nineteen [[10/9]]s, (9/8)<sup>17</sup>/(10/9)<sup>19</sup> = {{monzo\|-70 72 -19}} (quadbila-negu). Equal temperaments which temper out this comma include {{EDOs\| 111, 113, 224, 335, 559, 783, 1342, 1901, 3243 }} and others.

	== See also ==		== See also ==
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	* [[Unnoticeable comma]]		* [[Unnoticeable comma]]

	[[Category: Mirkwai clan]]		[[Category:Mirkwai clan]]
	[[Category:Temperaments]]		[[Category:Temperaments]]
	~~[[Category:Unnoticeable commas]]~~

	~~{{Todo\| split page }}~~

FloraC: Update the template; +todo

2023-05-08T07:24:33Z

Update the template; +todo

← Older revision		Revision as of 07:24, 8 May 2023
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	== Gaster comma ==		== Gaster comma ==
	'''Gaster comma''' is a 5-limit [[unnoticeable comma]] measuring about 0.7995 cents. It is the difference between a stack of seventeen [[9/8]]s and a stack of nineteen [[10/9]]s, (9/8)<sup>17</sup>/(10/9)<sup>19</sup> = {{monzo\|-70 72 -19}} (quadbila-negu). Equal temperaments which temper out this comma include {{~~Vals~~\| 111, 113, 224, 335, 559, 783, 1342, 1901, 3243 }} and others.		'''Gaster comma''' is a 5-limit [[unnoticeable comma]] measuring about 0.7995 cents. It is the difference between a stack of seventeen [[9/8]]s and a stack of nineteen [[10/9]]s, (9/8)<sup>17</sup>/(10/9)<sup>19</sup> = {{monzo\|-70 72 -19}} (quadbila-negu). Equal temperaments which temper out this comma include {{EDOs\| 111, 113, 224, 335, 559, 783, 1342, 1901, 3243 }} and others.

	== See also ==		== See also ==
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	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category:Unnoticeable commas]]		[[Category:Unnoticeable commas]]

			{{Todo\| split page }}

Cmloegcmluin: "optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

2023-05-07T18:01:27Z

"optimal GPV sequence" → "optimal ET sequence", per Talk:Optimal_ET_sequence

← Older revision		Revision as of 18:01, 7 May 2023
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	* 41-limit: ~2 = 1199.91875, ~24/17 = 594.60272		* 41-limit: ~2 = 1199.91875, ~24/17 = 594.60272

	[[Optimal ~~GPV~~ sequence]]s:		[[Optimal ET sequence]]s:
	* 7, 19 and 23-limit: {{~~Vals~~\| 111, 224 }}		* 7, 19 and 23-limit: {{Optimal ET sequence\| 111, 224 }}
	* 11-limit: {{~~Vals~~\| 111, 224, 783d, 1007d, 1231dd }}		* 11-limit: {{Optimal ET sequence\| 111, 224, 783d, 1007d, 1231dd }}
	* 13-limit: {{~~Vals~~\| 111, 224, 783df, 1007df, 1231ddf }}		* 13-limit: {{Optimal ET sequence\| 111, 224, 783df, 1007df, 1231ddf }}
	* 17-limit: {{~~Vals~~\| 111, 224, 559dgg }}		* 17-limit: {{Optimal ET sequence\| 111, 224, 559dgg }}
	* 29, 31, 37 and 41-limit: {{~~Vals~~\| 111, 113, 224 }}		* 29, 31, 37 and 41-limit: {{Optimal ET sequence\| 111, 113, 224 }}

	[[Badness]]:		[[Badness]]:

Eliora: Eliora moved page Gaster temperament to Gaster: "temperament" is redundant here

2023-04-18T14:11:59Z

Eliora moved page Gaster temperament to Gaster: "temperament" is redundant here

← Older revision	Revision as of 14:11, 18 April 2023
(No difference)

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

2022-03-20T22:01:54Z

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

← Older revision		Revision as of 22:01, 20 March 2022
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	[[Category: Mirkwai clan]]		[[Category: Mirkwai clan]]
	[[Category:Temperaments]]		[[Category:Temperaments]]
	[[Category: Unnoticeable ~~comma~~]]		[[Category:Unnoticeable commas]]

Fredg999 category edits: Moving from Category:Index of temperaments to Category:Temperaments using Cat-a-lot

2022-03-01T00:27:50Z

Moving from Category:Index of temperaments to Category:Temperaments using Cat-a-lot

← Older revision		Revision as of 00:27, 1 March 2022
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	[[Category: Mirkwai clan]]		[[Category: Mirkwai clan]]
	[[Category: ~~Index of temperaments~~]]		[[Category:Temperaments]]
	[[Category: Unnoticeable comma]]		[[Category: Unnoticeable comma]]