Septischisma - Revision history

FloraC: - typo

2026-08-15T13:58:53Z

- typo

← Older revision		Revision as of 13:58, 15 August 2026
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	[[Category:Septischismic]]		[[Category:Septischismic]]
	[[Category:Commas named by for their regular temperament properties]]		[[Category:Commas named for their regular temperament properties]]

FloraC: Gary derives gary comma. More clarifications. Recategorize

2026-08-15T13:58:31Z

Gary derives gary comma. More clarifications. Recategorize

← Older revision		Revision as of 13:58, 15 August 2026
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 33554432/33480783		\| Ratio = 33554432/33480783
	\| Name = septischisma, ~~garysma~~		\| Name = septischisma, gary comma
	\| Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma		\| Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma
	\| Comma = yes		\| Comma = yes
	}}		}}
			The '''septischisma''', a.k.a. '''gary comma''', is a very [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. It can be considered the septimal counterpart of the [[schisma]]: whereas the schisma is the difference between the [[Pythagorean comma]] and the [[syntonic comma]], the septischisma is the difference between the [[septimal comma]] and the Pythagorean comma. Equivalently, it can be described as the amount by which a stack of two [[Pythagorean apotome]]s falls short of a [[8/7\|septimal whole tone]]. It is also the difference between the [[aberschisma]] and the schisma in the full 7-limit.
	The '''septischisma''' or '''~~garysma~~''' is a very [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. It can be considered the septimal counterpart of the [[schisma]]: whereas the schisma is the difference between the [[Pythagorean comma]] and the [[syntonic comma]], the ~~garischisma~~ is the difference between the [[septimal comma]] and the Pythagorean comma. Equivalently, it can be described as the amount by which a stack of two [[~~2187/2048\|apotomes~~]] falls short of a [[8/7\|septimal whole tone]]. It is also the difference between the [[aberschisma]] and the schisma in the full 7-limit.

	It factors into the following [[11-limit\|11-]] and [[13-limit]] commas:		It factors into the following [[11-limit\|11-]] and [[13-limit]] commas:
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the full 7-limit leads to the rank-3 ~~'''~~septischismic~~'''~~ temperament, or in the [[2.3.7 subgroup]], the rank-2 ~~'''~~gary~~'''~~ temperament. See [[~~Garischismic~~ family]] for the [[temperament families and clans\|family]] of rank-3 temperaments where it is tempered out. See [[~~Garischismic~~ clan]] for the [[temperament families and clans\|clan]] of rank-2 temperaments where it is tempered out.		[[Tempering out]] this comma in the full 7-limit leads to the rank-3 [[septischismic]] temperament, or in the [[2.3.7 subgroup]], the rank-2 [[gary]] temperament.

			See [[Septischismic family]] for the [[temperament families and clans\|family]] of rank-3 temperaments where it is tempered out. See [[Septischismic clan]] for the [[temperament families and clans\|clan]] of rank-2 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==
	~~Its~~ name used to be ''garischisma'', ~~which comes~~ from the temperament [[garibaldi]] and the schisma, as it is a similarly sized interval that alongside it, defines garibaldi. This ~~etymology~~ partly lingers in the subgroup temperament gary. The current name is trivial.		The name of this comma used to be ''garischisma'', from the temperament [[garibaldi]] and the schisma, as it is a similarly sized interval that alongside it, defines garibaldi. This name partly lingers in the subgroup temperament ''gary'' and a number of other rank-2 temperaments.

			The current name is a trivial contraction of ''septimal schisma'' into one word.

	[[Category:~~Garischismic~~]]		[[Category:Septischismic]]
	[[Category:Commas named by ~~combining multiple~~ temperament ~~names~~]]		[[Category:Commas named by for their regular temperament properties]]

FloraC: FloraC moved page Garischisma to Septischisma

2026-08-15T12:44:30Z

FloraC moved page Garischisma to Septischisma

← Older revision	Revision as of 12:44, 15 August 2026
(No difference)

FloraC: Redo

2026-08-15T12:44:08Z

Redo

← Older revision		Revision as of 12:44, 15 August 2026
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	{{Infobox Interval		{{Infobox Interval
	\| Ratio = 33554432/33480783		\| Ratio = 33554432/33480783
	\| Name = ~~garischisma~~, ~~septimal schisma~~		\| Name = septischisma, garysma
	\| Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma		\| Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma
	\| Comma = yes		\| Comma = yes
	}}		}}

	The '''~~garischisma~~''' or '''~~septimal schisma~~''' is a very [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. It can be considered the septimal counterpart of the [[schisma]]: whereas the schisma is the difference between the [[Pythagorean comma]] and the [[syntonic comma]], the garischisma is the difference between the [[septimal comma]] and the Pythagorean comma. Equivalently, it can be described as the amount by which a stack of two [[2187/2048\|apotomes]] falls short of a [[8/7\|septimal whole tone]]. It is also the difference between the [[aberschisma]] and the schisma in the full 7-limit.		The '''septischisma''' or '''garysma''' is a very [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. It can be considered the septimal counterpart of the [[schisma]]: whereas the schisma is the difference between the [[Pythagorean comma]] and the [[syntonic comma]], the garischisma is the difference between the [[septimal comma]] and the Pythagorean comma. Equivalently, it can be described as the amount by which a stack of two [[2187/2048\|apotomes]] falls short of a [[8/7\|septimal whole tone]]. It is also the difference between the [[aberschisma]] and the schisma in the full 7-limit.

	It factors into the following [[11-limit\|11-]] and [[13-limit]] commas:		It factors into the following [[11-limit\|11-]] and [[13-limit]] commas:
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	== Temperaments ==		== Temperaments ==
	[[Tempering out]] this comma in the full 7-limit leads to the rank-3 '''~~garischismic~~''' temperament, or in the [[2.3.7 subgroup]], the rank-2 '''gary''' temperament. See [[Garischismic family]] for the [[temperament families and clans\|family]] of rank-3 temperaments where it is tempered out. See [[Garischismic clan]] for the [[temperament families and clans\|clan]] of rank-2 temperaments where it is tempered out.		[[Tempering out]] this comma in the full 7-limit leads to the rank-3 '''septischismic''' temperament, or in the [[2.3.7 subgroup]], the rank-2 '''gary''' temperament. See [[Garischismic family]] for the [[temperament families and clans\|family]] of rank-3 temperaments where it is tempered out. See [[Garischismic clan]] for the [[temperament families and clans\|clan]] of rank-2 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==
	Its name comes from the temperament [[garibaldi]] and the schisma, as it is a similarly sized interval that alongside it, defines garibaldi.		Its name used to be ''garischisma'', which comes from the temperament [[garibaldi]] and the schisma, as it is a similarly sized interval that alongside it, defines garibaldi. This etymology partly lingers in the subgroup temperament gary. The current name is trivial.

	[[Category:Garischismic]]		[[Category:Garischismic]]
	[[Category:Commas named by combining multiple temperament names]]		[[Category:Commas named by combining multiple temperament names]]

FloraC: Undo to keep edit history

2026-08-15T12:43:50Z

Undo to keep edit history

← Older revision		Revision as of 12:43, 15 August 2026
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	~~#REDIRECT~~ [[~~Septischisma~~]]		{{Infobox Interval
			\| Ratio = 33554432/33480783
			\| Name = garischisma, septimal schisma
			\| Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma
			\| Comma = yes
			}}

			The '''garischisma''' or '''septimal schisma''' is a very [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. It can be considered the septimal counterpart of the [[schisma]]: whereas the schisma is the difference between the [[Pythagorean comma]] and the [[syntonic comma]], the garischisma is the difference between the [[septimal comma]] and the Pythagorean comma. Equivalently, it can be described as the amount by which a stack of two [[2187/2048\|apotomes]] falls short of a [[8/7\|septimal whole tone]]. It is also the difference between the [[aberschisma]] and the schisma in the full 7-limit.

			It factors into the following [[11-limit\|11-]] and [[13-limit]] commas:
			* The [[19712/19683\|symbiotic comma]] and [[131072/130977\|olympia]];
			* The [[wilschisma]] and the [[minisma]].

			== Temperaments ==
			[[Tempering out]] this comma in the full 7-limit leads to the rank-3 '''garischismic''' temperament, or in the [[2.3.7 subgroup]], the rank-2 '''gary''' temperament. See [[Garischismic family]] for the [[temperament families and clans\|family]] of rank-3 temperaments where it is tempered out. See [[Garischismic clan]] for the [[temperament families and clans\|clan]] of rank-2 temperaments where it is tempered out.

			== Etymology ==
			Its name comes from the temperament [[garibaldi]] and the schisma, as it is a similarly sized interval that alongside it, defines garibaldi.

			[[Category:Garischismic]]
			[[Category:Commas named by combining multiple temperament names]]

Eufalesio: Made into a redirect for new name

2026-08-15T11:49:38Z

Made into a redirect for new name

← Older revision		Revision as of 11:49, 15 August 2026
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	~~{{Infobox Interval~~		#REDIRECT [[Septischisma]]
	~~\| Ratio = 33554432/33480783~~
	~~\| Name = garischisma, septimal schisma~~
	~~\| Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma~~
	~~\| Comma = yes~~
	}}

	~~The '''garischisma''' or '''septimal schisma''' is a very~~ [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. It can be considered the septimal counterpart of the [[schisma]]: whereas the schisma is the difference between the [[Pythagorean comma]] and the [[syntonic comma]], the garischisma is the difference between the [[septimal comma]] and the Pythagorean comma. Equivalently, it can be described as the amount by which a stack of two [[2187/2048\|apotomes]] falls short of a [[8/7\|septimal whole tone]]. It is also the difference between the [[aberschisma]] and the schisma in the full 7-limit.

	~~It factors into the following [[11-limit\|11-]] and [[13-limit]] commas:~~
	* The [[19712/19683\|symbiotic comma]] and [[131072/130977\|olympia]];
	* The [[wilschisma]] and the [[minisma]].

	~~== Temperaments ==~~
	[[Tempering out]] this comma in the full 7-limit leads to the rank-3 '''garischismic''' temperament, or in the [[2.3.7 subgroup]], the rank-2 '''gary''' temperament. See [[Garischismic family]] for the [[temperament families and clans\|family]] of rank-3 temperaments where it is tempered out. See [[Garischismic clan]] for the [[temperament families and clans\|clan]] of rank-2 temperaments where it is tempered out.

	~~== Etymology ==~~
	~~Its name comes from the temperament [[garibaldi]] and the schisma, as it is a similarly sized interval that alongside it, defines garibaldi.~~

	~~[[Category:Garischismic]]~~
	~~[[Category:Commas named by combining multiple temperament names~~]]

TallKite: updated the comma color name

2026-04-29T04:10:51Z

updated the comma color name

← Older revision		Revision as of 04:10, 29 April 2026
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	\| Ratio = 33554432/33480783		\| Ratio = 33554432/33480783
	\| Name = garischisma, septimal schisma		\| Name = garischisma, septimal schisma
	\| Color name = ssr2, sasaru 2nd,<br>~~Sasaru comma~~		\| Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma
	\| Comma = yes		\| Comma = yes
	}}		}}

FloraC: Restore some lost details. These lists aren't clearer than prose.

2026-04-11T21:15:31Z

Restore some lost details. These lists aren't clearer than prose.

← Older revision		Revision as of 21:15, 11 April 2026
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	}}		}}

	The '''garischisma''' or '''septimal schisma''' is a very [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. It is ~~most well known as~~ the difference between the [[~~pythagorean~~ comma]] and the [[64/63\|septimal ~~comma~~]]. It is also the difference the ~~difference between:~~		The '''garischisma''' or '''septimal schisma''' is a very [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. It can be considered the septimal counterpart of the [[schisma]]: whereas the schisma is the difference between the [[Pythagorean comma]] and the [[syntonic comma]], the garischisma is the difference between the [[septimal comma]] and the Pythagorean comma. Equivalently, it can be described as the amount by which a stack of two [[2187/2048\|apotomes]] falls short of a [[8/7\|septimal whole tone]]. It is also the difference between the [[aberschisma]] and the schisma in the full 7-limit.

	* [[~~8/7]] and 2 [[2187/2048~~\|~~apotomes]]~~		It factors into the following [[11-limit\|11-]] and [[13-limit]] commas:
	* The [[hemifamity comma]] and ~~the~~ [[~~schisma~~]]		* The [[19712/19683\|symbiotic comma]] and [[131072/130977\|olympia]];
			* The [[wilschisma]] and the [[minisma]].
	~~It also factors into the following higher limit~~ commas:

	* The [[19712/19683\|symbiotic comma]] and [[131072/130977\|olympia]]
	* The [[wilschisma]] and the [[minisma]]

	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the full 7-limit leads to the rank-3 '''garischismic ~~temperament~~''', or in the 2.3.7 subgroup, the rank-2 '''gary ~~temperament~~'''. See [[Garischismic family]] for the [[~~Temperament~~ families and clans\|family]] of rank-3 temperaments where it is tempered out. See [[Garischismic clan]] for the [[~~Temperament~~ families and clans\|clan]] of rank-2 temperaments where it is tempered out.		[[Tempering out]] this comma in the full 7-limit leads to the rank-3 '''garischismic''' temperament, or in the [[2.3.7 subgroup]], the rank-2 '''gary''' temperament. See [[Garischismic family]] for the [[temperament families and clans\|family]] of rank-3 temperaments where it is tempered out. See [[Garischismic clan]] for the [[temperament families and clans\|clan]] of rank-2 temperaments where it is tempered out.

	== Etymology ==		== Etymology ==
	Its name comes from the temperament [[garibaldi]] and the schisma, as it is a similarly sized interval that alongside it, defines garibaldi.		Its name comes from the temperament [[garibaldi]] and the schisma, as it is a similarly sized interval that alongside it, defines garibaldi.

	[[Category:Garischismic]]		[[Category:Garischismic]]
	[[Category:Commas named by combining multiple temperament names]]		[[Category:Commas named by combining multiple temperament names]]

Eufalesio: hotfixes!

2026-04-11T20:13:38Z

hotfixes!

← Older revision		Revision as of 20:13, 11 April 2026
Line 6:		Line 6:
	}}		}}

	The '''garischisma''' or '''septimal schisma''' is a very [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. It is most well known as the difference between the ~~Pythagorean~~ comma and the [[64/63\|septimal comma]]. It is also the difference the difference between:		The '''garischisma''' or '''septimal schisma''' is a very [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. It is most well known as the difference between the [[pythagorean comma]] and the [[64/63\|septimal comma]]. It is also the difference the difference between:

	* [[8/7]] and 2 [[2187/2048\|apotomes]]		* [[8/7]] and 2 [[2187/2048\|apotomes]]

Eufalesio: Formatted and added extra things

2026-04-11T20:13:13Z

Formatted and added extra things

← Older revision		Revision as of 20:13, 11 April 2026
Line 6:		Line 6:
	}}		}}

	The '''garischisma''' or '''septimal schisma''' is a [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. ~~While the [[schisma]] is the difference between the [[Pythagorean comma]] and the [[81/80\|syntonic comma]], the garischisma, in contrast,~~ is the difference between the Pythagorean comma and the [[64/63\|septimal comma]]. It ~~can~~ also ~~be described as~~ the difference between ~~the [[8/7\|septimal whole tone]] and a stack of two [[2187/2048\|apotomes]].~~		The '''garischisma''' or '''septimal schisma''' is a very [[small comma\|small]] [[7-limit]] [[comma]] measuring about 3.80 [[cent]]s. It is most well known as the difference between the Pythagorean comma and the [[64/63\|septimal comma]]. It is also the difference the difference between:

	In the ~~11-limit, it~~ factors into ~~simpler~~ commas ~~as (~~[[19712/19683]])([[131072/130977]]).		* [[8/7]] and 2 [[2187/2048\|apotomes]]
			* The [[hemifamity comma]] and the [[schisma]]

			It also factors into the following higher limit commas:

			* The [[19712/19683\|symbiotic comma]] and [[131072/130977\|olympia]]
			* The [[wilschisma]] and the [[minisma]]

	== Temperaments ==		== Temperaments ==
	Tempering out this comma in the full 7-limit leads to the rank-3 '''garischismic temperament''', or in the 2.3.7 subgroup, the rank-2 '''gary temperament'''. See [[Garischismic family]] for the [[Temperament families and clans\|family]] of rank-3 temperaments where it is tempered out. See [[Garischismic clan]] for the [[Temperament families and clans\|clan]] of rank-2 temperaments where it is tempered out.		Tempering out this comma in the full 7-limit leads to the rank-3 '''garischismic temperament''', or in the 2.3.7 subgroup, the rank-2 '''gary temperament'''. See [[Garischismic family]] for the [[Temperament families and clans\|family]] of rank-3 temperaments where it is tempered out. See [[Garischismic clan]] for the [[Temperament families and clans\|clan]] of rank-2 temperaments where it is tempered out.

			== Etymology ==
			Its name comes from the temperament [[garibaldi]] and the schisma, as it is a similarly sized interval that alongside it, defines garibaldi.
	[[Category:Garischismic]]		[[Category:Garischismic]]
	[[Category:Commas named by combining multiple temperament names]]		[[Category:Commas named by combining multiple temperament names]]