Garischisma: Difference between revisions

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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 ==

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]]

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-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 ==
 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]]