Garischisma: Difference between revisions

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{{Infobox Interval

~~| JI glyph =~~

| Ratio = 33554432/33480783

~~| Monzo = 25 -14 0 -1~~

| Name = garischisma, septimal schisma

~~| Cents = 3.8041~~

| Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma

| Name = garischisma, ~~<br>~~septimal schisma

| Comma = yes

| Color name =

~~| FJS name = d2~~<~~sub>7</sub~~>

| ~~Sound~~ =

}}

The '''garischisma''' or '''septimal schisma''' is a [[7-limit]] [[comma]] measuring about 3.80 ~~cents~~. ~~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~~]]. ~~Tempering it out leads to~~ [[~~Garischismic_family|garischismic temperament~~]].

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.

== See ~~also~~ ==

It factors into the following [[11-limit|11-]] and [[13-limit]] commas:

* [[~~Comma~~]]

* 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:7-limit]]~~

~~[[Category:Small comma]]~~

[[Category:Garischismic]]

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

@@ Line 1: / Line 1: @@
 {{Infobox Interval
-| JI glyph =
 | Ratio = 33554432/33480783
-| Monzo = 25 -14 0 -1
+| Name = garischisma, septimal schisma
-| Cents = 3.8041
+| Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma
-| Name = garischisma, <br>septimal schisma
+| Comma = yes
-| Color name =
-| FJS name = d2<sub>7</sub>
-| Sound =
 }}
-The '''garischisma''' or '''septimal schisma''' is a [[7-limit]] [[comma]] measuring about 3.80 cents. 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]]. Tempering it out leads to [[Garischismic_family|garischismic temperament]].
+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.
-== See also ==
+It factors into the following [[11-limit|11-]] and [[13-limit]] commas:
-* [[Comma]]
+* 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:7-limit]]
-[[Category:Small comma]]
 [[Category:Garischismic]]
+[[Category:Commas named by combining multiple temperament names]]