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>Sasaru comma

| 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]]. It can also be described as the difference between the [[8/7|septimal whole tone]] and two [[2187/2048|apotomes~~]]. Tempering it out leads to the rank-3 [[Garischismic_family|garischismic temperament~~]].

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]].

== ~~See also~~ ==

In the 11-limit, it factors into simpler commas as ([[19712/19683]])([[131072/130977]]).

* [[Garischismic family]]

* [[Garischismic clan]]

== Temperaments ==

* [[~~Small comma~~]]

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.

~~[[Category:7-limit]]~~

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

~~[[Category:Unnoticeable 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>Sasaru comma
-| 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]]. It can also be described as the difference between the [[8/7|septimal whole tone]] and two [[2187/2048|apotomes]]. Tempering it out leads to the rank-3 [[Garischismic_family|garischismic temperament]].
+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]].
-== See also ==
+In the 11-limit, it factors into simpler commas as ([[19712/19683]])([[131072/130977]]).
-* [[Garischismic family]]
-* [[Garischismic clan]]
+== Temperaments ==
-* [[Small comma]]
+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.
-[[Category:7-limit]]
-[[Category:Small comma]]
-[[Category:Unnoticeable comma]]
 [[Category:Garischismic]]
+[[Category:Commas named by combining multiple temperament names]]