Septischisma: Difference between revisions

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{{Infobox Interval

| Ratio = 33554432/33480783

| Name = ~~garischisma~~, septimal schisma

| Name = septischisma, septimal schisma, gary comma

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

| Comma = yes

}}

The '''septischisma''', a.k.a. '''septimal schisma''' or '''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 '''~~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:

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== 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 [[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 ==

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

The name of this comma used to be ''garischisma'', from the temperament [[garibaldi]] and the schisma, as it is one of the similarly sized intervals of the schisma 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, more accurately recognizing its role as the septimal version of the schisma.

[[Category:~~Garischismic~~]]

[[Category:Septischismic]]

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

[[Category:Commas named for their regular temperament properties]]

@@ Line 1: / Line 1: @@
 {{Infobox Interval
 | Ratio = 33554432/33480783
-| Name = garischisma, septimal schisma
+| Name = septischisma, septimal schisma, gary comma
 | Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma
 | Comma = yes
 }}
+The '''septischisma''', a.k.a. '''septimal schisma''' or '''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 '''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:
@@ Line 13: / Line 12: @@
 == 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 [[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 ==
-Its name comes from the temperament [[garibaldi]] and the schisma, as it is a similarly sized interval that alongside it, defines garibaldi.
+The name of this comma used to be ''garischisma'', from the temperament [[garibaldi]] and the schisma, as it is one of the similarly sized intervals of the schisma 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, more accurately recognizing its role as the septimal version of the schisma.
-[[Category:Garischismic]]
+[[Category:Septischismic]]
-[[Category:Commas named by combining multiple temperament names]]
+[[Category:Commas named for their regular temperament properties]]