Septischisma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 33554432/33480783 | | Ratio = 33554432/33480783 | ||
| Name = | | Name = septischisma, gary comma | ||
| Color name = ssr2, sasaru 2nd,<br> | | 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. | |||
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 [[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 == | |||
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:Septischismic]] | |||
[[Category:Commas named for their regular temperament properties]] | |||
[[Category: | |||
[[Category:Commas named | |||
Latest revision as of 13:58, 15 August 2026
| Interval information |
gary comma
ssrM, sasaruma
reduced subharmonic
The septischisma, a.k.a. gary comma, is a very small 7-limit comma measuring about 3.80 cents. 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 apotomes falls short of a 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- and 13-limit commas:
- The symbiotic comma and olympia;
- The wilschisma and the minisma.
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 Septischismic family for the family of rank-3 temperaments where it is tempered out. See Septischismic clan for the clan of rank-2 temperaments where it is tempered out.
Etymology
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.