Septischisma: Difference between revisions
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Hotcrystal0 (talk | contribs) I think garischisma should be a co-official name simply because we only had 4 people voice their opinions in the talk page. The renaming of aberschismic was fine because that was a near-universal agreement, but this one was renamed without too much community concensus. |
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 33554432/33480783 | | Ratio = 33554432/33480783 | ||
| Name = septischisma, gary comma | | Name = septischisma, garischima gary comma | ||
| Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma | | Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma | ||
| Comma = yes | | Comma = yes | ||
}} | }} | ||
The '''septischisma''', | The '''septischisma''', '''garischima''', 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. | ||
It factors into the following [[11-limit|11-]] and [[13-limit]] commas: | It factors into the following [[11-limit|11-]] and [[13-limit]] commas: | ||
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== Etymology == | == 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 primary 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. | The primary current name is a trivial contraction of ''septimal schisma'' into one word. | ||
[[Category:Septischismic]] | [[Category:Septischismic]] | ||
[[Category:Commas named for their regular temperament properties]] | [[Category:Commas named for their regular temperament properties]] | ||
[[Category:Commas named by translating something into another language]] | [[Category:Commas named by translating something into another language]] | ||
Revision as of 16:59, 27 August 2026
| Interval information |
garischima gary comma
ssrM, sasaruma
reduced subharmonic
The septischisma, garischima, or 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 primary 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 primary current name is a trivial contraction of septimal schisma into one word.