Septischisma: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 33554432/33480783 | | Ratio = 33554432/33480783 | ||
| Name = septischisma, gary comma | | Name = septischisma, septimal schisma, gary comma | ||
| Color name = ssr2, sasaru 2nd,<br>ssrM, sasaruma | | 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. | 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. | ||
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 | 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. | 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:Septischismic]] | [[Category:Septischismic]] | ||
[[Category:Commas named for their regular temperament properties]] | [[Category:Commas named for their regular temperament properties]] | ||