Garischisma: Difference between revisions
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The '''garischisma''' or '''septimal schisma''' is a [[7-limit]] [[comma]] measuring about 3.80 | The '''garischisma''' or '''septimal schisma''' is a [[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]]. | ||
== Temperaments == | == Temperaments == | ||
Tempering | 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 [[Olympic clan #Cassaschismic]] for the rank-3 temperament. See [[Garischismic clan]] for the [[Temperament families and clans|clan]] of rank-2 temperaments where it is tempered out. | ||
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== See also == | == See also == | ||
* [[Small comma]] | * [[Small comma]] | ||
[[Category:Garischismic]] | [[Category:Garischismic]] | ||
Revision as of 05:20, 4 October 2023
| Interval information |
septimal schisma
Sasaru comma
reduced subharmonic
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 syntonic comma, the garischisma, in contrast, is the difference between the Pythagorean comma and the septimal comma. It can also be described as the difference between the septimal whole tone and a stack of two apotomes.
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 Olympic clan #Cassaschismic for the rank-3 temperament. See Garischismic clan for the clan of rank-2 temperaments where it is tempered out.