189/187: Difference between revisions
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'''189/187''', or the '''chouten comma''' is a [[17-limit]] or 3.7.11.17-subgroup [[comma]] of about 18.42 [[cent]]s. | '''189/187''', or the '''chouten comma''' is a [[17-limit]] or 3.7.11.17-subgroup [[comma]] of about 18.42 [[cent]]s. | ||
This comma is the difference between [[21/11]] and [[17/9]], or [[11/9]] and [[21/17]], | This comma is the difference between [[21/11]] and [[17/9]], or [[11/9]] and [[21/17]], [[18/17]] and [[22/21]] etc. | ||
==Commatic relations== | ==Commatic relations== | ||
This comma is the sum of the following comma combinations: | This comma is the sum of the following comma combinations: | ||
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* [[81/80]] and [[561/560]] | * [[81/80]] and [[561/560]] | ||
* [[91/90]] and [[2431/2430]] | * [[91/90]] and [[2431/2430]] | ||
== | |||
===[[S-expression]]=== | |||
189/187 is a 1/4-square particulars which is S18*S19*S20*S21. | |||
==Temperaments== | |||
Tempering out this comma in the 3.7.11.17 [[subgroup]] leads to the rank-3 '''chouten temperament'''. | Tempering out this comma in the 3.7.11.17 [[subgroup]] leads to the rank-3 '''chouten temperament'''. | ||
===Chouten=== | ===Chouten=== | ||