Canousma: Difference between revisions

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The '''canousma''', 4802000/4782969 = {{monzo|4 -14 3 4}} is a [[7-limit]] [[comma]] measuring about 6.9 cents. It is the difference between [[245/243]] (sensamagic comma) and 19683/19600 (cataharry).  
The '''canousma''', 4802000/4782969 = {{monzo|4 -14 3 4}} is a [[7-limit]] [[comma]] measuring about 6.9 cents. It is the difference between the [[81/80|syntonic comma (81/80)]] and a stack of two [[245/243|sensamagic commas (245/243)]].  


Tempering it out leads to the rank-3 [[canou family|canou temperament]], which splits the [[81/80|syntonic comma]] into two equal parts, each representing 245/243~19683/19600. It also splits [[5/4]] (classic major third) into two equal parts, each representing 2450/2187~2187/1960. It is similar to [[3136/3125|hemimean]] in that regard. Tempering out both equates 245/243 with [[126/125]] (septimal semicomma) and [[225/224]] (septimal kleisma) and leads to [[parakleismic]].  
== Temperament ==
Tempering it out leads to the [[canou family]] of rank-3 temperaments, which splits the syntonic comma into two equal parts, each representing 245/243. It also splits [[5/4]] (classic major third) into two equal parts, each representing 2450/2187~2187/1960. It is similar to [[3136/3125|hemimean]] in that regard. Tempering out both equates 245/243 with [[126/125]] (septimal semicomma) and [[225/224]] (septimal kleisma) leads to [[parakleismic]].  


== See also ==
== See also ==
* [[Canou family]]
* [[Canou family]], the rank-3 family where it is tempered out
* [[Canousmic temperaments]]
* [[Canousmic temperaments]], a collection of rank-2 temperaments where it is tempered out
* [[Comma]]
* [[Small comma]]


[[Category:7-limit]]
[[Category:7-limit]]
[[Category:Small comma]]
[[Category:Small comma]]
[[Category:Canou]]
[[Category:Canou]]