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 the [[sensamagic comma]] and the cataharry. It is also the sum of the [[4375/4374|ragisma]] and the hemimage, or the sum of the [[2401/2400|breedsma]] and the [[amity comma]]. Tempering it out leads to the rank-3 [[canou family|canou temperament]].  
{{Infobox Interval
| Icon =
| Ratio = 4802000/4782969
| Monzo = 4 -14 3 4
| Cents = 6.8748
| Name = canousma
| Color name =
| FJS name =
| Sound =
}}
 
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).  
 
Tempering it out leads to the rank-3 [[canou family|canou temperament]], which splits the syntonic comma into two equal parts, each representing 245/243~19683/19600. It also splits the [[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 [[225/224]] (septimal kleisma) with 245/243 and leads to [[parakleismic]].  


== See also ==
== See also ==

Revision as of 17:34, 10 October 2020

Interval information
Ratio 4802000/4782969
Factorization 24 × 3-14 × 53 × 74
Monzo [4 -14 3 4
Size in cents 6.874755¢
Name canousma
FJS name [math]\displaystyle{ \text{d3}^{5,5,5,7,7,7,7} }[/math]
Special properties reduced
Tenney norm (log2 nd) 44.3847
Weil norm (log2 max(n, d)) 44.3904
Wilson norm (sopfr(nd)) 93
Open this interval in xen-calc

The canousma, 4802000/4782969 = [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).

Tempering it out leads to the rank-3 canou temperament, which splits the syntonic comma into two equal parts, each representing 245/243~19683/19600. It also splits the classic major third into two equal parts, each representing 2450/2187~2187/1960. It is similar to hemimean in that regard. Tempering out both equates 225/224 (septimal kleisma) with 245/243 and leads to parakleismic.

See also