Canousma: Difference between revisions

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| Ratio = 4802000/4782969
| Ratio = 4802000/4782969
| Name = canousma
| Name = canousma
| Color name = sz<sup>4</sup>y<sup>3</sup>3, saquadzo-atriyo 3rd
| Comma = yes
| Comma = yes
}}
}}


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)]].  
The '''canousma''' ({{monzo|legend=1| 4 -14 3 4 }}, [[ratio]]: 4802000/4782969) is a [[7-limit]] [[comma]] measuring about 6.9 [[cent]]s. It is notable as the amount by which a stack of three instances of [[81/70]] falls short of [[14/9]]. It is also the interval separating the [[81/80|syntonic comma (81/80)]] from a stack of two [[245/243|sensamagic commas (245/243)]].  


== Temperament ==
== Temperaments ==
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]].  
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 [[Canou family]] for the rank-3 family where it is tempered out. See [[Canousmic temperaments]] for a collection of rank-2 temperaments where it is tempered out.
== Etymology ==
This comma was named by [[Flora Canou]] in 2020 after herself.


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


[[Category:Canou]]
[[Category:Canou]]
[[Category:Commas named after composers]]
[[Category:Commas named after music theorists]]
[[Category:Commas someone named after themselves]]

Latest revision as of 02:24, 16 November 2024

Interval information
Ratio 4802000/4782969
Factorization 24 × 3-14 × 53 × 74
Monzo [4 -14 3 4
Size in cents 6.874755¢
Name canousma
Color name sz4y33, saquadzo-atriyo 3rd
FJS name [math]\displaystyle{ \text{d3}^{5,5,5,7,7,7,7} }[/math]
Special properties reduced
Tenney height (log2 nd) 44.3847
Weil height (log2 max(n, d)) 44.3904
Wilson height (sopfr(nd)) 93
Comma size small
Open this interval in xen-calc

The canousma (monzo[4 -14 3 4, ratio: 4802000/4782969) is a 7-limit comma measuring about 6.9 cents. It is notable as the amount by which a stack of three instances of 81/70 falls short of 14/9. It is also the interval separating the syntonic comma (81/80) from a stack of two sensamagic commas (245/243).

Temperaments

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 hemimean in that regard. Tempering out both equates 245/243 with 126/125 (septimal semicomma) and 225/224 (septimal kleisma) leads to parakleismic.

See Canou family for the rank-3 family where it is tempered out. See Canousmic temperaments for a collection of rank-2 temperaments where it is tempered out.

Etymology

This comma was named by Flora Canou in 2020 after herself.

See also