Canousma: Difference between revisions
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The '''canousma''' | 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 the difference between the [[81/80|syntonic comma (81/80)]] and a stack of two [[245/243|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 [[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 == | ||
* [[Small comma]] | * [[Small comma]] | ||
[[Category:Canou]] | [[Category:Canou]] | ||
Revision as of 12:40, 27 August 2023
| Interval information |
The canousma (monzo: [4 -14 3 4⟩, ratio: 4802000/4782969) is a 7-limit comma measuring about 6.9 cents. It is the difference between the syntonic comma (81/80) and 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.