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 '''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 | == 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 | ||
* [[ | * [[Small comma]] | ||
[[Category:7-limit]] | [[Category:7-limit]] | ||
[[Category:Small comma]] | [[Category:Small comma]] | ||
[[Category:Canou]] | [[Category:Canou]] | ||
Revision as of 18:21, 19 March 2021
| Interval information |
The canousma, 4802000/4782969 = [4 -14 3 4⟩ 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).
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 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
- 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