Canousma: Difference between revisions
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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 | 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 consisting of [[112/81]] and three instances of [[35/27]] exceeds the [[tritave]]. It is also the interval separating the [[81/80|syntonic comma (81/80)]] from a stack of two [[245/243|sensamagic commas (245/243)]]. | ||
== Temperaments == | == Temperaments == | ||
Revision as of 17:06, 10 January 2024
| Interval information |
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 consisting of 112/81 and three instances of 35/27 exceeds the tritave. 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.