Canousma
Ratio | 4802000/4782969 |
Factorization | 2^{4} × 3^{-14} × 5^{3} × 7^{4} |
Monzo | [4 -14 3 4⟩ |
Size in cents | 6.8747554¢ |
Name | canousma |
Color name | sz^{4}y^{3}3, saquadzo-atriyo 3rd |
FJS name | [math]\text{d3}^{5,5,5,7,7,7,7}[/math] |
Special properties | reduced |
Tenney height (log_{2} nd) | 44.3847 |
Weil height (log_{2} max(n, d)) | 44.3904 |
Wilson height (sopfr (nd)) | 93 |
Harmonic entropy (Shannon, [math]\sqrt{nd}[/math]) |
~1.62813 bits |
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.