Canousma: Difference between revisions

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m Normalising usage of Infobox Interval
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{{Infobox Interval
{{Infobox Interval
| Icon =
| Ratio = 4802000/4782969
| Ratio = 4802000/4782969
| Monzo = 4 -14 3 4
| Cents = 6.8748
| Name = canousma
| Name = canousma
| Color name =
| Comma = yes
| FJS name =
| Sound =  
}}
}}


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* [[Small comma]]
* [[Small comma]]


[[Category:7-limit]]
[[Category:Small commas]]
[[Category:Canou]]
[[Category:Canou]]

Revision as of 17:29, 25 October 2022

Interval information
Ratio 4802000/4782969
Factorization 24 × 3-14 × 53 × 74
Monzo [4 -14 3 4
Size in cents 6.874755¢
Name canousma
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, 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