Semicanousma: Difference between revisions

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The '''semicanousma''', '''14641/14580''' = {{monzo|-2 -6 -1 0 4}} is a [[11-limit]] [[comma]] measuring about 7.2 cents, named for it is one of the commas tempered out in [[Canou family #Semicanou|semicanou temperament]].
{{Infobox Interval
| Icon =
| Ratio = 14641/14580
| Monzo = -2 -6 -1 0 4
| Cents = 7.2281
| Name = semicanousma
| Color name =
| FJS name =
| Sound =
}}


It is notable as the difference between [[121/120]], the biyatisma, and [[243/242]], the rastma. Tempering it out equates the two and splits an exact or approximate [[81/80]] into two equal parts. It identifies [[20/11]] by three [[11/9]]'s stacked, so an octave is also divided into 11/9-11/9-11/9-[[11/10]].  
The '''semicanousma''', 14641/14580 = {{monzo|-2 -6 -1 0 4}}, is a [[11-limit]] [[comma]] measuring about 7.2 cents, named for it is one of the commas tempered out in [[Canou family #Semicanou|semicanou temperament]]. It is the difference between [[121/120]] (biyatisma) and [[243/242]] (rastma).  
 
Tempering it out leads to the rank-4 [[semicanousmic temperaments|semicanousmic temperament]], which splits the [[81/80|syntonic comma]] into two equal parts, each representing 121/120~243/242, so it can be said to be the undecimal counterpart of both [[3136/3125|hemimean]] and [[canousma]]. It also identifies [[20/11]] by three [[11/9]]'s stacked, so an octave is divided into 11/9-11/9-11/9-[[11/10]].  


== See also ==
== See also ==

Revision as of 17:55, 10 October 2020

Interval information
Ratio 14641/14580
Factorization 2-2 × 3-6 × 5-1 × 114
Monzo [-2 -6 -1 0 4
Size in cents 7.22805¢
Name semicanousma
FJS name [math]\displaystyle{ \text{dd1}^{11,11,11,11}_{5} }[/math]
Special properties reduced
Tenney height (log2 nd) 27.6694
Weil height (log2 max(n, d)) 27.6755
Wilson height (sopfr(nd)) 71
Open this interval in xen-calc

The semicanousma, 14641/14580 = [-2 -6 -1 0 4, is a 11-limit comma measuring about 7.2 cents, named for it is one of the commas tempered out in semicanou temperament. It is the difference between 121/120 (biyatisma) and 243/242 (rastma).

Tempering it out leads to the rank-4 semicanousmic temperament, which splits the syntonic comma into two equal parts, each representing 121/120~243/242, so it can be said to be the undecimal counterpart of both hemimean and canousma. It also identifies 20/11 by three 11/9's stacked, so an octave is divided into 11/9-11/9-11/9-11/10.

See also