Semicanousma: Difference between revisions
Jump to navigation
Jump to search
+infobox and rewriting |
Cleanup and sectioning |
||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 14641/14580 | | Ratio = 14641/14580 | ||
| Monzo = -2 -6 -1 0 4 | | Monzo = -2 -6 -1 0 4 | ||
| Line 10: | Line 9: | ||
}} | }} | ||
The '''semicanousma''', 14641/14580 = {{monzo|-2 -6 -1 0 4}}, is | The '''semicanousma''', 14641/14580 = {{monzo| -2 -6 -1 0 4 }}, is an [[11-limit]] [[comma]] measuring about 7.2 [[cent]]s, named for it is one of the commas tempered out in the [[semicanou]] temperament. It is the difference between [[121/120]] (biyatisma) and [[243/242]] (rastma). | ||
Tempering it out leads to the rank-4 | == Temperaments == | ||
Tempering it out leads to the rank-4 '''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 == | ||
* [[Semicanousmic temperaments]] | * [[Rank-4 temperament #Semicanousmic (14641/14580)]] | ||
* [[ | * [[Semicanousmic temperaments]], a collection of rank-3 temperament where it is tempered out | ||
* [[Small comma]] | |||
[[Category:11-limit]] | [[Category:11-limit]] | ||
[[Category:Small comma]] | [[Category:Small comma]] | ||
[[Category:Semicanousmic]] | [[Category:Semicanousmic]] | ||
Revision as of 11:35, 10 October 2021
| Interval information |
The semicanousma, 14641/14580 = [-2 -6 -1 0 4⟩, is an 11-limit comma measuring about 7.2 cents, named for it is one of the commas tempered out in the semicanou temperament. It is the difference between 121/120 (biyatisma) and 243/242 (rastma).
Temperaments
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
- Rank-4 temperament #Semicanousmic (14641/14580)
- Semicanousmic temperaments, a collection of rank-3 temperament where it is tempered out
- Small comma