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

| Ratio = 14641/14580

| Name = semicanousma

| Color name = 1o<sup>4</sup>g1, quadlo-agu unison

| Comma = yes

}}

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 an [[11-limit]] [[comma]] measuring about 7.2 [[cent]]s, named for the fact that it is one of the commas tempered out in the [[semicanou]] temperament. It is the amount by which a stack of four [[11/9|Alpharabian artoneutral thirds (11/9)]] exceeds the [[20/9|ptolemaic ninth (20/9)]]. It is also the difference between [[121/120]] (biyatisma) and [[243/242]] (rastma).

== 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 the comma 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 ==

* [[~~Comma~~]]

* [[Rank-4 temperament #Semicanousmic (14641/14580)]]

* [[Semicanousmic clan]], the clan of rank-3 temperaments where it is tempered out

* [[Small comma]]

~~[[Category:11-limit]]~~

~~[[Category:Small comma]]~~

[[Category:Semicanousmic]]

[[Category:Commas named after composers]]

[[Category:Commas named after music theorists]]

@@ Line 1: / Line 1: @@
-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
+| Ratio = 14641/14580
+| Name = semicanousma
+| Color name = 1o<sup>4</sup>g1, quadlo-agu unison
+| Comma = yes
+}}
-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 an [[11-limit]] [[comma]] measuring about 7.2 [[cent]]s, named for the fact that it is one of the commas tempered out in the [[semicanou]] temperament. It is the amount by which a stack of four [[11/9|Alpharabian artoneutral thirds (11/9)]] exceeds the [[20/9|ptolemaic ninth (20/9)]]. It is also the difference between [[121/120]] (biyatisma) and [[243/242]] (rastma).
+== 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 the comma 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 ==
-* [[Comma]]
+* [[Rank-4 temperament #Semicanousmic (14641/14580)]]
+* [[Semicanousmic clan]], the clan of rank-3 temperaments where it is tempered out
+* [[Small comma]]
-[[Category:11-limit]]
-[[Category:Small comma]]
 [[Category:Semicanousmic]]
+[[Category:Commas named after composers]]
+[[Category:Commas named after music theorists]]