Semicanousma: Difference between revisions

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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 ~~consisting~~ of ~~a [[perfect fifth]] and~~ four [[11/9|Alpharabian artoneutral thirds]] exceeds ~~a stack consisting of an~~ [[~~octave]] and a [[5~~/3]] ~~major sixth~~. It is also the difference between [[121/120]] (biyatisma) and [[243/242]] (rastma).

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 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]].

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 ==

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[[Category:Semicanousmic]]

[[Category:Commas named after composers]]

[[Category:Commas named after music theorists]]

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-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 consisting of a [[perfect fifth]] and four [[11/9|Alpharabian artoneutral thirds]] exceeds a stack consisting of an [[octave]] and a [[5/3]] major sixth.  It is also the difference between [[121/120]] (biyatisma) and [[243/242]] (rastma).
+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 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]].
+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 ==
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 [[Category:Semicanousmic]]
+[[Category:Commas named after composers]]
+[[Category:Commas named after music theorists]]