729/704: Difference between revisions

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'''729/704''', conventionally named the '''undecimal major diesis'''<ref>[http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list]</ref>, is a [[medium comma]] measuring about 60.4{{cent}}. In [[Alpharabian tuning]], it is called the '''Alpharabian infra-augmented prime''' or '''Alpharabian infra-apotomic quartertone'''.

It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]].

It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]]. While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out. This interval differs from the simpler [[28/27]] by the [[symbiotic comma]]. Furthermore, three instances of this interval fall short of [[10/9]] by a comma that is only a little over a cent in size.

== Sagittal notation ==

In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal | (!) }} and is called the '''11 large diesis''', or '''11L''' for short, because the simplest interval it notates is 11/1 (equiv. 11/8), as for example in F-B{{nbhsp}}{{sagittal | (!) }}. The upward version is called '''1/11L''' or '''11L up''' and is represented by {{sagittal| (|) }}.

== See also ==

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[[Category:Quartertone]]

[[Category:Alpharabian]]

[[Category:Commas named after their interval size]]

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 '''729/704''', conventionally named the '''undecimal major diesis'''<ref>[http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list]</ref>, is a [[medium comma]] measuring about 60.4{{cent}}. In [[Alpharabian tuning]], it is called the '''Alpharabian infra-augmented prime''' or '''Alpharabian infra-apotomic quartertone'''.
-It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]].  While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out.  This interval differs from the simpler [[28/27]] by the [[symbiotic comma]].
+It is a type of quartertone that differs from [[33/32]] by [[243/242]], and is itself the interval left over after subtracting 33/32 from [[2187/2048]].  While many may be accustomed to thinking of 33/32 and 729/704 as "semiaugmented primes", this analysis is only completely accurate when 243/242 is tempered out.  This interval differs from the simpler [[28/27]] by the [[symbiotic comma]].  Furthermore, three instances of this interval fall short of [[10/9]] by a comma that is only a little over a cent in size.
+== Sagittal notation ==
+In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal | (!) }} and is called the '''11 large diesis''', or '''11L''' for short, because the simplest interval it notates is 11/1 (equiv. 11/8), as for example in F-B{{nbhsp}}{{sagittal | (!) }}. The upward version is called '''1/11L''' or '''11L up''' and is represented by {{sagittal| (|) }}.
 == See also ==
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 [[Category:Quartertone]]
 [[Category:Alpharabian]]
+[[Category:Commas named after their interval size]]