729/704: Difference between revisions

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{{Infobox Interval

~~| Icon =~~

| Ratio = 729/704

| Monzo = -6 6 0 0 -1

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}}

'''729/704''', the '''Alpharabian infraaugmented prime''' or '''Alpharabian infraapotomic quartertone''' 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]]~~. This interval is referred to in the [http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list] as the '''undecimal major diesis'''~~.

'''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 infraaugmented prime''' or '''Alpharabian infraapotomic 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]].

== See also ==

* [[1408/729]] – its [[octave complement]]

* [[Alpharabian tuning]]

* [[Gallery of just intervals]]

== References ==

[[Category:11-limit]]

[[Category:~~Interval ratio~~]]

[[Category:Quartertone]]

[[Category:Alpharabian]]

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 {{Infobox Interval
-| Icon =
 | Ratio = 729/704
 | Monzo = -6 6 0 0 -1
@@ Line 10: / Line 9: @@
 }}
-'''729/704''', the '''Alpharabian infraaugmented prime''' or '''Alpharabian infraapotomic quartertone''' 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]].  This interval is referred to in the [http://www.huygens-fokker.org/docs/intervals.html Huygens-Fokker Foundation's interval list] as the '''undecimal major diesis'''.
+'''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 infraaugmented prime''' or '''Alpharabian infraapotomic 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]].
 == See also ==
 * [[1408/729]] – its [[octave complement]]
-* [[Alpharabian tuning]]
 * [[Gallery of just intervals]]
+== References ==
+<references/>
 [[Category:11-limit]]
-[[Category:Interval ratio]]
+[[Category:Quartertone]]
 [[Category:Alpharabian]]