729/704: Difference between revisions
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{{Infobox Interval | {{Infobox Interval | ||
| Ratio = 729/704 | | Ratio = 729/704 | ||
| Monzo = -6 6 0 0 -1 | | 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]] | '''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 == | == See also == | ||
* [[1408/729]] – its [[octave complement]] | * [[1408/729]] – its [[octave complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
== References == | |||
<references/> | |||
[[Category:11-limit]] | [[Category:11-limit]] | ||
[[Category: | [[Category:Quartertone]] | ||
[[Category:Alpharabian]] | [[Category:Alpharabian]] | ||
Revision as of 16:12, 23 March 2022
| Interval information |
Alpharabian infraapotomic quartertone,
undecimal major diesis
729/704, conventionally named the undecimal major diesis[1], is a medium comma measuring about 60.4 ¢. 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.