729/704: Difference between revisions
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Created page with "{{Infobox Interval | Icon = | Ratio = 729/704 | Monzo = -6 6 0 0 -1 | Cents = 60.41206 | Name = Alpharabian infraaugmented prime, <br>Alpharabian infraapotomic quartertone |..." |
Additional name found in the Huygens-Fokker Foundation's interval list |
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| Monzo = -6 6 0 0 -1 | | Monzo = -6 6 0 0 -1 | ||
| Cents = 60.41206 | | Cents = 60.41206 | ||
| Name = Alpharabian infraaugmented prime, <br>Alpharabian infraapotomic quartertone | | Name = Alpharabian infraaugmented prime, <br>Alpharabian infraapotomic quartertone, <br> undecimal major diesis | ||
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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''', 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'''. | ||
== See also == | == See also == | ||
* [[1408/729]] – its [[octave complement]] | * [[1408/729]] – its [[octave complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
Revision as of 16:42, 20 November 2021
| Interval information |
Alpharabian infraapotomic quartertone,
undecimal major diesis
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 Huygens-Fokker Foundation's interval list as the undecimal major diesis.