729/704
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Ratio | 729/704 |
Monzo | [-6 6 0 0 -1⟩ |
Size in cents | 60.41206 |
Name(s) | Alpharabian infraaugmented prime, Alpharabian infraapotomic quartertone, undecimal major diesis |
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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.