729/704: Difference between revisions

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{{Infobox Interval
{{Infobox Interval
| Ratio = 729/704
| Name = Alpharabian infraaugmented prime, Alpharabian infraapotomic quartertone, undecimal major diesis
| Monzo = -6 6 0 0 -1
| Cents = 60.41206
| Name = Alpharabian infraaugmented prime, <br>Alpharabian infraapotomic quartertone, <br> undecimal major diesis
| Color name =
| FJS name =
| Sound =
}}
}}


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<references/>
<references/>


[[Category:11-limit]]
[[Category:Quartertone]]
[[Category:Quartertone]]
[[Category:Alpharabian]]
[[Category:Alpharabian]]

Revision as of 16:52, 25 October 2022

Interval information
Ratio 729/704
Factorization 2-6 × 36 × 11-1
Monzo [-6 6 0 0 -1
Size in cents 60.41206¢
Names Alpharabian infraaugmented prime,
Alpharabian infraapotomic quartertone,
undecimal major diesis
FJS name [math]\displaystyle{ \text{A1}_{11} }[/math]
Special properties reduced
Tenney norm (log2 nd) 18.9692
Weil norm (log2 max(n, d)) 19.0196
Wilson norm (sopfr(nd)) 41
Open this interval in xen-calc

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.

See also

References