729/704: Difference between revisions
This 11-limit interval has been completely neglected, and currently isn't even listed on the Huygens-Fokker Foundation's interval list. Oh well, looks like I'm the one who gets to name it. |
No edit summary |
||
| (10 intermediate revisions by 6 users not shown) | |||
| Line 1: | Line 1: | ||
{{Infobox Interval | {{Infobox Interval | ||
| Name = Alpharabian infra-augmented prime, Alpharabian infra-apotomic quartertone, undecimal major diesis | |||
| Color name = L1u1, lalu 1sn, Lalu comma | |||
| Comma = yes | |||
| Name = Alpharabian | |||
| Color name = | |||
| | |||
}} | }} | ||
'''729/704''', the '''Alpharabian | '''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 infra-augmented prime''' or '''Alpharabian infra-apotomic 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]]. Furthermore, three instances of this interval fall short of [[10/9]] by a comma that is only a little over a cent in size. | |||
== Sagittal notation == | |||
In the [[Sagittal]] system, the downward version of this comma (possibly tempered) is represented by the sagittal {{sagittal | (!) }} and is called the '''11 large diesis''', or '''11L''' for short, because the simplest interval it notates is 11/1 (equiv. 11/8), as for example in F-B{{nbhsp}}{{sagittal | (!) }}. The upward version is called '''1/11L''' or '''11L up''' and is represented by {{sagittal| (|) }}. | |||
== See also == | == See also == | ||
* [[ | * [[1408/729]] – its [[octave complement]] | ||
* [[Gallery of just intervals]] | * [[Gallery of just intervals]] | ||
== References == | |||
[[Category: | <references/> | ||
[[Category:Quartertone]] | |||
[[Category:Alpharabian]] | [[Category:Alpharabian]] | ||
[[Category:Commas named after their interval size]] | |||
Latest revision as of 19:12, 8 June 2025
| Interval information |
Alpharabian infra-apotomic 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 infra-augmented prime or Alpharabian infra-apotomic 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. Furthermore, three instances of this interval fall short of 10/9 by a comma that is only a little over a cent in size.
Sagittal notation
In the Sagittal system, the downward version of this comma (possibly tempered) is represented by the sagittal and is called the 11 large diesis, or 11L for short, because the simplest interval it notates is 11/1 (equiv. 11/8), as for example in F-B . The upward version is called 1/11L or 11L up and is represented by .