9edo: Difference between revisions

Sectioning
Divisors -> subsets and supersets; -redundant categories
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Here the characterizations are taken from [[Scala]], which also describes the scale itself as "Pelog Nawanada: Sunda". Chords such as 1/1 - 7/6 - 49/36 - 12/7 are therefore natural ones for 9edo. The above scale generates the [[just intonation subgroup]] 2.27/25.7/3, which is closely related to 9edo.  
Here the characterizations are taken from [[Scala]], which also describes the scale itself as "Pelog Nawanada: Sunda". Chords such as 1/1 - 7/6 - 49/36 - 12/7 are therefore natural ones for 9edo. The above scale generates the [[just intonation subgroup]] 2.27/25.7/3, which is closely related to 9edo.  
The [[ennealimmal]] temperament, which contains 9et as a subset and are excellent in the 7-limit, maps the scale above consistently with regards to their respective steps. Thus 9edo can be viewed as the trivial tuning of ennealimmal.


=== Odd harmonics ===
=== Odd harmonics ===
{{Harmonics in equal|9}}
{{Harmonics in equal|9}}


=== Divisors ===
=== Subsets and supersets ===
9edo is the first odd composite edo.
9edo is the first odd composite edo, containing [[3edo]] as a subset.
 
The [[ennealimmal]] temperament, which contains 9et as a subset and is excellent in the 7-limit, maps the scale above consistently with regards to their respective steps. Thus 9edo can be viewed as the trivial tuning of ennealimmal.  


== Notation ==
== Notation ==
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* [https://drive.google.com/a/playgroundsessions.com/folderview?id=0BwsXD8q2VCYUamtVWEgyRFA5alU&usp=sharing#list 9edo ear-training exercises] by [[Alex Ness]].
* [https://drive.google.com/a/playgroundsessions.com/folderview?id=0BwsXD8q2VCYUamtVWEgyRFA5alU&usp=sharing#list 9edo ear-training exercises] by [[Alex Ness]].


[[Category:9edo| ]] <!-- main article -->
[[Category:Equal divisions of the octave|#]] <!-- 1-digit number -->
[[Category:9-tone scales]]
[[Category:9-tone scales]]
[[Category:Listen]]
[[Category:Listen]]
[[Category:Macrotonal]]
[[Category:Macrotonal]]