9edo: Difference between revisions

Plumtree (talk | contribs)
m Infobox ET now computes most parameters automatically
Eliora (talk | contribs)
style + note how 171edo and 441edo map these intervals to whole ninths of the octave.
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{{Infobox ET}}
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'''9 equal divisions of the octave''' ('''9edo''') is the [[tuning system]] derived by dividing the [[octave]] into 9 equal steps of 133+1/3 [[cent]]s each precisely. It is also the first odd composite edo.
{{EDO intro|9}}
 
9edo is the first odd composite edo.


== Theory ==
== Theory ==
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9: 2/1 1200.000 octave
9: 2/1 1200.000 octave


Here the characterizations are taken from [http://en.wikipedia.org/wiki/Scala_%28program%29 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_subgroups|just intonation subgroup]] 2.27/25.7/3, which is closely related to 9edo.
Here the characterizations are taken from [http://en.wikipedia.org/wiki/Scala_%28program%29 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_subgroups|just intonation subgroup]] 2.27/25.7/3, which is closely related to 9edo.
 
[[171edo]] and [[441edo]], which contain 9edo as a subset and are excellent in the 7-limit, map the scale above consistently with regards to their respective steps.  


== Notation ==
== Notation ==