9edo: Difference between revisions
→Theory: the 7-limit mapping is a property of all ennealimmal tunings |
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{{Infobox ET}} | {{Infobox ET}} | ||
{{EDO intro|9}} | {{EDO intro|9}} | ||
== Theory == | == Theory == | ||
[[File:9edo scale.mp3|thumb|A chromatic 9edo scale on C.]] | [[File:9edo scale.mp3|thumb|A chromatic 9edo scale on C.]] | ||
The 9edo scale has the peculiar property of representing certain [[7-limit]] intervals almost exactly. A 7-limit version of 9edo goes | The 9edo scale has the peculiar property of representing certain [[7-limit]] intervals almost exactly. A 7-limit version of 9edo goes | ||
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9: 2/1 1200.000 octave | 9: 2/1 1200.000 octave | ||
Here the characterizations are taken from [ | 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 === | |||
{{Harmonics in equal|9}} | |||
=== Divisors === | |||
9edo is the first odd composite edo. | |||
== Notation == | == Notation == | ||