9edo: Difference between revisions
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| Prime factorization = 3<sup>2</sup> | | Prime factorization = 3<sup>2</sup> | ||
| Step size = 133.333¢ | | Step size = 133.333¢ | ||
| Fifth = 5\9 = 666.667¢ | | Fifth = 5\9 = 666.667¢ | ||
| Major 2nd = 1\9 = 133.333¢ | | Major 2nd = 1\9 = 133.333¢ | ||
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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 | ||
1 | 1: 27/25 133.238 large limma, BP small semitone | ||
2: 7/6 266.871 septimal minor third | 2: 7/6 266.871 septimal minor third | ||
3 | 3: 63/50 400.108 quasi-equal major third | ||
4 | 4: 49/36 533.742 Arabic lute acute fourth | ||
5 | 5: 72/49 666.258 Arabic lute grave fifth | ||
6 | 6: 100/63 799.892 quasi-equal minor sixth | ||
7: 12/7 933.129 septimal major sixth | 7: 12/7 933.129 septimal major sixth | ||
8 | 8: 50/27 1066.762 grave major seventh | ||
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 - | 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. | ||
== Notation == | == Notation == | ||