9edo: Difference between revisions
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The 9-EDO scale has the peculiar property of representing certain [[7-limit]] intervals almost exactly. A 7-limit version of 9EDO goes | The 9-EDO 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. | ||
=== Differences between distributionally-even scales and smaller edos === | === Differences between distributionally-even scales and smaller edos === | ||