9edo: Difference between revisions
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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: 27/25 133.238 large limma, BP small semitone | 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: 63/50 400.108 quasi-equal major third | 3: [[63/50]] 400.108 quasi-equal major third | ||
4: 49/36 533.742 Arabic lute acute fourth | 4: [[49/36]] 533.742 Arabic lute acute fourth | ||
5: 72/49 666.258 Arabic lute grave fifth | 5: [[72/49]] 666.258 Arabic lute grave fifth | ||
6: 100/63 799.892 quasi-equal minor sixth | 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: 50/27 1066.762 grave major seventh | 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 [[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. | ||