13edo scales: Difference between revisions

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 ==Decatonic (3L 7s)==
-The decatonic scale is optimized for 4:5:13 triads. It's generated by a major third, and two of them span a 4:5:13 triad, spanning degrees 1-4-8, and three of them span a 4:5:13:21 tetrad. Another advantage is that 11/8 belongs to the same interval class as 21/16 so you can make both extensions with one scale degree.
+The decatonic scale is optimized for 4:5:13 triads. It's generated by a major third, and two of them span a 4:5:13 triad, spanning degrees 1-4-8, and three of them span a 4:5:13:21 tetrad.
-The LsssLssLss mode is the most otonal mode and the only mode that has a 4:5:9:13:21 on the tonic:
+The LsssLssLss mode is the only mode that has a 4:5:9:13:21 on the tonic. If you want an 11/8 instead of a 21/16 you can sharpen the 5th degree to get LssLsssLsss.
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