13edo scales: Difference between revisions
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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. 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 LsssLssLss mode is the most otonal mode and has a 4:5:9:13:21 on the tonic: | The LsssLssLss mode is the most otonal mode and the only mode that has a 4:5:9:13:21 on the tonic: | ||
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