13edo scales: Difference between revisions

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==Nonatonic (4L 5s)==

Generated by 3\13, the 276.9 cent minor third, this scale sounds a little like the octatonic scale in 12edo with an extra small step inserted. Two of these make a 11/8 and three make a 13/11, making this scale very good for 8:11:13 triads. [[17edo]] also supports a similar 4L 5s scale, generated by 4\17 minor third. [[Orwell|Similar scales]] also exist in 22edo and 31edo with flatter generators, but they won't approximate the 13th harmonic.

Generated by 3\13, the 276.9 cent minor third, this scale sounds a little like the octatonic scale in 12edo with an extra small step inserted. Two of these make a 11/8 and three make a 13/11, making this scale very good for 4:11:13 triads. [[17edo]] also supports a similar 4L 5s scale, generated by 4\17 minor third. [[Orwell|Similar scales]] also exist in 22edo and 31edo with flatter generators, but they won't approximate the 13th harmonic.

The brightest mode is 0-2-3-5-6-8-9-11-12-13; you get 8:11:13 on degrees 1, 2, 3, 5, 7 and 9. Since you get 21/16 as the minor version of 11/8, you also get a few 16:21:26's with the same interval classes.

The brightest mode is 0-2-3-5-6-8-9-11-12-13; you get 4:11:13 on degrees 1, 2, 3, 5, 7 and 9. Since you get 21/16 as the minor version of 11/8, you also get a few 16:21:26's with the same interval classes.

==Chords==

todo: try added fifths or tritones, describe chords with two additions or more

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 ==Nonatonic (4L 5s)==
-Generated by 3\13, the 276.9 cent minor third, this scale sounds a little like the octatonic scale in 12edo with an extra small step inserted. Two of these make a 11/8 and three make a 13/11, making this scale very good for 8:11:13 triads. [[17edo]] also supports a similar 4L 5s scale, generated by 4\17 minor third. [[Orwell|Similar scales]] also exist in 22edo and 31edo with flatter generators, but they won't approximate the 13th harmonic.
+Generated by 3\13, the 276.9 cent minor third, this scale sounds a little like the octatonic scale in 12edo with an extra small step inserted. Two of these make a 11/8 and three make a 13/11, making this scale very good for 4:11:13 triads. [[17edo]] also supports a similar 4L 5s scale, generated by 4\17 minor third. [[Orwell|Similar scales]] also exist in 22edo and 31edo with flatter generators, but they won't approximate the 13th harmonic.
-The brightest mode is 0-2-3-5-6-8-9-11-12-13; you get 8:11:13 on degrees 1, 2, 3, 5, 7 and 9. Since you get 21/16 as the minor version of 11/8, you also get a few 16:21:26's with the same interval classes.
+The brightest mode is 0-2-3-5-6-8-9-11-12-13; you get 4:11:13 on degrees 1, 2, 3, 5, 7 and 9. Since you get 21/16 as the minor version of 11/8, you also get a few 16:21:26's with the same interval classes.
 ==Chords==
 todo: try added fifths or tritones, describe chords with two additions or more