13edo scales: Difference between revisions
| Line 84: | Line 84: | ||
This operation might change the mood of the scale drastically. For example, Mnarian, a "minor" mode, becomes Karakalian, a "major" mode. | This operation might change the mood of the scale drastically. For example, Mnarian, a "minor" mode, becomes Karakalian, a "major" mode. | ||
== | ==Nonatonic (4L 5s)== | ||
Generated by 3\13, the 276.9-cent minor third approximating [[13/11]], this scale sounds a little like the octatonic scale in 12edo with an extra small step inserted. Two of these make an 11/8 and three make a 13/8, making this scale very good for 4:11:13 triads. (In terms of regular temperament theory, this makes 13edo a tuning for the [[Color notation|bithotrilu]] temperament that tempers out the bithotrilu comma 1352/1331 = {{monzo|3 0 0 0 -3 2}}, aka "lovecraft temperament".) [[17edo]] also supports a similar 4L 5s scale, generated by the 4\17 minor third, that tempers out the same comma. [[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 approximating [[13/11]], this scale sounds a little like the octatonic scale in 12edo with an extra small step inserted. Two of these make an 11/8 and three make a 13/8, making this scale very good for 4:11:13 triads. (In terms of regular temperament theory, this makes 13edo a tuning for the [[Color notation|bithotrilu]] temperament that tempers out the bithotrilu comma 1352/1331 = {{monzo|3 0 0 0 -3 2}}, aka "lovecraft temperament".) [[17edo]] also supports a similar 4L 5s scale, generated by the 4\17 minor third, that tempers out the same comma. [[Orwell|Similar scales]] also exist in 22edo and 31edo with flatter generators, but they won't approximate the 13th harmonic. | ||