13edo scales: Difference between revisions

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=== Tetrachordal 8-note scales ===

You can also view oneirotonic modes as scales made of two shrunken 12edo tetrachords, each spanning a minor fourth, and one trichord spanning a minor third. This will let you build 13edo "tetrachordal" scales with a similar structure that is not one of the 8 modes, with tetrachord structures similar to 12edo ones. For example:

You can also view oneirotonic as scales made of two tetrachords each spanning a minor fourth and one trichord spanning a minor third. This will let you build 13edo "tetrachordal" scales with a similar structure that is not one of the 8 modes, with tetrachord structures similar to 12edo ones. For example:

*[2 2 1] [2 1 2] [1 2] is a kind of Mixolydian

*[2 1 1] [2 1] [1 3 1] is a kind of harmonic minor (also obtained by lowering the 7th degree of the Celephaïsian mode)

*[2 1 2] [2 2 1] [2 1] is a kind of Dorian. I personally think this sounds better than Ultharian.

*[2 1 2] [2 1] [1 3 1] is a kind of harmonic minor (also obtained by lowering the 7th degree of the Celephaïsian mode)

*[1 3 1] [2 1] [1 2 2] is a kind of Phrygian dominant scale (which also contains 1 3 1 2 2 2 2, a chromatic modification of the Zo-Kalarian mode of the archeotonic scale).

**Harmonically this will give you an 8:10:13 over the first degree, an 8:10:11 over the second degree, a "minor" key and an 8:9:10:11:13 over the fourth degree, an 8:9:10:11 over the fifth degree and an 8:9:10:13 over the seventh degree.

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 === Tetrachordal 8-note scales ===
+You can also view oneirotonic modes as scales made of two shrunken 12edo tetrachords, each spanning a minor fourth, and one trichord spanning a minor third. This will let you build 13edo "tetrachordal" scales with a similar structure that is not one of the 8 modes, with tetrachord structures similar to 12edo ones. For example:
-You can also view oneirotonic as scales made of two tetrachords each spanning a minor fourth and one trichord spanning a minor third. This will let you build 13edo "tetrachordal" scales with a similar structure that is not one of the 8 modes, with tetrachord structures similar to 12edo ones. For example:
+*[2 2 1] [2 1 2] [1 2] is a kind of Mixolydian
-*[2 1 1] [2 1] [1 3 1] is a kind of harmonic minor (also obtained by lowering the 7th degree of the Celephaïsian mode)
+*[2 1 2] [2 2 1] [2 1] is a kind of Dorian. I personally think this sounds better than Ultharian.
+*[2 1 2] [2 1] [1 3 1] is a kind of harmonic minor (also obtained by lowering the 7th degree of the Celephaïsian mode)
 *[1 3 1] [2 1] [1 2 2] is a kind of Phrygian dominant scale (which also contains 1 3 1 2 2 2 2, a chromatic modification of the Zo-Kalarian mode of the archeotonic scale).
 **Harmonically this will give you an 8:10:13 over the first degree, an 8:10:11 over the second degree, a "minor" key and an 8:9:10:11:13 over the fourth degree, an 8:9:10:11 over the fifth degree and an 8:9:10:13 over the seventh degree.