13edo scales: Difference between revisions

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The darker modes are radically different in character than the brighter modes. Because of the consonant 11/8 minor tritone and the 13/8 minor sixth, 11/8 sounds more like a stable scale function and the relatively dissonant 21/16 minor fourth wants to be a major third resolving up to the 11/8.

~~=== 8-note scales as modified 12edo scales ===~~

~~As stated many times, octatonic scales in 13edo are heptatonic scales in 12edo with one extra small step. One could choose where to put the new small step, to get different 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:

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

*[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).

*[1 3 1] [2 1] [2 2 1] another Phrygian dominant

=== Samples ===

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 The darker modes are radically different in character than the brighter modes. Because of the consonant 11/8 minor tritone and the 13/8 minor sixth, 11/8 sounds more like a stable scale function and the relatively dissonant 21/16 minor fourth wants to be a major third resolving up to the 11/8.
-=== 8-note scales as modified 12edo scales ===
-As stated many times, octatonic scales in 13edo are heptatonic scales in 12edo with one extra small step. One could choose where to put the new small step, to get different 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:
-*[2 2 1] [2 1 2] [1 2] is a kind of Mixolydian
-*[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).
-*[1 3 1] [2 1] [2 2 1] another Phrygian dominant
 === Samples ===