13edo scales: Difference between revisions

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== Tetrachordalism ==

=== 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.~~

Oneirotonic modes are scales made of two shrunken 12edo tetrachords, each spanning a minor fourth, and one trichord spanning a minor third. You can also 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 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.

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*[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

You can also just use two tetrachords each spanning 5\13, which would be identical to 12edo tetrachordalism.

With the sharp fourths/flat fifths, you get stretched 14edo tetrachordalism...

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 == Tetrachordalism ==
 === 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.
+Oneirotonic modes are scales made of two shrunken 12edo tetrachords, each spanning a minor fourth, and one trichord spanning a minor third. You can also 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 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.
@@ Line 400: / Line 398: @@
 *[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
+You can also just use two tetrachords each spanning 5\13, which would be identical to 12edo tetrachordalism.
+With the sharp fourths/flat fifths, you get stretched 14edo tetrachordalism...