13edo scales: Difference between revisions

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Oneirotonic provides two Orwell tetrads, made of three stacked minor thirds making one minor sixth; we get them by taking every second degree of the scale, JLNP or KMOQ. They sound like squashed diminished chords, but not quite. One could play an earbending trick where a movement up a major third and up 3 minor thirds will get you back to where you started unlike in 12edo. The two Orwell tetrads contain the two copies of 8:11:13 in oneirotonic, Q-M-Ob or L-P-J in J Ilarnekian.
Oneirotonic provides two Orwell tetrads, made of three stacked minor thirds making one minor sixth; we get them by taking every second degree of the scale, JLNP or KMOQ. They sound like squashed diminished chords, but not quite. One could play an earbending trick where a movement up a major third and up 3 minor thirds will get you back to where you started unlike in 12edo. The two Orwell tetrads contain the two copies of 8:11:13 in oneirotonic, Q-M-Ob or L-P-J in J Ilarnekian.
====Modes with flat tritone====
====Modes with flat tritone====
The darker modes are radically different in character than the brighter modes.
The darker modes are radically different in character than the brighter modes...


Modes with a flat 5th degree sound weirder to diatonic ears, but ironically this can sound more stable since the flat 5th degree approximates an 11/8. Mnarian has a 4:9:11 on the tonic, Hlanithian has an 8:11:13:17 on the tonic, and Sarnathian has the Beloved Extra Special Tetrad 4:5:11:13 on the tonic. Ironically Sarnathian makes the 5/4 in the chord sound very dark since it's a diminished fourth, rather than a major third.
Hlanithian also has the tetrad 8:13:17:21 on the tonic (in the 13edo tuning).
===Tetrachordal 8-note scales===
===Tetrachordal 8-note scales===
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:
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: