13edo scales: Difference between revisions

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====Modes with sharp tritone====
====Modes with sharp tritone====
The overview of the intervals and their harmonic function in the brighter modes (Dylathian, Ilarnekian, Celephaïsian and Ultharian, Mnarian):
The overview of the intervals and their harmonic function in the brighter modes (Dylathian, Ilarnekian, Celephaïsian and Ultharian, but especially the first three):


*The ''basis'', or the intervals that provide the basic consonances are: the major second, the thirds and the minor fourth. These are the most important for functional harmony.
*The ''basis'', or the intervals that provide the basic consonances are: the major second, the thirds and the minor fourth. These are the most important for functional harmony.
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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...