13edo scales: Difference between revisions
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===Modal harmony=== | ===Modal harmony=== | ||
How I think about the 8 modes: | |||
#Dylathian: 2 2 1 2 2 1 2 1 (major with mixolydian and "#5" hints) | |||
#Ilarnekian: 2 2 1 2 1 2 2 1 (major with "b6" hints) | |||
#Celephaïsian: 2 1 2 2 1 2 2 1 (the oneirotonic "melodic minor") | |||
#Ultharian: 2 1 2 2 1 2 1 2 (the oneirotonic Dorian) | |||
#Mnarian: 2 1 2 1 2 2 1 2 (half-diminished + Dorian) | |||
#Kadathian: 1 2 2 1 2 2 1 2 (Locrian + Dorian) | |||
#Hlanithian: 1 2 2 1 2 1 2 2 (Locrian + natural minor) | |||
#Sarnathian: 1 2 1 2 2 1 2 2 (diminished + natural minor) | |||
You can also view oneirotonic as scales made of two tetrachords each spanning a 21/16 and one trichord spanning a 7/6. 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 21/16 and one trichord spanning a 7/6. 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 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 1] [2 1] [1 3 1] is a kind of harmonic minor (also obtained by lowering the 7th degree of the Celephaïsian mode) | ||