13edo scales: Difference between revisions
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===Melodic properties=== | ===Melodic properties=== | ||
The decatonic scale can be viewed as containing archeotonic or oneirotonic scales with possible chromatic alterations, containing different degrees of some intervals. | The decatonic scale can be viewed as containing archeotonic or oneirotonic scales with possible chromatic alterations, containing different degrees of some intervals. Alternatively, it can be viewed as an extension of Magic[7] (generated by a major third). | ||
For example, the LsssLssLss mode can be viewed as: | For example, the LsssLssLss mode can be viewed as: | ||
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*From a 7-tone POV: P1 - M2 - m3~M3 - m4 - m5~M5 - m6 - m7~M7 - P8 | *From a 7-tone POV: P1 - M2 - m3~M3 - m4 - m5~M5 - m6 - m7~M7 - P8 | ||
*From an 8-tone POV: P1 - M2 - m3~M3 - m4 - Mᴛ - M5 - m6 - m7~M7 - P8 or P1 - M2 - m3~M3 - m4 - Mᴛ - M5~A5 - A6 - M7 - P8, thus containing chromatically altered versions of Dylathian, Ilarnekian, Ultharian, and Celephaïsian | *From an 8-tone POV: P1 - M2 - m3~M3 - m4 - Mᴛ - M5 - m6 - m7~M7 - P8 or P1 - M2 - m3~M3 - m4 - Mᴛ - M5~A5 - A6 - M7 - P8, thus containing chromatically altered versions of Dylathian, Ilarnekian, Ultharian, and Celephaïsian | ||
Magic[7], the 3113131 subset, is more important from the regular temperament POV, in that you can modulate up by major thirds by using 4:5:13 triads on it. The subset is also melodically interesting and pleasing. | |||
==Other stuff== | ==Other stuff== | ||
todo: try added fifths or tritones, describe chords with two additions or more | todo: try added fifths or tritones, describe chords with two additions or more | ||