13edo: Difference between revisions

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Other approaches explored by specific composers and theorists are outlined further down, in the context of more complete tonal systems.
Other approaches explored by specific composers and theorists are outlined further down, in the context of more complete tonal systems.


Two appealing pentads in 13edo are 0-2-4-6-9 and its utonal counterpart, 0-3-5-7-9, which represents 8:9:10:11:13 and 1/(8:9:10:11:13), respectively. Both chords contain three 2-step intervals, each closely approximating the just ratio 10/9, and a 6-step interval, closely approximating 11/8.
Two appealing pentads in 13edo are 0-2-4-6-9 and its utonal counterpart, 0-3-5-7-9, which represents 8:9:10:11:13 and 1/(13:11:10:9:8), respectively. Both chords contain three 2-step intervals, each closely approximating the just ratio 10/9, and a 6-step interval, closely approximating 11/8.


Play the 4:5:9 chord:
Play the 4:5:9 chord: