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Intervals:
18/18 (1/1) - unison
19/18 - large undevicesimal semitone
20/18 (10/9) - small whole tone
21/18 (7/6) - subminor third
22/18 (11/9) - neutral third
23/18 - unnamed
24/18 (4/3) - perfect fourth
25/18 - augmented fourth
26/18 (13/9) - tridecimal diminished fifth
27/18 (3/2) - perfect fifth
28/18 (14/9) - subminor sixth
29/18 - unnamed
30/18 (5/3) - major sixth
31/18 - unnamed
32/18 (16/9) - Pythagorean minor seventh
33/18 (11/6) - undecimal neutral seventh
34/18 (17/9) - large septendecimal major seventh
35/18 - septimal semidiminished octave
36/18 (2/1) - octave

Samples:
"Keharwa" by Maede Shafie
"Ko-Ko" by the Duke Ellington Orchestra
"Trains" by the Duke Ellington Orchestra

credits

from Modes of the Harmonic Series, released May 27, 2023

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Ethan Hein Brooklyn, New York

Ethan Hein teaches music at NYU and the New School. He maintains a widely-followed blog at ethanhein.com.

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