DifferenceToneProgressions
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Difference tone progressions are chord progressions with attention to the difference tones generated by intervals. They are easily discovered by playing microtonal (small step) voice leading with a timbre that creates harmonic distortion (or, let your ear do it by cranking up the volume).
from ThirtyOneToneSinginCamp:
Four difference tone progressions: score dtp.pdf
Of course, the difference tone of the upper notes itself would be at least an octave lower.
Recordings of the first three, in all inversions of part assignments, which sometimes necessitated some re-ranging: