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In music, a Klumpenhouwer Network is "any network that uses T and/or I operations (transposition or inversion) to interpret interrelations among pcs" (pitch class sets).[1] According to George Perle, "a Klumpenhouwer network is a chord analyzed in terms of its dyadic sums and differences," and "this kind of analysis of triadic combinations was implicit in," his "concept of the cyclic set from the beginning",[2] cyclic sets being those "sets whose alternate elements unfold complementary cycles of a single interval."[3] It is named for the Canadian music theorist Henry Klumpenhouwer, a former doctoral student of David Lewin's.
- ^ Lewin, David (1990). "Klumpenhouwer Networks and Some Isographies That Involve Them". Music Theory Spectrum. 12 (1 (Spring)): 83–120. doi:10.2307/746147.
- ^ Perle, George (1993). "Letter from George Perle", Music Theory Spectrum, vol. 15, no. 2 (Autumn), pp. 300–303.
- ^ Perle, George (1996). Twelve-Tone Tonality, p. 21. ISBN 0-520-20142-6.