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Pitch-Class Set Multiplication in Theory and Practice

1998/04/01 by Stephen Heinemann · 2 citations
Arts and Humanities · Computer Science · #Musicology and Musical Analysis #Music Technology and Sound Studies #Music and Audio Processing

paper · doi:10.2307/746157

openalex publication_date 1998/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

This article examines pitch-class set multiplication in its various manifestations, formalized as simple, compound, and complex multiplication. Simple multiplicative techniques are related to their origins in sequence and ostinato, and different technical approaches by Slonimsky, Lutoslawski, and Stravinsky are exemplified. Complex multiplication is posited as an elegant, uniquely Boulezian technique for generating unordered pitch-class sets. An analysis of sets within Le Marteau sans maître demonstrates process-based listening strategies.

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