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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
1

Peter Schat's Tone Clock: The Steering Function and Pitch-Class Set Transformation in Genen

Fernandez Ibarz, Erik January 2015 (has links)
Dutch composer Peter Schat’s (1935-2003) pursuit of a compositional system that could generate and preserve intervallic relationships, while allowing the composer as much flexibility as possible to manipulate musical material, led him to develop the tone-clock system. Fundamentally comprised of the twelve possible trichords, the tone clock permits each to generate a complete twelve-tone series through the “steering” principle, a concept traced to Boulez’s technique of pitch-class set multiplication. This study serves as an overview of Schat’s tone-clock system and focuses primarily on the effects of the steering function in “Genen” (2000). Furthermore, I expand on the tone-clock system by combining transformational theory with Julian Hook’s uniform triadic transformations and my proposed STEER and STEERS functions, which express the procedures of the steering principle as a mathematical formula. Using a series of transformational networks, I illustrate the unifying effect steering has on different structural levels in “Genen,” a post-tonal composition.

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