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Single-Voice Transformations : A Model for Parsimonious Voice Leading by Brandon Derfler, Author is a nonfiction available to read on EtoBox.

What is Single-Voice Transformations : A Model for Parsimonious Voice Leading about?

This study demonstrates how smooth voice leading in music can be effectively modeled using concepts from abstract algebra. Minute voice-leading displacements are explained as iterations of the basic operation, the single-semitone transformation (SST). The SST is a type of transformation in which only a single voice in a chord is transposed by a semitone. Unlike previous music theoretic studies, the SST model does not rely on twelve-tone operations on sets to determine voice-leading paths. SST-succession classes can then be defined; they allow SSTs to be generalized as parsimonious voice-leading relations between pair-ordered set classes. Voice leading between chords of different “sizes” can be obtained through split and fuse operations. Once a mathematical basis for smooth voice-leading is formalized, 3D graphical representations in the form of lattices of parsimoniously related chord types can be developed. The study compares the single-voice transformational model to transformational theories of atonal voice leading and to recent work in the emergent field of neo-Riemannian theory. The final chapter examines music from tonal, atonal, and “post-atonal” stylistic periods by Chopin,

Who reads Single-Voice Transformations : A Model for Parsimonious Voice Leading?

Author

Brandon Derfler, Author

Publisher

Cambridge Scholars Publishing

Published

2010

Language

EN

ISBN

9781282588233

Category

nonfiction

Subjects

Music, Mathematics, Arts