Single-voice transformations : a model for parsimonious voice leading / by Brandon Derfler.

Format:

Book

Author/Creator:

Derfler, Brandon Joel.

Language:

English

Subjects (All):

Music theory--Mathematics.

Music theory.

Harmony.

Musical intervals and scales.

Physical Description:

1 online resource (223 p.)

Edition:

1st ed.

Place of Publication:

Newcastle upon Tyne : Cambridge Scholars Publishing, 2010.

Language Note:

English

Summary:

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...

Contents:

TABLE OF CONTENTS; LIST OF FIGURES; LIST OF TABLES; ACKNOWLEDGMENTS; CHAPTER 1; CHAPTER 2; CHAPTER 3; CHAPTER 4; CHAPTER 5; CHAPTER 6; APPENDIX A; APPENDIX B; NOTES; REFERENCES; INDEX

Notes:

Originally presented as: Thesis (Ph. D.)--University of Washington, 2007.

Includes bibliographical references (p. [180]-194) and index.

Description based on metadata supplied by the publisher and other sources.

ISBN:

1-282-58823-0

9786612588235

1-4438-1894-1

OCLC:

830167763