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010   $a9786612588235
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181   $ctxt
182   $cc
183   $acr
200 10$aSingle-voice transformations$b[electronic resource] $ea model for parsimonious voice leading /$fby Brandon Derfler
210   $aNewcastle upon Tyne $cCambridge Scholars Publishing$d2010
215   $a1 online resource (223 p.)
300   $aOriginally presented as: Thesis (Ph. D.)--University of Washington, 2007.
311   $a1-4438-1860-7 
320   $aIncludes bibliographical references (p. [180]-194) and index.
327   $aTABLE 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
330   $aThis 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...
606   $aMusic theory$xMathematics
606   $aHarmony
606   $aMusical intervals and scales
615  0$aMusic theory$xMathematics.
615  0$aHarmony.
615  0$aMusical intervals and scales.
676   $a781.2/37
700   $aDerfler$b Brandon Joel$01541186
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910788983103321
996   $aSingle-voice transformations$93793231
997   $aUNINA