02506nam 2200601Ia 450 991046459470332120200520144314.01-282-58823-097866125882351-4438-1894-1(CKB)3390000000009134(EBL)1133141(OCoLC)830167763(SSID)ssj0000442438(PQKBManifestationID)11302418(PQKBTitleCode)TC0000442438(PQKBWorkID)10445270(PQKB)10579759(MiAaPQ)EBC1133141(Au-PeEL)EBL1133141(CaPaEBR)ebr10677043(CaONFJC)MIL258823(EXLCZ)99339000000000913420100517d2010 uy 0engur|n|---|||||txtccrSingle-voice transformations[electronic resource] a model for parsimonious voice leading /by Brandon DerflerNewcastle upon Tyne Cambridge Scholars Publishing20101 online resource (223 p.)Originally presented as: Thesis (Ph. D.)--University of Washington, 2007.1-4438-1860-7 Includes bibliographical references (p. [180]-194) and index.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; INDEXThis 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...Music theoryMathematicsHarmonyMusical intervals and scalesElectronic books.Music theoryMathematics.Harmony.Musical intervals and scales.781.2/37Derfler Brandon Joel972257MiAaPQMiAaPQMiAaPQBOOK9910464594703321Single-voice transformations2210712UNINA