Full Description
This four-volume set is the second edition of the now classic book "The Topos of Music". In Vol. I the author explains the theory's conceptual framework of denotators and forms, the classification of local and global musical objects, the mathematical models of harmony and counterpoint, and topologies for rhythm and motives. In Vol. II the author explains his theory of musical performance, developed in the language of differential geometry, introducing performance vector fields that generalize tempo and intonation. Volume III presents gesture theory, including a gesture philosophy for music, the mathematics of gestures, concept architectures and software for musical gesture theory, the multiverse perspective which reveals the relationship between gesture theory and the string theory in theoretical physics, and applications of gesture theory to a number of musical themes, including counterpoint, modulation theory, free jazz, Hindustani music, and vocal gestures. Finally, Vol. IV contains appendices, explaining background topics in sound, mathematics, and music.
Contents
Part I Introduction and Orientation.- Part II Navigation on Concept Spaces.- Part III Local Theory.- Part IV Global Theory.- Part V Topologies for Rhythm and Motives.- Part VI Harmony.- Part VII Counterpoint.- Part VIII Structure Theory of Performance.- Part IX Expressive Semantics.- Part X RUBATO.- Part XI Statistics of Analysis and Performance.- Part XII Inverse Performance Theory.- Part XIII Operationalization of Poiesis.- Part XIV String Quartet Theory.- Part XV Gesture Philosophy for Music.- Part XVI Mathematics of Gestures.- Part XVII Concept Architectures and Software for Gesture Theory.- Part XVIII The Multiverse Perspective.- Part XIX Gestures in Music and Performance Theory, and in Ethnomusicology.- Part XX Appendix: Sound.- Part XXI Appendix: Mathematical Basics.- Part XXII Appendix: Complements in Physics.- Part XXIII Appendix: Tables.- Part XXIV References and Index.
