Topos of Music

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.

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mathematical music theory;topos theory;music and composition software;concept architectures;classification of musical objects and processes;harmony;counterpoint;motivic topologies;performance theory;Rubato;Presto;OpenMusic;BigBang;embodiment;force fields;gesture;homology;multiverse;Stokes' theorem;String Theory