The Topos of Music I: Theory

Description

This is the first volume of the second edition of the now classic book “The Topos of Music”. 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. Front Matter ....Pages i-xlix Front Matter ....Pages 1-1 What Is Music About? (Guerino Mazzola)....Pages 3-7 Topography (Guerino Mazzola)....Pages 9-19 Musical Ontology (Guerino Mazzola)....Pages 21-25 Models and Experiments in Musicology (Guerino Mazzola)....Pages 27-32 Front Matter ....Pages 33-33 Navigation (Guerino Mazzola)....Pages 35-40 Denotators (Guerino Mazzola)....Pages 41-85 Front Matter ....Pages 87-87 Local Compositions (Guerino Mazzola)....Pages 89-112 Symmetries and Morphisms (Guerino Mazzola)....Pages 113-144 Yoneda Perspectives (Guerino Mazzola)....Pages 145-156 Paradigmatic Classification (Guerino Mazzola)....Pages 157-165 Orbits (Guerino Mazzola)....Pages 167-223 Topological Specialization (Guerino Mazzola)....Pages 225-241 Front Matter ....Pages 243-243 Global Compositions (Guerino Mazzola)....Pages 245-271 Global Perspectives (Guerino Mazzola)....Pages 273-285 Global Classification (Guerino Mazzola)....Pages 287-301 Classifying Interpretations (Guerino Mazzola)....Pages 303-317 Esthetics and Classification (Guerino Mazzola)....Pages 319-325 Predicates (Guerino Mazzola)....Pages 327-349 Topoi of Music (Guerino Mazzola)....Pages 351-359 Visualization Principles (Guerino Mazzola)....Pages 361-372 Front Matter ....Pages 373-373 Metrics and Rhythmics (Guerino Mazzola)....Pages 375-381 Motif Gestalts (Guerino Mazzola)....Pages 383-409 Front Matter ....Pages 411-411 Critical Preliminaries (Guerino Mazzola)....Pages 413-415 Harmonic Topology (Guerino Mazzola)....Pages 417-434 Harmonic Semantics (Guerino Mazzola)....Pages 435-452 Cadence (Guerino Mazzola)....Pages 453-462 Modulation (Guerino Mazzola)....Pages 463-486 Applications (Guerino Mazzola)....Pages 487-504 Front Matter ....Pages 505-505 Melodic Variation by Arrows (Guerino Mazzola)....Pages 507-515 Interval Dichotomies as an Expression of Contrast (Guerino Mazzola)....Pages 517-529 Modeling Counterpoint by Local Symmetries (Guerino Mazzola)....Pages 531-543 Back Matter ....Pages 545-656