The Topos of Music I Theory 2nd Edition by Guerino Mazzola ISBN 9783319643632 3319643630

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Product details:

ISBN 10:  3319643630

ISBN 13: 9783319643632

Author: Guerino Mazzola

 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.

Table of contents: 

1. What Is Music About?

2. Topography

3. Musical Ontology

4. Models and Experiments in Musicology

5. Navigation

6. Denotators

7. Local Compositions

8. Symmetries and Morphisms

9. Yoneda Perspectives

10. Paradigmatic Classification

11. Orbits

12. Topological Specialization

13. Global Compositions

14. Global Perspectives

15. Global Classification

16. Classifying Interpretations

17. Esthetics and Classification

18. Predicates

19. Topoi of Music

20. Visualization Principles

21. Metrics and Rhythmics

22. Motif Gestalts

23. Critical Preliminaries

24. Harmonic Topology

25. Harmonic Semantics

26. Cadence

27. Modulation

28. Applications

29. Melodic Variation by Arrows

30. Interval Dichotomies as an Expression of Contrast

31. Modeling Counterpoint by Local Symmetries

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Tags: Guerino Mazzola, Topos, Music, Theory