Book 2002

The Topos of Music

Geometric Logic of Concepts, Theory, and Performance

Authors:

ISBN: 978-3-0348-9454-8 (Print) 978-3-0348-8141-8 (Online)

Table of contents (54 chapters)

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  1. Front Matter

    Pages i-xxx

  2. Introduction and Orientation

    1. Front Matter

      Pages 1-1

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      Chapter

      Pages 3-8

      What is Music About?

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      Chapter

      Pages 9-22

      Topography

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      Chapter

      Pages 23-28

      Musical Ontology

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      Chapter

      Pages 29-36

      Models and Experiments in Musicology

  3. Navigation on Concept Spaces

    1. Front Matter

      Pages 37-37

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      Chapter

      Pages 39-46

      Navigation

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      Chapter

      Pages 47-102

      Denotators

  4. Local Theory

    1. Front Matter

      Pages 103-103

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      Chapter

      Pages 105-133

      Local Compositions

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      Chapter

      Pages 135-174

      Symmetries and Morphisms

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      Chapter

      Pages 175-189

      Yoneda Perspectives

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      Chapter

      Pages 191-202

      Paradigmatic Classification

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      Chapter

      Pages 203-273

      Orbits

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      Chapter

      Pages 275-295

      Topological Specialization

  5. Global Theory

    1. Front Matter

      Pages 297-297

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      Chapter

      Pages 299-332

      Global Compositions

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      Chapter

      Pages 333-347

      Global Perspectives

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      Chapter

      Pages 349-367

      Global Classification

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      Chapter

      Pages 369-386

      Classifying Interpretations

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      Chapter

      Pages 387-395

      Esthetics and Classification

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      Chapter

      Pages 397-425

      Predicates

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      Chapter

      Pages 427-437

      Topoi of Music

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      Chapter

      Pages 439-452

      Visualization Principles

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