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  • © 2017

The Topos of Music I: Theory

Geometric Logic, Classification, Harmony, Counterpoint, Motives, Rhythm

Authors:

  • Describes a universal conceptual approach to the computational science of music
  • Comprises detailed models of harmony, rhythm, motives, and counterpoint, together with classic examples from the compositions of Beethoven and Schumann
  • Presents an indispensable basis for computer implementation of musical creativity and analysis of harmonic, motivic, contrapuntal, and rhythmical structures
  • Offers a unique source to learn about classification theorems and lists of local and global musical structures

Part of the book series: Computational Music Science (CMS)

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Table of contents (31 chapters)

  1. Front Matter

    Pages i-xlix
  2. Introduction and Orientation

    1. Front Matter

      Pages 1-1
    2. What Is Music About?

      • Guerino Mazzola
      Pages 3-7
    3. Topography

      • Guerino Mazzola
      Pages 9-19
    4. Musical Ontology

      • Guerino Mazzola
      Pages 21-25
    5. Models and Experiments in Musicology

      • Guerino Mazzola
      Pages 27-32
  3. Navigation on Concept Spaces

    1. Front Matter

      Pages 33-33
    2. Navigation

      • Guerino Mazzola
      Pages 35-40
    3. Denotators

      • Guerino Mazzola
      Pages 41-85
  4. Local Theory

    1. Front Matter

      Pages 87-87
    2. Local Compositions

      • Guerino Mazzola
      Pages 89-112
    3. Symmetries and Morphisms

      • Guerino Mazzola
      Pages 113-144
    4. Yoneda Perspectives

      • Guerino Mazzola
      Pages 145-156
    5. Paradigmatic Classification

      • Guerino Mazzola
      Pages 157-165
    6. Orbits

      • Guerino Mazzola
      Pages 167-223
    7. Topological Specialization

      • Guerino Mazzola
      Pages 225-241
  5. Global Theory

    1. Front Matter

      Pages 243-243
    2. Global Compositions

      • Guerino Mazzola
      Pages 245-271
    3. Global Perspectives

      • Guerino Mazzola
      Pages 273-285
    4. Global Classification

      • Guerino Mazzola
      Pages 287-301

About this book

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.

Authors and Affiliations

  • School of Music , University of Minnesota, Minneapolis, USA

    Guerino Mazzola

Bibliographic Information

Buy it now

Buying options

eBook USD 119.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 159.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 159.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access