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Mazzola, Guerino

The Topos of Music I: Theory

Mazzola, Guerino - The Topos of Music I: Theory, ebook

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ISBN: 9783319643649
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Table of contents

Part I. Introduction and Orientation

1. What Is Music About?
Guerino Mazzola

2. Topography
Guerino Mazzola

3. Musical Ontology
Guerino Mazzola

4. Models and Experiments in Musicology
Guerino Mazzola

Part II. Navigation on Concept Spaces

5. Navigation
Guerino Mazzola

6. Denotators
Guerino Mazzola

Part III. Local Theory

7. Local Compositions
Guerino Mazzola

8. Symmetries and Morphisms
Guerino Mazzola

9. Yoneda Perspectives
Guerino Mazzola

10. Paradigmatic Classification
Guerino Mazzola

11. Orbits
Guerino Mazzola

12. Topological Specialization
Guerino Mazzola

Part IV. Global Theory

13. Global Compositions
Guerino Mazzola

14. Global Perspectives
Guerino Mazzola

15. Global Classification
Guerino Mazzola

16. Classifying Interpretations
Guerino Mazzola

17. Esthetics and Classification
Guerino Mazzola

18. Predicates
Guerino Mazzola

19. Topoi of Music
Guerino Mazzola

20. Visualization Principles
Guerino Mazzola

Part V. Topologies for Rhythm and Motives

21. Metrics and Rhythmics
Guerino Mazzola

22. Motif Gestalts
Guerino Mazzola

Part VI. Harmony

23. Critical Preliminaries
Guerino Mazzola

24. Harmonic Topology
Guerino Mazzola

25. Harmonic Semantics
Guerino Mazzola

26. Cadence
Guerino Mazzola

27. Modulation
Guerino Mazzola

28. Applications
Guerino Mazzola

Part VII. Counterpoint

29. Melodic Variation by Arrows
Guerino Mazzola

30. Interval Dichotomies as an Expression of Contrast
Guerino Mazzola

31. Modeling Counterpoint by Local Symmetries
Guerino Mazzola

Keywords: Mathematics, Mathematics in Music, User Interfaces and Human Computer Interaction, Music, Computer Appl. in Arts and Humanities, Performing Arts, Creativity and Arts Education

Author(s)
Publisher
Springer
Publication year
2017
Language
en
Edition
2nd ed. 2017
Series
Computational Music Science
Category
Natural Sciences
Format
Ebook
eISBN (PDF)
9783319643649
Printed ISBN
978-3-319-64363-2

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