The Topos of Music I: Theory

Part I. Introduction and Orientation

1. What Is Music About?
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2. Topography
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3. Musical Ontology
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4. Models and Experiments in Musicology
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Part II. Navigation on Concept Spaces

5. Navigation
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6. Denotators
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Part III. Local Theory

7. Local Compositions
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8. Symmetries and Morphisms
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9. Yoneda Perspectives
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10. Paradigmatic Classification
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11. Orbits
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12. Topological Specialization
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Part IV. Global Theory

13. Global Compositions
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14. Global Perspectives
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15. Global Classification
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16. Classifying Interpretations
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17. Esthetics and Classification
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18. Predicates
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19. Topoi of Music
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20. Visualization Principles
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Part V. Topologies for Rhythm and Motives

21. Metrics and Rhythmics
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22. Motif Gestalts
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Part VI. Harmony

23. Critical Preliminaries
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24. Harmonic Topology
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25. Harmonic Semantics
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26. Cadence
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27. Modulation
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28. Applications
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Part VII. Counterpoint

29. Melodic Variation by Arrows
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30. Interval Dichotomies as an Expression of Contrast
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31. Modeling Counterpoint by Local Symmetries
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Avainsanat: Mathematics, Mathematics in Music, User Interfaces and Human Computer Interaction, Music, Computer Appl. in Arts and Humanities, Performing Arts, Creativity and Arts Education