The Topos of Music IV: Roots

Part XX. Appendix: Sound

1. Common Parameter Spaces
Guerino Mazzola

2. Auditory Physiology and Psychology
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Part XXI. Appendix: Mathematical Basics

3. Sets, Relations, Monoids, Groups
Guerino Mazzola

4. Rings and Algebras
Guerino Mazzola

5. Modules, Linear, and Affine Transformations
Guerino Mazzola

6. Algebraic Geometry
Guerino Mazzola

7. Categories, Topoi, and Logic
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8. Complements on General and Algebraic Topology
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9. Complements on Calculus
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10. More Complements on Mathematics
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Part XXII. Appendix: Complements in Physics

11. Complements on Physics
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Part XXIII. Appendix: Tables

12. Euler’s Gradus Function
Guerino Mazzola

13. Just and Well-Tempered Tuning
Guerino Mazzola

14. Chord and Third Chain Classes
Guerino Mazzola

15. Two, Three, and Four Tone Motif Classes
Guerino Mazzola

16. Well-Tempered and Just Modulation Steps
Guerino Mazzola

17. Counterpoint Steps
Guerino Mazzola

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