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  • Project HomeConnectionist Representations of Tonal Music
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table of contents
  1. Cover
  2. List of Figures
  3. List of Tables
  4. Acknowledgements
  5. Overture: Alien Music
  6. Chapter 1: Science, Music, and Cognitivism
    1. 1.1 Mechanical Philosophy, Mathematics, and Music
    2. 1.2 Mechanical Philosophy and Tuning
    3. 1.3 Psychophysics of Music
    4. 1.4 From Rationalism to Classical Cognitive Science
    5. 1.5 Musical Cognitivism
    6. 1.6 Summary
  7. Chapter 2: Artificial Neural Networks and Music
    1. 2.1 Some Connectionist Basics
    2. 2.2 Romanticism and Connectionism
    3. 2.3 Against Connectionist Romanticism
    4. 2.4 The Value Unit Architecture
    5. 2.5 Summary and Implications
  8. Chapter 3: The Scale Tonic Perceptron
    1. 3.1 Pitch-Class Representations of Scales
    2. 3.2 Identifying the Tonics of Musical Scales
    3. 3.3 Interpreting the Scale Tonic Perceptron
    4. 3.4 Summary and Implications
  9. Chapter 4: The Scale Mode Network
    1. 4.1 The Multilayer Perceptron
    2. 4.2 Identifying Scale Mode
    3. 4.3 Interpreting the Scale Mode Network
    4. 4.4 Tritone Imbalance and Key Mode
    5. 4.5 Further Network Analysis
    6. 4.6 Summary and Implications
  10. Chapter 5: Networks for Key-Finding
    1. 5.1 Key-Finding
    2. 5.2 Key-Finding with Multilayered Perceptrons
    3. 5.3 Interpreting the Network
    4. 5.4 Coarse Codes for Key-Finding
    5. 5.5 Key-Finding with Perceptrons
    6. 5.6 Network Interpretation
    7. 5.7 Summary and Implications
  11. Chapter 6: Classifying Chords with Strange Circles
    1. 6.1 Four Types of Triads
    2. 6.2 Triad Classification Networks
    3. 6.3 Interval Cycles and Strange Circles
    4. 6.4 Added Note Tetrachords
    5. 6.5 Classifying Tetrachords
    6. 6.6 Interpreting the Tetrachord Network
    7. 6.7 Summary and Implications
  12. Chapter 7: Classifying Extended Tetrachords
    1. 7.1 Extended Tetrachords
    2. 7.2 Classifying Extended Tetrachords
    3. 7.3 Interpreting the Extended Tetrachord Network
    4. 7.4 Bands and Coarse Coding
    5. 7.5 Summary and Implications
  13. Chapter 8: Jazz Progression Networks
    1. 8.1 The ii-V-I Progression
    2. 8.2 The Importance of Encodings
    3. 8.3 Four Encodings of the ii-V-I Problem
    4. 8.4 Complexity, Encoding, and Training Time
    5. 8.5 Interpreting a Pitch-class Perceptron
    6. 8.6 The Coltrane Changes
    7. 8.7 Learning the Coltrane Changes
    8. 8.8 Interpreting a Coltrane Perceptron
    9. 8.9 Strange Circles and Coltrane Changes
    10. 8.10 Summary and Implications
  14. Chapter 9: Connectionist Reflections
    1. 9.1 A Less Romantic Connectionism
    2. 9.2 Synthetic Psychology 0f Music
    3. 9.3 Musical Implications
    4. 9.4 Implications for Musical Cognition
    5. 9.5 Future Directions
  15. References
  16. Index

Connectionist Representations of Tonal Music

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