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Connectionist Representations of Tonal Music: Contents

Connectionist Representations of Tonal Music
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“Contents” in “Connectionist Representations of Tonal Music”

Contents

List of Figures

List of Tables

Acknowledgements

Overture: Alien Music

Chapter 1: Science, Music, and Cognitivism

1.1 Mechanical Philosophy, Mathematics, and Music

1.2 Mechanical Philosophy and Tuning

1.3 Psychophysics of Music

1.4 From Rationalism to Classical Cognitive Science

1.5 Musical Cognitivism

1.6 Summary

Chapter 2: Artificial Neural Networks and Music

2.1 Some Connectionist Basics

2.2 Romanticism and Connectionism

2.3 Against Connectionist Romanticism

2.4 The Value Unit Architecture

2.5 Summary and Implications

Chapter 3: The Scale Tonic Perceptron

3.1 Pitch-Class Representations of Scales

3.2 Identifying the Tonics of Musical Scales

3.3 Interpreting the Scale Tonic Perceptron

3.4 Summary and Implications

Chapter 4: The Scale Mode Network

4.1 The Multilayer Perceptron

4.2 Identifying Scale Mode

4.3 Interpreting the Scale Mode Network

4.4 Tritone Imbalance and Key Mode

4.5 Further Network Analysis

4.6 Summary and Implications

Chapter 5: Networks for Key-Finding

5.1 Key-Finding

5.2 Key-Finding with Multilayered Perceptrons

5.3 Interpreting the Network

5.4 Coarse Codes for Key-Finding

5.5 Key-Finding with Perceptrons

5.6 Network Interpretation

5.7 Summary and Implications

Chapter 6: Classifying Chords with Strange Circles

6.1 Four Types of Triads

6.2 Triad Classification Networks

6.3 Interval Cycles and Strange Circles

6.4 Added Note Tetrachords

6.5 Classifying Tetrachords

6.6 Interpreting the Tetrachord Network

6.7 Summary and Implications

Chapter 7: Classifying Extended Tetrachords

7.1 Extended Tetrachords

7.2 Classifying Extended Tetrachords

7.3 Interpreting the Extended Tetrachord Network

7.4 Bands and Coarse Coding

7.5 Summary and Implications

Chapter 8: Jazz Progression Networks

8.1 The ii-V-I Progression

8.2 The Importance of Encodings

8.3 Four Encodings of the ii-V-I Problem

8.4 Complexity, Encoding, and Training Time

8.5 Interpreting a Pitch-class Perceptron

8.6 The Coltrane Changes

8.7 Learning the Coltrane Changes

8.8 Interpreting a Coltrane Perceptron

8.9 Strange Circles and Coltrane Changes

8.10 Summary and Implications

Chapter 9: Connectionist Reflections

9.1 A Less Romantic Connectionism

9.2 Synthetic Psychology 0f Music

9.3 Musical Implications

9.4 Implications for Musical Cognition

9.5 Future Directions

References

Index

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