Connectionist Representations of Tonal Music

Cover -- Half Title -- Title -- Copyright -- 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