Music 575, Seminar in Theory
Network Models of Music
John Rahn
Winter 1992, Tuesdays 3:30-5:20, Music room 27

Syllabus

Readings are on reserve in the Music Library; see the Bibliography for full references. 

Week 1. Introduction and overview. Why model?  -- kinds of models and what they have been created and used for (refer forward to Rahn ªAspectsº).  A little graph theory: graphs, relations, nets (refer forward to Haralick ªLanguage of Math,º Gordon Introduction to Math. Structures). A little about group theory (refer forward to Lewin Generalized ... Ch 1).

Weeks 2,3,4: Lewin graphs.

Week 2: Readings: Rahn ªAspects,"  Haralick ªLanguage of Math,º  Lewin ªTransformational Techniques,º Lewin Generalized ... Ch. 1.

Week 3. Readings:Lewin Generalized ... Ch 9 and 10 (Ch 7 and 8 optional).

Week 4. Readings: Lewin ªKlumpenhouwer Networks," Klumpenhouwer ªAspects of Row Structure and Harmony." 

Weeks 5 and 6: Petri Nets, Augmented Transition Nets, relational nets.

Week 5. Readings: Pope ªMusic Notations,º Cope ªAn Expert Systemº.

Week 6. Readings: Haralick ªConsistent Labeling Approach.º Discussion in class with Professor Haralick.

Weeks 7 and 8: Neural nets and parallel distributed processing.

Week 7: Readings, background: Rumelhart and McClelland 1987, vol. 1,  Ch 1, 2, and 3 (Ch 7 and 8 recommended for those with some math background); Dolson ªMachine Tongues XIIº 
Time and Nets: Desain and Honing ªQuantization,º Duisberg ªA Temporal Neural Net,º Hopfield paper. Discussion in class with Dr. Duisberg.

 Week 8. Readings, background: Loy ªConnectionism and Musiconomy.º
Composition: Todd  ªA Connectionist Approach,º Lewis, J. P. ªCreation by Refinement.º
Analysis: Gjerdingen ªUsing Connectionist Models.º

Weeks 9 and 10: Development in class of new ideas. Presentations and discussion.
Final papers are due Monday March 16, 12:30 PM. The class grade will be based half on class participation, half on the paper.