Week 4 (5 Feb 2003): Models for Tonality

1. Student summaries of the class.

2. The Circle of Fifths

   Sample References ...

   • http://www.basssick.com/xtra/fifths.htm
   • http://www.tonalityguide.com/definition.php?whichdefinition=defcircleof5ths

3. The Harmonic Network (a.k.a. tonnetz) : [ TXT ]
   
   
   • TONNETZ: A Graphical View of Harmony (reference found by Frances Kao)

4. The Spiral Array

   Reference:

   • "Modeling Tonality: Applications to Music Cognition." [ PDF ]
     by Elaine Chew. In Proceedings of the 23rd Annual Meeting of the Cognitive Science Society.

5. Music Examples
   
   
   Sibelius scores created by Yun-Ching from originals.
   You will need the Scorch plugin to view and *hear* the SIB files embedded in the HTML files.
   Or, you can download a demo version of Sibelius 2 to view / edit the SIB files.
   The JPG's will show on any browser (clearly, this option has no sound).
   
   
   1. "Minuet in G" by J.S. Bach [ SCORE: JPG | HTML (SIB) ]

   2. "Variations WoO78" by Ludwig van Beethoven [ SCORE: JPG | HTML (SIB) ]

6. MuSA.RT: a case study of MuSA Real-Time.

7. Assigned Readings (handed out in class)
   
   
   • Notes on "Quantifying tonal hierarchies and key distances."
     by Carol Krumhansl. In Cognitive Foundations of Musical Pitch, pp.16-49. Oxford University Press (1990).
   • Notes on "Review Lecture: The perception of music" by H.C. Longuett-Higgins.
     In Proceedings of the Royal Society, London, B. 205:307-322 (1979).

8. Related readings
   
   
   • "Mental Models and Musical Minds."
     by Robert J. Zatorre and Carol L. Krumhansl. Science Dec 13 2002: 2138-2139.
   • "Structural Representations of Musical Pitch."
     by Roger N. Shepard. In The Psychology of Music, pp.343-390. Academic Press (1982).

Posted 5 Feb 2003.