C O U R S E   M O D U L E S
1.	Introduction
2.	The Mathematics of Musical Sound
3.	Tuning Theory
4.	Mathematical Music Theory
	Composing with Numbers
reginaldbain.com

Course Documents

1. Course Flyer (pdf)
2. Syllabus (pdf)
3. Daily Schedule (pdf)
4. Listen
5. Of Interest...

Reference

1. Grove/Oxford Dictionaries
2. WorldCat | USCAN | JSTOR
3. Areas of Study
4. Online Historical Texts

Electronic Resources

1. Introduction
2. The Mathematics of Musical Sound
3. Tuning Theory
4. Mathematical Music Theory
   • Pitch Space & Symmetry
   • Geometrical Music Theory
   • Group-Theoretical Models
   • Transformational Analysis
   • Rhythm Analysis
   • Scale Theory
   • See also: Terms and Concepts | Journals | People | Courses
5. Composing with Numbers

Required Texts

Fauvel, John, Raymond Flood, and Robin J. Wilson, ed. 2006. Music and Mathematics: From Pythagoras to Fractals. New York: Oxford University Press. {GB}

Benson, David. 2008. Music: A Mathematical Offering. Cambridge: Cambridge University Press. {Website}

Recommended Texts

Douthett, Jack M. Martha M. Hyde, Charles J. Smith, and John Clough, 2008. Music Theory and Mathematics: Chords, Collections, and Transformations. Rochester, NY: University of Rochester Press. {GB}

Jedrzejewski, F. 2006. Mathematical Theory of Music. Paris: Ircam-Centre Pompidou.

Lewin, D. 2007. Generalized Musical Intervals and Transformations. New York: Oxford University Press. {GB}

Loy, D. G. 2006. Musimathics: The Mathematical Foundations of Music. Cambridge, Mass: MIT Press. {Website}

Rahn, J. 1980. Basic Atonal Theory. New York: Longman.

Mazzola, Guerino. 2002. The Topos of Music: Geometric Logic of Concepts, Theory, and Performance. Berlin: Birkhäuser. {GB}

Morris, R. 2001. Class Notes for Advanced Atonal Music Theory. Lebanon, NH: Frog Peak Music.

Tymoczko, D. 2011. A Geometry of Music: Harmony and Counterpoint in the Extended Common Practice. New York: Oxford University Press. {GB}

Bibliography

Reginald Bain, MUSC 726B Music and Mathematics

Huygens-Fokker Foundation, Tuning and Temperament

GB - Google Books

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