Music and Mathematics: Resources

Lecture notes and Books:

• Tom Fiore, Music and Mathematics, ---- lecture notes.
• John Baez, This Week's Finds in Mathematical Physics (Week 234), ---- lecture notes (and many references).
• Dmitri Tymoczko, The Generalized Tonnetz----.
• David Wright, Mathematics and Music----.

Books or papers by subscription:

• Dmitri Tymoczko, A geometry of music harmony and counterpoint in the extended common practice.
• Clifton Callender, Ian Quinn, Dmitri Tymoczko, Generalized Voice-Leading Spaces.
• Dmitri Tymoczko, The Geometry of Musical Chords.
• Richard Cohn, Introduction to Neo-Riemannian Theory: A Survey and a Historical Perspective.

Webpages:

• music theory, in nLab.
• Mathematics and Music, ---- AMS page.

Software:

• Moreno Andreatta, Corentin Guichaoua, The Tonnetz.
• Louis Bigo, HexaChord, AMS page.

Youtube channels:

• Gilles Baroin, MatheMusic4D, Scientific MatheMusical Animations in 2 and 4 Dimensions.

Videos (examples of music based on Mathematics):

• contemporary examples:
  • Konstanze Rietsch, Elaine Chew, Juliette Majid, Fano Rainbow.
  • Moreno Andreatta The Music of Maths (seven little songs based on mathematics).
  • Mathematical Music - Numberphile Interview with Alan Stewart (+links to his compositions in the description).
• Examples from classics:
  • Mozart Kanon "der Spiegel" , video by MARIANIMUSIK.
  • J.S.Bach- Crab Canon on a Möbius Strip, video by Jos Leys.
  • Music on a Clear Möbius Strip, Numberphile video on JS Bach - by Marcus Du Sautoy.

Some papers:

• Konstanze Rietsch, Generalisations of Euler's Tonnetz on triangulated surfaces..
• Athanase Papadopoulos, Mathematics and group theory in music..

More:

• Ernst Kurth, Grundlagen des linearen kontrapunkts; Bachs melodische polyphonie, see here for Russian translation