Symmetry and Group Theory in Bach’s Canons (Brianna Donaldson and Dave Kung) - MAA MathFest 2023

Thursday, August 3, 2023
MAA MathFest 2023

MAA Invited Paper Session and Jam Session (aligned with an MAA Invited Address)
Applications of Mathematics to Music

Mathematics and music have a long-standing affinity for each other. In this session, our speakers will talk about many topics, including vowel production and a question at the intersection of mathematics, music, physics, communication, and perception; the application of natural Pythagorean intervals to the closure for scales generated by three or more intervals; the circle of fifths and the twelve-tone scale on a torus; the Piano theorem; graphs for music events, including modulation; and a musical pythagorean theorem that Pythagoras missed.

Organizer:
Jason Brown, Dalhousie University
Ezra (Bud) Brown, Virginia Tech

Symmetry and Group Theory in Bach’s Canons
Brianna Donaldson, American Institute of Mathematics
David Kung, Charles A. Dana Center, The University of Texas at Austin

Mathematics and music come from different spheres (arts and sciences), yet they share an amazing array of commonalities. Group theory gives modern language to the symmetrical structures beneath the surface of Bach's magnificent canons and fugues. These structures will be described mathematically and demonstrated on violin and piano.

Every summer, MAA MathFest presents the latest in mathematical research and education to diverse audiences across the nation. As the largest community of mathematicians, students, and enthusiasts, MAA is proud to bring an interactive, accessible, and informative experience to you this year.