Thursday, October 15, 2020
Math Seminar Series
(Conferences / Seminars / Lectures)
Student GAUSS Seminar more information...
Joshua Ruiter from Michigan State University will be speaking.
The title is "An algebraic approach to musical scales."
Contact Keshav Sutrave (firstname.lastname@example.org) for more information.
This talk is motivated by applications to music theory, especially the construction of musical scales. We'll describe how to think of "good" scales as a subgroups of S^1, then dip our toes into the theory of continued fractions to understand why some "good" scales are "better" than others. In particular, we can get a satisfying mathematical reason for the ubiquity of 12-tone equal temperament scale system.