Rhythm—From Numbers to Patterns
Lecture no. 7 from the course: How Music and Mathematics Relate
Taught by Professor David Kung | 44 min | Categories: The Great Courses Plus Online Mathematics Courses
All compositions depend on rhythm and the way beats are grouped under what are called time signatures. Begin with a duo for clapping hands. Next, probe the effect produced by a distinctive change in the grouping of beats called a hemiola. Also investigate polyrhythms, the simultaneous juxtaposition of different rhythms. Listen to examples from composers including Handel, Tchaikovsky, and Chopin. Close with an unusual exercise in which you use musical notation to prove a conjecture about infinite sums.