The Mathematics of Musical Composition

Pattern and structure are essential to music, from the permutations in a Bach fugue, to the structure of a round. This lecture will explore the mathematics of musical symmetries, such as the "translational symmetry" of the transposition of keys, and the "rotational symmetry" of the duet "Der Spiegel", attributed to Mozart. It will go on to explore the last century's experimentation with the use of mathematical forms to produce intriguing effects, including in the works of Arnold Schoenber...