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 Schoenberg and Per Nørgård.
A lecture by Sarah Hart 13 October
The transcript and downloadable versions of the lecture are available from the Gresham College website: https://www.gresham.ac.uk/lectures-and-events/maths-music
Gresham College has been giving free public lectures since 1597. This tradition continues today with all of our five or so public lectures a week being made available for free download from our website. There are currently over 2,000 lectures free to access or download from the website.