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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 Schoenberg and Per Nørgård. A lecture by Sarah Hart The transcript and downloadable versions of the lecture are available from the Gresham College website: http://www.gresham.ac.uk/lectures-and... Gresham College has offered free public lectures for over 400 years, thanks to the generosity of our supporters. There are currently over 2,500 lectures free to access. We believe that everyone should have the opportunity to learn from some of the greatest minds. To support Gresham's mission, please consider making a donation: https://gresham.ac.uk/support/