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Pattern and structure are essential to music, from the permutations in a Bach fugue, to the structure of a round. Uploaded 11-06-26This 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 OctoberThe transcript and downloadable versions of the lecture are available from the Gresham College website: https://www.gresham.ac.uk/lectures-and-events/maths-musicGresham 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.Website: http://www.gresham.ac.uk Twitter: http://twitter.com/GreshamCollege Facebook: https://www.facebook.com/greshamcollege Instagram: http://www.instagram.com/greshamcollege Support the show (https://www.gresham.ac.uk/get-involved/support-us/make-donation/one-donation) Learn more about your ad choices. Visit megaphone.fm/adchoices Learn more about your ad choices. Visit megaphone.fm/adchoices
