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8

Transformations and Symmetry

Lecture no. 8 from the course: How Music and Mathematics Relate

Transformations and Symmetry

Taught by Professor David Kung | 50 min | Categories: The Great Courses Plus Online Mathematics Courses

Bach and other composers played with the structure of music in ways similar to what would later be called mathematical group theory. Explore techniques for transforming a melody by inversion, reversal, transposition, augmentation, and diminution. End with a table canon credited to Mozart, in which the sheet music is read by one musician right-side up and by the other upside down. Professor Kung is joined by a special guest for this duet.

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January 5, 2017

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