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The Mathematics of Musical Composition

Gresham College Lectures

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Musicians and Composers - Everything Is in Bag

Music is steeped in the problem of symmetry. And it's made accessible by the theory of groups. We can take a piece of music and written on a score. The example here is a deshbege the mirror written, well, attributed to mozart. If you want a more recent example, you can listen to ludus tonalis by hindermit. But iwas listening to this the other night, and its good listen. What i want to talk about is some of the mathematics behind it. So we've got these ideas of inversion and translation and so on. I'me going to gie us some ground rules. To focus on the interval preserving transformations

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