The Mathematics of Musical Composition
Gresham College Lectures
00:00
The Same With Inversion and Translation
There are just four types of things, and it can be shown that there's nothing elseo. These are all definitely al thethings you can make, starting with retrograde inversion and translation. And these forty eight things form the mathematical structure known as a group. They're all so nice because they can be defined in just four rules. This is what anistonarchist was talking about when he was saying, we understand music through group theory. So i want to tell you at least give you the definition of a group.
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