The Mathematics of Musical Composition
Gresham College Lectures
00:00
The Clock Group
The music group itself has echoes elsewhere, in geometry and in other places. And when i'm talking about echoes, what i mean is there are some sub sets of this group that themselves form groups. So we can think of this little subset of the music group as the mattress turning group because these are the ways in which you can turn your mattress. The next one is to do with geometry. If you take the translations and the inver ons together, that's 24 elements. They have the same relationship with each other as the symmetries of a regular, dodecical, 12 sided polygon.And then the final thing, this poor woman is doing what we're supposed to do
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