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The Mathematics of Musical Composition

Gresham College Lectures

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How Many Tone Rows Are There?

Schenberg explored this idea, and i've got an example here from his suite for piano. It was the first work composed entirely with tone rose. There are 12 different pitch classes, but you either can have a major scale or a minor scale in each of those keys. So 24 possible keasingnaturs, you know, for barker to use in his well tempered clavier. And lots of composers, do tha bach himself had a few barks in his work? That's fine.

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