Transformations are often used in Western music to construct different versions of a particular musical subject for inclusion in a composition. Composers transform temporal, rhythmic, tonal, and textural elements.  On printed scores, these transformations have an obvious geometric character. This lecture is about temporal and tonal transformations of several types.

Here are six corresponding musical and geometrical terms:

Turn on overhead to show this and keep it up.

Review these concepts on the board, filling in blank spots.

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