Quote:

If you allowed only one octave of notes (ie C to C) plus a rest,
and limited the timing to 16th notes, then for just one measure,
there are 2,177,953,337,809,371,136 combinations.

Allow two octaves, and the number rises to 43,608,742,899,428,874,059,776



BUT.... the question was "Is music finite"? And though you can come up with combinations into the sextillions, you CAN come up with a number, which makes it finite.

While it is not LIKELY we would ever see every combination in one generation, that math shows that music IS finite.