Limit to music

A friend said to me is there a limit to the amount of music that can be made? Well fundamentally it depends on what he means by music because you could change one note and it'd be different. So lets concentrate on melodies. Is there a finite number of melodies?

>>14
infinite amount of tones
Wrong.

an infinite amount of time signatures
Almost certainly wrong.

an infinite amount of tempos
Wrong.

an infinite amount of song structure
Highly debatable.

instrumentation, and there's an infinite amount of combinations of that as well
Wrong, and beside the point even if it weren't.

an essentially infinite amount of tinkering like timbre, portamento/glissando, legato, crescendo/decrescendo.
The ``essentially'' makes this a worthless statement.

You need to stop abusing the word ``infinite''.

The number of melodies is infinite but countable, because they can be arbitrarily long. The amount of music that can actually be made is very finite.