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?

There are an infinite amount of tones (a huge number of distinguishable tones that the human ear can perceive) plus music doesn't even have to be tonal anyway, an infinite amount of time signatures, an infinite amount of tempos, and an infinite amount of song structure. Not to mention instrumentation, and there's an infinite amount of combinations of that as well and an essentially infinite amount of tinkering like timbre, portamento/glissando, legato, crescendo/decrescendo.

So there's an infinite amount of possible music.