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?

Well, I don't think we can run out of music.

Supposing X was the number of notes in a song.

Then you would find the number of possible songs as X!.

However, I think that since there is no set length to a song, X would actually be infinate so then you have (infinity)! which is infinate, so you'll never run out of music.