CHIME NOISES INTENSIFY
I saw that video too! Vsauce rocks!
Anyway, I don't think we will run out of music. There are so many possible different melodies that it seems unlikely that's we'd end up just repeating ourselves over and over. Besides that, though, music evolves just like any art. The music we listen to now is vastly different to 100, 50, 25... even just 10 years ago back in the early 2000s! If we do start repeating melodies, they'll be in such a different style of music they'd probably be unrecognizable to someone who remembered the song they were taking their melody from. So I guess that we may not recognize future music as music, but I doubt Mozart would think heavy metal or rap (or even pop, I'm looking at you Ke$ha) as anything other than noise.