Well mathematically speaking you can only have a finite amount of different music (if you set a finite time limit and merge extremely similar sounds into one).
But the number of combinations is so big that you can’t really grasp it.
My goto example here is a deck of 52 cards. It can be sorted in more ways than there are atoms in the observable universe.
Or for music lets take a very simplified song of 3 minutes with just 5 different notes playing, one note each second. That already makes 5^180 different songs. Thats a number with 125 digits. More than there are atoms in the universe if every atom in our universe contained another universe.
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