How many songs are there?

"Assuming the world doesn't end, will there come a day when all the music it's possible to write has been written? It's finite isn't it?" - Claire W, via Twitter.

Excellent question. Yes, there are a finite number of songs in the universe - with the one condition that no song can last forever. Let's make it more restrictive and say no song can last for more than 5 minutes (though we could choose 20 or 30 mins and come to the same conclusions.)

Given that, though, it turns out it might not make very much difference that its a finite number...

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