Musicians keep creating music, however, so I'm clearly wrong about that hypothesis or else my deadline is in the distant future as the number of possible combinations is far larger than I can posit, especially given that a note on one instrument is not the same as a note on something else. The range of possible sounds is larger than the number of individual notes, similar to the number line dwarfing a counting of the integers.
As for games, Magic: The Gathering head designer Mark Rosewater often talks about that game's "design space", sometimes worrying that Wizards of the Coast will churn through too many of the game's possibilities too quickly and sometimes talking about how that design space continues to expand over the years as they find new angles of card play that they hadn't previously thought possible. The creation of one card by a designer will lead someone else to realize that they could create a cycle of five cards on that idea, after which someone else will propose a twist on it that leads to many other things.
Along the same lines, Yohan Goh's Fold-it has evolved from its debut in 2016, going from a real-time cloth-folding, pattern-matching game to 2017's Battlefold (previewed here), which used the same mechanism to fuel player vs. player combat.
Now in 2018, Bruno Cathala has worked with Goh and publisher Happy Baobab to release Magic Fold, which once again challenges you to fold a cloth in a particular way, but it's done in the service of a racing game, with the rewards for success being somewhat variable each round, giving you a bit more to think about while your focus should be on the folding. Magic Fold debuts at SPIEL '18, but you can get a taste of it now in the preview video below.