Math for Music Games

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In game design you use math most often used when considering probability of events, usually when you want to make sure that there is no advantage for any of the players. Most of games are obviously mathematical in nature; they are usually also quite complex so analysis of the game gets very difficult very quickly.

You can use math in music in many ways. Even in music games some math already happens, like in Scratch Orchestra's CCQR133. Here I'd like to focus for now only on one aspect that is potentially fruitful, and that is…

Integer sequences

One of more famous sequences is a Fibonacci sequence that goes:

1, 1, 2, 3, 5, 8, 13, 21 …

It's usage in music is well documented.

Collatz sequence

Modulo operation


Mark for clarification

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