I was delighted to come across this video explanation of the way overtones work on Mind the Gap.
Isn't it a treat to learn that the brilliant Vi Hart is a violist (though she doesn't admit to it in this interview, and she does treat her viola oddly by writing on it) and a composer? And look at the way she uses a music box to demonstrate the way a mobius strip works as a conduit for musical possibilities. Somehow, as a bona fide mathophobe, I feel optimistic living in a world with young people like Vi Hart opening up possibilities of how to think about things differently. Here's her YouTube channel, where I plan to spend a lot of time.
[Clearly, the apple hasn't fallen very far from the tree.]