I was reading a post that Jacqueline made earlier about how prime numbers deal with music. She didn't give much information as it was only included in a quote that she had put up on there. This caught my interest, not really because of how much I like music (I do like music though), but because I took non-Euclidean last semester and we had to do projects at the end. A lot of people did there projects on how geometry is interpreted in music. They were really interesting but you don't really see as much geometry in music as you do numbers. I first thought that it dealt more with primes but after some research, music doesn't depend on primes as much as had first personally thought. Music depends more on numbers in general. Seeing that this is a Number Theory class, this becomes so much more relevant. It may seem obvious to some, but each note is 1/5 of a pitch higher then the previous one. Also there are many other things that become obvious such as the fact that you need to count in order to know how to figure time. I like a quote from Gottfried Leibniz stating "Music is the pleasure the human soul experiences from counting without being aware that it is counting." It's kind of an indirect way of stating that we already know that music is contained in music, it just seems so obvious that none of us have really thought of it that way before. This seems pretty obvious since we are all Number Theory students that watched Andy show us that 3 cannot divide 5. It has seemed so obvious to us for so long and it seems trivial, but it is important. I've included a couple links down at the bottom so that you have some resources and can explore this further. It is actually much more interesting then I originally thought.
http://members.cox.net/mathmistakes/music.htm
http://plus.maths.org/issue28/features/sautoy/
