In college I studied mathematics and music. Outside of college, if I mentioned both my studies, I often heard this: "Oh, they go hand in hand." I usually smiled and said "yeah" and let it pass. Sometimes, though, I am in the mood for further discourse and explain how, beyond elementary counting, math and music have little in common. Of these few times I bothered, the other folks corrected me and explained how music has structure and structure, of course, is math. I smile and yes, musical phrases often come in similar-length groups, but that does not correlate to collegiate math, and did they really just lecture me on two fields they are not disciplined in?

They are wrong. No matter the pride or alcohol consumption or weird mental alpha-beast desire, they were and still are are wrong. Yes, there are numbers in music, and yes I do, on occasion, count a rhythm, but that is not math, and last time I checked, to play my senior Liszt repertoire, I did not have to prove Cauchy's Group Theorem, which states that, if I have a group, G, of finite order with identityHere's the proof.)

They are wrong. No matter the pride or alcohol consumption or weird mental alpha-beast desire, they were and still are are wrong. Yes, there are numbers in music, and yes I do, on occasion, count a rhythm, but that is not math, and last time I checked, to play my senior Liszt repertoire, I did not have to prove Cauchy's Group Theorem, which states that, if I have a group, G, of finite order with identity

*e*, and prime*p*divides the order of G, then G has an element of order*p*. (I apparently learned this once, then forgot it.