Perhaps this is the most amazing section that we can find and I'll try to explain the relationship of calculus with the music, so the first thing that you do not have a great relationship.
Well, it is true that great mathematicians have used music in some of his works, they can stand out from Pythagoras who conducted a study on the nature of the sounds. He experimented with strings of different lengths discovering pleasing sounds for the ear and creating a scale, the diatonic scale.
Also some well known musicians used mathematical elements in his works relating some of his beats with the golden ratio, among them can excel Mozart and Bach.
Later Joseph Schillinguer detailed a composition system based on mathematical principles, mainly the geometry.
