The Math of Music: An Algorithm of Allegros

Abstract

Math and music, two things that to most people, seem entirely different. However, they are more alike in countless ways than they are different. As early as the Greek philosophers, there have been brilliant people who have dedicated their time to creating a link between math and music. It is in this attitude, that I attempt to bridge the relationship between math and music.

At its core, music is created entirely of mathematics. The humming of strings and the strike of a piano key may indeed carry out sound, but it also carries a plethora of mathematical equations and theorems to support it. Whether it be a relation of Hertz, or even a derivative of a famous mathematical equation like Pythagorean’s Theorem, this paper promotes the ideal that mathematics can be used to describe every type of music.

Whether you prefer rock to classical, rap to pop, all music is broken down into notes and chords. Sound is created using electronic equipment that has been perfected over centuries. Instruments have been refined to make the most brilliant sound that their materials allow, all of this and more is in part due to the brilliant relationship that music and mathematics share.