In today's world, music is one of the most common forms of artistic expression, and it is a well loved hobby of many. Harmony is a key component to good music arrangments, whether instrumentally or vocally. But did you know that musical harmonies and mathematics go hand in hand? For most, math and music seem like complete opposites. In this project, I will seek to make sense of the way mathematics explains harmonies by looking at ratios and trigonometric functions.