Analyzing Music with Discrete Mathematics

his project intends to find a correlation between the songs "Moonlight Sonata" and "Because" with the use of discrete mathematics. With music theory, the field of using math to analyze music, lacking exploration, our primary goal was to draw conclusions from what was found: analyze the data collected to better understand the behind the scenes mathematics in music. This was done by translating the sheet music into numbers using modular arithmetic (Mod 12) system; then, the numbers collected were classified into pitch class sets, normal form, and prime form. We also used matrices to test for the property of invariance. After thorough examination, it was clear that the songs were very similar in nature, which fundamentally demonstrates that a mathematical interpretation can be used to prove what is heard.