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Music Measure Theory: A Mathematical Analysis of Musical Dissonance and Consonance

CSEF · 2018 Mathematical Sciences

Rami Ratl Mrad, Carey Yoon · King (Martin Luther, Jr.) High School, Riverside, Riverside County

Overview

Objectives/Goals The objective of our project is to find the accuracy and reliability of the Music Measure Theory. Methods/Materials Upright Piano, Computer w/ internet access, Sheet music (Johann Sebastian Bach's Prelude in C Major BWV 846), Calculator, Paper and pencil: Found all frequencies of all keys on piano using computer, used intervals from the sheet music to generate ratios and graphs, calculated accuracy. Results Consonant-Consonant: 100% Accuracy Consonant-Neutral: 100% Accuracy Consonance-Dissonance: 100% Accuracy Dissonance-Neutrality: 50% Accuracy Conclusions/Discussion The Music Measure Theory makes mathematical sense and is accurate, so now people know why sounds sound consonant or dissonant together. In the past, there was no solid proof of the theory. People can use this theory to expand their current knowledge of sound by building off of it.

Summary statement

We mathematically analyzed sound frequencies with the Music Measure Theory in order to prove or disprove its accuracy.

Help received

None. We designed and performed the experiments ourselves.

Competition history

  • CSEF 2018 Mathematical Sciences · Entry S1514

Resources

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