Taught by K.A. Morris. This course explores the mathematical structures underlying music, from the physics of sound to the design of tuning systems. Topics include harmonic motion and the wave equation, Fourier series and spectral analysis of musical tones, the mathematics of intervals and consonance, tuning systems (Pythagorean, just intonation, equal temperament), vibrating strings and drums, resonance, and digital signal processing. The course bridges differential equations, linear algebra, and number theory with the science of musical sound.

I also created a companion website at amath390.sibeliusp.com for my ongoing video series on Mathematics and Music, published on XHS (小红书). The site provides a detailed mathematical guide for each episode — including rigorous definitions, full theorem proofs, worked examples, and references — covering topics from Neo-Riemannian theory and voice-leading geometry to Fourier analysis, group actions on musical structures, and tuning system mathematics.