Explore the fascinating intersection of mathematics and music in this 32-minute video lecture. Delve into the 12-tone chromatic scale and its connection to clock geometry and modular arithmetic. Learn about a natural naming system for tones, common musical intervals, and their mathematical representations. Discover how famous mathematicians like Descartes, d'Alembert, and Euler contributed to music theory. Gain insights into mod 12 arithmetic and its applications in musical notation. Understand the potential for engaging students in mathematics through their interest in music, and explore the possibilities for rethinking basic music theory structures.