The Mathematics of Scales and Modes - Maths and Music

Explore the mathematical foundations of scales and modes in music through this comprehensive 29-minute video lecture. Delve into the 12-tone chromatic scale, clock arithmetic, and discrete calculus to gain a deeper understanding of general scales beyond major and minor. Learn about interval sequences, scale types, and the modes of a scale while discovering the natural connections between mathematics and music theory. Gain insights into the mathematical framework that underpins musical structures and enhance your understanding of both disciplines.

The 12 tone clock scale
Mathematical analysis of scales modes
What is a scale?
Interval sequence of a scale
When two scales are of the same type
Simple observation of a scale
Modes of a scale