ABSTRACT

At first glance, mathematics and music seem to be from separate worlds-one from science, one from art. But in fact, the connections between the two go back thousands of years, such as Pythagoras's ideas about how to quantify changes of pitch for musical tones (musical intervals). Mathematics and Music: Composition, Perception, and Performance explo

chapter 1|32 pages

Pitch, Frequency, and Musical Scales

chapter 2|18 pages

Basic Musical Notation

chapter 3|42 pages

Some Music Theory

chapter 4|38 pages

Spectrograms and Musical Tones

chapter 5|36 pages

Spectrograms and Music

chapter 6|50 pages

Analyzing Pitch and Rhythm

chapter 7|24 pages

A Geometry of Harmony

chapter 8|16 pages

Audio Synthesis in Music