Drexel dragonThe Math Forum

The Math Forum Internet Mathematics Library

Circles of Dissonance

Library Home || Full Table of Contents || Library Help

Visit this site: http://www.maa.org/mathland/mathtrek_11_24.html

Author:Ivars Peterson (MathTrek)
Description: Much of today's music rests upon ancient tradition going back thousands of years to the time of the Greek mathematician and mystic Pythagoras. The Pythagoreans observed that tones an octave apart are pleasing to the ear. In modern terms, one can say that consonance arises when the frequency of one tone is precisely twice the frequency of the other. Hence, a ratio of 2:1 produces harmonious tones. Similarly, musical intervals involving tones in the ratios of 3:2 (a fifth) and 4:3 (a fourth) are also pleasing...

Levels: Middle School (6-8), High School (9-12), College
Languages: English
Resource Types: Articles
Math Topics: Ratio/Proportion, History and Biography, Graphing of Data, Music

[Privacy Policy] [Terms of Use]

Home || The Math Library || Quick Reference || Search || Help

© 1994- The Math Forum at NCTM. All rights reserved.