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MATH 7 - Math Fair 2022

MUSIC AND MATH

Look at the many areas of music that involve math, from string length ratios to scales and beats.

Books

Counterpoint

KEYWORDS:

line symmetry

rotational symmetry

dilation

counterpoint inversion

counterpoint retrograde

counterpoint augmentation

YouTube: Bach …. sheet music

Harmonics and Intervals

Search Tip: Search Destiny for websites (key terms: harmonics and overtones)

Four sections follow the introduction to this illustrated article: Physics, Harmonics and Color; The Harmonics Series; Brass Instruments; and Harmonics on Strings.
 
Harmonics are often described first by explaining the physics of the plucked string. The tone produced by the vibration of a violin string plucked in its center is called the fundamental tone of the string. The string vibrates as a whole when plucked at its center. Plucked elsewhere, the string can be made to vibrate in three or more separate parts. The tones produced by the vibration of the parts are called overtones or harmonics. The java applet at this site demonstrates both movement and sound for the first four notes of the harmonic series: whole, halves, thirds, and fourths.

String Length Ratio

KEYWORDS:

Consonance

Harmonics

String length ratio

Pythagoras and music

Octave

Jean Fourier

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