Music and Mathematics
Musical Discovery explores the science and mathematics behind music.  
Introduction
  • It illustrates the sine wave of a sound wave with animated screens, in order to explain how a string or column of air vibrates to create musical sounds. It examines Mersennes Laws which determine the pitch of a vibrating string.
  • It explains Simple Harmonic Motion by means of an animated rotating radius subtended onto a Cartesian graph. 
  • It explains the natural harmonics and overtones of a note, with reference to the simple frequency ratios that make a sound or an interval pleasing to the ear. 
  • It illustrates musical applications for the polynomial curves (ellipses, parabolas and circles), for straight line and reciprocal equations, for logarithmic equations, as well as for the trigonometrical equations. 
  • It uses statistical bar charts to analyse the tonal and rhythmic characteristics of any piece of music in the Musical Discovery database.

 

Copyright © 2002-2007  Victor Gomersall.       All rights reserved

 

Overview and Upgrade Policy
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Technical Support
Music Theory (Learning Guide)
Music Exam Bodies
Pitch and Notation
Keys and Scales
Intervals
Tempo
Note Durations and Rhythm
Harmony
Melody and Transposition
Form
Music and Mathematics
Glossary of Terms
Listening to Music
MIDI System
Themes
Full Works
Extracts
Composing Tools
Fragments and Tunes
Computer tunes
Writing on the staff
Accompaniment generator
Composing Board
Tutorials
Musicology
Composers
Periods and styles
Musical Instruments
Copyright © 2002-2007  Victor Gomersall.       All rights reserved