Abstract
For centuries, mathematicians have been trying to analyze and model music. Music can be described and analyzed through quite a few equations which are based on trigonometric functions, derivatives and integration. A wave equation can be used to represent harmonic notes such as a vibrating string from a guitar. A single tone can be described by a sine function, while multiple notes played together can be described by the sum of each single tone. Processing a piece of music as a signal, the theory of Fourier Transform can identify each note and its amplitude or volume.
Faculty Sponsors
Dr. Abdelkrim Bourouihiya
Project Type
Event
Location
Alvin Sherman Library
Start Date
4-13-2012 1:00 PM
End Date
4-13-2012 5:30 PM
How Math and Music Jams Together
Alvin Sherman Library
For centuries, mathematicians have been trying to analyze and model music. Music can be described and analyzed through quite a few equations which are based on trigonometric functions, derivatives and integration. A wave equation can be used to represent harmonic notes such as a vibrating string from a guitar. A single tone can be described by a sine function, while multiple notes played together can be described by the sum of each single tone. Processing a piece of music as a signal, the theory of Fourier Transform can identify each note and its amplitude or volume.
