Math+Vibrations=Music.

Math in music? Who would have guessed? Math has always been regarded as an uninteresting subject containing only numbers and equations. Music, at the same time, is seen only as a simple combination of sounds thrown together. Music is a combination of sounds but math is what takes those uncomplicated sounds and structures them into music. Rules must be followed to create all the different types of music. All of these rules are founded on …

…added seventh. From the notes, music's smallest ingredient, to the complicated structure of chords fragments of math can be detected in music. The simple matter of the duration of a note is math and so is the equation of a metronome. "Music is an expression of universal harmony, which is also realized in mathematics and astronomy," Pythagoras once said. The evidence and examples of this paper support his comment completely. Overall, music's foundation is mathematics.