Alot of people might think 'how does music and mathematics connect? What are similar between numbers and tones? Well, there are a lot of similarities between them.

"There is geometry in the humming of the strings, there is music in the spacing of the spheres." – Pythagoras

It was Pythagoras who realized that different sounds can be made with different weights and vibrations.  This led to his discovery that the pitch of a vibrating string is proportional to and can be controlled by its length.  Strings that are halved in length are one octave higher than the original.  In essence, the shorter the string, the higher the pitch.  He also realized that notes of certain frequencies sound best with multiple frequencies of that note.  For example, a note of 220Hz sounds best with notes of 440Hz, 660Hz, and so on. The closest tie between music and math is patterns.  Musical pieces often have repeating choruses or bars, similar to patterns.  In mathematics, we look for patterns to explain and predict the unknown.  Music uses similar strategies.  When looking at a musical piece, musicians look for notes they recognize to find notes that are rare (high or low) and less familiar.  In this way, notes relate to each other.  Relationships are fundamental to mathematics and create an interesting link between music and math.Counting, rhythm, scales, intervals, patterns, symbols, harmonies,time signatures, overtones, tone, pitch. The notations of composers and sounds made by musicians are connected to mathematics. The next time you hear or play classical, rock, folk, religious, ceremonial, jazz, opera, pop, or contemporary types of music, think of what mathematics and music have in common and how mathematics is used to create the music you enjoy.