# Music and Math

### How music and math work together

## "Bad Apple"

## Musical notes

## Pythagora's findings about notes and frequency

He found that notes had wavelengths. The higher the note the shorter the wavelength. He also found that he could put them to ratios then divide the ratios to find frequencies. A note that was one octave higher had a frequency twice as high as the same note in the lower octave, then triples, quadruples, quintuples, and so on as the octave is raised.

## The Fibonacci Sequence.

An octave is made up of 12 chromatic tones plus 1 while a scale is made of 8 notes. The 5th and 3rd notes create basic foundation of chords, which are based off of a whole tone that is 2 steps off the main tone, the first note of the scale. when the ratios made by the Fibonacci are divided, they get the frequencies that most of the notes and octaves are based off of. The Keyboard is the most clear demonstration of it.

## Digital music sales vs CD sales in 2012

CD sales was 4.6 million (4.6 x 10 to the 6th power)