Music and Math

How music and math work together

"Bad Apple"

The song is what I am using for my first question. it has a 4/4 time. meaning it is counted 1-2-3-4. It also has 123 measures. That means that you count 1-2-3-4 123 times! The rhythm is comprised mostly of quarter and eighth notes. Luckily it doesn't go too fast. The tempo (speed) is moderate.
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Musical notes

Each note is counted a different way. First their are whole note and the whole rest. they take up the whole measure and they count for 4 beats in 4/4 time. Next are the half note and rest. they are held for 2 beats and take up half the measure. After them are the quarter note and rest. they both count for one beat. Afterwards are the eighth note and rest. they only count for half of one beat and are counted 1-te-2-te-3-te-4-te. The sixteenth notes are 1/4 of a beat and are counted 1-ti-te-ta. That's as far as I go with musical notes. The 32nd and 64th aren't very common and are just there.
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Pythagora's findings about notes and frequency

Pythagora, the great mathmatician, found that the higher the vibration, the higher the note, and the higher the note. and the higher the note the higher the 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.

The Fibonacci Sequence is found in the scale of music notes. It also helps determine the frequency of a note using ratios.

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.

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Digital music sales vs CD sales in 2012

Digital sales was 1.65 billion (1.65 X 10 to the 9th power)

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