## Fibonacci, Phi, and Music

Musical scales are based off of Fibonacci numbers. There are 13 notes in the span of every octave, and 8 notes in every scale. The chords are also based off of Fibonacci, with tonic chords consisting of the tonic, 3rd and 5th note of the scale. There is also 2 whole steps between each of these notes.

The construction of the piano also includes Fibonacci, with 8 white keys and 5 black keys in each octave span. The black keys are also grouped in 2's and 3's.

Another interesting demonstration of the presence of the ratio in music is that the 5th note of the scale passage is the 8th note of the 13 in the octave.

Musical pieces tend to reach their climax at roughly 61.8% through the song. Remember, phi is 1.618...

Also, the violin is designed in the Golden Ratio, with it's proportions equal to phi.

The construction of the piano also includes Fibonacci, with 8 white keys and 5 black keys in each octave span. The black keys are also grouped in 2's and 3's.

Another interesting demonstration of the presence of the ratio in music is that the 5th note of the scale passage is the 8th note of the 13 in the octave.

Musical pieces tend to reach their climax at roughly 61.8% through the song. Remember, phi is 1.618...

Also, the violin is designed in the Golden Ratio, with it's proportions equal to phi.