Fibonacci Numbers and Phi In Music

What is the relation?

PianoFibonacci is very clear on the piano.

Example of Fibonacci in Music

In this picture we can see that a keyboard works the same way as Fibonacci does.

The chromatic scale is divided into 12 half tones. The thirteenth is the octave.

Perfect Major ChordA perfect major chord includes the 1st, 5th, 8th and 13th chords. An example is C,E,G,C.

Fibonacci on Piano

Here you can see that the most important chords are all Fibonacci numbers.

Chromatic Scale and Diatonic Scale

The red box shows the Chromatic Scale. The blue box shows the diatonic scale.

Relationship between Chromatic Scale and

Diatonic Scale1.6 is the golden number (sequence of 1, 3, 5, 8, 13).The perfect chord responds to this

sequence.

Putting the Chromatic and Diatonic Scale together

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=

ConnectionThis shows the C chord (chromatic scale) and the Tonic, Third and Fifth (diatonic scale). This works according to real life as well. It’s the same interval between each major chord.

Applications in Real songs – Just Give Me A Reason

Vocals start on the fifth measure, Fibonacci number.

Pre-chorus starts on measure 13, another Fibonacci number.

Chorus starts on measure 21, another Fibonacci Number

How is Phi related to this song?

Take the time of the song:244seconds

Multiply this by .618 (small phi)Now you divide by 60.This way you will get the approximate climax of the song:Roughly 2.5 mins.

Working out:

Bridge

Bridge starts on measure 55, another Fibonacci Number.

Other songs:

Somebody to love – Queen:297(seconds)x.618=148.32/60=2.472min

Call me Maybe – Carly Rae Jepsen:194(seconds)x.618=199.892/60=1.9982min

Hey Ho – Lumineers:159(seconds)x.618=98.262/60=1.6377min

Our songClick here

Source

• http://www.youtube.com/watch?v=uv7rpcU29Nk

• http://www.youtube.com/watch?v=pOwMDO0-zBw