fibonacci and phi in maths ppt
TRANSCRIPT
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
+
=
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