Friday, July 02, 2010

Plato Code: Just Intonation and Fibonacci Code?



Just Intonation - Wikipedia

Just Intonation Explained

I am neither a musicologist nor mathematician, but I think I see something in the number sequence in Dr. Jay Kennedy's Plato Code: just intonation, or harmonic cycle. So, the numbers are: 2, 3, 4, 6, 8, 9

A brief presentation with pictures and graphics: 'A Visual Introduction to the Musical Structure of Plato's Symposium' (pdf) (from New Research on Plato and Pythagoras by Jay Kennedy, University of Manchester

Pythagorean tuning says the only consonants (harmonious notes, or not dissonant) are fifths and octaves. It wasn't till 15th century species counterpoint that we have the idea that 5:4 (major third) isn't bad. I was looking at the diagram I found on Wiki which I posted above. 2:1 is an octave, 3:2 a perfect fifth, 4:3 a perfect fourth (flipped perfect fifth), and 5:4 is a major third. To continue with this theory, 6:5 is minor third, and 9:8 a 9th, or major second. These numbers, when looked at from the standpoint of the harmonic cycle, appear as if they could correlate to the Fibonacci sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...

The numbers start with zero, for music can not sound unless it began with a rest; then, you have the first note, then the same note an octave higher, then a perfect fifth, a perfect fourth, and all other intervals after that.

So, could someone please take a crack at it and verify if all this is related to the golden ratio?

Related links:

Plato Code, Pythagoras and Harmonic Science - Pink Manhattan July 10, 2010

Science Historian Cracks the 'Plato Code' - Pink Manhattan July 01, 2010

Plato Code, Pythagorean 729 and Vincenzo Galilei - Pink Manhattan July 06, 2010