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Published on Jun 7, 2013
There are newer versions and they're available here theancientmelodies.com
-- I arranged this melodic timing and chords to the chromatic "notes" of pi. Instead of the standard decimal (base 10) number, I used base 12 counting, where there are 12 digits in the counting system (A = the 10th digit ; B = the 11th digit), and lined those digits up with the chromatic scale, which is all 12 musical tones in an octave.
What was revealed is amazing. You might think the digits of pi would create a random, directionless, dissonant sequence of notes from the chromatic scale, but the notes contain as much musical structure as those a composer would choose. The first 17 digits have a solid tonal center. I recognized this and made it into this little melody by timing the notes and adding the chord progression based on the implied structure and context of the notes.
I IV vi III IV V ii V
The final note is the only melody note I added. Since the song begins in the key of "4", playing a "4" at the end of the phrase brings resolution.
The next digit is a "5", but playing "4" instead brings it to perfect resolution.
3 | 1 | 848 | 0 | 949 | 3B9 | 186 | 6 | 4 ~4~ |
Guitar players can play along with the digits as tablature if you stay on the B-string.
A =10th fret B =11th fret 0 = open/12
I made a Tango of Euler's #. Also, I have explored phi/golden ratio but no music yet.