Published on Jun 30, 2013
THE SONG IS LONGER - http://youtu.be/ZuNO--JD8NM
explanation vid - http://youtu.be/xHSHEUvvT0I
I arranged these chords and melodic timing to the chromatic "notes" of pi. Instead of the standard decimal (base 10) number, I used pi in base 12 counting, where there are 12 digits in the counting system, and lined those digits up with the chromatic scale, which is all 12 musical tones in an octave so there's one digit per tone.
What was revealed is absolutely amazing. You might think the digits of pi would create a random sounding directionless melody, but the notes have as much musical structure as the notes a composer would choose. I recognized this and made it into this song by timing the notes and adding the chord progression based on the implied structure and context of the notes with each other. The song goes up to the 160th digit.
By request, here is the song without the repeats in the middle.
The first 16 digits are an astonishing melodic section, or phrase. Note the interval structures that create the illusion of repetition. It's efficiency in covering a wide range of emotion potential, the echoing interval structures, its balance creating such a gentle resolve, and the fact that it is not man-made are all elements that lead me to believe that it is the most beautiful melody that can exist, if there is such a thing.
This melody is inherent in the laws of mathematics, "written on the wall". In some sense, information (pi) is eternal, and certainly accessible to any intelligence that may discover it from any corner of the Universe, at any time.
Pi must be calculated in base12 to find this melody.
If you need to understand what BASE 12 means, please watch this video linked below.
I also started exploring The Golden Ratio Base 12 but I can't "see" the musical solution to it like I did for pi base 12. Euler's number and tau are the same way. I can't wait to hear the ideal musical structure of phi base 12 revealed... it is a truly haunting melody.
I have recordings of this song in every key in 3/4 time, several timing iterations of the melody in 4/4 time with this chord structure, and as a dance mix, orchestral piece, dubstep-ish, blues, swing, rock, even reggae... every genre of music I could think of with this chord structure with every melodic iteration I could think of. In 3/4 time, the timing of the notes fall perfectly in the measures, but in 4/4, there are several ways to phrase the timing of the notes.
The melody sets the song to be in the key of "4". I moved the tape down to put C=4 so that the first 16 digit section could be played in C major. I didn't assign pi to the white keys to get a song in C major, I adjusted the position of the chromatic version to reveal that it's in a major scale all on its own. There are long sections of the melody that progress with a stable diatonic set with slight variations that direct the chord progression in interesting ways. Trained musicians recognize how it resembles something a composer would sit down and write. I seriously question the randomness of these digits in the musical sense. There are so many common musical structures that all fit together very neatly and flow in time within very common chord structures. I found musical order in the digits of pi base 12 set to the 12 tones.
One of my main goals is the most straightforward presentation of the digits as a melody. There are 97 quarter notes in the song out of 160 digits. The 3/4 time signature is a key element to achieve this goal.
Did you notice the 4 in parentheses at the end? Since the song begins in the key of "4", it stands to reason that the final melody note of the song will be a "4", creating the final resolution back to where the song started.
3.184809493B91866 = can be repeated as many times as you want.
The next two digits are "45", but playing playing "44" instead brings it to perfect resolution.
3 | 1 | 848 | 0 | 949 | 3B9 | 186 | 6 | 4 4 |
So the song could end (or repeat all the way back to the beginning) when any melodic section resolves to the key of "4". In the version in this video, within 160 digits, there are three places to end/repeat the song.
So pi in base 12 is irrational and the digits go on forever, but in the musical sense it's perfectly rational and ends with a "4". How about that?
This is a link to the fundamentals of strings and resonance. Why 12 tones?
Here is a link to the statistics of "The musicality of random numbers". I realize that this study is incomplete and I look forward to a more thorough analysis.
If you want to use any of this, in any way, contact me on Facebook.
"This is like an easter egg IRL."
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