Aesthetics of the Prime Sequence

Prime numbers have the characteristic that they extract themselves from each regularity. Since they expand however in the infinite, theoretically meaningful information must arise sometime. The difficulty consists in, to break down this result that it is available in an understandable form. Music is a form under many possibilities. The music midi files, may not contains any particularly valuable informations, than aestheticalies. However it represent the spirit of this reflection.

This midi file is created, using the basic algorithm (see below), from the first 18000 primenumbers, start at the 4'th primenumber 7. This midifile take part in Phil Thompson's Fractal Music CD.

Some other examples of prime midi files
(different algorithms):

Download MAKE-PRIME-MUSIC (release 1.1.3.2)

Description of the Midifile
(basic algorithm) With exception of 2 and 5, any prime number modulo 5 have as results 1, 2, 3 or 4. Around now the definite Midi note to be received, the modulo results of three successive prime numbers are selected and to a number, on base 4, compound. 64 possible combinations result.

How to calculate the three first midi notes?
The three first prime numbers 7. 11. 13 modulo 5 results in 2. 1. 3. In the four-calculating-system this number represent 2-1=1, 1-1=0, 3-1=2 >> 102. In the decimal system this results in 1*4^2+0*4^1+2*4^0=18. The midi note become 18.

The Midi file has the following characteristics
The prime numbers 2 and 5 make no sense in the characteristic described here, so the prime number 7 is the first possible number to be considered. The notes are divided in to 4 voices/tracks.

voice 1 contains the notes between 000 and 033
voice 2 contains the notes between 100 and 133
voice 3 contains the notes between 200 and 233
voice 4 contains the notes between 300 and 333

In each voice the note continue until the next note in this voice arise.