'Prime silence'  Composite numbers divisors music
Post date:
7/7/2016
Last modified:
17/7/2016

Opus 1 (C major):
 For a Musical Instrument Digital Interface: download the MIDI file here.
 For a visual music score: download the PDF file here.
 For a coded music score: download the LilyPond (.ly) file here.
 For a realtime visualization of the song, watch the video below (to read numbers, it's advisable to toggle on the 720HD resolution; it might also be interesting to fiddle with the playback speed):

Opus 2 (wholetone scale on C):
 For a Musical Instrument Digital Interface: download the MIDI file here.
 For a visual music score: download the PDF file here.
 For a coded music score: download the LilyPond (.ly) file here.
 For a realtime visualization of the song, watch the video below (to read numbers, it's advisable to toggle on the 720HD resolution; it might also be interesting to fiddle with the playback speed):
 On the equation y=1/2x, every composite number &/or divisor can be found by evaluating y at x=4, and subsequently by evaluating x in steps of 2 (thus at 6, 8, 10,...).
 On the equation y=1/3x, every composite number &/or divisor can be found by evaluating y at x=6, and subsequently by evaluating x in steps of 3 (thus at 9, 12, 15,...).
 On the equation y=1/4x, every composite number &/or divisor can be found by evaluating y at x=8, and subsequently by evaluating x in steps of 4 (thus at 12, 16, 20,...).
 On the equation y=1/...x, every composite number &/or divisor can be found by evaluating y at x=8, and subsequently by evaluating x in steps of ...).
 ...
 E.g., if one wishes to retrieve all composite numbers and their divisors, for the first 100 natural numbers; one will need 49 such equations (thus from y=1/2x, y=1/3x, y=1/4x to ... y=1/48x, y=1/49x, y=1/50x).
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