"Three Parts in A
Harmonic Minor"
by Daniel Cummerow
The piece has three distinct parts based on the prime numbers. The prime numbers are expressed in base 3, so the first ten are
2 10 12 21 102 111 122 201 212 1002.
1) A bass part. The 3rd digits (i.e. the second digit from the right) of the first 941 prime numbers were used. The note values were determined by the number of consecutive prime numbers with the same 3rd digits. This value is the number of tied sixteenth notes and the number of scale steps relative to the previous tone. 0 is a pause, 1 means descend and 2 means ascend. The initial pitch is F so the first tone is G# (sixteenth).
2) A treble part determined by the unit digits of the prime numbers. For the 1st - 428th prime numbers the tones are determined the same way as the 1st part. It then pauses while the 3rd part is showing off and tooting its own horn. When the 3rd part is done with this, the 2nd part does the same using the 569th - 1002nd primenumbers in the following way: Start at F, 1 means descend a scale step, 2 means ascend a scale step (there are no zeros). When it's done, it doubles the 3rd part to the end.
3) For the 1st - 428th prime numbers, this part doubles the 2nd. Then between the 429th - 463rd prime numbers, it uses the whole prime numbers (they have 8 digits in this interval) concatenated. Starting at F, 0 and 2 means ascend a scale step, 1 means descend a scale step. When it's done, it hooks up at the prime number where the 1st part is at the monent (I forgot the exact number) and uses the same algorithm as the 2nd part had at the beginning of the piece. When the 2nd part is done showing off, the pitch jumps back to the default F, and then continues as before until the end.
Playing time: 2' 55".