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Musimathmatics 1:
Factorisation
Number line sketches
Imagine every number from 1 upwards progressing in a line. Every number
is wholly divisible by 1 and by one or more prime numbers {2, 3, 5, 7,
11…}. These component values which when multiplied together produce
a given number are called its factors. Now, take one note at
a time, calculate its factors and play a note for each prime number present.
You might get something like this:
The score above represents the first eight bars of number
line sketch #1, produced by a progam written in Max/MSP which
factorises numbers using the first 15 primes and applying a series of
MIDI notes which approximate an ascending harmonic series {c1,c2, g2,
c3, e3, g3...} to the prime number series. Click on the link below to
hear this.
Number line sketch #1
single instrument, first 3000 numbers, 90bpm (180 notes per minute)
Play MIDI file
Number line sketch #2
first 800 numbers, 150bpm (300 notes per minute). Notes transposed reassigned
to small ensemble (congas, cymbals, bass etc.)
Play MIDI file
