Friday, November 10, 2017

[dytiyjdb] Primes on a music box

Start with an integer A with lots of factors, typically a primorial.  Consider the families primes of the form A*t+B, where B is relatively prime to A and 0<B<A.

Assign each family a musical note, and sound the note for each value of t that there is a prime.  The value of t represents time.  If there are many Bs for a given t that are prime, then a chord will sound.  Using a pentatonic scale avoids dissonance.

Speed up time logarithmically to compensate for the primes thinning out.

Previously on the music of the primes.

No comments :