Melodic / Rhythmic patterns from Complex Number behavior

[kijjaz]

Thanks for this community, now I'm feeling hardworking again.
Now I'm gonna try out more about the nature of Complex number
and how we can turn those into interesting-sounding elements in music.

I thought of some simple iterated calculation with complex number
and come up with this idea:

z(1) = (1, 0)
z(n+1) = a * z(n) + b
(a and b are also complex)

surely, this iteration is simple, and require only one variable to store the value.
when z is reset to (1, 0) again (for example, every 8 notes or 16 notes..)
we can see that z (on a complex plane) move in a somewhat circular orbit.

so i'm curious to see if we put chuck's maybe there also, like this:
z(n+1) = a * z(n) + b * maybe

enough with the nerdy stuffs for now
- - -

starting from this idea, I use z's realpart (z.re) as the frequency of a SinOsc
that's frequency modulating another SinOsc with z's imaginary part(z.im) as its frequency.

That turns out to be more musical, but reflecting an enigmatic harmonic coloring.

So here goes a live performance of the patch.
I tweak the patch every 4 or 8 bars, something like that
and keep 1-2 shreds of them flowing at the same time.

www.myspace.com/kijjaz
Thanks for listening, and feel free to download the mp3.

[blue hell]

[Inventor]