Logistic Equation Sonification

"2.99<r<3.9"

This piece is a sonification of the logistic map or logistic equation with each point rendered sonically as a grain in granular synthesis.
It uses the formula: Xnext = r*Xprior*(1-Xprior)
Over the course of the duration "r" increases from ≈ 2.9 to 3.9 exploring the bifurcation patterns and the fractal and chaotic nature of the output. The y-axis is represented as the pitch of each grain.

The video version is programmed in Supercollider, with the visualization of that sonification programmed in openFrameworks.

 

This audio only version applies the same concept, but is programmed in Csound resulting in a slightly different aesthetic.