2728 · route to chaos

Bifurcation

One knob — the logistic map’s r — creeps from order into chaos and back. A held tone period-doubles into an ostinato, into noise, then clean windows surface out of the static. The bifurcation diagram is the score.

A self-playing piece. On Begin, r sweeps 2.8 → 4.0 over about five minutes and back — you will hear one pitch split into two, into four, dissolve into a chaotic wash, and re-emerge as a triplet in the period-3 window. Pitches are microtonal by design: chaos is not in any key.

Sound + motion start on this tap. Then drag left↔right to scrub r.

The dream lab — Karel Barnoski