Modulation

Lorenz

A Lorenz attractor — the famous “butterfly” system from chaos theory. Three related signals that wander forever without repeating.

Learn about it in Melody & chance: chords, arps and generative patches

How it works

The module solves the Lorenz equations continuously. Speed sets how fast it runs: low values give slow, organic modulation; very high values push it into audio range for gritty noise-tones. Rho changes the character — near 28 is the classic butterfly; other values get calmer or wilder.

Inputs

SPEEDAdds to Speed (+1.0 = +200). Patch an envelope here to make it rush on each note.

Outputs

XFlips between the two wings, roughly −1 to +1.
YSimilar to X but leads it slightly.
ZBounces around the middle; smoother.

Knobs and switches

SpeedHow fast the system evolves.
RhoShape of the attractor.

Patches to try

  • X → Scope A, Z → Scope B, Scope in X/Y mode: watch the butterfly.
  • X → Filter CV for evolving, never-repeating sweeps.

Lessons that use the Lorenz

Each one opens as a working patch in the synth.

Words to know

  • Modulation — Using one signal to change another over time.

More modulation

LFOADSRSample & HoldEnv FollowerSlew