Boltzmann^™

Probability, made audible.

Boltzmann selects each pitch from an energy landscape. The probability of a note falls off exponentially with its energy, its dissonance against the root, and Temperature sets how steep that fall-off is. Cold makes the root almost certain. Hot levels the field. The partition function Z normalizes the odds so they always sum to one, and the histogram redraws as you turn the knob.

• One knob over the whole field.

  Temperature sets how sharply the distribution favors low-energy pitches. Cold collapses onto the root; warmth admits the fifth and other consonances; hot flattens toward equal odds. Everything reorganizes continuously in between, and it automates.

• Energy is dissonance.

  Each pitch's energy is its interval distance from the root. The root sits at the ground state; the tritone and minor second sit at the top. The Scale and Root you pick reshape the landscape, or draw your own on the custom scale ring.

• Two ways to walk it.

  Independent draws each note straight from the distribution. Metropolis takes single steps and accepts them with probability min(1, e^(−ΔE/T)), the same distribution reached by a melodic contour instead of leaps.

• A phrase you can lock.

  LOCK re-seeds the generator at every loop top, freezing the stochastic stream into a repeatable phrase. MUTATE redraws a tunable fraction of steps each pass, from a bit-exact loop to molten. SEED names the phrase; the dice draws a new one.

• Rhythm and register, by hand.

  A Euclidean skeleton sets the pulse with Steps, Density, and Rotate; a six-octave lattice decides which registers are in play. Hold a chord and ARP rebuilds the whole landscape from the notes under your fingers.