Tonestacks

MIDI off
Pitch-aligned spectrum
Pair compatibility matrix dark = smoother pair
Dyadic roughness

Harmony Field

Field idle

H -- C3-C6
Keys
Sampler Fixed
Voices
4.8 2.0/s
Hamiltonian trace H = --
Waiting for a generated state.
Model
\[ H(X)=\chi_B B(X)+\chi_P P(X)-\chi_R\lambda_R R(X)+\chi_S\lambda_I\bigl(I(X)-I^\star\bigr)^2 \]
\(X\) active notes · \(E_{ij}\) clipped 5-95% calibrated roughness · \(M\) decayed note memory · \(\mathcal{Y}\) previous sampled chords · \(\sigma=0.35\) · \(\kappa=3.0\)
Trace
pair field -- \(B(X)=\sum_{\{i,j\}\subset X,\ i<j}E_{ij}\)
memory -- \(P(X)=0.62\,\delta\left( \frac{\sum_{x\in X}\sum_{m\ne x}M_mE_{xm}}{\sum_{x\in X}\sum_{m\ne x}M_m} -0.26\min\left(1,\frac{\sum_{x\in X}M_x}{\sum_mM_m}\right)\right)\) 0.70
recurrence -- \(R(X)=\max_{Y\in\mathcal{Y}}\exp\left[-D(X,Y)^2/(2\sigma^2)\right]\) term \(-\lambda_RR(X)\) 0.35
surprisal -- \(I(X)=-\log_2\frac{1}{|\mathcal{Y}|}\sum_{Y\in\mathcal{Y}} \exp\left[-D(X,Y)^2/(2\sigma^2)\right]\) term \(\lambda_I(I-I^\star)^2\) 1.6b 0.22
\(D(X,Y)=\frac12(d(X\to Y)+d(Y\to X))+0.18\frac{\bigl||X|-|Y|\bigr|}{\max(|X|,|Y|)}\) \(d(A\to B)=\frac{1}{|A|}\sum_{a\in A}\min_{b\in B}E_{ab}\) H -- I --
Sampler mode
Partials