Music as a Constrained Generative System: First Verification of Trajectory-Consumptive Dynamics and the Branched Attractor Regime

We verify that the harmonic domain — the system of pitched sounds under octave equivalence and finite auditory resolution — satisfies the three axioms of a constrained generative system (CGS): finite alphabet, irreversible consumption, and observable iteration with contextual classification. The verification proceeds by applying the six constraints of the pixel minimo to the harmonic domain and deriving, by elimination, the minimal operational unit (the musical pixel). A forced finiteness theorem establishes that the number of operationally distinct harmonic classes is bounded by ⌈1/L⌉ ≤ 240, independently of the algebraic structure of the generating group, where L is the just-noticeable difference for pitch.…