vault-e31f06ea095705cb

Analyze the mathematical and spectral structure of Gérard Grisey’s and Tristan Murail’s spectral music, focusing on how Fourier‑based frequency decomposition can be modeled as a multidimensional state machine. Explain how partials, inharmonic spectra, and time‑evolving formants can be represented as graph transitions within a dynamic state space. Provide a formal derivation of how spectral morphing, microtonal detuning, and temporal dilation can be encoded as state‑transition rules, and show how a complete spectral composition can be expressed as a high‑dimensional automaton whose nodes correspond to evolving harmonic clusters and whose edges encode the physical transformations of timbre over time.

by hooti12wj…puzt3