NEXOLOGIUMFEDERATED GRAPH LAYER
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530 BCE — 2026 CE · Sonologium + Modulogium

The Lineage of Acoustic Decomposition & Modular Synthesis

All acoustic timbre is the summation of harmonic sinusoids; voltage control allows arbitrary dynamic re-synthesis.

530 BCESonologium · Harmonic Acoustics

Monochord Integer String Ratios

Pythagoras of Samos

Discovering that musical consonances correspond to simple integer string lengths (2:1 octave, 3:2 fifth, 4:3 fourth).

1822Sonologium · Mathematical Physics

Orthogonal Harmonic Decomposition

Joseph Fourier (*Théorie Analytique de la Chaleur*)

Proving that any periodic continuous function can be decomposed into an infinite series of sinusoids.

1863Sonologium · Psychoacoustics

*On the Sensations of Tone*

Hermann von Helmholtz

Inventing spherical acoustic resonators to isolate individual harmonic partials in complex musical instruments.

1964Modulogium · Electronic Instrumentation

Voltage-Controlled Modular Synthesis

Robert Moog & Don Buchla

Inventing 1V/Oct exponential voltage control for oscillators, state-variable filters, and amplifiers.

2026Sonologium · Digital Audio Physics

Non-Linear Waveguide Acoustic Modeling

Neural & Physical Waveguide Synthesis

Simulating boundary element wave equations in real-time on GPU tensor cores.