Modulogium ↔ Sonologium
State-Variable Filter Q ↔ Acoustic Cavity Resonance
Electronic feedback gain in an analog synthesizer filter and physical sound wave reflections inside an acoustic pipe share identical second-order poles on the complex frequency plane.
SOURCE ANCHOR NODEModulogium
State-Variable Filter Q Resonance
Feedback-driven phase gain peaking near the cutoff frequency triggering self-oscillation.
Explore Sovereign EntryTARGET ANCHOR NODESonologium
Acoustic Standing Wave Resonance
Constructive wave interference creating discrete vibrational modes and pressure antinodes.
Explore Sovereign EntryMATHEMATICAL & STRUCTURAL HOMOLOGY
Transfer function $H(s) = \frac{\omega_0^2}{s^2 + \frac{\omega_0}{Q}s + \omega_0^2}$ where $Q \to \infty$ yields sustained self-oscillation.
EPISTEMIC RESOLUTION:
Sound generation through physical brass/wood columns and voltage-controlled op-amp circuits are sonic manifestations of the same differential harmonic operator.Filter Ologium: