05

Independent Resonative Domains

Every numeration receives its own transform before any comparison happens: R_A = ๐“•(N_A) and R_B = ๐“•(N_B) share no state, no normalization and no scaling. Comparison is only performed on the two completed spectra.

05ยทS

Live spectrogram

start the camera in the cockpit to fill the window

Each column is one processed frame and one completed transform of the selected domain โ€” nothing is recomputed for the display, so the two resonative domains stay independent. Colour is magnitude in dB relative to the loudest band in the window (24 bands, DC โ†’ Nyquist); the amber trace is each frame's dominant resonance. The window is frozen at the newest stored frame.

A

Domain A

no transform yet

B

Domain B

no transform yet

ฮ”

Resonance distance

0.000000

Sum of squared complex coefficient differences over the shared band (bins 0โ€ฆN/2). Scale follows input magnitude, so it is reported next to the scale-free alignment.

amplitude-envelope alignment0.0000
cosine similarity of the two independent amplitude envelopes
ฯ„

Similarity threshold

ฯ„
0.55

Drives the resonative similarity and dissimilarity hypotheses. Moving ฯ„ shifts Bayesian evidence, never the transforms themselves.

above ฯ„
no
dominant A / B
โ€” / โ€”