M1M if you (or anybody) can somehow manage to solve this by adapting these formulas to calculate the output of amplitude through a crank. I'd be more than happy to oblige to these statements you hold on to dearly.
This all can be done with exact measurements of the 2 different pulleys that are in question. Gather spec info like weight, size etc etc. these here have to be considered and nearly each one has its formula. The output has to be either identical or close to as factory specifications.
Center frequency
Driven harmonic motion
Formant
Harmonic oscillator
Impedance
Q factor
Resonator
Vibration
Schumann resonance
Simple harmonic motion
Tuned circuit
Wave
Sympathetic string