This may be totally ridiculous, but maybe there's another way to get a balance wheel signal. The X-band Doppler type microwave motion detectors can pick up various object signals in free air from quite a distance, so maybe up close there would be enough resolution and penetration of the metal parts of a timepiece to get a usable signal in and out. It would tend to accentuate the fastest part of any motion - the balance wheel in this case. I can picture setting one up with the horn pointed at the thinnest part, likely the watch face, from maybe a few inches away - or whatever it takes to not overload the detector. The audio detector signal (if sufficient) could then be processed in the same way as with a microphone sound signal.

Ed
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