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Separate rotors...

 

...The 1666 has separate rotors/stators for the Second hand and for the Hour/minute hands....

So sounds like something's up with the Hour/Minute side...could be mechanical (doubtful) or electronic...trying that synch hand thing might help.

Other than that, it's multimeter time: Minute hand coil 2.8-3.8kOhms. Once the battery's out, you can gain access to the measurement points:

 

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