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N_Cook
To me the way that makes the most sense is to completely uncouple the
two functions. The accuracy of the cheapest quartz movement is far
better than you can get with the most precise pendulum. The most
efficient pendulum is one that oscillates at it's native frequency.
Googeling electronic pendulum drive circuit yields a great deal of
information, including some designs that simply provide a boost to a
pendulum at it's native frequency. Most of the designs did nothing to
optimize drive current.
PlainBill
Perhaps you could gate the output drive by a divide by 10 counter on the
clock ouput and only power kick every tenth swing of the pendulum. Would
conserve battery and perhaps less amplitude of swing