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Because the weight of a bob does not affect the period of the pendulum. Only changing the length does.
I was tryng to work out how long the pendulum would need to be on your potential model as The Big Ben pendulum is 4.4 meters (approximately 14 feet) long and weighs 310 kg!
If you ever built the full size clock with the 14 foot 660 lb pendulum, a scrap 1970 Cadillac 500 cu in V8 would be almost the exact weight needed...you could take off / put on one exhaust manifold nut to adjust the time - no pesky finding of a penny coin needed! How tall's the hay stack pile of brass swarf in the back yard now that the gears and pinions are completed?
Sounds like there have been numerous methods to maintain pendulum period over the centuries, more than I ever imagined. For those who have not read it, I heartily recommend reading Dava Sobel's book Longitude, about Harrison's quest to come up with a clock that could be used in navigation at sea