I also just restored a falcon. I do the same white diamond with a buffing wheel, but after a couple the wheel is useless. All that black tarnish ruins it, just fyi. Same thing with polishiing silver bands on pipes. Also a trick I learned is, if you are polishing a silver band on a pipe. Put some electrical tape or scotch tape around the wood part of the shank as the black junk will rub off while polishing the silver.