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withered_preacher-
he just wants to change the smallest cog
I'm not sure which is less likely, finding a 13T which fits a TZ500 body or actually getting the 14T off in the first place - it's generally easier to break the other sprockets than it is to remove the smallest one on a used freewheel.
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Not possible with any ease, the freewheel is a complete unit and should be replaced as a whole component
gbj_tester
freezing77
In general, yes, 7-speed multiple freewheels still come in 13-up configurations (they used to come in 12-up too when I was a boy). On the cheap end, 13-28 for £7.99, at the high end 13-various for eight times as much.