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650 597 - you see this size on the older British 'club' bikes
650A 590 - older 3 speeds
650B 584 - the older French touring and now has come back into fashion on off road/gravel etc, also 27.5 which is 584 as well.
650C 571 - Orig for v.large balloon tyres, it ended up being for TT/lo-pro machines.Then there's 26"/559 MTB and also 26"/599mm on some old US built racing machines
So not all the same diameter :D
I always thought 650C rims were the same diameter as 26", same as 700c and 29?