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funny nut sizes might well be Whitworth
Maybe, the 17/32" wrench is also used for 5/16" fasteners on some old British cars, but they could just as easily be 24 or 26TPI CEI (trivia point; a year later the CEI thread was formally adopted as a national standard to become the BSC we know and love, and which is often wrongly referred to as BSA in bottom bracket discussions). The thread form and pitch isn't relevant at this stage, I just need something easy to carry which will fit both ends.
Nice bike.
Those funny nut sizes might well be Whitworth. That front one looks a lot like 1/4W.