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Then it will be fine with 700C clincher or 28" tubulars
"fine" for steep banked track use where bb height is very important? I have some nice TA cranks which I think will suit it but they are 170mm making then bb height even more important.
My colleague has a Flying Scot he uses on the track and I think it's a similar age and maybe also designed for 27s but running 700s.
I do intend to chuck my track wheels on it and see what the bb height is like once I'm back at work. I don't have any 23mm tyres at home or I would have done so already.
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Measure the BB height above ground with 700c/tubs on. Lee Valley specifies a BB height of 285mm or more. My guess is yours will be lower than that. Other than sixes, '50s track racing was pretty much all on larger outdoor tracks.
If the frame works for you on the track, you could always tape up the braze-ons to get within the rules.
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"fine" for steep banked track use where bb height is very important?
Well, it's important if the track management measure it before letting you play 🙂
28" tubulars are not the same size as 700C, they're about as big as 27" clinchers of the same cross section.
In the end, you just have to measure and see if you fit the rules at whatever track you're going to.
Then it will be fine with 700C clincher or 28" tubulars
Path=track. A dual purpose frame/bike/club is "road and path"
Road time triallists used road or track drops until the 1980s, then briefly pursuit bull horns on lo pro bikes before tribars took over.