Cable Stops - Clamp-on, for brake and derailer cable housings.
28.6mm (1-1/8") and
There's only a 1/8-inch difference in those tube sizes. It's helpful to have a dial caliper to measure yours.
This fellow's Rambouillet's cable stop got wrecked in a bike rack clamp. At some point he can strip the bike and have a new one brazed on, then get the spot touched up. But that's a month and $150 away. This clamp is quicker.
This Quickbeam frame is on it's way to get set-up with some derailleurs and bar-end shifters.