Paul's brake cable hangers come in 4 sizes, three different front cable hanger sizes and one rear cable hanger size.
The 7/8" (22.2) is for mounting off the quill shaft of 1" quill stems. The 1" sized front hanger goes in place of a 1" threaded headset spacer. The 1 1/8" one goes in as a headset spacer on 1 1/8 threadless bike. The last one, the rear cable hanger is only for mounting off of 27.2 seatposts.