I have a Raleigh.

I have a 9-speed cassette that goes 12-13-14-15-17-19-21-23-26. It's like a bail gear but then again it's not............. I built it with another gearsets (wtf uses a 26?). The cassette-to-cog fitting should be the same (?).

If you try anything take the old cassette with you, check those things.