Hi,
I just got a new sprocket (Stolen cartwheel). I noticed the top hat washer doesn't fit tight into the sprocket, there's just under a mm play between the sprocket and the washer. So when it's on and I turn the sprocket the chain goes from tight to loose, at the same point in every revolution.

Should there be play between the washer and the sprocket like this?

When you say there's a few sizes, I know of 15/16" to 19mm, 15/16" to 22mm, and 22mm to 19mm.
My sprocket is 15/16" bore and spindle is 19mm.
But the play is only about 0.5mm. Surely if I had a 22mm to 19mm washer the play would be 2mm? Or are there other sizes?