Pastorbill - finally have time to try to explain how I made the ring. I am not saying this is the best way but it worked for me. first let me explain I did not have any bushing or tubes that were an exact match of the part of the center band that this would slip on. I am assumeing that you know how the Berea 3 part centerbands work, if not let me know.
I found a drill bit that would make the proper sized hole so that the that the wood would just barely slip on the .
chucked a pen blank in my 4 jaw chuck, and turned the end closest to the tail stock to a little larger then the desired outside diameter.
I determined the desired width and took a parting tool and parted a tendon slightly smaller than my drill bit size (se picture). I then coated it in thin ca a couple time and medium ca once to harden the hole thing up. I then put my Jacobs chuck in the tail stock and slowly drilled out the hole. When you get all the way through the CB and het the tendon (that is smaller than the drill bit) the cb just pops onto you drill bit. The CB is very thin I stopped several times the let every thing cool down. With as thin as the CB is I wanted no heat to build up.
To finish I moved my Jacobs chuck to the head stock, found a bolt where the smooth metal part betwean the threads and the head was almost as big as the CB hole and wrapped some masking tape around it until the CB would sit tightly on it. Chucked it in the Jacobs and sanded and finished it.
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Note - I felt the hole in the center band was a little to tight so I expanded it a little with some 400 grit sand paper wrapped around a tapered wooden dowel. I did not want to go up to my next drill bit size since you really do not have much wood to work with. Also I tried some thing similiar to what Wayne posted but I could not get it to work. Maybe on a softer wood his method would be prefered.
It really is a lot easier than it sounds. I might mention that I do not think a V point drill bit would work well. I am not sure the name for the ones I used, sorry. ( edited it -Spur point http://www.diydata.com/tool/drillbits/drillbits.htm#spurpoint )