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What do I need to look for?
If it's a different pitch, rather than diameter, then you're probably looking for a French thread M33×1.0, which limits your choices to Mavic or unobtanium. I don't have one to hand to determine whether it will work with a 13T, and while I know what day in 2011 I used a 13T sprocket, I'm reasonably sure that it was on my disc with an ISO lock ring, not on the Ellipses with the Mavic one.
Where were you 3 years ago when I offered to make French #tartmode lock rings? :)
I need a lock ring for a Corima track disc which is small enough to allow me to run a 13t cog.
The one I have is fine down to 14t but is too big in diameter to fit into the groove on the sprocket (Dura Ace). A DA lock ring has a different thread pitch, I think.
What do I need to look for?