That's it except for one small nit on point #2. Our par is the lowest possible sacrifice that's still profitable. Let's say we can take 11 tricks in hearts and they can take 11 tricks in spades. If you took your definition #2 literally, then it would say that our par is 7♥, when it should be 6♥. I think my definition works, because [in your example] the par contract is 6♥x-1 by us, so point #1 applies and we never move onto #2. --- Your data are interesting, but could you tell us where the thirteenth card in hand C should be? I like the point that par contract is not best for determining preempts (unless this is going to shift people over to opening 4♠ on hand :).