A hand of bridge has 13 tricks, and one can win between 0 and 13 tricks in a hand.
Between 0 and 6 tricks would constitute a minority of tricks, with 6 being the largest possible (discrete) minority. Seven tricks would be a majority.
So bidding systems are built on a base of six tricks. That is a bid of "one heart" really means "seven tricks, with hearts as trumps."
Is there a term, such as "superminority," that would refer to this base of six tricks as the "largest possible minority."