Just like there exists binary and integer Semaphores, does the Event Counter play an integer version of a Barrier?
Event Counters are described in the paper
Reed, DP; Kanodia, RK: Synchronization with eventcounts and sequencers. Commun. ACM 22(2):115-123, 1979, http://doi.acm.org/10.1145/359060.359076
There is an online versions of the paper here.