The Birdland Big Band directed by Tommy Igoe "New Ground" Comp. Darmon Meader Arr. Nick Marchione Soloists are Rob Middleton on tenor, Kenny Ascher on piano, and of course, Tommy on drums.
According to Tommy Igoe's definitions from his groove essentials, I believe he is playing a Soca and then a Songo. Some would interpret it slightly different and say that's a calypso groove instead of a soca. They both come from Trinidad, you can read more by searching "Soca Music", "Calypso Music", and the like on Wikipedia.