On Sunday their guests will include the tenor saxophonist Tony Malaby and the percussionist Kevin Norton.
He presents a new commission, "Trying and Erring," for a group that includes the percussionist Sean Meehan and the trumpeter Nate Wooley.
The band this weekend includes Rodney Jones on guitar, Curtis Lundy on bass, the drummer Lee Person and the percussionist Chief Bey.
The second, from June 24 to 26, includes the salsa singer Tito Nieves, the pop-jazz guitarist Earl Klugh and the percussionist Andy Narell.
He premieres his new sextet, which includes the saxophonist Steve Wilson, the bassist Avishai Cohen, and the percussionist Adam Cruz.
While Mr. Jamal occasionally coasts, this recording, which also includes the percussionist and the saxophonist George Coleman on a few tracks, is aggressive and full of life.
He is the only man in Big Lovely, whose members include the mandolin player Catherine Russell, the guitarist Judith Casselbery and the percussionist Maria Bryer.
This week he plays with a group that includes the percussionist Airto Moreira and the trumpeter Randy Brecker.
The rest of the group includes the guitarist Peter Bernstein and the percussionist Milton Cardona.
The instrumentalists included the hornist Neill Sanders and the percussionist James Blades.