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When Duke Ellington died, Charles Mingus mourned the musical fate of “Duke’s dead band.” But even after the passing of a band’s leader, the vivid music and swinging arrangements that made it famous can continue to thrive. In the case of the Count Basie Orchestra, the spirit of Basie’s jumpin’ big band is channeled through current bandleader Frank Foster, who was the ensemble’s featured tenor-sax soloist from 1953-64. The orchestra’s third leader since Basie’s death, Foster still swears by the Count’s cardinal rule: “keep it simple, swinging, and leave some space for the rhythm section.” It’s dance music, after all. At 8 & 10 p.m. at Blues Alley, 1073 Rear Wisconsin Ave. NW. $20. (202) 337-4141. (Chip Porter)