The saxophonist and his quartet cross-pollinate Indian classical music and vintage Captain Beefheart to create complicated rhythms and solos reminiscent of jazz-rock fusion.

After he helped to develop the bluesy, driving hard bop style in the ’50s and ’60s, his funkier commercial hit recordings shaped black pop music through the advent of hip-hop. A committed music educator, the Detroit native was 80 when he died last week.

In the midst of the U.S. civil rights movement, pianist and composer Randy Weston found himself in Morocco, where he incorporated African musical forms and musicians in his recorded work. Weston returns to Piano Jazz with host Marian McPartland to perform “A Ballad for T.,” “Little Niles” and “African Lady.”

The legacy of the late hip-hop producer extended far beyond the beats he painstakingly created. Since his death, it’s also found artistic kinship in a generation of young jazz artists looking to square their instrumental training with their love of all modern music.

Composer and pianist Jason Moran ushers in his era as Artistic Advisor for Jazz at the Kennedy Center in Washington, D.C., with this performance, captured by JazzSet in honor of Black History Month.

The history of jazz is often told as a sequence of epic heroes, legends whose careers proceed from one great accomplishment to another. Coincidentally, one widely admired saxophonist has been reading Homer lately. Potter presents his new Odyssey-inspired suite The Sirens in concert.

On her latest album, Claroscuro, the jazz clarinetist explores influences that range from Louis Armstrong to Brazilian music to that of her native Israel. It’s this desire to adapt the instrument to so many musical traditions that has earned Cohen such acclaim.

The prodigious drummer Marcus Gilmore, 25, has been playing with the biggest names in jazz since he was a teenager. He’s coming off a career year that saw him named the top rising star among jazz critics. It helps that his grandfather is Roy Haynes, one of the great pioneers of the drum kit.

Shorter says that in combos led by John Coltrane, Miles Davis and Art Blakey, he learned a crucial rule of being an effective bandleader: Leave the musicians alone.