The musician died Thursday from complications from a kidney transplant he received in 2009 from a fan, Laura Mehr, Ware's manager and record producer, Steven Joerg said.
Ware's interest in music began at age 10 when he started playing the alto saxophone. By age 14 he was making trips to Manhattan to hear jazz in nightclubs and soon developed a bond with fellow jazz musician Sonny Rollins, The New York Times reported Saturday.
Ware was one of the few breakout stars of the jazz world, receiving the lead slot review for his 1995 album "Cryptology," in Rolling Stone, which rarely reviews jazz music, the Times said.
His music was known for being unconventional, featuring improvisations within standard harmony.
"I'm not interested in chord changes," he said in an interview for a short film produced by the David Lynch Foundation. "I don't need that. I work on concepts."
Ware is survived by his wife, Setsuko S. Ware.
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