Tensions are said to have run a bit high during the recording of the composer and saxophonist Anthony Braxton’s pathbreaking, style-blending album “Creative Orchestra Music 1976.”

At the time, it was one of the Arista label’s most expensive productions, requiring multiple sessions and almost two dozen musicians. One seasoned player temporarily fled the studio after deciding that one of Mr. Braxton’s intricate parts was unplayable.

You don’t expect to hear high schoolers performing music deemed unplayable by professionals. But on June 10 at the Jazz Gallery near Madison Square Park in New York, three young ensembles from the Kaufman Music Center’s Face the Music program — featuring players between the ages of 12 and 18 — will convene for a remarkable concert devoted to Mr. Braxton’s work.