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Did you know that Stephen Sondheim was a pupil of Milton Babbitt? Or that John Cage studied with Arnold Schoenberg? This week on Hammered! we tease out the often unexpected musical relationships between some of the century's greatest pedagogues and their students.

Take, for instance, the extraordinary breadth of Milton Babbitt's pedagogical influence. Over the course of his lengthy and inspired teaching career, which included stints at Princeton University and The Juilliard School in addition to being one of the foremost musical theorist of the 20th century, he taught a staggering range of composers. Stephen Sondheim, sure, but also consider the variety of styles represented by Donald Martino, Paul Lansky, Kati Agocs and David Rakowski.

We'll also hear music from two of his youngest students from Juilliard, Wei-Cheih Lin and Nathan Shields, who wrote a beautiful memoriam for Babbitt shortly after his passing in January 2011.

But that's all just Monday -- each day we'll focus on a different composer-teacher. Wednesday, for instance, you'll hear music of the legendary Nadia Boulanger and students Aaron Copland, Arthur Berger (an incredible Duo for cello and piano, a rare Hammered! exception), George Antheil and ... wait for it ... Philip Glass! In another rich hour of music on Thursday we connect the musical dots between Olivier Messiaen and a handful of his often equally influential students, including Tristan Murail, Pierre Boulez and George Benjamin