All of the labels of “types of music” that have been discussed are mere techniques from which the young composer can pick and choose and discard and develop new ones as she learns her craft and finds her voice. A wildly experimental composer may have an amazing background in Baroque counterpoint even if her music is far from that of Girolamo Frescobaldi. Arvo Part’s early work had roots in the Schoenberg school. While he changed course with his later work, he did not ditch everything he learned previous to the change. A young composer does not go to conservatory or college to copy his teacher. It would be disappointing if she came out a mere copy. The list of schools set out by Spiritmanager to which I would add Indiana is a fine starting point. It is more important that the school be broad enough in mind to allow the student to blossom in their own voice. All of these school meet that. Then spend summers at IRCAM and have your mind blown.