Dave Brubeck (Actually Brodbeck, a name from Switzerland) is best known for his Take Five. That album was the first jazz record ever to sell more than a million copies. Take Five is also well known for its unusual time signatures, creating interesting rhythms.
Stylistically Brubeck has been put between classical music and jazz, something called “third stream” in the fifties. He holds his classical counterpart in this, Darius Milhaud in high regard, and it is easy to spot the similarities. This record might be an exception because of the commercially interesting material, but it falls in the same category in the way that the composer of the music of West Side Story, Bernstein, found himself in a similar situation sometimes: too classical for musical, too much musical for classical.
Dialogues for jazz combo and orchestra on side A is conducted by Leonard Bernstein, so this record is a collaborative effort.