I was in this public high school in Princeton, and it had this topnotch jazz program - if you were a musician of any kind of caliber, your holy grail was to be in that orchestra. It was that claim to fame of the school, of the town, other than the university. But it was better than the university band.
One interesting thing about jazz, or art in general, but jazz especially is such an individual art form in the sense that improvisation is such a big part of it, so it feels like it should be less soldiers in an army and more like free spirits melding. And yet, big band jazz has a real military side to it.