Almost any English teacher can be counted on to make some sort of a handout on when to use a comma. It’s sort of that same way with brass players and exercise books, going back — at least — to Arbans famous method.
Both comma handouts and brass exercise books have this in common: despite some points of controversy, you end up with lots of similar material and advice. And yet, despite all that, there’s still the occasional insight and innovation.
In 1936, Jack Teagarden, the jazz trombonist from Vernon, Texas, known for his ability to play a whole lot of trombone in the first 4 positions, came out with his High Tone Studies for Trombone, a short treatise of 51 exercises designed to help get the player up to a high D. The book is currently available on Apple’s iBooks, and also at Cherry Classics Music. As CCM’s blurb says, “it is obvious that Teagarden had put a lot of thought into his technique.” A bit of classic good advice from the book:
Do not force or strain at any time. Rest frequently.