One of the more important rudiments that you're going to study on the drums is called the double stroke roll. Really any roll you study and understand is important but the double stroke is something that works the muscle in your hands, really gets your hands moving, especially a round set of drums, but I'm going to play more on the snare drum today so you see where you start and certain techniques are involved
Basically the double stroke roll is exactly what it says where you're getting two strokes per hand, right, right, left, left, right, right, left, left, and you're moving back and forth to a tempo that becomes a clean steady streams of notes. Now to start off a double stroke roll the way a lot of people begin is basically to drop their stick and to get a bounce, sometimes called the double bounce from each stick. So, you drop it let it bounce and pick it up it up after two. Now with that approach you're going to eventually hit a wall of how fast and cleanly you can go. So, over a period of time you want to try to work on is called a push-pull or sometime what I can a throw-pull grip where you're throwing your arm or the stick at the head and you're yanking back on the second stroke, so that your fingers and your arms actually have little motion in this. One series of doubles would look something like this.
As I pick up my arm the throw portion is throwing the stick at the head and the pull portion is yanking the stick back to get that second stroke. And hopefully you'll work hard on it to get it controlled enough where you get two strokes. So, as you speed it up with both hands it looks and sounds something like this. And that's a good starting point for developing the double stroke roll.