Hey,
I just picked up a used trumpet and am diligently trying to teach myself how to play. I'm very familiar with theory and such, but I was wondering if anybody could give me some pointers. I've not been able to find a teacher in my area yet, so I've been trying to find as much information as I can. I know there is a lot of stress in early Embouchure development. I'm slowly starting to get a better grip on buzzing. I still can't buzz a whole scale, but am getting there.
However, I am A LOT better and it is A LOT easier to play if I hold the mouthpiece slightly to the right of the center of my lips. I can easily buzz a steady, bassy range that is just about an octave. I haven't been playing to much like this, because I fear it's probably a bad habit to get into. It took me forever to relearn proper pick form on guitar. Although, I was reading that playing with a mouthpiece slightly to your side isn't that uncommon. One of Duke Ellington's players supposedly played like that. I wanted to see what people thought about this.

Not everyone is symetrical. In a perfect world the center is the way to go, but in reality your are probably going to favor the larger side of your head. How your mouthpiece sits on your lips is going to depend on how straight your front teeth are and how your lip muscles developed.

And this will change slightly over the years as your body changes.