When I decided to pick up the trumpet about two years back, I found the best spot for me was a decidedly off-center placement on the mouthpiece. After much research and asking around, I've finally accepted that it was okay to go with this, and am somewhat pleased with my progress on the horn. I've actually stopped trying to move my mouthpiece more towards the center. Furthermore, I've found out that many famous players also play with the mouthpiece off center, to varying degrees.
After putting in the couple of hours practice today, I was shifting the mouthpiece around experimentally, and still the sweet spot is the same, right of center. I thought about it for a while, and then it occurred to me that the real reason why the right side was better for me, was because the facial and lip muscles are actually quite a lot stronger on that side (for me). When I used my fingers to feel my face, I can feel that my mouth/lip/jaw muscles are actualy firmer and more toned on the right side, compared to the left. So the sweet spot for me occurs there, because the muscles are more able to form and hold the embouchure in place. If i move to another spot, center or towards the left, I can also sometimes produce a reasonable sound, but I can't get it consistent, and I fade out really fast.
Most of the reasons that have been put forth seem to point to teeth formations, oral cavitiy idiosyncrasies as the reason why the mouthpiece placement is different for people, and as an explanation of why some embouchures are so off center. This was puzzling too, as I've seen many trumpeters with crooked incisor teeth formations, still able to play well with the mouthpiece centerd across these problematic formations. It seems to me that more significant factor is the difference in muscle strength between the left and right facial portion of people. If the person has both sides kind of equal in strength, then most likely the centered position would be the optimal position for them, and left sided persons would find it better with the mouthpiece left of center and so on.
As this idea was initially a bit strange to me too, I thought about myself at length. We aren't generally aware that our faces or lips are stronger on one side than the other so it is a bit of a foreign concept. In my case, I've always been strongly right sided, everything there seems to be significatnly stronger than the left side. Furthermore, because of some dentition problems, I realize that I generally do most of my chewing on the right molars rather than the left. So, the muscles there actually do a lot more work than those on the left side. Therefore it is no suprise that the right side of my face, especially the mouth and jaw area, is significantly stronger.
This same concept also explains for the first time (to me), why Kenny G, for example, plays with the mouthpiece far to one side of his face. I play sax, and I have a centered embouchure, and in general, the off center embouchure is also a lot rarer in woodwind players compared to brass. But I can understand now why even a reed player could possibly get better results with the mouthpiece favoring his strong side of the face. Also, brass embouchure is physically more demanding than woodwind, so perhaps that is why off-center embouchures are more common among brass players.
So what do you all think, does this kind of make sense?