A flame tamer will certainly help, as would a set of new pans with very heavy bottoms and excellent heat-distribution qualities, preferably made of copper or aluminum. The best pans are meant to allow you to cook with essentially no exposure to hot spots in the pan, even though they are unavoidable in the ring of a gas flame. But since a set of such pans can set you back as much as a new stove, we're guessing you'll go with the flame tamer.

The thicker the flame tamer, the more effective it will be at diffusing the heat - that is, the more capacity it will have to spread out the heat of your lopsided flame and deliver it more evenly to the bottom of your pan. It may not completely solve the problem of the lopsided flame, but it is sure to help.