In a large bowl, combine the cornmeal, flour, baking powder, baking soda, and salt and cayenne pepper and stir till well blended. In a small bowl, combine the eggs, cheese, buttermilk, and lime juice and stir till well blended. Add to the dry ingredients, stir till the batter is well blended and smooth, and set aside.
In a medium skillet, melt the butter over moderate heat, add the corn, bell pepper, and scallions and cook, stirring, till softened, 4 to 5 minutes. Add the cooked vegetables and crabmeat to the batter, stir gently with a fork till well mixed, and form the mixture into 6 oval patties.
In a large, heavy skillet, heat about ¼-inch of oil over moderately high heat, cook the patties about 3 minutes on each side or till golden, and drain on paper towels. Serve hot.
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