In large bowl combine both cornmeals, baking powder, salt, and pepper. In medium bowl stir sour cream and milk into beaten eggs. Pour sour cream mixture into cornmeal mixture. Stir cornmeal batter until well combined and glossy. Pour excess melted butter from baking dish into batter; stir to blend. Stir in cheddar cheese.
Bake 25 to 28 minutes or until corn bread is golden and begins to pull away from dish. Serve warm. Serves 8.