Combine flour, baking powder, soda, and salt; stir well. Cut in 1/4 cup plus 2 tablespoons butter until mixture resembles coarse meal. Sprinkle buttermilk evenly over flour mixture, stirring until dry ingredients are moistened.
Turn dough out onto a floured surface; knead 10 to 12 times.
Shape dough into 2-inch balls, and press with knuckles. Place biscuits on a greased baking sheet. Bake at 450° for 10 minutes. Brush tops of biscuits with melted butter, and continue baking an additional 2 minutes or until lightly browned.