Preheat oven to 425°F. Line a baking sheet with parchment paper. Set aside.
In a medium mixing bowl, use a whisk to sift together flour, cornmeal, sugar, baking powder, salt and baking soda. Using a pastry blender or two forks, cut butter into the mixture until it resembles coarse crumbs.
Add buttermilk; stir just until combined. Turn out onto a lightly floured non stick surface. Roll 1/2 inch thick. (You may also add a light dusting of cornmeal to the surface in addition to flour)
On a lightly floured surface, roll into a round 1/2 inch thick. Cut rounds with a 2 inch biscuit cutter, dipped in flour. Place on pan at least 2 inches apart.
Brush tops with melted butter. Bake for 15-20 minutes or until puffed and golden.
Serve immediately with chili, soup, pinto beans or butter and honey.