Preheat the oven to 425°F. Line a baking sheet with parchment paper.
In a large bowl, whisk together the flour, cornmeal, sugar, baking powder, baking soda, and salt.
2 cups all-purpose flour, 1 cup yellow cornmeal, 2 tablespoons granulated sugar, 1 tablespoon baking powder, 1/2 teaspoon baking soda, 1 teaspoon salt
Add the cold butter and cut it into the flour mixture with a pastry cutter or fork until the mixture resembles coarse crumbs with a few pea-sized pieces of butter remaining. You can also place these ingredients into a food processor and pulse a couple of times until there are course crumbs.
1/2 cup cold unsalted butter
Pour in the cold buttermilk and gently stir until the dough just comes together. Do not overmix.
1 1/4 cups cold buttermilk
Turn the dough onto a lightly floured surface and gently bring it together with your hands.
Pat or roll the dough to about 3/4-inch thickness.
Cut the biscuits using a 2 1/2-inch biscuit cutter, pressing straight down without twisting.
Place the biscuits close together on the prepared baking sheet for softer sides, or leave a little space between them for crispier edges.
Gather the scraps and gently press them together to cut the remaining biscuits.
Brush the tops with melted butter.
2 tablespoons melted butter
Bake for 12 to 15 minutes, or until the biscuits are puffed and golden around the edges.
Brush the hot biscuits with a little more melted butter, if desired.
Serve warm.