Place flour, cornmeal, baking powder, baking soda, sugar, salt, and pepper into a large mixing bowl and whisk together.
Cut in butter with a pastry knife or using your fingers until a fine grainy texture forms.
Fold in cheddar, jalapeno and buttermilk until a dough forms.
Scoop 1/4 cup sized balls of dough and drop onto a parchment lined baking sheet, about 1 inch apart.
Bake biscuits for 15 minutes. Remove from oven and brush tops with melted butter. Place back into oven and bake for an additional 5 to 10 minutes.
Remove from oven and allow to cool slightly. Once cool enough to handle, serve.