Preheat oven to 375 degrees, with racks in upper and lower thirds. In a large bowl, whisk together flour, cornmeal, baking powder, baking soda, and salt. With a pastry cutter or your fingers, cut in 1/2 cup cold butter until mixture resembles coarse crumbs with a few pea-size pieces remaining. In a small bowl, whisk together buttermilk and 3 tablespoons honey. Add to flour mixture and stir with a fork until dough just comes together. (Dough will be slightly sticky; do not overmix.) With two large spoons, drop 10 mounds of dough, 2 inches apart, on two parchment-lined baking sheets.