In a large bowl, stir together the melted butter, light brown sugar, and granulated sugar. Add the eggs and buttermilk, mixing until smooth.

In another bowl, whisk the all-purpose flour, cornmeal, baking powder, and salt until combined.

Slowly add the dry ingredients to the wet mixture. Stir until just blended, taking care not to overmix.

Pour the batter into the pan and bake for about 25 minutes, or until a toothpick inserted in the center comes out clean. Serve with additional butter and a drizzle of honey if desired.