Preheat the oven to 375 degrees. Lightly coat a muffin pan with non-stick spray or line it with cupcake liners.
Combine butter and sugar in a medium bowl. Add eggs and beat until combined.
Stir in the baking soda. While continuing to stir, pour in the buttermilk until combined.
Add in the cornmeal, flour, and salt and stir until mixed together. Fill each muffin cup a generous 3/4’s full.
Bake for about 20 minutes, or until a toothpick inserted in the middle comes out clean and the tops started to brown.