Step 1

Adjust oven rack to middle position and preheat to 350°F. Lightly grease a 12-cup muffin pan. Whisk butter, sugar, and salt in large bowl until light and creamy. Whisk in eggs until combined. Whisk in honey and milk.

Step 2

Add cornmeal, flour, and baking powder to the bowl, then whisk until combined. Pour batter into muffin cups and bake until golden and set, about 20 minutes. Let muffins cool in pan for 10 minutes, then remove from pan to cool on wire rack (see note).

Step 3

To make the honey butter, stir softened butter and honey until combined. Serve.