Ingredients

1/2 cup milk, warmed to 115 degrees, plus 1 tablespoon 

1/2 cup water, warmed to 115 degrees 

2 tablespoons packed light-brown sugar 

1 package active dry yeast (1 scant tablespoon) 

4 large egg yolks 

1 1/2 teaspoons salt 

3 tablespoons unsalted butter, melted, plus more for tin 

1 cup stone-ground yellow cornmeal 

2 cups all-purpose flour, plus more for dusting 

Vegetable oil, for bowl 

8 tablespoons (1 stick) unsalted butter, slightly softened 

1/2 cup honey 

Pinch of salt 

Preparation

With a wooden spoon, stir warm milk, warm water, and sugar in the bowl of an electric mixer. Sprinkle yeast on top; let stand until foamy, about 10 minutes.

Fit mixer with the dough hook. Add 3 egg yolks, the salt, butter, cornmeal, and flour to yeast mixture. Mix on low speed. Raise speed to medium; mix until dough is tacky but doesn’t stick to fingers, 6 to 8 minutes. Transfer to a large oiled bowl, and loosely cover with plastic wrap.

Let dough rise in a warm spot until doubled in bulk, about 30 minutes.

Preheat oven to 400 degrees. Butter 12 cups of a standard muffin tin. On a lightly floured work surface, divide dough into 12 equal pieces. Roll into balls; transfer to tin. Loosely cover with plastic wrap. Let dough rise until doubled in bulk, about 20 minutes.

Whisk together remaining yolk and tablespoon milk; brush over dough. Bake until just golden, 15 to 20 minutes.

Meanwhile, make honey butter: Put butter in the bowl of an electric mixer fitted with the paddle; mix on medium-high speed until smooth. On low speed, add honey in a slow, steady stream. Mix in salt. Serve with muffins.