Preparation Preheat oven to 400°F with rack in middle. Melt butter in a 12-inch nonstick skillet. Brush a 9-inch cake pan (2 inches deep) with 1 tablespoon melted butter and reserve 6 tablespoons in a small bowl. Sprinkle sugar evenly over butter remaining in skillet. Arrange pears, cut sides up, in skillet and sprinkle with 1/8 teaspoon nutmeg. Cook over medium heat 5 minutes, then turn pears over and sprinkle with 1/8 teaspoon nutmeg. Cook until liquid pears give off has evaporated and cut sides are lightly browned, 8 to 10 minutes more. Transfer pears, cut sides down, to cake pan. Whisk together flour, cornmeal, baking powder, baking soda, salt, and remaining 1/4 teaspoon nutmeg in a bowl. Whisk in milk, syrup, eggs, and reserved butter just until smooth. Pour over pears and bake until golden and a wooden pick inserted in center of cake comes out clean, 25 to 30 minutes. Cool in pan on a rack 15 minutes, then run a knife around edge of cake to loosen and invert onto a platter.
Preparation Preheat oven to 400°F with rack in middle. Melt butter in a 12-inch nonstick skillet. Brush a 9-inch cake pan (2 inches deep) with 1 tablespoon melted butter and reserve 6 tablespoons in a small bowl. Sprinkle sugar evenly over butter remaining in skillet. Arrange pears, cut sides up, in skillet and sprinkle with 1/8 teaspoon nutmeg. Cook over medium heat 5 minutes, then turn pears over and sprinkle with 1/8 teaspoon nutmeg. Cook until liquid pears give off has evaporated and cut sides are lightly browned, 8 to 10 minutes more. Transfer pears, cut sides down, to cake pan. Whisk together flour, cornmeal, baking powder, baking soda, salt, and remaining 1/4 teaspoon nutmeg in a bowl. Whisk in milk, syrup, eggs, and reserved butter just until smooth. Pour over pears and bake until golden and a wooden pick inserted in center of cake comes out clean, 25 to 30 minutes. Cool in pan on a rack 15 minutes, then run a knife around edge of cake to loosen and invert onto a platter.