Preheat oven to 450 degrees. Combine granulated or brown sugar, salt, cornstarch, cinnamon and nutmeg. Sprinkle half the sugar mixture over bottom of crust in pie plate. Arrange apples over sugar mixture. Sprinkle remaining sugar mixture over apples.
Dot apples with butter.
Roll out other half of pie dough to 15-inch circle. Fold the circle in half to cut decorative vents in crust, then unfold and drape over a rolling pin to gently lay crust over top of apples. Trim crust beyond edge of pie plate. Tuck excess under edge of bottom crust and crimp closed. Brush crust all over with milk and sprinkle with sugar.