3 cup whole milk ½ cup uncooked pearl barley ¼ cup granulated sugar or honey 1 2-inch piece fresh ginger, peeled and grated (2 teaspoons packed) 1 cinnamon stick ¼ teaspoon freshly grated nutmeg Pinch kosher salt ½ of a vanilla bean 2 egg yolks ½ teaspoon ground turmeric ½ cup packed dark brown sugar 1 1/2-inch piece fresh ginger, peeled and grated (1/2 teaspoon packed) ⅓ cup chopped pitted Medjool dates ¼ teaspoon salt