Cranberry Sorbet

Preparation Boil cranberries, 2 cups water, and 1/2 cup sugar in a 5- to 6-quart heavy pot, stirring occasionally, until cranberries have burst, about 15 minutes. Purée cranberry mixture in batches in a blender until as smooth as possible (use caution when blending hot liquids). Force through a medium-mesh sieve into a bowl, discarding solids, and chill, covered with plastic wrap, until cold, about 2 hours. Bring remaining 3 cups water and remaining 2 cups sugar to a boil in a 2-quart saucepan, stirring until sugar is dissolved, then remove from heat and cool syrup 30 minutes. Stir together cranberry purée, sugar syrup, and citrus juices and freeze in ice cream maker. Transfer to an airtight container and freeze until hardened, at least 2 hours. Cooks' note:Sorbet keeps 1 week.

Preparation Boil cranberries, 2 cups water, and 1/2 cup sugar in a 5- to 6-quart heavy pot, stirring occasionally, until cranberries have burst, about 15 minutes. Purée cranberry mixture in batches in a blender until as smooth as possible (use caution when blending hot liquids). Force through a medium-mesh sieve into a bowl, discarding solids, and chill, covered with plastic wrap, until cold, about 2 hours. Bring remaining 3 cups water and remaining 2 cups sugar to a boil in a 2-quart saucepan, stirring until sugar is dissolved, then remove from heat and cool syrup 30 minutes. Stir together cranberry purée, sugar syrup, and citrus juices and freeze in ice cream maker. Transfer to an airtight container and freeze until hardened, at least 2 hours. Cooks' note:Sorbet keeps 1 week.