Mulled Apple Cider Granita

yield: Makes about 1 1/4 quarts

6 cups unpasteurized apple cider
a 3-inch cinnamon stick and/or mulling spices
1/3 cup sugar
2 teaspoons strained fresh lemon juice

In a large saucepan combine the cider, the cinnamon stick (I used a mixture of cinnamon sticks, allspice, orange zest, and cloves), the sugar, and a pinch of salt and boil the mixture for 5 to 10 minutes, or until the liquid is reduced to about 4 cups. Stir in the lemon juice, strain the mixture through a fine sieve into a bowl, and chill it, covered, until it is cold. Freeze the mixture in an ice-cream freezer according to the manufacturer's instructions if you want to make sorbet, or freeze and scrape with a fork for granita.