In a medium-sized pot, combine the cranberries, sugar, and water. Stir to blend. Bring the mixture to a boil over medium heat. Reduce to a simmer and add the cinnamon stick, allspice, and nutmeg. Stir to blend and simmer for an additional 5-7 minutes. (Some of the cranberries will burst and some will remain whole.) Add the orange juice and zest, stir, and remove from heat. Allow to cool before serving.