Melon Granita Trio

In a blender, puree the watermelon with the sugar, lime juice and cayenne, if using. Pour the puree into a shallow plastic container and freeze until frozen around the edges and slushy in the center, about 30 minutes. In a small saucepan, stir the water and sugar over low heat just until the sugar melts. Let cool, then transfer the syrup to a blender. Add the honeydew and lemon juice and cinnamon, if using, and puree. Transfer the puree to a shallow plastic container and freeze until frozen around the edges and slushy, about 30 minutes. In a small saucepan, combine the water and sugar and stir over low heat just until the sugar melts. Let cool, then transfer the syrup to a blender. Add the cantaloupe and lemon juice and puree until smooth. Transfer the puree to a shallow plastic container and freeze until frozen around the edges and slushy, about 30 minutes. Using a fork, stir the granitas every 20 minutes or so, until they're completely frozen into a mass of fluffy icy shards, about 1 1/2 hours. Just before serving, fluff each granita. Scoop into bowls and serve. If the granitas become solid, chop into chunks and puree until fluffy.