Granita refers to ices that are served by scraping a fork across the surface and serving the scrapings in a bowl.
6 cups cubed honeydew melon (about half of a medium melon)
1/3 cup sugar
1/4 cup fresh lime juice
3 cups seltzer
Lime peels, for garnishing
Working in batches, puree 6 cups cubed honeydew melon in a blender. Pour puree through a fine sieve into an 8-inch square glass or plastic dish.
Put 1/2 cup water and sugar into a small saucepan. Bring to a boil over medium-high heat, stirring until sugar has dissolved. Stir into puree. Add fresh lime juice; stir to combine. Freeze, covered, at least 6 hours (up to 3 days).
Scrape granita with a fork; spoon about 1 cup granita into each of 6 glasses. Pour 1/2 cup seltzer into each glass; garnish with lime peels.