Start by peeling the honeydew melon and removing the seeds, then cut it into smaller cubes. Peel the Meyer lemons and quarter them, discarding any seeds.

Place honeydew melon cubes, lemon quarters, and basil leaves into a juicer. Juice at medium speed until smooth, collecting the juice in a container.

If you don't have a juicer, combine the honeydew melon, lemon, and basil leaves in a blender. Blend until smooth, then strain the juice through a fine mesh strainer.

Pour the juice into a pitcher or jars, stirring well. Serve over ice cubes or refrigerate for 30 minutes before serving.

For a bubbly twist, mix in sparkling water for a refreshing agua fresca or use the juice as a base for cocktails.