Pulse cranberries in a blender or food processor 4 or 5 times or until coarsely chopped; transfer to a large bowl. Pulse orange wedges 4 or 5 times or until coarsely chopped. Stir pecans, next 3 ingredients, and oranges into cranberries. Serve relish immediately.
Note: To make ahead, prepare as directed, omitting pecans. Cover and chill up to 2 days. Add pecans just before serving.