Combine cranberries, vinegar, water, sugar, ginger, and cinnamon in a medium saucepan. Bring to a boil over medium-high heat. Reduce heat and simmer until berries start to break down, 10 to 15 minutes; cool completely. Strain through a fine wire- mesh strainer, mashing mixture to release liquid; discard solids and chill. To serve, pour 1 oz. over ice and top with club soda.