Additional whitening agents include anti-tartar/anti-calculus agents, including phosphates such as pyrophosphates, polyphosphates, polyphosphonates (e.g., ethane-1-hydroxy-1,1-diphosphonate, 1-azacycloheptane-1,1-diphosphonate, and linear alkyl diphosphonates), and salts thereof; linear carboxylic acids; and sodium zinc citrate; and mixtures thereof.