In the past decade, the field of Tangible Interaction (TI) has gained significant interest. As a result, numerous systems, theories and frameworks have been developed with this vision in mind. This has led to various instantiations of TI that seem developed to make digital information tangible, rather than to optimally use and combine all important qualities of TI. We believe that TI has more to offer than what has been used advantageously so far. Therefore, this paper reflects on the foundations of TI and identifies three qualities of control and representation in TI based on existing systems, theories and frameworks.