In this paper, we argue for the existence of two local domains (phases, cf. Chomsky 2001; 2009; Legate 2003, among others) inside the DP: the n*-phase, parallel to the vP (as in Svenonius 2004), and the d*-phase, parallel to the CP. Two acknowledged phasal properties are discussed. (i) The n*/d*-phases define their own peripheries: peripheries are essentially modal-quantificational spaces, as shown by the decomposition of Topic—Focus features recently proposed (Butler 2004; McNay 2005; 2006). (ii) Phases are assumed to be domains of linearization: after (internal or external) merge, syntactic objects are hierarchical, but not linear, so phases must be linearized before they are sent to PF. The distribution and interpretation of DP-internal adjectives is taken to be indicative of these two domains.