In this work, we make clear that with a definition of electronegativity as the average energy of valence electrons (a definition related but not equal to that of Allen ) we allow for a perspective in which atoms within molecules and materials can have different electronegativities. This premise is at odds with the electronegativity equalization postulate of Sanderson, which holds true only when electronegativity is defined as the negative of the chemical potential. Our analysis is enabled by the theoretical framework EQC, which is intended to encompass and connect useful concepts within theoretical chemistry and physics. Analogies and differences between EQC and CDFT are discussed, and we stress the complementarity of these two approaches.