In recent years, Reichenbach’s 1920 conception of the principles of coordination has attracted increased attention after Michael Friedman’s attempt to revive Reichenbach’s idea of a “relativized a priori”. This paper follows the origin and development of this idea in the framework of Reichenbach’s distinction between the axioms of coordination and the axioms of connection. It suggests a further differentiation among the coordinating axioms and accordingly proposes a different account of Reichenbach’s “relativized a priori”.