I show that for high temperature ceramic cuprates there is a smooth master curve T-c(max)(< R >) for the highest superconductive transition temperatures T-c's as a function of the average number < R > of Pauling resonating bonds/atom in the parent (undoped) insulator. The existence of such an < R >-dependent optimized T-c is suggested by analogies with the microscopic theory of optimized molecular glass networks (such as window glass). The chemical model is part of a larger nanoscopically mixed multiphase structural model that also explains the canonical cuprate phase diagrams, as well as recent dynamical fs pump/ps probe optical relaxation experiments. (C) 2007 Elsevier B.V. All rights reserved.