This paper is aimed at uncovering a unifying computational grounding beneath a diverse range of cases of quantificational scope effects both within and across languages. Since quantificational scope readings are quite variable and interspersed with issues of modularity and interfaces of grammar, an underlying and universal generalization is certainly hard to come by. Research on quantification is not new at all; studies and research done on quantification have not yet been able to arrive at a useful but universally valid and satisfactorily unified account of how quantificational readings are derived at all, let alone computationally. Here in this paper, a preliminary sketch of a unified three-tier computational model will be drawn up to show how quantificational scope readings across languages can be computed and derived. For this purpose, principles drawn from recent derivational accounts of quantificational scope will be aligned properly to eliminate their incompatibilities with each other. © 2010 by Prakash Mondal.