The notion that rituals, like natural languages, are governed by implicit, rigorous rules led scholars in the last century, harking back to the early Indian grammarian Patanjali, to speak of a "grammar", or "syntax", of ritual, particularly sacrificial ritual. Despite insightful examples of ritual complexes that follow hierarchical rules akin to syntactic structures in natural languages, and ambitious attempts to imagine a Universal Grammar of sacrificial ritual, no single, comprehensive "grammar" of any ritual system has yet been composed. This book offers the first such "grammar." Centering on Σ-the idealized sacrificial system represented in the Priestly laws in the Pentateuch—it demonstrates that a ritual system is describable in terms of a set of concise, unconsciously internalized, generative rules, analogous to the grammar of a natural language. Despite far-reaching diachronic developments, reflected in Second Temple and rabbinic literature, the ancient Israelite sacrificial system retained a highly unchangeable "grammar," which is abstracted and analysed in a formulaic manner. The limits of the analogy to linguistics are stressed: rather than categories borrowed from linguistics, such as syntax and morphology, the operative categories of Σ are abstracted inductively from the ritual texts: —the study of the classes of animals used in ritual sacrifice; -the rules governing the joining of animal and non-animal materials; -the tiered structuring of sacrificial sequences; and —the analysis of the physical activity comprising sacrificial procedures. Finally, the problem of in non-linguistic ritual systems is addressed.