This is the latest of a series of papers on the generative deep structures of kinship terminologies by Dwight Read, which considerably widens the spectrum of methods and concepts employed hitherto. I will therefore discuss it in the context of Read’s more general project to develop a theory and typology of kinship terminologies based on the process of their generation, by concentrating on three main arguments: (1) the newly introduced difference between symmetric and asymmetric deep structures; (2) the use of cross-sex kin terms as gender-switch operators; and (3) the interpretation of generational skewing as an effect of generative asymmetry.