Three types of deterministic weighted generalized Farey organized network pyramids(so-called WGFONP-1,WGFONP-2, WGFONP-3) are constructed, and the topological characteristics (degree distribution, average path length, clustering coefficient, assortative coefficient and so on) of network pyramids are studied by theoretical and numerical analyses. Using Farey sequence as determinacy, randomicity and hybrid weights of network nodes, we calculate and fit the strength distribution and the weight distribution of the network pyramids, as well as tentatively reveal the complexities and the diversities of the WGFONP-1,WGFONP-2 and WGFONP-3. These results can conduce to the understanding of complexities and diversities of a number of practical networks.