© 2017, The Author(s). We discuss the generation of small neutrino masses from d = 7 1-loop diagrams. We first systematically analyze all possible d = 7 1-loop topologies. There is a total of 48 topologies, but only 8 of these can lead to “genuine” d = 7 neutrino masses. Here, we define genuine models to be models in which neither d = 5 nor d = 7 tree-level masses nor ad = 51-loop mass appear, such that the d = 71-loop is the leading order contribution to the neutrino masses. All genuine models can then be organized w.r.t. their particle content. We find there is only one diagram with no representation larger than triplet, while there are 22 diagrams with quadruplets. We briefly discuss three minimal example models of this kind.