We analyze the interrelationships of the higher (Pecoran) ruminants, and suggest possible relationships between these families and the various genera of the polyphyletic assemblage “Gelocidae.” We also review the developmental processes of the cranial appendages of the living homed ruminant families, and conclude that giraffid ossicones, bovid horns, and cervid antlers cannot be considered to be homologous with each other. The characters that have been used in the past and in this paper to distinguish pecoran families are discussed and