A short enantioselective synthesis of 6-substituted cis-2,8-dioxabicyclo[3.3.0]octan-3-ones is described. The pivotal step is coupling of a tertiary radical generated directly from a tertiary alcohol with a 3-chloro-5-alkoxybutenolide. This strategy is applied toward scalable 14-15 step syntheses of three rearranged spongian diterpenoids: cheloviolenes A and B and dendrillolide C.