Setiechinopsis Backeberg, Cactus and Succulent Journal [U. S. ] 22: 153, 1950

Setiechinopsis mirabilis (Spegazzini) Backeberg ex de Haas, Succulenta, 22. 9; cf. Gray Herb. Card Cat., 1940

Setiechinopsis mirabilis v. gracilior Backeberg, Descr. Cact. Nov. 3: 14., 1963