Superphylum Deuterostomia Grobben, 1908 - deuterostomes see Infrakingdom Deuterostomia Grobben, 1908
   Phylum Chordata Bateson, 1885 - chordates
     Subphylum Craniata auct. see Subphylum Vertebrata Cuvier, 1812
       Vertebrata (Lamarck, 1801) - vertebrates see Subphylum Vertebrata Cuvier, 1812
         Myopterygii - myopterygians
           Superclass Gnathostomata Gegenbaur, 1874 - jawed vertebrates
             Grade Teleostomi Bonaparte, 1836
               Class †Acanthodii Owen, 1846
                 Order †Climatiiformes Berg, 1940 [paraphyletic?]
                   1 Genus †Nostolepis Pander, 1856, incertae sedis
                   2 Family †Climatiidae Berg, 1940
                   3 Family †Culmacanthidae Long, 1983
                   4 Family †Diplacanthidae Woodward, 1891
                   5 Family †Gyracanthidae Woodward, 1906
                   6 Family †Euthacanthidae Berg, 1940