The genus _Amphispyris_ and the two following genera arising from it, represent together the peculiar small subfamily of Perispyrida. This may have originated directly from _Toxarium_ (family Tympanida, Pl. 88, fig. 1; Pl. 93, figs. 18-20), the large holes between its arches and rings becoming filled up by lattice-work; in _Amphispyris_ this intercalated network remains incomplete on the ventral and dorsal faces, whilst in _Tricolospyris_ it becomes complete, and in _Perispyris_ spongy. Subgenus 1. _Amphispyrium_, Haeckel. _Definition._--On each side of the ring-plane three pairs of large annular meshes; no middle zygomatic ring is developed between the two tympanic transverse rings (superior orbital and inferior maxillary ring). {1096}1. _Amphispyris thorax_, n. sp. (Pl. 88, fig. 4). Shell thorax-shaped, as long as broad, with a deep sternal incision and two slight transverse strictures. On each side of the ring-plane three pairs of large, irregular, annular holes of nearly equal size, the middle holes nearly half as broad as the shell. No zygomatic bars between the orbital and maxillary bars. Lateral lattice-girdle narrow, with few small roundish meshes. _Dimensions._--Shell 0.17 long, 0.17 broad, ring 0.06 long. _Habitat._--Central Pacific, Station 270, depth 2925 fathoms. 2. _Amphispyris quadrigemina_, n. sp. (Pl. 88, fig. 6). Shell shaped like the "corpora quadrigemina cerebralia," with two deep crossed strictures, a coronal transverse stricture and a sagittal sternal stricture. On each side of the ring plane three pairs of large, irregular, annular, double holes, the middle holes larger than the upper and lower holes, and about one-fourth as long as the shell. No zygomatic bars between the orbital and maxillary bars. Lateral lattice-girdle broad, with numerous small meshes. _Dimensions._--Shell 0.13 long, 0.16 broad, ring 0.07 long. _Habitat._--Central Pacific, Station 266, depth 2750 fathoms. 3. _Amphispyris reticulata_, Haeckel. _Dictyospyris reticulata_, Ehrenberg, 1872, Abhandl. d. k. Akad. d. Wiss. Berlin, p. 289, Taf. x. fig. 19. Shell thorax-shaped, one and one-fifth times as long as broad, with a deep sternal incision and two distinct transverse strictures. On each side of the ring-plane three pairs of large annular holes of nearly equal size, about one-third as long as the shell. No zygomatic bars between the orbital and maxillary bars. Lateral girdle narrow, with few large polygonal meshes. _Dimensions._--Shell 0.18 long, 0.15 broad. _Habitat._--Indian Ocean, Zanzibar, depth 2200 fathoms (Pullen). Subgenus 2. _Amphispyridium_, Haeckel. _Definition._--On each side of the ring-plane four pairs of larger annular meshes; a middle horizontal zygomatic ring is developed between the two tympanic transverse rings (superior orbital and inferior maxillary ring). 4. _Amphispyris sternalis_, n. sp. (Pl. 88, fig. 2).