This genus is established by Grice and Hulsemann to include three females (males being unknown) determining each one three different species. In 1967, the male of D. inflatus was described as well as a second male not identified to one of the known species. The authors regard this genus as belonging to the family Augaptilidae, followed by Matthews (1972). Fosshagen (1967) estimates that the characteristics of the females hardly allow a such a classification. Gordeeva (1974 a and b) described several new species and creates in 1975 two new genera which are included in the new family of Discoidae.
Andronov & Kosobokova (2011, p.38) transfer 4 species earlier in the genus Disco within a new genus Pertsovius which includes henceforth 7 species.
Type: Disco inflatus Grice & Hulsemann, 1965. Total: 18 spp. + 1 unspecified.

Diagnosis after Bradford-Grieve (1999 b, p.69) :
- As in the family definition.
- Small copepods generally less than 1 mm in length.
- Rostrum large and obtusely rounded or absent.
- Anal segment longer than the preceding segment.
- A1 17-26-segmented; of a reduced number of segments in male left geniculate.
- A2 endopod about 2/3 the length of exopod which is 6-8 segmented; distal segment of exopod equals approximately 1/2 the length of entire exopod.
- Md endopod usually longer than exopod; blade with spine-like teeth.
- Mx1, Mx2 and Mxp with varying degrees of reduction.
- Male Mx1, Mx2 and Mxp slightly reduced compared with female.
- P1 endopods usually 2-segmented, sometimes 1-segmented.
- P2-P3 endopod usually 3-segmented but may have all segments fused.
- Female P5 rudimentary or absent.
- Male P5 uniramous or biramous.

Type: Paradisco gracilis Gordeeva, 1975. Total: 4 spp.

Diagnosis after Bradford-Grieve (1999 b, p.69) :
- As in the family definition.
- Small copepods < 1 mm.
- Rostrum 1-branched, tapering, rounded at tip or with a small excavation.
- Anal segment slightly longer than previous segment or nearly equal to it.
- A1 comparatively long, 26-segmented, extending to the middle of genital segment.
- A2 endopod long about 2/3 yje length of exopod; exopod usually bullt - the 2-segmented distal part is articulated and movable with the proximal part, the terminal segment is short, equal to only 1/3 the length of the whole exopod.
- Md with thorn-like teeth; endopod of palp nearly equal to length of exopod, its terminal segment in the form of a wide lobe.
- Mx1 with 3-5 setae on 1st inner lobe.
- Mx2 with 5 lobes on basipod, carrying long flatly lying setae, and a reduced endopod with smooth setae.
- Mxp with a reduced number of setae on the inner border, setae normal, low-lying.
- All swimming legs with endopods 3-segmented.
- Female P5 rudimentary, symmetrical, 1-3-segmented.
- Male P5 strongly modified, biramous, asymmetrical, right and left legs slightly different in length.

Type species: Pertsovius tridentatus Andronov & Kosobokova, 2011. Total: 7 spp.

Type: Prodisco princeps Gordeeva, 1975. Total: 2 spp.

Diagnosis after Bradford-Grieve (1999 b, p.69) :
- As in the family definition.
- Small copepods <0.5 mm.
- Body compact, similar to some representatives of the Cyclopoida.
- Close yo the genus Disco, but differs in the form of genital segment, small number of exopodal segments in A2, and the strongly extended posterior corners of the last metasomal segment.
- Head and pedigerous segment 1 separate, pedigerous segments 4 and 5 fused.
- Rostrum in the form of a plate, rounded at its tip, or absent.
- Urosome female 4-segmented; genital segment large, long, with lateral sac-like outgrowths extending ventrally, in which the genital products are stored.
- Anal segment longer than preceding segment and caudal rami.
- Caudal rami carry 4 terminal setae of different lengths.
- ,A2 endopod equal to 2/3 the length of exopod, male from 4 segments, distal segment a little less than half the length of whole exopod.
- Md palp endopod not much longer than exopod.
- Mouthparts and their ventral expression strongly reduced.
- Swimming legs with their exopods 3-segmented.
- Endopod on P1 2-segmented, on other leg 3-segmented; inner border of exopod segment 3 of P1 with 4 setae, of P2-P4 with 5 setae.
- P5 female absent; rudimentary in the male.