The 1984 Löve classification [reference] was part of a taxonomical revision of the Tribe Triticeae. Following a broad interpretation of the biological species concept, Löve defined genera by their unique genome constitution, either as genera of diploids or polyploids. Thus, Aegilops was split into 13 genera, each corresponding to either a diploid genome grouping or polyploid genome cluster. The classification is presented here with corrections in authority citations.
| Genus Aegilemma Á. Löve | [US genomes] | |
| Aegilemma kotschyi (Boiss.) Á. Löve | ||
| Aegilemma peregrina (Hackel in J.Fraser) Á. Löve | ||
| subsp. peregrina | ||
| subsp. cylindrostachys (Eig & Feinbrun) Á. Löve | ||
| Genus Aegilonearum Á. Löve | [DMU genomes] | |
| Aegilonearum juvenale (Thell.) Á. Löve | ||
| Genus Aegilopodes Á. Löve | [UC genomes] | |
| Aegilopodes triuncialis (L.) Á. Löve | ||
| subsp. triuncialis | ||
| subsp. persica (Boiss.) Á. Löve | ||
| Genus Aegilops L. | [UC genomes] | |
| Aegilops columnaris Zhuk. | ||
| Aegilops geniculata Roth | ||
| subsp. geniculata | ||
| subsp. globulosa (Zhuk.) Á. Löve | ||
| Aegilops lorentii Hochst. | [synonymous] | |
| subsp. lorentii | ||
| subsp. archipelagica (Eig) Á. Löve | ||
| subsp. pontica (Degen) Á. Löve | ||
| Aegilops ovata L. | [ambiguous] | |
| Aegilops recta (Zhuk.) Chennav. | [UMN genomes] | |
| Genus Amblyopyrum (Jaub. & Spach) Eig | [T genome] | |
| Amblyopyrum muticum (Boiss.) Eig | ||
| subsp.muticum | ||
| subsp.loliaceum (Jaub. & Spach) Á. Löve | ||
| Genus Chennapyrum Á. Löve | [N genome] | |
| Chennapyrum uniaristatum (Vis.) Á. Löve | ||
| Genus Comopyrum (Jaub. & Spach) Á. Löve | [M genome] | |
| Comopyrum comosum (Sm. in Sibth. & Sm.) Á. Löve | ||
| subsp. comosum | ||
| subsp. heldreichii (Holzm. ex Boiss.) Á. Löve | ||
| Genus Cylindropyrum (Jaub. & Spach) Á. Löve | [CD genomes] | |
| Cylindropyrum cylindricum (Host) Á. Löve | ||
| subsp. cylindricum | ||
| subsp. pauciaristatum (Eig) Á. Löve | ||
| Genus Gastropyrum (Jaub. & Spach) Á. Löve | [DX / DXX genomes] | |
| Gastropyrum crassum (Boiss.) Á. Löve | [DM genomes] | |
| Gastropyrum glumiaristatum (Eig) Á. Löve & P.E. McGuire | [DMM genomes] | |
| Gastropyrum vavilovii (Zhuk.) Á. Löve | [DMS genomes] | |
| Gastropyrum ventricosum (Tausch) Á. Löve | [DN genomes] | |
| Genus Kiharapyrum Á. Löve | [U genome] | |
| Kiharapyrum umbellulatum (Zhuk.) Á. Löve | ||
| subsp. umbellulatum | ||
| subsp. transcaucasicum (Dorof. & Migush.) Á. Löve | ||
| Genus Orrhopygium Á. Löve | [C genome] | |
| Orrhopygium caudatum (L.) Á. Löve | [ambiguous] [2] | |
| Genus Patropyrum Á. Löve | [D genome] | |
| Patropyrum tauschii (Cosson) Á. Löve | ||
| subsp. tauschii | ||
| subsp. salinum (Zhuk.) Á. Löve | ||
| subsp. strangulatum (Eig) Á. Löve | ||
| Genus Sitopsis (Jaub. & Spach) Á. Löve | [S genome] | |
| Sitopsis bicornis (Forsskĺl) Á. Löve | ||
| Sitopsis longissima (Schweinf. & Muschl. in Muschl.) Á. Löve | ||
| Sitopsis searsii (Feldman & Kislev ex K.Hammer) Á. Löve | ||
| Sitopsis sharonensis (Eig) Á. Löve | ||
| Sitopsis speltoides (Tausch) Á. Löve |