TL;DR: Payena as a genus was created by Alphonse De Candolle in his Prodromus Systematis Naturalis Regni Vegetabilis in 1844 and is to be considered a genus in the neighbourhood of Palaquium (a group with the parts of calyx and corolla isomerous), and Bassia and Azaola are considered synonymous to Madhuca.
Abstract: Payena as a genus was created by Alphonse De Candolle in his Prodromus Systematis Naturalis Regni Vegetabilis in 1844. He commemorated in it the French chemist A. Payen (1795—1871) in Paris. De Candolle placed in it the species Mimusops lucida, first described by G. Don; the latter employed this nomen nudum used by Wallich in his List of specimens in the East India Company’s Museum (1858). The famous Swiss botanist characterized the new genus by the following diagnosis on page 196: “Calyx 4-partitus (nec 8-partitus, ut dixit cl. G. Don), lobis ovatis, obtusis extus et margine puberulis, 2 exterioribus latioribus. Corolla 8-fida, basi tubulosa, superne campanulata, calyce vix longior; lobis 2 ante lobum quemque calycis, ovato-acutis, glabris. Stamina 8, tubo corollae prope faucem inserta, lobis opposita, denticulis interjectis. Filamenta brevissima. Antherae lanceolatae, angulosae, inclusae, filamento multo longiores, connectivo in acumen obtusiusculum carnosum producto, loculis subextrorsis, longitudinaliter dehiscentibus. Ovarium hirsutum, 8-loculare. Stylus rectus, glaber, calyee duplo longior, apice obscure dentatus. Ovula 8, ovoideo-angulosa, acuta, deinde ovoidea, ex angula superiore cujusve loculi pendentia. Fructus ign. — Frutex? aut arbuscula? foliis ellipticis, basi subacutis, apice obtuse acuminatis, glaberrimis, superne nitidis, subtus pallidioribus; pedicellis 1—3 ex axillis foliorum superiorum, petiolo duplo longioribus, erectis, pilis minimis adpressis subpubescentibus. —” He placed it between Isonandra and Bassia and “perhaps near Azaola” (“forsanque Azaolae proximum”). Today Isonandra is to be considered a genus in the neighbourhood of Palaquium (a group with the parts of calyx and corolla isomerous), and Bassia and Azaola are considered synonymous to Madhuca. De Candolle, while correcting the evident mistake of Don concerning the number of parts of the calyx, makes himself another by saying “Stamina 8...” (see under P. lucida).
TL;DR: It is the impression that Aesandra is to be maintained as a separate genus of the Madhuceae, and the only species is A. dongnaiensis Pierre, 1890.
Abstract: For many years the monotypical genus Aesandra was incorporated in Payena (vide Lam 1925, 1927) or Madhuca (Bassia sensu Lecomte, 1930). Revising the genus Payena we came across specimens, that did not fit in the diagnosis of either genus; it appeared that the specimens in question showed a mixture of the characters of both Payena and Madhuca, and also some characters of their own. These we found to belong to what has been described as Aesandra. The only species is A. dongnaiensis Pierre, 1890. It is our impression that Aesandra is to be maintained as a separate genus of the Madhuceae (cf. Lam, Rec. Trav. Bot. Neerl. 36, 1939, 525).
We examined material from the following herbaria: British Museum (Natural History) at London (BM), Rijksherbarium at Leiden (L) and Museum National d’Histoire Naturelle, Phanerogamie, at Paris (P) and are very much obliged to the authorities of these institutes for the loan of specimens and the hospitality enjoyed during our stay in 1955 at Paris and London.
TL;DR: The genus Payena has alternate and distichous leaves, tertiary venation parallel to lateral veins which descend from the margin, and the embryo with foliaceous cotyledons and copious endosperm, whereas Madhuca nearly always has spirally-arranged leaves.
Abstract: Summary. Five new species of Payena are described from Borneo: R ferruginea, P grandistipula, P kapitensis, P khoonmengiana and P kinabaluensis. P obscura Burck var. havilandii (King & Gamble) J. T. Pereira is a new combination. Notes on variation within R acuminata (Blume) Pierre and P microphylla (de Vriese) Pierre are provided. P lowiana and P glabra are reduced to synonymy under P lucida (Wall. ex G. Don) A. DC. P endertii H. J. Lam and P lucida (Wall ex G. Don) A. DC. are excluded from Borneo. A key to the Bornean species of Payena is provided. Payena has alternate and distichous leaves, tertiary venation parallel to lateral veins which descend from the margin, and the embryo with foliaceous cotyledons and copious endosperm, whereas Madhuca nearly always has spirally-arranged leaves, tertiary venation oblique or reticulate, rarely parallel and descending, and usually thick and flat cotyledons, and no endosperm or only a thin sheath. There is no comprehensive revision of Payena for Borneo, although Merrill (1921) and Masamune (1942) provided an enumeration of the Bornean species. For Peninsular Malaysia, the genus was treated by King & Gamble (1906), Ridley (1923) and Ng (1972). The papers of Lam (1925, 1927) are also important references for the genus Payena. In this revision of the genus for the Tree Flora of Sabah and Sarawak, all taxa in Borneo have been reviewed and 12 species are recognized, of which five are new. Two species, P endertii H. J. Lam and R lucida (Wall ex G. Don) A. DC. (the latter including P lowiana Pierre), previously recorded from Borneo, are now excluded. The subdivision into varieties of P acuminata (Blume) Pierre has been found impractical. Of the Bornean species, eight are endemic. Of these, P grandistipula, P kapitensis and P lamii are restricted to Sarawak, P gigas, P khoonmengiana and P kinabaluensis are endemic to Sabah, and P ferruginea and P microphylla are common throughout Borneo.