regulatim
From LSJ
ἐν δὲ μηνὸς πρῶτον τύχεν ἆμαρ → it chanced to be on the first of the month, that day fell on the first of the month
Latin > English (Lewis & Short)
rēgŭlātim: adv. id. II.,
I according to rule, regularly (late Lat.), Diom. p. 402 P.; Veg. Vet. 2, 41 fin.>
Latin > German (Georges)
rēgulātim, Adv. (1. regula), regelmäßig, Diom. 407, 3.