The first season of the ancient Egyptian calendar was Akhet (appearance). This was the season in which the inundation occurred, and so it was dedicated to Hapi. it was hoped that he would ensure that the flood was not too low (resulting in a poor harvest) or too high (resulting in the destruction of mud-brick houses and paths built near to the Nile).
The inundation was also associated with the star Sirius because the star re-appeared (after a seventy day absence) at the new year heralding the flood. The star was associated with Sopdet (Sothis), Satet (Satis) and Isis .
The inundation was a quiet time for farmers as the fields were largely submerged. To earn tax relief (tax was a proportion of the food they produced) they could take on other jobs for the state. For example, during the Old Kingdom farmers could help with the construction of monuments such as the pyramids in return for living expenses and a tax rebate.
1; Tekh (Thoth, Thuti, Thout, Djwhty)
2; Menhet (Phaophi, Baba)
3; Hwt-Hru (hathor, Athyr)
4; Ka-Hr-Ka (Nehebkau, Khoiak)