A Greek funeral moved the dead out of the house of the living in three steps, and the steps were named because each carried a different obligation.
The prothesis was the display. The body was washed, anointed with oil, dressed and laid on a bier with the feet toward the door, usually for a single day. This was work for the women of the household, and so was the lament sung over the body, which was performed rather than merely felt: the vase paintings show mourners with both hands raised to the head in a fixed gesture, and the poetry preserves the antiphonal structure of the singing.
The ekphora was the removal, before first light in classical Athens, with the body carried or driven to the burial ground outside the walls. The Greeks kept their dead outside the city, and the road out of a Greek town, like the road out of a Roman one, ran between graves.
Then came the disposal, cremation or inhumation according to period and place, and the offerings poured at the grave: wine, oil, milk and honey, given on the day and again on set days afterward, and once a year at the general commemoration of the dead.
Running through all of it was miasma, the pollution a death put on a household. It was not sin and not contagion. It was a state that had to be marked and then discharged, and a house in it announced the fact by setting a water vessel outside the door, filled from somebody else's supply.