Final answer:
The initiatory ritual for ancient mystery traditions such as the Eleusinian, Dionysiac, and Samothracian Mysteries was a complex event involving purification, dramatic enactments, and a vow of secrecy by the participants. Items like a purple fillet, linen robe, or ring were given during the ceremony, symbolizing various stages of initiation.
Step-by-step explanation:
The initiatory ritual used to install Phi and Gamma Chapters was referred to as an initiation ceremony, which was part of various ancient mystery traditions such as the Eleusinian, Dionysiac, and Samothracian Mysteries. These initiation ceremonies were complex events that often included several stages, and dealt with themes such as purification, death, rebirth, and the revelation of sacred objects or knowledge. The initiate would undergo a sequence of rituals that often started during the day, with the actual initiation usually taking place at night, which was a common practice for such ancient Mysteries. These rituals were highly secretive, with participants sworn to silence about what they experienced or witnessed.
During the ceremony, initiates might receive objects of symbolic importance such as a purple fillet, a linen robe, or a ring, each carrying a specific significance within the context of the ritual. Records of one's initiation might be made in the form of inscriptions as testimony to their piety and for remembrance by future generations. Spectacles of fire, pronouncements of birth, and other dramatic enactments often marked the culmination of the ritual.
It should be noted that the exact details of the initiation rituals from these ancient practices remain a subject of scholarly reconstruction due to the secret nature of these rites. The Eleusinian Mysteries, for instance, were particularly noted for their secrecy and the profound impact they had on participants, culminating in the final stage of the epopteia or 'Viewing'.