Final answer:
The religious festival patterned after the Homeric Hymn to Demeter is the Eleusinian Mysteries, which involved a mystic drama that reflected the myth of Demeter and Persephone, ending with a celebration of agricultural fertility and rejoicing.
Step-by-step explanation:
The religious festival patterned after the Homeric Hymn to Demeter is the Eleusinian Mysteries. This festival was a significant event in ancient Greek religion and involved rituals, fasting, and processions. According to the foundational myth expressed in the Homeric Hymn, Demeter's daughter Persephone was kidnapped by Hades, leading Demeter on a quest that ended with the promise of agricultural bounty and a better afterlife once Persephone was returned to her.
The Eleusinian Mysteries included a typology of 'mystic drama' acted by the Eleusinian clergy and initiates, which paralleled the myth of Demeter and Persephone. Specific aspects of the festival such as the search for Persephone, the revelation of her return, and the ensuing jubilation reflected the narrative laid out in the Homeric Hymn. This drama promised the fertility of the land and a joyous ending symbolized through 'rejoicing and brandishing of torches' by the initiates.