The Ancient Mysteries of Greece

  Mystery religions existed in Ancient Greece, but by then, they would have been considered "Old Tyme Religion". The philosophers didn't think much of them and the promises they made of immortality in death, but they offered something else too. The ability to become one with your deity or mythic figure. Mostly, these figures were demi-human. Orpheus, as an example, had a mystery school. The only thing that survives to modern day are the initiations of the Freemasons and all that which was derived from it. We also have occult practices that engage in this sort of intentional ritual combat to connect one's self to a higher power. In the case of the Abramelin, you want to gain contact with your Guardian Angel. The Freemasons re-enact the sacred story of Hiram Abiff, the mythical architect of the Holy Temple in Jerusalem.

It is extremely likely that the schools revolved around trades. The Masonic school would have been a closed circuit to all but Masons until the order was opened up to others. The Masons taught things like sacred geometry because those things are very interesting to Masons. The initiation would have likely taken place when a young man was ready to commit to the trade of masonry. So, think late teens and early 20's traditionally.

The Greek mystery schools would have likely draw older adults who were in need of a psychic transformation. The idea was that they would die to their former selves and be reborn with a psychic fresh start. The details of the schools were kept entirely secret and nothing remains. But we know that those who paid to have these rituals performed would, like the Freemasons, relive the story of the mythological figure. So, with Orpheus, you would have to relive that tragedy. The idea was to simulate it and connect yourself with the gifts of the demi-god. A poet or musician might be interested in the Orphic rites. They might learn things about musical technique as well. Become attuned to certain principles. It is likely that drugs were involved, sex too maybe. 

For Masons, you might learn Pythagorean principles, mathematical principles, and many concepts that would have been considered occult or secret. Lots of things relevant to masonry as a trade. 

Personalizing our connection to these heroic figures was thus and essential part of providing meaning to the lives of ancient and modern people.