Edfu is best known for its well-preserved Temple of Horus, built under Ptolemy.
A few meters away is the Tell Edfu which reaches 20 m height. It consists of archaeological layers showing a continuous occupation from the Old Kingdom to the Greco-Roman period.
The excavations have identified two particular mastabas, one of Isi and another of Kar also named Pepinefer, two nomarchs Edfu.
Edfu is a recent name which comes from a deformation of the Coptic "Atbo". In the most ancient texts the city was called Djeba, which undoubtedly is itself the source of the Coptic denomination. This site had a sacred name, "Outjeset-Hor”, which means “the place where Horus is exalted”, which recalls the name of the second nome of Upper Egypt whose Edfu was the capital: the Throne of Horus. The Greeks believed that the god Horus corresponded to Apollo, also they called this city "Apollinopolis Magna."
The Behedet appellation comes from the inscriptions of the Ptolemaic temple of Edfu that is clearly dedicated to Horus Behedet. It is problematic because we know now that existed a town called Sema-Behedet in Lower Egypt (Tell el-Balamoun). Also today, Egyptologists distinguish a North Behedet and a South Behedet.
However, on the walls of the temple of Edfu, is described a religious festival consisting of a meeting between Hathor of Dendera and Horus at Edfu. This was a navigation of the Nile between the two locations with different stages. It shows that probably Djeba and Outjeset-Hor were two different locations, however, very close one to another.
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My notes of veracity :
The hieroglyphic name of Edfu is Djeba: 4.5
The hieroglyphic name of Edfu is Behedet: 3/5
The hieroglyphic name of Edfu is Outjeset-Hor: 2.5/5