Enchanter

from Hesychius of Alexandria, Lexicon, under the cluster of entries beginning with μαγ- (μάγος, μαγγανεία, μαγίς, etc.).

Μαγίστερ, διδάσκαλε, ἐπιστάτα, λέγεται δὲ καὶ ὁδηγός.

Magister: teacher, overseer, one-who-stands-over; he is also called a guide.

Μάγος, παρὰ τὸ μάστω τὸ μαλάσσω, ὁ διὰὲ τῶν μαγι κῶν ἐμπλάστρων τὰ μέλλοντα προλέγων.

Magos: from mástō, “to knead / soften / work with the hands”;
one who foretells what is coming through magical poultices (emplastra).
(Note: ἐμπλάστρων = applied medicinal plasters, not “spells” in the abstract.)

Μαγγανεία, ἐκ τοῦ μαγγανεύω· τοῦτο παρὰ τὸ μάγγανον.

Manganēia: from manganeúō; and this from mánganon.

ἐκ ἐκ τοῦ ἄγω, ἄγανον, καὶ μάγγανον.

From ágō (“to lead, conduct”), áganon (“instrument / means”), and mánganon (“device, engine, contrivance”).

Μαγίς, ἡ τούτον καθο

Magís: the (feminine) one who leads / guides this…