The right in greek is this 
http://www.forvo.com/word/μαγεία/

The greek pronouncation of the word Mageia (Μαγεία) is Ma-yeé-a . The yeé is the same when you say in english 'young' the first syllabe.

You cannot say ma - geï (gay)-a because in greek the ei=i (like ει-ρή-νη=I-re-ne http://en.wiktionary.org/wiki/Irene )
Only when it has the two points over the i (εϊ) is ay (like fame)

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Dimitrios Glentadakis
You should say "the right modern greek pronunciation" is Ma-yeé-a, in ancient greek (whose pronunciation is presumably most world-wide known...)  the pronunciation is assuredly ma-geï-a.
Ptyxs