Dictionary.com has it as going like this:

 

Ee-dee-ah-car-ran

 

Well, dictionary.com give a fairly generic pronunciation that does not say how any specific population will render a word. I did some googling though and came up with this:

 

Quote:

The name Ediacara - pronounced /idiAkr@/ with stress on the first 'a' (and

even occasionally spellt without the middle 'a') has nothing in it that
corresponds to any word for water in any of the local languages ('kawi' in
most; 'awi' in Adnyamathanha). In fact the Ediacran Hills and the old mining
township of Ediacra (first named in 1891) are somewhat west of the Flinders
Ranges proper - actually in Kuyani country. Tradition has it that the name
meant "granite plain", but, since there appears to be no igneous rock in the
area, this could well refer to the hardness of the ground, rather than to
its geological composition. I have consulted John McEntee (the world's
greatest living authority on Flinders Ranges languages!) and his best guess
is that the name is a corruption of Kuyani 'yartakara', from 'yarta'
(=ground) + 'takara' (= claypan). Certainly the first vowel of 'yarta' would
be very raised in this environment (between a palatal and a retroflex) and
could become very 'i'-like.


So that's our story here in South Australia (and we're sticking to it -

until something more plausible turns up!)

 

http://listserv.linguistlist.org/cgi-bin/wa?A2=ind0405&L=australian-linguistics-l&D=1&P=264

 

Since this guy is supposed to be a speech pathologist with the local university for the area, I am willing to go with what he said.