Question about quater-tones in musical keys

[Eric(h)]

You can tell what key something is in by the sharps and flats. But in non western music, theres way more than a tone and semi tone. If I were to try and see what key something like this would be in, how would I go about it:

G
C
D
~Eb
F
G
~Ab
Bb
C

>>Nirz Rast

Arabian Scale, the 3rd and 6th tones are lowered (quarter tone) It resembles an Aeolian scale.<<

[Pipsqueak]

that's a good question....
one I don't think I can answer.