I don't think it's in a time signature, I'm pretty sure it's in a couple of different time signatures/tempos with a number of sections of the melody that are loosely phrased together.
You got Charlie's ostinato figure up top that the melody comes in over, there's a sort of pause and then the second "part" of the melody in a time stream that's a little quicker than the original statement. I'm only hip to the Ornette recording and the Allen/Haden/Motian recording, but they both seem to follow that format.
I haven't seen the Ornette tune in any fakebook, what I've seen is the Horace Silver LONELY WOMAN.
Which is a nice tune too.
In 4/4.
With a 3 bar bridge...