I haven't folded this, so I'm not certain about this...
However, those two images seem to have the same number of "sections" between the forelegs and rear legs. I count about 10 pleats.
The "128ths" version looks like the pleats are facing forwards, though. And the other version seems to have some extra stuff, most notably the "spine".
It's probably due to differences in folding and the paper/technique used to do the folding.
Again, I haven't folded this, so I don't know if it's actually feasible, but if the model is based on a 128 grid, then it might be possible to make smaller scales by creasing halfway between the 128, but that would lead to 256ths, rather than 236ths. But this would only be possible if the folding sequence allows it.