Kubik claims that (Sub-Saharan) African musicians hold in their minds a faster rhythm, about 400MM-500MM, which makes it easier to keep accurate timing. In my experience, this faster pulse level is then grouped into either 4s (so 4x4), 3s (either 4x3 or 8x3) by the main reference pulse. This gives 16 and 12 or 24 faster pulses respectively, grouped in one or two 4s. This is a period, and has nothing really to do with what we call time signatures (because different periods can be superimposed meaning bar lines don't work).
I wonder if the actual musicians consult Kubik's writings when learning to play? I'd be more interested in a manual written by one of them!