Actually the fork (as drawn in your graph) is a Möbius transformation (assuming the chart is in the complex plane) of the Gann charts. Thus there exists a mapping between the methods and thus are equivalent as long as the transformation is non-singular.
Now the parameters of the Möbius transformation are a function on how the fork is drawn relative to the classical Gann charts. But nonetheless, the subdivision of the fork isn't a new method.
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