Hello Goaten,

Yes, I am thinking in terms of a ‘rise on run for the descending/ascending passageways,’

As you may already know, I am in the throes of completing (very slowly, I fear) a hypothesis on the design and dimensions of the GP that I started nearly thirty years ago.
It is my contention that the passageways (including the Grand Gallery) were initially planned as rise/fall 1-in-2, giving them an initial gradient (in our terminology) of 26:33:54.18.
I hold that of the GP’s interior the King’s Chamber was designed first, and that it was its simple 2-by-1 floor plan that inspired this initial gradient for the passages.
As I see it, as far as the planning was concerned the actual sloping lengths of the passages were to all intents and purposes irrelevant.
The initial gradients of the passages were then, so I believe, altered by the architect reducing their horizontal lengths and vertical heights by specific various amounts to produce the results we see today (why the architect chose to do this is something I can only guess at).
I have found no reason to suppose that the sloping lengths or the gradients of the passages had any significance.

The ‘Trial Passages’ are intriguing, to say the least. However, I do not believe them to be some kind of model of the GP’s interior design created prior to the building of the pyramid.
In my opinion, such a model was unnecessary because the AE architect and builders had already mastered the techniques and skills needed to design and build the GP.

According to my hypothesis, both the Ascending Passage and the Grand Gallery were initially 73.173 royal cubits horizontal by 36.587 royal cubits vertical, and the Descending Passage was initially 180.872 royal cubits horizontal by 90.436 royal cubits vertical.
These measurements were determined by the following original dimensions: the horizontal distance between the Pyramid’s apex and the base of its north side; the vertical and horizontal (both N-S and E-W) location of the entrance in the North face; the location of the Scored Line in the Descending Passage; the N-S location of the start of the Ascending Passage floor; the horizontal distance between the aix of the Pyramid’s base and the axis of the passages.

You write, ‘The same differences at both localities forces us to reconsider a horizontal length to vertical height, at least in the context of a rise on run with currently accepted measuring rod units.’

I am not sure what you mean by this. Please could you elaborate on it for me. Thank you.

Regards,

MJT