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[Sam G]

Another two interesting points that came to me today:

1) The m character is immediately before the p and f. This is important because while p and f are often used at the beginning of paragraphs, m is often at the end of lines. The writer may have seen some kind of symbolic "break" between the eighth and ninth characters.

That seems like a possibility.  I wonder if these sequences might more generally relate somehow to the "embellishments" that are added to beginnings and ends of lines, and to initial lines of paragraphs.  But the fact that s is conspicuously absent in these sequences (despite being very common line-initially in some places) might be a point against that theory.  Also it would not be clear what to make of the rare characters in the sequence.

Also, I was re-reading the thread and I realized that you had already said much of what I said in my previous post, though I had inadvertently skimmed over your post and thus failed to acknowledge it.  It certainly does seem that the variation in the four forms of this sequence is intentional, that each iteration is differentiated by the m and p/f symbols, and that the first iteration is marked as "special" by the straight-stroke j and I symbols.