The ALM counts of chapter 3
The declarations (see Glossary) are divided into two broad subsets according to the divisibility of occurrences of their letters. Some, like ALM, for instance, form divisible sum in the chapters they appear. While, others, like HM, interact among several chapters to form divisible sums (see appendix 1). As often is the case, the individual counts of each letter in the declaration further break down into components with unique properties. The Fig. illustrates this, as we look at the ALM's in chapter 3.
The equation in the center is the sum of the occurrences of the letters A, L, and M, respectively, in chapter 3. A closer look, reveals many interlocking links among the components of the individual counts and their sum, as illustrated with various arrows. This may be taken as a hint that there is more to this sum, once, we dig a little deeper below the surface.
If we break down the counts and their sum into their component pairs, (25, 21), (18, 92), (12, 49), and (56, 62), an emerging set of relationships becomes more apparent. In the 1st two pairs we see a reference to 92 and its 21 verses. Then, we note a pointer to 49 and its 18 verses in the 2nd and 3rd pairs. Finally, 25 from the 1st pair links up with the last pair via 53 and 74 (curved U and V arrows); 53 (of ord 25) has 62 verses and 56 is the verses of 74.
We observe, 2696, the verse span from 25 to 74, has constituent pair 26 and 96, further interacting with components 12 and 56 from previous pairs: 26 is of ord 12 and 96 is the verses of 56.
The lower half of the Fig. pins down additional links among the pairs along other paths. 18 and 49 further interact via the intermediate node 52 (of 49 verses), and through 2644, the verse span from 18 to 52. Its components, 26 and 44, relate to 12 and 25, respectively, from previous pairs via ord arrows.
We notice, the L count, 1892, is the mirror of 2981, where we recognize 81 and its 29 verses. Both 2644 and 2696 are, separately, grames at the end of chapters 69 and 110. We see the following: 110 is of ord 81, itself, has 29 verses, and 29 has 69 verses!