MULTIPLEX

The ALM counts of chp 3
The ALM counts of chp 3

Some initial-sets come in the form of divisible sums in their respective chps, like the ALM set. Others, e.g. HM set, interacts with several chps, where the total sum among these chps become divisible. The components of the initial's sum in general have many properties of their own as we look at the counts of the three letters A, L, and M in chp three as shown in the Fig.

The three figures on the left side are the respective counts of the init letters with their sum on the right hand side. If we take a closer look at the components of the four figures in that sum, we see many connections with each other and to several other chps via their verses and ords (see Glossary) This re-emphasises the fact that these partial counts more than just producing a divisible sum as we examine their constituents in more details.

If we break up the three counts and their sum into pairs of two-digit figures we get to see better the corresponding relationships that emerge between them. We have pairs A = (25, 21), L = (18, 92), M = (12, 49), and Sum = (56, 62). From the pairs A and L we see how 92 and 21 point to chp 92 and its 21 verses as shown with the V-arrow. Similarly, the L and M pairs relate 49 to its 18 verses (V-arrow). We see how 25 from A-pair links with both 56 and 62 from the Sum-pair through the intermediate chp 53 (U,V arrows): the 25th ord is 53 which has 62 verses. The upper links illustrate the correspondence between 25 and 56 via the intermediate node 74. From 25 to 74 there are 2696 verses and 74 itself has 56 verses. If we split 2696 into a pair of 26 and 96, we see the connection from M-pair where the 12th ord is 26 (I-link). And finally, 96 itself is the verses of chp 56 (V-link), which closes the loop.

The lower arrows between L and M pairs provide additional intricate ways in which these components interact with each other. Here, we see another path from 18 to 49 via an intermediate chp 52. From 18 to 52 as illustrated there are 2644 verses which can be looked at as a pair of 26 and 44. There are couple of I-links to 26 and 44 as they are the 12th and 25th ords respectively. And chp 52 in turn points to its 49 verses as shown by the V-arrow. Furthermore, we notice that the L-count 1892 is the mirror of 2981, where we see how 81 points to its own 29 verses;-) Both 2644 and 2696 are norms at the end of chps 69 and 110 respectively. Here, again we can see the relationship between these two; 110 is of ord 81, which itself has 29 verses, and the latter has 69 verses! It's interesting how these init counts are so intricately meshed with each other in such a way that involves several other init/un-init chps and their verses. This is in addition to producing a divisible sum which already constraints the individual count of each initial letter.