Firstly, I edited a couple of mistakes in the quote above.
Secondly, I was right, in that the numerals for the quarks go, to a version of 137_731, from within.
For the quarks, their numbers of elements give (16,410 * 73,784) = 1,210,795,440 = [(100899623)^2 - (100899617)^2] = {[-1,000 + 100,000,000 + 300*3,000 + (700 - 77)]^2 - [(0^0 - 7 - 77 + 700) + 300*3,000 + 100,000,000 - 1,000]^2} ---> 1/133777_7777331\1 ---> 1/137_731\1 . Note that 133777 is an additive pattern, by one 1, two 3's, and three 7's, but, 133777 is multiplicative pattern, by one 1, two 3's, and four 7's.
Things went from the atomic side, of 137_731, to the quark-side, of 1/137_731\1, and, with 00113377 in between. Note again, the in-between spot must be of the form(x^x + y^y + ...), and, so, it becomes (0^0 + 1^1 + 3^3 + 7^7) = 823,572 = 2*3*22877*6 = 2 * (√9 * {22900 - 6^0 * [antilog(0^0)]^2 + 77} * 6) ---> 9229_6776__6776_9229, another way to express the in-between part, but, which brings it, too, back to the 2's, and 9's, of the chemical, and, then, quark-, periodic tables. The 6776-parts invert to the 9229-parts, with the 6's rotating to 9's, and 7's rotating to 2's.
I omitted a few of the complicated (but spot-on in the theory) details, such as how the zeroes end up in front of the 00113377-part, and, how the in-between part has also a 1/137 form, but, suffice it to say how the tables above are related. When I have a bit more time, I will show how the tables, themselves, are formulated.