User blog:QuasarBooster/Explosive Language: my first notation prototype

Hello everyone. I've followed this wiki for a reasonable time, and have finally been tempted enough to give googology a try for myself! I am currently very inexperienced, so I'd greatly appreciate suggestions and/or guidance. I'm wanting (like any googologist would) to make this system as polished as I can, so that it can expand into future levels.

Concept: Explosive Language is an attempt to essentially link the well-practiced composition of literature to the expansion/creation of large numbers. Its goal is to form giant numbers simply from comprehensive excerpts (none of which have to even mention mathematics) of any language, and of any length. The eventual rules are to interpret, from what lies only in the text itself, numbers first from each letter, on to words, then how those words interact in sentences to create meaning, and on through any higher level of organization (from single paragraphs to whole encyclopedic series).

Basics for now- expanding from letters: Ignoring ambiguities such as pronunciation of and information in each letter for now, the starting process changes each letter in a word to a reasonable number. There are three main components of a word being applied: the word's length, letter variation, and letter frequencies. Vague or tedious aspects, such as a letter's position in the alphabet, are avoided.

Definitions: The arguments in the expression $$a\langle b \rangle c$$ are extracted from the three previously mentioned aspects above, respectively. For example, in the word "letter", the value of a is 6 for 'l', and decreases by one until the a value is 1 for 'r'. The b value for every letter in the word should be the same, or 4 in this case, because they're all part of a word with the letters 'l,e,t,r'. The frequency of each letter determines its c value, so for each 'e' and 't', c will be 2 because there are two of each.

Equations: This notation only requires the first two arguments, with the last being optional. In other words, $$a\langle b \rangle = a\langle b \rangle 0$$. The two parameter rule and base cases are $$0\langle b \rangle = b$$ or $$a\langle 0 \rangle = a!$$ For values of a and b greater than 0, $$a\langle{b+1}\rangle = (a+b+1)\uparrow^{b+1}(a+b)\uparrow^b...\uparrow\uparrow\uparrow(a+2)\uparrow\uparrow(a+1)\uparrow(a!)$$. This can be shortened of course- $$a\langle{b+1}\rangle = (a+b+1)\uparrow^{b+1}a\langle b\rangle$$ When c is included, the general rule is $$a\langle b\rangle (c+1) = \overbrace{(a+b)\langle{(a+b)}\langle...}^{\text{c } (a+b)^\text{s}}a\langle b\rangle\rangle...\rangle$$. And the final generalized equation is $$a\langle b\rangle (c+1) = (a+b)\langle a\langle b\rangle c\rangle$$.

Explosive Language is only developed to this letter expansion thus far, but will continue. I'm sure there may be glaring issues in the existing notation so far, so feel free to let me know about them!