Regarding ATT Speed and Inner Ability

You're very close, I believe i was at 363% at the time that SS was taken.

I'm just curious as to what the ratios are as 1 LUK seems to add a ridiculous amount of range.

I'm vaguely aware that around 5LUK equates to 1% atm, but I've got no idea of the values for ATT

Based on some punching, the next 1%LUK would be equivalent to 4.8LUK. You have about 2226-2227 LUK that is subject to potential lines (i.e. all LUK and no %LUK). As far as I know, to hit 1250 bonus LUK from EQ, you have up to 19 pieces of EQ that can give you all those LUK (head, top, bottom, gloves, shoes, cape, eye, face, ear, shoulder, belt, pendant, 4xring, badge, weapon, weapon2). Subtracting all the usual skill-based stuff (Links etc) that's about 1000 from 20 pieces of EQ, or 50 each, which is nearly impossible tbh. You probably have 3xTyrant... and/or a Fafnir Set + Alien set, or something like that.

For the sake of accuracy, would you mind checking what your WA on the UI is before and after using a buff e.g. Thorns? The more WA buffs the better (I think) but do tell me what you used.
If what you calculated just now is indeed correct, that you have about 1100WA, then the next WA is equivalent to 2LUK... and 1%LUK is equivalent to 2.4WA. That is seriously what the hell, because right now for you LUK is more easily available, and more valuable, than WA.

edit: btw each LUK from your previous SS should give you a boost of 450 in your range or so.

Hadriel