You're probably a socionics extratim, maybe ILE or IEE.

We have a lot of socionics articles translated and hosted here.

http://www.the16types.info/vbulletin/content.php

If you typed INTP before, I don't see why you can't be logical.

Anyways, your description of yourself generally focuses on info that does not deal with your subjective states. You also got imo, kinda of EXXp wavey hands when you're explaining stuff.

Can't be sure, but I think extratim is good.