soooo no one really seems to have an answer why I find two development times for 1+100 dilution........ It sounds like maybe everyone is saying there is less grain with standing development. but I guess I'll just experiment with 1+100 for 20 minutes with agitation and again with standing for an hour to better understand the differences.
You did get an answer but not the simple and concise one you wanted.
Different films react differently to developer formulation, temperature, concentration and agitation. This even extends to films with the same name but different format.
In your original question you didn't say for what films you found the different times/dilutions. You only stated that you wanted to use Tri-X.
So the short answer is that Rodinal will work as a stand/semi-stand for anything from 1+50 and greater dilutions and times from 20 minutes to asleep in front of the TV for hours.
My suggestion to you is try 1+50 at 20 minutes with a bare minimum of agitation. Let us say continuous agitation for the first 30 seconds then tap well to dislodge bubbles (I'm assuming you are using a small tank here, 35mm or 120 size film) and let it rest on the counter for 10 minutes. Then agitation again for about 10 seconds, tap and rest for another 10 mintues. Stop, fix, HCA and wash per instructions for the various formulas.
Try printing these, if you like it, stay with it. If you (and I'm assuming you are going to be consistent in your exposure and metering technique) don't like it, then start to research the ideas behind longer times and greater dilution and altered agitation methods. Make ONE change and re-test. Preferably with the same subjects, lighting conditions and film.
See how this gets very complicated very quickly? Also intensely fascinating for some of us...
Oh, and don't forget, that the recommended amount of stock solution for each 80 square inches of film (ie one 8x10, 4 4x5s, one roll of 120 or one 36 exposure 35mm roll) is between 2.5ml and 5ml. Depends on who you ask and which "Rodinal" formulation (classic, T09, new, etc). Err on the side of caution initially and plan on 5ml. In this case you need to have a tank that holds 505ml without making a huge mess. Most 2-reel 35mm tanks should hold that much.
FYI, my personal preference for stand developing with roll film is 1+100 (3ml stock T09) for 1 hour with 30 seconds agitation at the start and about 10 seconds at 30 minutes. Not shooting much lately but I was using this with Foma 200 rated at 125 (I think, don't have my notes) and pretty happy. Arrived at this combination after two tries and just decided it wasn't, for me, worth any more testing.