This question answers a question I had regarding Star Wars Generals and why Jedi are a part of it. I realized something a bit odd when reading the question though. If the Jedi are always placed as Generals, why are there others in charge of the Starships (Admiral Tench, etc.)?
In Star Wars: The Clone Wars animated cartoon, we see the Jedi commanding ships and such, but in normal military settings, you usually have to have a communication between different branches, but this isn't seen in the show.
The Question
What ranks do the Jedi hold within each branch of the Republic military other than General?