Hello Brifoz,
I'm glad you asked this question concerning the taut-line hitch as I have been a bit confused concerning the difference between it, on the one hand, and the Midshipman's hitch on the other. In order to clear up the terminology using ABOK, one should refer to the taut-line hitch as a basic rolling hitch (#1730). Ashley refers to a specific version of the Midshipman's hitch in his #1729 version, which is also illustrated and mentioned under a version 2 of the Rolling hitch (#1735) where the knot is tied directly to an object. If anyone else has more clarity on this subject, feel free to set me straight.
This second version (#1729) tends to be much more secure, but can be more difficult to slide if it is pulled extremely tightly. It is the first knot that is shown how to be tied under #1855 on the following page:
https://en.wikipedia.org/wiki/Taut-line_hitch The second knot I would like to mention, in addition to the two knots suggested by other members (which are exceptional slide-and-grip knots as well, I'd like to add!) is the Modified Tarbuck Knot. I couldn't find any drawings or videos for this knot, so I have attempted a poor rendition in my own hand (which I will attempt to attach to this reply). I have started a thread above concerning the uses of this knot in regards to its predecessor, the Tarbuck knot, which had the tendency to strip the outer sheath of kernmantle-style ropes. It had originally been devised by Ken Tarbuck to deal with post-war nylon climbing ropes by slipping to absorb sudden loads, such as a rock climber's fall. The modified version was created by the Canadian climber and knot savant Robert Chisnall.