You already found my page about microtonal usage of LilyPond. I specifically used LilyPond with tripod notation, which is not far off a tablature for Kite guitar. You can get the PDF about it and the source code for generating it, which includes LilyPond code, from here:
http://x31eq.com/magic/ I have updated some of that, but I still keep an old version of LilyPond around to avoid various regressions. I haven't been through the new method explained in this thread, which does look interesting. You have an additional problem if you want a guitar tablature, though. >From what I can see that's all based on a function for returning equal tempered semitones. Adapting that for microtonal use will be an entirely different question that I don't think anybody's looked at. But it would certainly be useful to be able to generalize the position of the frets and add accidentals — and in this case you won't need the accidentals. What you probably need is a variant of "scordablature" that will put notes on the right frets as if they were 12-equal. You'll also need to set the open string tunings accordingly. Graham