Another fine choice if one desires a bit of texture in one's neckwear is a grenadine tie. Grenadines, in my view, are ever so slightly more formal, and occupy a space between rougher wool knitteds and smooth or twill (as in some reps) silk ties. The smoother wool ties (not knitted, but flannel-like and somewhat rougher than silk) can go with worsted suits and jackets, and also with all but the roughest tweeds.
A related observation is that in the romance between suit jacket and tie, the go-between is the shirt. (The shirt as Cyrano, come to think of it! ). The colour, texture and pattern of the shirt serves multiple functions, enhancing or ameliorating the contrasts between jacket and tie. One can sometimes get away with what might seem daring, or even outré combinations, by interposing the right shirt between jacket and tie. For example, a tattersall shirt with small checks can be an effective intermediary between a tic-weave or herringbone Harris Tweed jacket and a wool or silk knitted tie, or grenadine tie. In fact, the knitted tie is a frequently seen accompaniment to check shirts, even brightly coloured ones.
On occasion, a good effect can actually be achieved with contrasting rather than matching textures. Consider Bond's iconic combination: A dark blue tropical worsted suit, white shirt, and black silk knitted tie. Connery operationalizes Fleming's outfit using these elements, with the exception that he wears a dark blue silk knitted tie. See the image from You Only Live Twice
in Matt Spaiser's wonderful and authoritative piece on Bond suits (I believe Mr Spaiser is a member of our forums here on AAAC):
Just a few thoughts on an interesting topic. LOL, maybe it is time to reflect on how various types of shoes, at the other end of the body, combine with ties, shirts and jackets. Now there's a topic for a lively discussion, don't you think?