On 06.09.2015 17:27, Rik wrote:
It seems that \buildtextaccent\textacute q (or \buildtextaccent´q) moves
the q to the right within the character’s bounding box. The following
example (and attached resulting pdf) demonstrates this. Lines 1 and 2
show the string with and without the \buildtextaccent, and lines 4 and 6
repeat that in italic.  The strings are the same width, but the q is
moved right. Lines 3 and 6 show a manual kerning of the q to improve
appearance.

\buildtextaccent has to take some heuristics about horizontal and vertical placement and is sometimes wrong about it. Since your case is somewhat special, I would define a macro for the que symbol and adjust the boxes manually - but then, you'll have to adapt it to italic and upright (and bold) and different font sizes. Depends on how important typographical beauty is to you - either a medium-quality solution for all cases or better quality and manual fiddling... Something like

\definefontfamily [test] [serif] [ebgaramond]

\setupbodyfont [test,12pt]

\define\que%
  {\bgroup
   \setbox0\hbox{q}%
   \setbox2\hbox to \wd0{\kern0.3em\switchtobodyfont[6pt] ʒ}%
   \setbox4\hbox to \wd0{\kern0.1em\textacute}%
   \hbox to \wd0 \bgroup
     \hss\copy0\hss
     \hskip-\wd0
     \raise-0.45ex\copy2
     \hskip-\wd0
     \raise0.1ex\copy4
    \egroup
  \egroup\autoinsertnextspace}

\starttext

{\it Dicit\que mihi}

\stoptext

(btw, the example you sent uses Latin Modern).

Thomas
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