Sorry, my "turn" was a goof:  The loop in the outline produced a tiny
fissure…

Now I've put a bit more effort in it, combining two subpaths at their
intersection so that metapost's output will be a plain and simple outline,
/exactly/ matching the original turn outline, but without any loops or
overlaps:

<http://lilypond.1069038.n5.nabble.com/file/t3887/example-turn-v2.png> 

Cheers,
Torsten

example-turn-v2.png
<http://lilypond.1069038.n5.nabble.com/file/t3887/example-turn-v2.png>  



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