> Alas, as soon as the relevant engravers are moved to another context,
> which is a common use case, I get an error:
> 
> programming error: cyclic dependency: calculation-in-progress
> encountered for AgogicLineSpanner.vertical-skylines
> 
> and the graphical output is wrong.
> Again, this does not happen at score-level.
> Example-code to trigger it at #2256
> 
> I've no clue how to proceed. Every hint is very welcome.

I don't really have the time to investigate, but have you tried

#(ly:set-option 'debug-property-callbacks)

? It should print a stack of the callbacks showing the cyclic dependency.

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