Overlapping ones are acutally possible by utilizing multiple voices.
Check for instance this example:
http://lilypond.1069038.n5.nabble.com/Analysis-brackets-td45330.html
However, your syntax proposal would of course be a neat solution to this issue
and to writing arbitrarily nested analysis brackets
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** [issues:#5240] Allow adjacent analysis brackets**
**Status:** New
**Created:** Wed Nov 15, 2017 10:38 AM UTC by Amir Czwink
**Last Updated:** Sun Apr 01, 2018 01:22 PM UTC
**Owner:** nobody
**Attachments:**
- [Adjacent analysis
brackets.eml](https://sourceforge.net/p/testlilyissues/issues/5240/attachment/Adjacent%20analysis%20brackets.eml)
(2.4 kB; message/rfc822)
There is currently no way to have an analysis bracket end on a note and have
another bracket begin from exactly that same note. To me thats actually a
defect but I guess that wasn't planned in the first place.
Something like "c\stopGroup\startGroup" will not cause the bracket to actually
end and another to begin but rather will combine both groups into one. Using
voices does also not solve the problem because either the note will appear
twice or, when a ghost note is used, the bracket will not span over it.
I've attached my unanswered email to the lilypond mailing list (with examples)
and also here is a link to a question on stackoverflow concerning that topic
https://stackoverflow.com/questions/45572579/lilypond-adjacent-analysis-brackets
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