>> In this example, everything looks fine when there are max. 3 nested
>> analysis brackets (first score). However, when the brackets are 4
>> the distance between them is irregular.
>>
>> Moreover, how to reverse the order of the brackets so that the
>> shortest ones are closer to the staff?
>
> Compiling your code with my copy of Lilypond (2.25.11) gives four
> evenly-spaced brackets with the shortest ones closer to the
> staff.  Maybe it’s a bug introduced since 2.25.11?

Not a bug but an intentional change, see

  https://gitlab.com/lilypond/lilypond/-/merge_requests/2196 ,

which was merged in version 2.25.12.  The documentation changes of
this MR also describe how to order the brackets as needed.


    Werner

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