>> Apparently at some point the font for figured bass has been changed
>> to smaller one -

Yes, and this has been documented:

  https://lilypond.org/doc/v2.24/Documentation/changes/index.html

>> I think in the process the horizontal position of the figures
>> hasn't been adjusted and they appear slightly off-center (too much
>> to the left), which is not really aesthetically satisfying.  I
>> wonder if there's a way of fixing this?

I guess this is issue

  https://gitlab.com/lilypond/lilypond/-/issues/3172

Some workrounds are given there, but the fundamental problem in the
code is not fixed yet.

> For those of us who are not Figured Bass experts, but are pretty
> good at LilyPond, it would be nice to have a small example that
> showed the problem.  Then we could modify the code to try to fix it,
> instead of having to write the code first, then try to fix it.

Yeah, especially to check whether the problem is not the same as issue
#3172.


    Werner

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