On Thu 21 Nov 2024 at 16:23:53 (-0800), Kenneth Wolcott wrote:
> The "motif" is:
> 
> dotted-quarter followed by three eighth notes.
> 
> Lilypond automatically engraves the eighth notes as a set of three.

That would be correct for a measure of 6/8 time.

> She wants it engraved so that the first eighth note is not part of the 
> bracket.

I'm sure there are better ways than the attached.

Cheers,
David.
\version "2.24.0" % 2017-11-28

%% Beam crochets separately.
%% 2.18.2 can't parse this format for beatStructure

\layout {
  \context {
    \Score
    \overrideTimeSignatureSettings
    2/2 % timeSignatureFraction
    1/8 % baseMomentFraction
    2,2,2,2 % beatStructure
    #'() % beamExceptions
    \overrideTimeSignatureSettings
    3/2 % timeSignatureFraction
    1/8 % baseMomentFraction
    2,2,2,2,2,2 % beatStructure
    #'() % beamExceptions
    \overrideTimeSignatureSettings
    4/2 % timeSignatureFraction
    1/8 % baseMomentFraction
    2,2,2,2,2,2,2,2 % beatStructure
    #'() % beamExceptions
    \overrideTimeSignatureSettings
    3/4 % timeSignatureFraction
    1/8 % baseMomentFraction
    2,2,2 % beatStructure
    #'() % beamExceptions
    \overrideTimeSignatureSettings
    4/4 % timeSignatureFraction
    1/8 % baseMomentFraction
    2,2,2,2 % beatStructure
    #'() % beamExceptions
    \overrideTimeSignatureSettings
    5/4 % timeSignatureFraction
    1/8 % baseMomentFraction
    2,2,2,2,2 % beatStructure
    #'() % beamExceptions
    \overrideTimeSignatureSettings
    6/4 % timeSignatureFraction
    1/8 % baseMomentFraction
    2,2,2,2,2,2 % beatStructure
    #'() % beamExceptions
    \overrideTimeSignatureSettings
    7/4 % timeSignatureFraction
    1/8 % baseMomentFraction
    2,2,2,2,2,2,2 % beatStructure
    #'() % beamExceptions
    \overrideTimeSignatureSettings
    8/4 % timeSignatureFraction
    1/8 % baseMomentFraction
    2,2,2,2,2,2,2,2 % beatStructure
    #'() % beamExceptions
  }
}

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