Automatically changing the stem direction of the middle note based on the melody

LilyPond can alter the stem direction of the middle note on a staff so that it follows the melody, by adding the Melody_engraver to the Voice context and overriding the neutral-direction of Stem.

\relative c'' {
  \time 3/4
  a8 b g f b g |
  c  b d c b c |
}

\layout {
  \context {
    \Voice
    \consists "Melody_engraver"
    \autoBeamOff
    \override Stem.neutral-direction = #'()
  }
}

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