\version "2.13.11"
\pointAndClickOff

\paper { ragged-last-bottom = ##f }

lyr = \lyricmode { 
  These are just some ran -- dom __ _ _ ly -- rics, these are just some ran -- _ _ dom ly -- rics!
}

cs = \new ChoirStaff <<
\new Staff { \new Voice ="1" \relative c'' { \repeat unfold 5 { c4 c c c } } }
\new Lyrics \lyricsto "1" \lyr
\new Lyrics \lyricsto "1" \lyr
\new Lyrics \lyricsto "1" \lyr
\new Staff { \new Voice ="2" \relative c' {\clef "bass" \repeat unfold 5 { c2 c } } }
\new Lyrics \lyricsto "2" \lyr
\new Lyrics \lyricsto "2" \lyr
>> 

\score {
  \cs
  \layout {
    \context {
      \Lyrics
      \override VerticalAxisGroup #'inter-loose-line-spacing #'minimum-distance = #2.0
    }
  }
  \header { piece = "Lyrics minimum-distance = 2.0" }
}

\score {
  \cs
  \layout {
    \context {
      \Lyrics
      \override VerticalAxisGroup #'inter-loose-line-spacing #'minimum-distance = #2.25
    }
  }
  \header { piece = "Lyrics minimum-distance = 2.25" }
}

\score {
  \cs
  \layout {
    \context {
      \Lyrics
      \override VerticalAxisGroup #'inter-loose-line-spacing #'minimum-distance = #2.5
    }
  }
  \header { piece = "Lyrics minimum-distance = 2.5" }
}

\score {
  \cs
  \layout {
    \context {
      \Lyrics
      \override VerticalAxisGroup #'inter-loose-line-spacing #'minimum-distance = #2.8
    }
  }
  \header { piece = "Lyrics minimum-distance = 2.8" }
}

\score {
  \cs
  \layout {
    \context {
      \Lyrics
      \override VerticalAxisGroup #'inter-loose-line-spacing #'minimum-distance = #3.0
    }
  }
  \header { piece = "Lyrics minimum-distance = 3.0" }
}

\score {
  \cs
  \layout {
    \context {
      \Lyrics
      \override VerticalAxisGroup #'inter-loose-line-spacing #'minimum-distance = #3.2
    }
  }
  \header { piece = "Lyrics minimum-distance = 3.2" }
}

\score {
  \cs
  \layout {
    \context {
      \Lyrics
      \override VerticalAxisGroup #'inter-loose-line-spacing #'minimum-distance = #3.5
    }
  }
  \header { piece = "Lyrics minimum-distance = 3.5" }
}

\score {
  \cs
  \layout {
    \context {
      \Lyrics
      \override VerticalAxisGroup #'inter-loose-line-spacing #'minimum-distance = #3.7
    }
  }
  \header { piece = "Lyrics minimum-distance = 3.7" }
}



\score {
  \cs
  \layout {
    \context {
      \Lyrics
      \override VerticalAxisGroup #'inter-loose-line-spacing #'minimum-distance = #4.0
    }
  }
  \header { piece = "Lyrics minimum-distance = 4.0" }
}