Here's something simpler :

\version "2.17.20"

%#(set-default-paper-size "a4" 'landscape)
#(set-global-staff-size 16)

myTimeSig =
#(define-music-function (parser location num denom)
  (string? string?)
  #{
    \override Staff.TimeSignature.text =
    \markup {
      \abs-fontsize #13 \override #'(baseline-skip . 1)
      \center-column {
        \line { #num }
        \line { #denom }
      }
    }
  #})

timeSignatures =
{
   \override Staff.TimeSignature.font-family = #'typewriter
   \override Staff.TimeSignature.font-shape = #'italic
   \override Staff.TimeSignature.stencil = #ly:text-interface::print
   \myTimeSig "3" "4"
   \override Staff.TimeSignature.extra-offset = #'(1 . 0)
   \time 1/4
   s4
   \repeat unfold 3 s4
   \once\override Staff.BarLine.transparent = ##f
   \myTimeSig "16" "4"
   \time 1/4
   s4
   \repeat unfold 2 s4
}

SkipedMesForMidFile =
{
  \tag #'Scor { s4 }
  \tag #'Mid { }
}

MelodyOne =
{
   \omit Staff.TimeSignature
   \override Staff.BarLine.transparent = ##t
   \clef F
   \time 1/4
   \SkipedMesForMidFile
   \repeat unfold 3 s4
   \once\override Staff.BarLine.transparent = ##f
   \time 1/4
   \SkipedMesForMidFile
   \repeat unfold 2 s4
}

MelodyTwo =
{
   \omit Staff.TimeSignature
   \override Staff.BarLine.transparent = ##t
   \clef F
   \time 1/4
   \SkipedMesForMidFile
   \stemUp
   \override TupletBracket.bracket-visibility = ##t
   \repeat unfold 3 {
      \once\override TupletNumber.text = #tuplet-number::calc-fraction-text
      \tuplet 7/8 { des!32 [des! des! des! des! des! des! ] }
   }
   \once\override Staff.BarLine.transparent = ##f
   \once\override Score.BarLine.hair-thickness = #4.0
   \time 1/4
   \tupletDown
   \SkipedMesForMidFile
   \tuplet 7/8 { des!32 a,! g! f! des! aes! f,! }
   \tuplet 7/8 { ees!32 b! g,! des!-\parenthesize^> a,! a! f! }
}

\score {
  <<
    \new StaffGroup
       \with {  \override StaffGrouper.staff-staff-spacing.basic-distance =
#5 }
       <<
         \new Staff \keepWithTag #'Scor \MelodyOne
         \new Staff
           \with {
              \remove "Staff_symbol_engraver"
              \remove "Clef_engraver"
           }
           \timeSignatures
         \new Staff \keepWithTag #'Scor \MelodyTwo
       >>
  >>
  \layout {
     %ragged-right = ##f
     indent = 0
     \context {
       \StaffGroup
       \override SystemStartBracket.extra-offset = #'(1 . 0)
       \override SystemStartBracket.style = #'bar-line
       \override SystemStartBracket.thickness = #4
     }
     \context {
       \Staff
       %
     }
  }
}

\score {
   <<
   \new StaffGroup
       <<
         \new Staff \keepWithTag #'Mid \MelodyOne
         \new Staff \keepWithTag #'Mid \MelodyTwo
       >>
  >>
  \midi { }
}

Pierre
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