On Thu 11 Jan 2024 at 20:11:54 (-0600), Stanton Sanderson wrote:
> 
> Thank you for the suggestion, but as stated previously, I’m trying to 
> reproduce the original from the Peters edition. The problem, as you point 
> out, is that the cut C is used in the original. Whether 8/4 or 4/2 (and I 
> agree that 4/2 is the most reasonable time signature), I was looking for a 
> way of declaring the cut C. 
> 
> The included photo is from the piece (# 67. Vater Unser in Himmelreich by 
> Johann Kyieger, from _80 Choral Preludes_, Edition Peters, No. 4440, 
> Copyright 1947). I think I purchased it some time around 1959. 

You can override the glyph, as attached.

Cheers,
David.
\paper { #(set-paper-size "a6") }
mus = { \time 4/2 a'1 a'2 f' g' a' f' e' }
\new Score {
  \new Staff {
    \new Voice {
      \once\override Staff.TimeSignature.stencil = #ly:text-interface::print
      \once\override Staff.TimeSignature.text = \markup { \musicglyph "timesig.C22" }
      \mus
    }
  }
}

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