The min distance can be calculated by \vphantom{!y}, filled with the highest en the 
lowest chars.
Below that, the lines will zigzag.

Andre
---
\input musixtex
\input musixlyr
\setlyrics{v1}{%
Ho-ly God,_ we praise_ thy name!}
\setlyrics{v2}{%
Hark! the loud_ ce-les_-tial hymn}
\setlyrics{v3}{%
Ho-ly Fa_-ther, Ho_-ly Son,}
---
% nv,noinst,mtrnuml,mtrdenl,mtrnmp,mtrdnp,xmtrnum0,isig,
   1    1      3       4       3       4     0      -1
% npages,nsyst,musicsize,fracindent
   1       1       16       0

t
./

w5i
\\staffbotmarg=53pt\
\\\setbox\lyrstrutbox=\hbox{\vrule height 8pt width 0pt}\
\\\setbox\lyrstrutbox=\hbox{\vphantom{yM!}}\
\\\atnextbar{\lyrraise{1}{b27pt}}\
\\\assignlyrics{1}{v1,v2,v3}\
f2 f4 /

( f4 e ) f /

( g4 a ) g /

f2d /


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