Lilypond page breaks work properly for non-binary meters like 7/5...

[mclaren]

..But apparently Lilypond page breaks don't work at all for an irrational
meter like 7/sqr(71). I'm baffled. Why do page breaks work for 7/5 but not
for 7/sqr(71)?  The basic metric pulse is non-binary in both cases, so why
should it make any difference whether the basic metric pulse is 5 equal
divisions of a whole note, or sqr(71) divisions of a whole note?

Anyway, here's my Lilypond code for a polymetric score with 7/5 playing
against various other pedestrian polymeters. The page breaks work as
expected.

\version "2.18.2"

\header { 
  tagline = ""  % removed 
} 
#(set-default-paper-size "a4" 'landscape)
\layout {
        
indent=0
  % Create time signature context
  % Source: http://lsr.di.unimi.it/LSR/Snippet?id=272
  % (modified)
  \context {
    \type Engraver_group
    % Add elements that _can_ be printed
    \consists "Timing_translator"
    \consists "Time_signature_engraver"
    \consists "Axis_group_engraver"
    \name "TimeLine"
    \alias "Staff"
    
    % Align time signatures on barlines
    \override TimeSignature.X-offset =
      #ly:self-alignment-interface::x-aligned-on-self
    \override TimeSignature.self-alignment-X = #CENTER
  }
  \context {
    \Score
    \accepts "TimeLine"
    \remove "Timing_translator"
    \remove "Default_bar_line_engraver"
    \override TupletNumber.text = #tuplet-number::calc-fraction-text
  }
  \context {
    \Staff
    \consists "Timing_translator"
    \consists "Default_bar_line_engraver"
    \consists "Time_signature_engraver"
  }
}

{
  
  
<<
  
    \new TimeLine {
    \time 7/5

  }

\new Staff { \clef "treble"
             \relative c''
{

\time 7/5
\override Staff.TimeSignature #'stencil = ##f 
\scaleDurations 8/5 {
  { c8[ d f e b c d16 f] | e8[  b c d16 f  e8 b c16 d] } 
  { f8  } }
  \bar"" \break
  {e8 b c d f e b16 c d8 f e b16 c  d8 f e16 b c8 d f e b c  d f16 e b8 c d
f16 e b8 c d16 f e8 b c d f e b }
 
}  
}
  \new TimeLine {
    \time 13/8

  }

\new Staff { \clef "treble"
             \relative c''
{


\override Staff.TimeSignature #'stencil = ##f 

 \scaleDurations 8/13 { c8[ d f e b c d16 f e8  b c d16 f e8 b] c16 d f8 e b
c d f e b16 c d8 f e b16 c  d8 f e16 b c8 d f e b c  d f16 e b8 c } 
 \bar"|" \break { d f16 e b8 c d16 f e8 b c d f e b }
 
}  
}

  \new TimeLine {
    \time 9/8

  }

\new Staff { \clef "treble"
             \relative c''
{


\override Staff.TimeSignature #'stencil = ##f 

 \scaleDurations 8/9 { c8[ d f] e[ b c] d16[ f e8  b] c[ d16 f e8] b[ c16 d
f8] e[ b c] d f e b16 c d8 f e b16 c  d8 } 
 \bar"|" \break { f e16 b c8 d f e b c  d f16 e b8 c d f16 e b8 c d16 f e8 b
c d f e b }
 
}  
}

  \new TimeLine {
    \time 11/8

  }

\new Staff { \clef "treble"
             \relative c''
{
  \override Staff.TimeSignature #'stencil = ##f
 
 \scaleDurations 8/11 { e8 b c d16 f e8 b c d16 f e8 b c16 d f8 e b c d f e
b16 c d8 f e b16 c d8 f e16 b c8 d f e b c d } \bar"|" \pageBreak { f16 e b8
c d f16 e b8 c d16 f e8 b c d f e b c16 d f8     }

}

}

>>
     
}





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