I also slopped beaming compared to the default horizontal beaming.
I looked at the example and notice the following:

1) by default the 2nd group of eight notes is too horizontal
2) in the 2nd example the 2nd group of eight notes is beamed correctly
3) in the 3rd example the slope of 2nd group of eight notes is too acute but
it's probably the nicest layout.

why isn't it the default settings?


\markup \bold "default beaming"
\score { \new Staff { \relative c' { 
      c8[^"same" d e f] 
      g,[^"too horiz." a b c] 
      c'[ b a g] f[ e d c] 
      c[ e g c] c[ g e c] 
    } 
  } 
} 

\markup \bold "deafult + Stem.no-stem-extend = ##t"
\score { \new Staff { 
    \override Stem.no-stem-extend = ##t 
    \relative c' { 
      c8[^"same" d e f] 
      g,[^"OK" a b c] 
      c'[_"1st stem too short" b a g] f[ e d c] 
      c[ e g c] c[ g e c] 
    } 
  } 
} 

\markup \bold "deafult + Stem.no-stem-extend = ##t + Beam.damping = #0"

\score { \new Staff { 
  % \autoBeamOff 
   \override Beam.damping = #0 
   \override Stem.no-stem-extend = ##t 
   \relative c' { 
      c8[^"OK" d e f] 
      g,[^"1st stem too short?" a b c] 
      c'[_"OK" b a g] f[ e d c] 
      c[ e g c] c[ g e c] 
    } 
  } 
}



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