lilypond-essay: Optical spacing

 
 Optical spacing
 ---------------
 
 In spacing, the distribution of space should reflect the durations
 between notes.  However, as we saw in the Bach Suite above, many modern
 scores adhere to the durations with mathematical precision, which leads
 to poor results.  In the next example a motif is printed twice: the
 first time using exact mathematical spacing, and the second with
 corrections.  Which do you prefer?
 
 [image src="" alt="[image of music]" text="image of music"]
 [image src="" alt="[image of music]" text="image of music"]
    Each bar in the fragment only uses notes that are played in a
 constant rhythm.  The spacing should reflect that.  Unfortunately, the
 eye deceives us a little; not only does it notice the distance between
 note heads, it also takes into account the distance between consecutive
 stems.  As a result, the notes of an up-stem/down-stem combination
 should be put farther apart, and the notes of a down-stem/up-stem
 combination should be put closer together, all depending on the combined
 vertical positions of the notes.  The lower two measures are printed
 with this correction, the upper two measures, however, form
 down-stem/up-stem clumps of notes.  A master engraver would adjust the
 spacing as needed to please the eye.
 
    The spacing algorithms in LilyPond even take the barlines into
 account, which is why the final up-stem in the properly spaced example
 has been given a little more space before the barline to keep it from
 looking crowded.  A down-stem would not need this adjustment.