-We see that this fixes the stem direction, but exposes a problem
-sometimes encountered with multiple voices -- the stems of the notes
-in one voice can collide with the note heads in other voices. In
-laying out the notes, LilyPond allows the notes or chords from two
-voices to occupy the same vertical note column provided the stems are
-in opposite directions, but the notes from the third and fourth voices
-are displaced, if necessary, to avoid the note heads colliding. This
-usually works well, but in this example the notes of the lowest voice
-are clearly not well placed by default. LilyPond provides several ways
-to adjust the horizontal placing of notes. We are not quite ready yet
-to see how to correct this, so we shall leave this problem until a
+We see that this fixes the stem direction, but the horizontal
+placement of notes is not what we want. LilyPond shifts the
+inner notes when they or their stems would collide with outer
+voices, but this is not appropriate for piano music. In other
+situations, the shifts LilyPond applies might fail to clear
+the collisions. LilyPond provides several ways to adjust the
+horizontal placing of notes. We are not quite ready yet to see
+how to correct this, so we shall leave this problem until a