Playing ternary swing
From Gypsy Jazz Guitar Wiki
Playing with swing, is before anything a question of accents. In swing music, each beat is divided in three. A beat is not made of two halves but of a triplet of which only the first and third notes are played.
Difference between non-swing binary and swing ternary
This video shows the difference between non-swing and swing, using a scale as a support. Of course, the effect is a bit exaggerated here but this is hust to give you a feel.