Perhaps the largest interval that we often talk about in music is the thirteenth. A thirteenth is a compound sixth and so can be produced by adding together the interval of an octave and the interval of a sixth, be that a major sixth or a minor sixth.
A leap of a thirteenth in a melody is rare and it would be awkward to ask vocalists and some instrumentalists to sing or play one. However, a thirteenth is a very useful and colourful ingredient to add in to a chord. You can have a listen to some thirteenth chords in this lesson!