As nouns the difference between canter and panter
is that
canter is a gait of a horse between a trot and a gallop, consisting of three beats and a "suspension" phase, where there are no feet on the ground also describing this gait on other four legged animals or
canter can be one who cants or whines; a beggar while
panter is panther.
As a verb canter
is to move at such pace.