sway vs pitching

sway and pitching both are nouns.

Word	Noun	Adjective	Verb	Adverb
sway	Yes	No	Yes	No
pitching	Yes	No	No	No

As nouns, pitching is a hypernym of sway; that is, pitching is a word with a broader meaning than sway:

sway: pitching dangerously to one side
pitching: abrupt up-and-down motion (as caused by a ship or other conveyance)

Other hypernyms of sway include lurch, pitch.

sway (noun)	pitching (noun)
pitching dangerously to one side	(baseball) playing the position of pitcher on a baseball team
controlling influence	abrupt up-and-down motion (as caused by a ship or other conveyance)

sway (verb)	pitching (verb)
move back and forth or sideways
move or walk in a swinging or swaying manner
cause to move back and forth
win approval or support for