superiority vs high-handedness

superiority and high-handedness both are nouns.

Word	Noun	Adjective	Verb	Adverb
superiority	Yes	No	No	No
high-handedness	Yes	No	No	No

As nouns, high-handedness is a hypernym of superiority; that is, high-handedness is a word with a broader meaning than superiority:

superiority: displaying a sense of being better than others
high-handedness: overbearing pride evidenced by a superior manner toward inferiors

Other hypernyms of superiority include arrogance, haughtiness, hauteur, lordliness.

superiority (noun)	high-handedness (noun)
the quality of being superior	overbearing pride evidenced by a superior manner toward inferiors
the quality of being at a competitive advantage
displaying a sense of being better than others
the state of excelling or surpassing or going beyond usual limits