iciness vs frigidity

iciness and frigidity both are nouns.

Word	Noun	Adjective	Verb	Adverb
iciness	Yes	No	No	No
frigidity	Yes	No	No	No

As nouns, frigidity is a hypernym of iciness; that is, frigidity is a word with a broader meaning than iciness:

Other hypernyms of iciness include cold, coldness, frigidness, low temperature.

As nouns, iciness and frigidity are synonyms defined as:

Other synonyms of iciness include chilliness, coldness, coolness, frigidness.

iciness (noun)	frigidity (noun)
coldness due to a cold environment	a lack of affection or enthusiasm
a lack of affection or enthusiasm	sexual unresponsiveness (especially of women) and inability to achieve orgasm during intercourse
	the absence of heat