frigidity vs iciness

frigidity and iciness both are nouns.

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

As nouns, frigidity and iciness are synonyms defined as:

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

As nouns, iciness is a hyponym of frigidity; that is, iciness is a word with a more specific, narrower meaning than frigidity:

Other hyponyms of frigidity include chill, gelidity, chilliness, coolness, nip, frostiness, cool.

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