coldness vs frigidity

coldness and frigidity both are nouns.

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

As nouns, coldness and frigidity are synonyms defined as:

Other synonyms of coldness include cold, frigidness, low temperature.

As nouns, coldness and frigidity are synonyms defined as:

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

coldness (noun)	frigidity (noun)
the absence of heat	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 sensation produced by low temperatures	the absence of heat