"Warm" is to "warmth" as "cool" is to what?

Is there a word for "coolness" that corresponds to warmth?

Solution 1:

Cool.

The cool of autumn juxtaposed against the warmth of spring.

Solution 2:

There's the archaic word coolth:

(archaic) The state of being cool, temperature-wise; coolness.  [eg] The water pushed large blocks of tepid air about around his chair, giving the faint illusion of freshness and coolth. – Lawrence Durrell, Constance, 1982

Edit 2: In many uses coolth corresponds better to warmth than does cool. Architects' use of coolth as mentioned in comments provides an example. Also, while cool corresponds well with warm, it does not correspond well with warmth or warmness in some examples below, shown in several forms for contrast:

His cool manner ... – ok
His warm manner ... – ok
His coolness of manner ... – ok
His warmth of manner ... – ok
*His cool of manner ... – bad
The coolth of his manner ... – ok
The coolness of his manner ... – ok
The warmness of his manner ... – ok
The warmth of his manner ... – ok
*The cool of his manner ... – bad
The chill of his manner ... – ok

Edit 1: Regarding whether coolth is archaic, Peter Shor notes that it appears in The Spectator (ca. 1776). It also appears in Fanny Burney memoirs, ca. 1784, and according to ngrams is rare before the late 1800's, and at its most-common from 1920 to 1960.

The most-relevant sense of archaic is "(of words) No longer in ordinary use, though still used occasionally to give a sense of antiquity." Coolth is still in use, but not in ordinary use; and it is, per previous paragraph, not particularly antique; but because it may often be used to give a sense of antiquity, it's reasonable to term it archaic.

Solution 3:

Chill can be used for this. The chill of winter.

Solution 4:

Also, keeping it simple, "Coolness"