[i-adj 〜い → 〜み]
[na-adj (limited set)] + み
The suffix み attaches to the stem of certain い-adjectives (and a few な-adjectives) to form nouns that express a quality, sensation, or condition. It is similar to the English suffix "-ness" or "-ity," but carries a nuance of something tangible, felt, or perceived rather than a purely abstract measurement.
Remove the final い from an い-adjective and add み:
Both み and さ nominalize adjectives, but they differ in nuance. さ expresses an objective, measurable degree (e.g. たか高さ = height as a measurement), while み expresses a subjective quality or sensation that one can feel or perceive (e.g. あたたか温かみ = a feeling of warmth).
Compare with あま甘さ, which would refer to a measurable level of sweetness (e.g. "the sweetness is 50%").
Here, あたたか温かみ conveys a perceived, emotional warmth – あたたか温かさ would refer more to literal temperature.
Many み-nouns are used as standalone vocabulary:
Not all い-adjectives can take み. It is more limited than さ. Adjectives that commonly take み tend to describe qualities that can be sensed or felt – tastes, emotions, physical sensations, and perceived characteristics. When in doubt, check whether a particular み-form is used.