The quality or state of being genial; the characteristic of possessing warmth, friendliness, and good-natured cheerfulness.
From 'genial' plus the English noun-forming suffix '-ness.' This suffix attaches to adjectives to create abstract nouns representing the quality described, a highly productive pattern in English.
English has multiple ways to turn 'genial' into a noun—you can say 'geniality' (from Latin roots) or 'genialness' (using English suffix '-ness')—showing how the same language has different layers of word-building from different sources!
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