cheerfulness / clear skies
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cheerfulness
A state of cheerfulness, good mood, and calmness that often shows itself in laughter or smiles.
Der Witz des Komikers sorgte für allgemeine Heiterkeit im Publikum.
The comedian's joke caused general cheerfulness in the audience.
clear skies
In meteorology or elevated language, a term for clear, sunny weather without clouds.
Der Wetterbericht verspricht für morgen anhaltende Heiterkeit.
The weather report promises continuing clear skies for tomorrow.
'Heiterkeit' (cheerfulness / clear skies) is the noun corresponding to the adjective 'heiter' (cheerful / clear). The adjective has two meanings: 'fröhlich' (cheerful) and 'wolkenlos/klar' (cloudless/clear, for weather). The noun 'Heiterkeit' (cheerfulness / clear skies) takes on exactly these two meanings.
Ein heiterer Mensch lacht viel.
A cheerful person laughs a lot.
When it is about cheerfulness, 'Heiterkeit' (cheerfulness) is often used with verbs like 'auslösen' (to trigger/cause) or 'sorgen für' (to create/cause). A typical phrase is also 'allgemeine Heiterkeit' (general amusement/cheerfulness), when an entire group is laughing.
Seine lustige Bemerkung löste große Heiterkeit aus.
His funny remark caused great cheerfulness.
The meaning 'klares Wetter' (clear weather) is much rarer and is mostly limited to the weather report or very elevated, literary language. If people, jokes, or an audience are being talked about, cheerfulness is always meant.
Der Wetterbericht meldet für das Wochenende viel Sonne und Heiterkeit.
The weather report is forecasting lots of sun and clear skies for the weekend.
cheerfulness
Both words describe a good, carefree mood. Heiterkeit tends to be calm and bright and may show itself only in a smile, while Fröhlichkeit usually suggests visible or expressed joy and greater exuberance. Choose Heiterkeit for calm good spirits and Fröhlichkeit for clearly lively joy.
Die ruhige Heiterkeit der Gäste machte das gemeinsame Frühstück angenehm.
The guests’ calm cheerfulness made the shared breakfast enjoyable.
Die Fröhlichkeit der Kinder war bei ihrem lauten Spiel deutlich zu spüren.
The children’s cheerfulness was clearly noticeable as they played noisily.
