getragen
solemn
Ceremonial, slow, and dignified in manner. Often used for music, a way of speaking, or movements.
Die Trauerfeier wurde von getragener Orgelmusik begleitet.
The funeral service was accompanied by solemn organ music.

solemn / supported / used
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solemn
Ceremonial, slow, and dignified in manner. Often used for music, a way of speaking, or movements.
Die Trauerfeier wurde von getragener Orgelmusik begleitet.
The funeral service was accompanied by solemn organ music.

'Getragen' is the past participle of the verb 'tragen' (to carry, to wear). All meanings derive from 'tragen': to 'carry' a solemn mood, to be 'getragen' (supported) by an idea, or to have 'getragen' (worn) clothing.
Seine Rede war von großem Ernst getragen.
His speech was supported by great seriousness.
You can recognize the meaning from the context: If 'getragen' refers to music, a speech, or the atmosphere, it means 'feierlich' (solemn). If the preposition 'von' follows, it means 'unterstützt' (supported). If it describes clothing, it means 'gebraucht' (used).
Die Musik war langsam und getragen.
The music was slow and solemn.
In the meaning of 'feierlich' (solemn), 'getragen' often describes acoustic or atmospheric things. Common combinations are 'getragene Musik' (solemn music), 'getragene Worte' (solemn words), 'eine getragene Stimmung' (a solemn mood), or 'mit getragener Stimme sprechen' (to speak in a solemn voice).
Der Priester sprach mit getragener Stimme das Gebet.
The priest said the prayer in a solemn voice.
In the meaning of 'unterstützt' (supported), 'getragen' almost always appears in the fixed combination 'getragen von' followed by a noun in the dative. The noun describes the source of the support, e.g., people, ideas, or feelings.
Ihre Forschung war von der Hoffnung auf eine Entdeckung getragen.
Her research was supported by the hope of a discovery.
new
'neu' and 'getragen' form a clear contrast when talking about clothing and shoes. 'neu' means that a piece of clothing has not been used yet, or has hardly been used. 'getragen' here means that someone has already worn it. When buying clothing, this difference is important: new clothing comes straight from the store, while worn clothing is used or secondhand.

Sofia verkauft ihre getragenen Jacken auf dem Flohmarkt.
Sofia sells her worn jackets at the flea market.
Für die Hochzeit hat Paul ein neues Hemd gekauft.
Paul bought a new shirt for the wedding.