4 words for DDDD 1–4 letters

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1 letter (1)

d
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2 letters (1)

dd
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3 letters (1)

ddd
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4 letters (1)

E.g. Puccini’s Che gelida manina
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A
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R
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I
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A
Hint 1 meaning
An air or song; a melody; a tune.
Hint 2 anagram
ARAI
Hint 3 another clue
Solo
18 +1