Avoided non-fat, skipping odd bits? Capital! (6)

I believe the answer is:

vienna

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'capital' is the definition.
(capital of Austria)

I can't explain the rest of the clue.

(Other definitions for vienna that I've seen before include "Austrian city of the waltz" , "sort of sausage" , "Capital city of Austria" , "European capital" , "City of Strauss and the waltz" .)

I've seen this clue in The Times.

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