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> 今年はほかに、片渕須直監督の「この世界の片隅に」が、 **クリスタル賞の次の賞** の「審査員賞」をもらいました。  
>  Additionally, this year, director 片渕須直's 'In the Corner of this World'
> received the Judges Prize, which is ???

Does クリスタル賞の次の賞 mean the prize which is awarded after the Crystal prize, or
the prize which is second best to the Crystal prize?

When I first read the sentence I thought it meant the second best prize, but
then I started to worry that 次 might only describe a temporal relationship.
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2017-06-21T17:03:44.063
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meaning
Does 次の always indicate a temporal relationship?
I agree with you; it's theoretically ambiguous, but I also read this as the
second best prize after Crystal Prize.

For example one can say:

>   * 富士山の次に高い日本の山は何ですか？  
>  What's the next highest mountain in Japan after Mt. Fuji?
>   * 次に安いのを見せてください。  
>  Let me see the next cheapest one.
>
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2017-06-21T17:25:02.700
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