Stratospheric sort of accommodation for lots of players (9,4)

I believe the answer is:

orchestra pits

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'accommodation for lots of players' is the definition.
I can't tell whether this definition defines the answer.

'stratospheric sort' is the wordplay.
'sort' indicates anagramming the letters.
'stratospheric' anagrammed gives 'ORCHESTRA PITS'.

'of' acts as a link.

Can you help me to learn more?

(Another definition for orchestra pits that I've seen is " lowest levels in the Savoy?".)

I've seen this clue in the Sydney Morning Herald.

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