Crossword Genius

Note sharp double bends laid with a square floor (9)

Ross

I believe the answer is:

mezzanine

I'm a little stuck... Click here to teach me more about this clue!

'floor' is the definition.
(I know that mezzanine is a type of floor)

'note sharp double bends laid with a square' is the wordplay.
I cannot quite see how this works, but
'note' could be 'me' (musical note as in do-re-me) and 'me' is located in the answer.
'a' could be 'an' and 'an' is located in the answer.
This explanation may well be incorrect...

Can you help me to learn more?

(Other definitions for mezzanine that I've seen before include "Floor immediately above ground level" , "Storey between stories" , "Intermediate floor (usually between ground and first)" , "Intermediate storey (often between ground and first)" , "Floor between floors" .)

I've seen this clue in The Independent.
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