The authentic side of Madrid (4)

I believe the answer is:

real

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

This could be a double definition.

'the authentic' is the first definition.
(authentic means real or genuine)

'side of madrid' is the second definition.
'Real' can be an answer for 'side' (Real Madrid). I am not certain of the 'of madrid' bit.

Can you help me to learn more?

(Other definitions for real that I've seen before include "Actual; Brazilian currency" , "Authentic" , "Existing, not imaginery" , "Actually existing" , "Genuine - old Spanish coin" .)

I've seen this clue in the Evening Standard.

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