Even? Odd? Not even close to equality? That's a travesty (6)
I believe the answer is:
parody
'that's a travesty' is the definition.
(synonyms)
'even? odd? not even close to equality?' is the wordplay.
'even?' becomes 'par' (I've seen this in other clues).
'not even' means one should take alternating letters (remove even-numbered letters).
'close to' says to take the final letters (the close/ending of).
The last letter of 'equality' is 'y'.
The alternating letters of 'odd' are 'od'.
'par'+'od'+'y'='PARODY'
(Other definitions for parody that I've seen before include "Travesty" , "Satirical imitation" , "a lampoon or comic imitation" , "Send up" , "Takeoff" .)