Raised voice in argument following shortfall? (8)

I believe the answer is:
falsetto
'raised voice' is the definition.
(I've seen this before)
'argument following shortfall?' is the wordplay.
'argument' becomes 'setto' (set-to can mean a fight or argument).
'following' says to put letters next to each other.
'shortfall?' becomes 'fal' (I can't explain this - if you can you should believe this answer much more).
'setto' after 'fal' is 'FALSETTO'.
'in' is the link.
Can you help me to learn more?
(Other definitions for falsetto that I've seen before include "it sounds high" , "Voice that's raised" , "Artificially high voice above the natural range" , "Artificially high voice tone" , "high notes?" .)
