Composer's new edition with tango and waltz, finally (9)

'composer's' is the definition.
(Gaetano Donizetti, 1797-1848)

'new edition with tango and waltz finally' is the wordplay.
'new' indicates anagramming the letters.
'with' is a charade indicator (letters next to each other).
'tango' becomes 'T' (phonetic alphabet: alpha, bravo, charlie etc.).
'and' says to put letters next to each other.
'finally' suggests the final letters.
The last letter of 'waltz' is 'z'.
't' put after 'z' is 'zt'.
'edition' after 'zt' is 'ztedition'.
'ztedition' is an anagram of 'DONIZETTI'.