Musical character in one's blood (7)
I believe the answer is:
natural
I believe this is a double definition.
'musical character' is the first definition.
(musical sign or character by a natural note)
'in one's blood' is the second definition.
(as in something that comes naturally to someone)
(Other definitions for natural that I've seen before include "one short of being sharp?" , "Not synthetic or man-made" , "Not made; off-white" , "Without affectation" , "Certainty" .)