The most common and most likely answer to this crossword clue is the 8 letter word NOTATING
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Buddy explains!

The straight part
We know that "scoring music" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case scoring music = notating.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does NOTATING mean?
NOTATING verb- To mark with spots or lines, which are often colored.
- To add notes to; to annotate
- To create notation (i.e. music); to record/put down in the form of notation