The most common and most likely answer to this crossword clue is the 5 plus 5 letter word MAJOR THIRD
I've seen this crossword clue in Financial Times
M
A
J
O
R
T
H
I
R
D
More clues leading to the result MAJOR THIRD
Buddy explains!
The straight part
We know that "Note interval" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case note interval = major third.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.