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im just really confused on the music box puzzle. is the music sheet supposed to help, or is it all in the showcase? and i dont understand if there's supposed to be a pattern.

(+1)(-1)

First off, the music sheet is not used here. You're right it's all in the showcase.  From the showcase, you take the 4th place in performance & the 2nd place in composition. These two places add to be 6. Which is used, and shown on the music box(on the circle with the + sign). This is the only dial(circle with an icon) given to you. But, that's where the 4 and 2 come into play. You put the dials(the music note and the trophy) at 4 & 2. Then after you are just doing the equation given with these two numbers. 

E.g:

Since 4+2=6

What is 4x2=?

Or 4-2=?

Or 4/2=?

Please let me know if this was more helpful! If not, I can try again to re-explain it. :)