I've been thinking of something unlikely- what if songs ARE in the game, but they're just shrinking the importance of them? Think Tomodachi Collection- the only way you could use them is thru the button in a Mii's room. Maybe something like that?
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I'm talking about LTD, forgot to clarify that
I thought you were talking about 3DS man I was crying... Anyway Songs probably just weren't implemented in time for the Direct