I can just picture him drawing out a violin on his magic parchment, summoning it, and mournfully playing off his own requiem.
Also, another thing regarding Minato's new-found form: Is that the default demon cloak associated with the Nine-Tails when his will has been conquered? I was always under the impression that Naruto didn't resemble the other Jinchus in transformation because of his Uzumaki heritage, which manifests as a more pure control, akin to the Sage's; hence the resemblance of the cloak to the Sage's silhouette. The lineage association is also hinted at when he gains the same abilities as his fore-bearer, Uzumaki Mito. Compare him to Killer B and the Hachibi: Both are in tandem with their respective beasts, but only B rocks the vanilla cloak (blood red and black chakra with the whole 'Gorillaz' vibe to the characterization). What of Ginkaku and Kinkaku, who were essentially in the same boat? They, too, internalized the Nine-Tails chakra, yet they raged in the vanilla cloak, so I don't think this is the vanilla manifestation for the 9-tails, at all.
Furthermore, I don't think he's simply 'leeching off' the gains Naruto made with Kurama and using that to tap the chakra sealed within him, at will. Otherwise, I believe he'd don the bubbly-red cloak that everyone else got when Naruto tagged them.
There's still a possible explanation using the heritage idea. Remember that old theory that Tsunade is Minato's mother, thus making Naruto a Senju? Just replace the Uzumaki connection with Senju, the direct ancestors of the Rikudo Sage which Naruto and Minato's cloak resembles, and you have your explanation.
May those who accept their fate be granted happiness; to those who defy it, glory.