I don't know why this didn't occur to me earlier. One of Ron Carter's catchiest bass melodies, to me, has always been "N.O. Blues." For decades, I've thought, "What do the central recurring notes on the bass and piano remind me of?" The answer should have been obvious: "Three Blind Mice," if the mice had formed a jazz combo.
If Carter's interpretation is too raucous for you, seek out the recently released Einstein Baby Lullaby Academy/Monarch Baby Lullaby Institute rendition. Their rendition of "Three Blind Mice" recasts the tune as a new age lullaby, meant to induce sleep, though not in any great hurry.