If he did, he would design a well-tempered one that had a hope of playing in tune.

Seriously, though, I think he'd spend his time instead developing whole-body interfaces to synthesizers, such that his new works, performed through a sort of interpretive dance, would trigger such a transcendence of our previous conceptions that we'd split our mental chrysalises and emerge as new forms of life, able to finally intuitively understand the deeply metaphysical language of dogs.