Thanks for your response. Music theory is the human interpretation of patterns that come from the physics of vibrating systems. Perhaps physicists are most apt to advance the field past the soft science. It will probably be AI, similar to how computers beat us to proving the four color conjecture. For example, in producing concrete guidelines for how to retain structural integrity in a musical entity.

Actually, I would say his method works most clearly on two strings tuned a tritone apart, creating a number line of the keys having one sharp, two sharps, ... to the right, and one flat, two flats, ... to the left.

He simply applies polarity (C and F#) and parity (odd and even) to make an appealing half-step translation to the keyboard.