A NEW KEYBOARD INSTRUMENT

If we think of all the red arms rotating in one direction and all the blue arms rotating in the other direction, we might see how one expands and the other might contract...
Each arm represents not only a direction of motion but a multiple, an expanding, contracting, concave, convex, inside and outside.
We take 180 degrees as the limit of velocity... within this limit all of the notes with simple ratios fit into this relation of angle to polygon and are placed at the appropriate points.
We can see a pattern emerging of notes of a scale from F, F, A, to B, which can be played on an instrument.
The piano-like keys are a design for a curved piano.