> I'm not sure how the pitch goes on a Theremin but I think it is
> logarithmic rather than linear.

Pretty much linear, but the highest octave (close to the antenna) tends
to squash.  

> My idea is what would a Theremin be like to play if it were linear
like a
> piano with each step being x number of millimeters distance to the
> antenna?

A lot sweeter.  I suppose you could do that, but you'd have to quantize
the distance, or describe a pretty interesting linearizing formula.




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