Lindy Mayfield wrote:
> My idea is what would a Theremin be like to play if it were linear like
> a piano

But a piano is logarithmic, not linear.  Each key produces a frequency that
is 2**(1/12) higher than the one on its left, not some fixed number of Hz
higher.

(Actually original pianos didn't have a single fixed frequency ratio between
keys, but modern "tempered" pianos do).


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