RE: "Do you hear what I hear???" [big, big third discus sion]

Joseph Pehrson wrote,

>I'm finding that I'm hearing pretty much what Gerald Eskelin is hearing...
>in *BOTH* cases the triangle waveform seems to make the thirds seem
>"flatter" when the fifth comes in...

I think that's the opposite of what Jerry was hearing, which was that the
thirds seemed to get sharper when the fifths came in, though he found the
effect to be much stronger with the sine waves (right, Jerry?)

>Could there be some mathematical explanation in a kind of Fourier analysis
>approach that could explain why the different timbres could result in a
>different "perception" of these thirds... or doesn't that "wash...??"

Not Fourier analysis, but psychoacoustics: sine-wave components do tend to
_subjectively_ "push" one another apart -- that's what those German papers
were about . . .