"Do you hear what I hear???" [big, big third discussion]

Regarding Daniel Wolf's listening experiment:

> http://home.snafu.de/djwolf/24.19.WAV

>where the 10th is tuned 48:19 (or 24:19 plus an octave)
>and

>http://home.snafu.de/djwolf/5.3.2.WAV
>where the 10th is tuned 5:2 (5:4 plus an octave)

>The chords are played twice, once with sines, once with triangle waves, in
>each case, a sustained Major 10th is joined, with a delay, by a tone 3:2
>above the lower tone in the tenth:

Jerry Eskelin: TD 552:2:

>This is REALLY interesting, Dan. On initial hearing, both of the sine-wave
>thirds struck me as "good" (although I hear the difference clearly) and
both
>of the triangle thirds struck me as "flat." So, does timbre influence the
>perception of pitch and consonance? Evidently, it _does.

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...

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...??"
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Joseph Pehrson