opaqueice Wrote: 
> 3) there is no distortion, so the speaker cone's motion is symmetrical
> but reversed in phase.  The sound waves produced differ only by a
> "polarity reversal", and the human ear+brain can distinguish the
> compression versus rarefaction type waves.  However I'm not sure this
> possibility makes sense, because it's not clear to me a real sound wave
> in air can behave that way, since I think compression must always be
> followed by rarefaction, and the other way too.  On average the
> pressure probably has to stay fixed to the room pressure, otherwise it
> seems there'd be a net flow of air towards or away from the speakers.I don't 
> think you have said this quite right. The cone moves forward and
backward, and the pressure indeed varies around the atmospheric
pressure: compression is followed by rarefaction. Even if the backward
motion were only back to the neutral position (which, as you say, would
be a DC offset, which you have removed, so it isn't), it's still moving
back.  It just moves back differently than it moved forward: ideally,
fast with a sudden stop, as opposed to the smooth turnaround through
zero velocity at the forward end.

Of course, you have suggested in other posts that physical objects
don't really move like that, and I agree: the cone, the air and your
ear are all going to make the wave more nearly harmonic because that's
how they all like to oscillate.  It will still be asymmetrical, though,
and I don't find it implausible that the asymmetry will be perceptible. 
I also don't find it all that farfetched that asymmetrical transients
play a role in people's perceptions of "musical" material, even though
you are quite right that most instruments spend most of their time in
harmonic motion that is essentially steady over much longer times than
the period of the sound waves.

What is interesting to me is your description of your perception,
particularly the part about pitch. Now, a very simple experiment will
serve somewhat to distinguish different phenomena: move. What happens
if you sit behind the speaker? If the speaker is faithfully reproducing
asymmetric waves, you might hear something more like the opposite wave
from in front. If, on the other hand, the speaker (or, rather less
likely I think, the electronics) is distorting the two signals
differently, it may not make much difference where you sit.

By the way, I believe most people perceive a remarkable change in sound
from a sine wave played by a single speaker in an ordinary room, just by
turning their heads.


-- 
tom permutt
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