opaqueice Wrote:
> About the asymmetry, is there a good way to quantify what we mean by
> that? It seems that the characteristic of my artificial sound which
> made the polarity audible was its asymmetry, but I don't immediately
> see how to make that precise... maybe the higher odd moments, meaning
> the average of the third or fifth power or whatever of the waveform?
>
> If there were such a measure, one could apply it to music or sound
> waves and see which are likely to be audibly different after a polarity
> reversal.The mean of the cube is indeed used in statistics as a measure of
asymmetry ("skewness").
I'd be very surprised, though, if you could detect a polarity change in
a harmonic signal (i.e., a sum of sines and cosines at frequencies that
are integer multiples of the lowest). I think somebody who could hear
them said they were especially noticeable in bells, which sound like
bells because the tones are not harmonic. Your test signal was not only
asymmetrical but nonharmonic.
--
tom permutt
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