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Then one must wonder what you're still doing on Audio Circle -- and arguing futilely against established science.
So it's really an academic question for most folks then?
The point is, I think it’s interesting that an objective physiologic measure shows a difference --every time. But at the same time nobody I know of can actually hear the difference. Maybe some of you guys can. I can’t.
Quote from: stereocilia on 24 Oct 2008, 09:16 pmThe point is, I think it’s interesting that an objective physiologic measure shows a difference --every time. But at the same time nobody I know of can actually hear the difference. Maybe some of you guys can. I can’t.I generated an asymmetric test tone once that made it relatively easy for both me and a friend to hear after a little practice. One polarity sounds slightly higher-pitched than the other. I can send it to you or tell you how to generate it, if you'd like.
Only if it's no hassle; of course I'm curious. Is it a .wav file or some such thing?
sin[x]+sin[2x+pi/2]+sin[3x+pi]+sin[4x+3 pi/2]+...
It occurred to me after I thought about it bit more that I have a peripheral memory of a theoretical explanation for the difference in ABR wave morphology between condensation/rarefaction. I think with condensation the stereocilia bend in one direction to generate a nerve pulse, and for rarefaction they bend the other way, which is intuitive. Unfortunately, what I don't remember is why that makes a difference. I'm too close the edge of being a complete bandwidth waste at this point...so...I'll stop here.
Quote from: stereocilia on 25 Oct 2008, 01:42 amOnly if it's no hassle; of course I'm curious. Is it a .wav file or some such thing?I could make one and email it to you if you PM me your address. Or you can do it yourself - make a test tone consisting of Code: [Select]sin[x]+sin[2x+pi/2]+sin[3x+pi]+sin[4x+3 pi/2]+... You only really need a few terms, but the more you add the more asymmetric it gets (try plotting it and you'll see what I mean).Quote It occurred to me after I thought about it bit more that I have a peripheral memory of a theoretical explanation for the difference in ABR wave morphology between condensation/rarefaction. I think with condensation the stereocilia bend in one direction to generate a nerve pulse, and for rarefaction they bend the other way, which is intuitive. Unfortunately, what I don't remember is why that makes a difference. I'm too close the edge of being a complete bandwidth waste at this point...so...I'll stop here.It's because the voltage generated by an inward bend of the cilia is different than for an outward bend. I saw a talk once where the guy had some plots of the voltage as a function of cilia bend angle (or something equivalent). To a first approximation they act like rectifiers - they only respond to pressure, and not to rarefaction (or the opposite - I forget). Actually it's interesting - the test tone above sounds higher pitched in one polarity than the other, and I think it's because if you look at the waveform you'll see that the positive part is kind of higher frequency than the negative part. I think the pitch change is due to that and the fact that the cilia responds asymmetrically.
I could make one and email it to you if you PM me your address. Or you can do it yourself - make a test tone consisting of Code: [Select]sin[x]+sin[2x+pi/2]+sin[3x+pi]+sin[4x+3 pi/2]+... You only really need a few terms, but the more you add the more asymmetric it gets (try plotting it and you'll see what I mean).Quote It occurred to me after I thought about it bit more that I have a peripheral memory of a theoretical explanation for the difference in ABR wave morphology between condensation/rarefaction. I think with condensation the stereocilia bend in one direction to generate a nerve pulse, and for rarefaction they bend the other way, which is intuitive. Unfortunately, what I don't remember is why that makes a difference. I'm too close the edge of being a complete bandwidth waste at this point...so...I'll stop here.It's because the voltage generated by an inward bend of the cilia is different than for an outward bend. I saw a talk once where the guy had some plots of the voltage as a function of cilia bend angle (or something equivalent). To a first approximation they act like rectifiers - they only respond to pressure, and not to rarefaction (or the opposite - I forget).
I can tell you from experience it’s easy to see the effect of polarity when measuring the auditory brainstem response. However, I would not conclude from this that it is important to preserve it.
But at the same time nobody I know of can actually hear the difference. Maybe some of you guys can. I can’t.
Quote from: stereocilia on 24 Oct 2008, 09:16 pm But at the same time nobody I know of can actually hear the difference. Maybe some of you guys can. I can’t.On the other hand, everyone I know (anyway everyone to whom I've demoed the phenomenon, and that's not just "audiophiles") can hear the difference. One fellow even wrote me a pretend-hate-mail saying that he can't listen anymore without taking polarity into account -- nor can I.
We've talked about signals for which discriminating polarity is easily done, but I wonder for which kinds of signals (test tones, or otherwise) are humans unable to do so? OTOH, I suppose it doesn't matter as long as the signal of interest is music, but the way our auditory system handles sound is really interesting, I think.
When it comes to natural sounds this means that for many instruments the only possible effect of polarity is on the initial wavefront transient.
I can help with that a little bit. First, only signals composed almost entirely of a fundamental and its harmonics have any chance of having a well-defined polarity, because anharmonic components will destroy the asymmetry. Second, the signal must be quite asymmetric (by "asymmetric" I mean the positive voltage parts are different from the negative voltage parts) - which means the harmonics must have a phase-shift relative to the fundamental and each other. Probably one could add more, but those are necessary. When it comes to natural sounds this means that for many instruments the only possible effect of polarity is on the initial wavefront transient. For example a triangle or cymbal almost certainly produces a symmetric "ringing" waveform apart from the very beginning. But some instruments (like brass instruments) make pretty asymmetric waveforms even during a note.
Okay, so waveforms looking like the virtual trumpet example you linked earlier, http://www.ugcs.caltech.edu/~tasha/Images/myTrumpetC261Zoom.jpg , are periodic yet asymmetric, therefore inverting the polarity will make a difference in the perceived sound. Is that about right?
I guess once I get the idea that any waveform can be reconstructed from adding the right sine waves together it's difficult to understand why adding together the exact inverse of those same sine waves should sound different. It's possible that I haven't had enough math training to really wrap my head around this.
If the music is recorded with attention paid to preserving the polarity of the waveform it may sound more realistic. In an ideal world anyone involved in professionally recording music would take a Hippocratic Oath,ie; to first do no harm to the sound of the music produced during a performance.