Don't know if I carefully constructed this, making two full scale samples was just the easiest thing to do. Either there is a pitch or not and there definitely is a pitch. People that I've shown it to heard it and they're not musicians with well-trained ear.
And yes, to me it was quite...
I think the brute force way to do this in Audacity would be to delete samples until you have just two separate samples. 0.5ms is way too long.
Btw I wouldn't expect that you heard anything for 0.1 seconds delay between the pulses because that would correspond to 10Hz infra sound. 1-10ms spacing...
Yes, exactly - non repeating. That's what I mean that there is no frequency, so I think the 10/10.1Hz is an unnecessary complication. Sending 2 pulses after each other works just fine. Explaining this with frequency only creates confusion imo.
I'm at vacation right now with just my phone, but...
Hey, the point is that there is no frequency. I tried this with just 2 isolated pulses and there is still an audible pitch, which quite predictably depends on the delay between the pulses.
This logic is flawed because then the first harmonic would be the fundamental. We agree that only 2f, 3f, 4f... are the harmonics (multiples of a fundamental), so 2f is the first harmonic, not 3f. But I agree that 2f=second harmonic is easier to hold in your head. The word harmonic in this case...
Harmonic = multiple of some frequency.
Subharmonic = fraction of some frequency.
For example the first subharmonic is one half of the fundamental frequency.
And I totally get your confusion because then it fact becomes the new fundamental frequency with new harmonics (those actually matter...
Yes, the envelope has the same fundamental frequency as one of the inputs. The other frequencies are contained in the spectrogram I posted. The (falsetto) voice does have a strong first harmonic that generates its own sum and difference frequencies. This generation of intermodulation products is...
Very few things in science reach safe conclusions, but I would say it's safe to call this AM.
I don't quite see why perception matters here - the witness is my phone, not my ear.
Yes, you are right of course, I just like to use the more precise term whenever possible.
Sure, it is a theory. I'm not gonna repeat myself, this is why I think it happens:
Edit: I just did it with a subwoofer playing at 800Hz while not even singing directly at it. I doubt that the voice had...
No, the voice doesn't affect the speaker. That's the joke, the speaker affects the voice and not the other way round. You can call it "nonlinearity" but all it is, is multiplication of the 2 sound waves.
The vocal chords are like the reed.
Sorry for not including the article. The reason why I'm asking this is to understand the Ewald sphere. This is not the first article that I looked into that derives this using the Ewald sphere, so I'm kind of stuck. Forgive me, should have included that in the post. I already have the intuition...
It's not as complicated as you think, the signal generator is just my phone playing a sine wave from an online tone generator. That's the whole setup, my mouth and my phone near it.
Edit: once again, this setup doesn't include the clarinet. This is what makes it reproducible. While only a few...