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Originally Posted by
The Listener
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Thanks for pointing that out... now I am confused which they are actually describing... "the beat" frequency, the phantom pulsation they describe is the one created by the brain and is the difference between two pure tones, very close apart, isn't it?
That's what "binaural beats" and hemi-sync is based on - on the fact that brain synthesizes phantom things when both hemispheres are synchronized and it allegedly has beneficial (and interesting) psychological effects.
While the Tartini (my homie - we have his square in Piran where he was born) tones are physical and created by the ear non-linearities, when two loud notes are played simultaneously, if I am not mistaken?
Probably related, just that one goes one perceptual level deeper - from the mechanical to the mind. In the end - everything is "synthesized" in the mind anyway, just a different mechanism obviously?
Thanks for adding the distinction, but I am now not sure if the BBC is not mixing both in the description above.
Or maybe I find it hard to differentiate it all.

Beat frequencies and difference tone are basically the same thing. One is below 20Hz, the other above 20Hz. You can record something with difference tones and slow it down, so the difference tone falls under 20Hz and you will hear a pulsation. Or you just play a double stop on a bowed instrument and figure it out.
A good read is "Wie die Zeit vergeht" by Karlheinz Stockhausen. There must be translations in other languages.
These pulsations or difference tones are there in the air or in the cable or on the speaker surface as the result of waves combining. As I said, you even can see them clearly in the waveform.
Binaural beats are a little different. They don't mix in a medium. They hit the ears without any mixing in the air, cable or anything. Not even crosstalk. So the only part they could mix is inside the nervous system. So the brain kind of makes them up, which makes them a psychoacoustic phenomenon.
If the same tones would mix earlier in the medium, it would be the same, but probably less pure/impressive. And it probably would not have the same effect on brainwaves and stimulation and so on, since your brain already hears it and doesn't have to process it.
Calling difference tones "non-linearities" is also not really correct, I think. Difference tones can be problematic, if they hit nonlinearities, though. There is a big difference, playing the interval of a third into a distorting amp vs. playing it on separate guitars and amps.
A good listen for difference tones into non-linearities is Jimi Hendrix bending the a on his g string up to the b in unison with the b on the b string.