Ok...
Ok. So you're hypothesizing that it's the non-learity of the ear that's producing that 3kHz intermod product, yes?
Ok. So let's say we're going to explore this hypothesis. First, what microphone do you plan to use that has a flat, very linear response out to 80+ kHz? Are you aware of one? Because you'll need to find one before this can be put to the test. And once you've found the microphone, then you'll need to find some transducer that has an equally flat and very linear response out to 80+ kHz.
So which microphone and which transducer will we use to put this to the test?
Yeah, it's pretty easy to simply say that it doesn't matter.
But we can also take what we do know, think it through, and get a pretty good feel for whether it would matter or not.
Let's say we have the perfect microphone and perfect transducer available to us. Record your trumpet and play it back.
First off, what do you expect the levels of those circa 80kHz harmonics to be? They'll certainly be far far far below the level of the fundamental and its near harmonics, wouldn't you agree?
And that means that any intermod products would be well below even those circa 80kHz harmonics.
Now given that the instantaneous dynamic range of human hearing is only about 30-40 dB, what are the chances that those intermod products would be of such staggeringly high levels to bring them within 30-40 dB of the fundamental in order for us to perceive them?
Pretty much zero if you ask me.
se
Regarding the transducer - the microphone - - there are more options.
The first choice would be the only mic intended for music recording covering the 100 kHz response :
https://www.sanken-mic.com:6015/en/product/product.cfm/3.1000400
https://www.sanken-mic.com:6015/en/product/freqpola.cfm/3.1000400
Trouble - I do not have it - and neither I do have access to it - yet.
As it happens that the representative for the Bruel & Kjaer in our country is a 10 minute walk from my home, I rang them up if they have any 100 kHz capable mics. Yes, there are even two available, meaning a stereo recording could be made. Problem? They are measuring microphones, requiring 200 V polarizing voltage, supplied of course by the matching B&K preamp, output of which is terminated by a proprietary B&K 7 pin plug. How to mate that to anything usual in audio is beyond me at the moment, but I have arranged for a meeting coming Monday to discuss the possibility to work something out. I will also know exactly which type of B&K mics are available.
As of recently, there is a privately owned Merging Technologies Hapi http://www.merging.com/products/hapi
in our country - to which I
might be eventually able to get access. This is DSD256/PCM384 capable recorder - and should be "flat" to 100 kHz - and above - but I did not see yet any objective measurements confirming this.
Second best option would be to use my Korg recorders - DSD128 and PCM192 - not entirely covering 100 kHz bandwidth; DSD going past 100 kHz, but starts rolling off around 50 kHz with 6 dB (or so..) per octave above that frequency, PCM192 being flat to about 80-85 ( from mmemory, give or take a few kHz) kHz with the customary brickwall filtering above that. It drops off to nothing in extremely small bandwidth.
It is also a logistics problem - as far as I know, Hapi requires DAW and I am not sure if it can work as a stand-alone recorder. ( It is out of my reach financially, so I did not investigate as far as I would have in case it was *affordable* ). And the studio in which it is located is dedicated to the recordings of piano - meaning I would have to bring musicians ( trumpet, percussion, violin, etc ) there.
As to the level of the harmonics extending beyond 20 kHz - please see http://www.cco.caltech.edu/~boyk/spectra/spectra.htm
My own experience with a SINGLE of my recordings so far tested with FFT (harpsichord) indicates a clear output to minimum 40 kHz - despite being only DSD64 recording using microphone that is "specified" to 20 kHz - which in practice obviously is exceeded. The levels are LOW - I will post a video on YT after I get my video software up and running - I am NOT photo and video guy, I treat both as the necessary evil. I will have to go trough 5 years worth of recording to find other recordings that may include ultrasonics (from percussion, brass , strings and the like) .
Regarding instantaneous dynamic range of human hearing being only 30-40 dB - I am not so convinced about that. Any studies confirming it is really that low ? But it is a good question worth investigating further if any of the effects of ultrasonics are not being masked by this.
This guy is just looking for attention. I suspect there's reasons for that, but I'm not going to speculate on it. It might help if you could delete the thread. If you can't do that, change the title to take his name out of it. Having his name in the headline just feeds his neediness.
I am in no way needy of attention to myself - or my name. I would have created such or similar thread if I wanted to - by myself, long ago - wouldn't I ? I even prefer NOT to have my name in the title of the thread.
All I want is to put the audibility of the effects of ultrasonics on the map - and I do not require any personal endorsement, credit etc for it.