Although you can't hear a pure sine wave test tone above 15KHz you probably can sense 15 KHz roll off. A 10 KHz signal (for example) which is not a sine wave may have a wavefront steeper than a 15KHz sine wave. Based on my own (68 yr) ears I think that the hearing sense involves steepness of wavefront. I can think of no other explanation for what I hear
A steeper wavefront than a 10 KHz sine wave indeed means there is a much higher frequency signal there. In fact stereo music is two channels of a single but complex sinusoidal waveform containing a great many frequencies (if looked at over a sufficient time period). Fourier Tranforms are a method to extract energy content by frequency.
Your observation does not imply that you necessarily hear these much higher frequencies (unusual but we know dogs do - so it may be possible).
The only explanation I have is that you may be hearing some form of intermodulation distortion (difference tones) in the ear. It is well known that this happens at audible frequencies, however, I have not seen research to indicate that it conclusively does not occur above audibilty. For example, normally people can't actually hear a 25 KHz tone or a 21 KHz tone but might some people actually hear the 4 Khz difference tone between them? A crazy thought!
It seems unlikely that difference tones might be used in musical instruments above audibility....however the non-linearities and intermodulation distortion in the ear have been studied extensively and does exist.
Intermodulation in HearingMight a shimmering Sabian cymbal produce very high frequencies that the ear can perceive at lower frequencies through intermodulation distortion? I suspect not, as the industry would jump to publish many papers and sell a whole bunch more equipment if they could conclusively prove this sort of thing....and I have seen nothing so far. And man has had thousands of years to play around with different forms of musical instrument....so surely someone would have discovered it!
Nevertheless you may be on to something!