I’m following this with interest, though I confess to not understanding the mathmatical stuff in here.
That said 
it’s interesting to note that it’s been shown that humans are affected by “sound” outside the limits of hearing, of course, we don’t perceive it as sound.
[sounds] above the human audible range (max. 20 kHz) activate the midbrain and diencephalon and evoke various physiological, psychological and behavioral responses.