It's tiresome listening to the Flat Earth Society explain what a human being hears in terms of math and Newtonian psychics.
A human is a miracle of integrated being that hears with its ears, eyes, brain, CNS ,memory, conscious cells in its stomach and many other ways we know nothing about. Not to mention its soul. Of course if you can't see something you have trouble discerning, as you do with seeing if you can't hear.
Conductors in their 80's who can't hear a 5kz tone, routinely correct players playing 10hz tones!
We humans are several orders of magnitude beyond explanation
by Quantum means, much less by some fool running a double-blind "test".
There are more things on heaven and earth than are dreamed of in your tests , Horatio.
One of them is when you leave the mystical out of the musical equation I don't know what answer you may get, but I do know it will be wrong.