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There are subs that get down to 10-15 Hz, so firstly, what have they done specifically to overcome these innate issues?
And secondly if I use a microphone to measure the output, is it tuned to have the same shortcomings as the human ear and if not how is it ever possible to use measurement to optimise a speaker?
The second part of your question is interesting, but I think it boils down to having a repeatable reference. You could EQ a speaker to make it sound more like you think it should sound at varying levels (the old "loudness" control) and there's the Harman room curve that has statistically determined that a bass boost sounds most natural to people on average (I don't know if I've ever seen any mention of the actual level though). But if the measurement itself tried to do that you would never know where you were at.
For music anything below 25hz is hyperbole unless you love pipe organ music and most music lovers are more interested in bass quality than quantity, or at least rank quality first.
I flinch when I see measured traces in room where they have spend many hours and much cost getting it dead flat.
All this is to be expected, but as I further turn the frequencies down the driver continues to respond (vibrate) even down to 10Hz where it pulses nicely. My question "If the driver is still moving, where did the sound go?"