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Default Frequency response, mass vs. inductance

I have a question. Someone on a message board I usually post on talked
about woofer speed. I assume what this translates to is frequency
response (ie 1/time=frequency). He also posted a link, which I read:
http://www.adireaudio.com/Files/Tech...ooferSpeed.pdf
At the end of the page it shows a graph, with the frequency response of
the speaker they used. To me, inductance would have little or no effect
on a speaker unless, it were a midrange or a tweeter. And from this
graph, mass still seems to dampen the signal more throught the
frequency range than does the inductor, which is should I would think.
(ie xl=2(pi)(f)(l)) When it does eventually does get to the higher end
the inductor does not seem to cut the signal all that much.
So what I would like to know is, if the inductance is the most
important part, why not make it small, and increase your frequency
response of the speaker? This probably would not effect a woofer all
that much if the woofer was used for bass only or would it? I find it
hard to believe that the mass of the cone has nothing to do with this
at higher frequencies, which is why you cannot use a tweeter for a
woofer.
And by cutting down the inductance would also mean a smaller coil and
maybe larger wire? Wouldn't that be a problem?