Finer details aside, what this tells us, though, is something remarkable. It says that bass reflex is not a slam dunk boost or extension of the bass because it (presumably?) doesn't give the same pressurization gain in real listening rooms that a sealed speaker does.The transition does have a slope, just not -12 dB. Drive the speaker at constant displacement. Take the SPL at a given frequency in free air and add the SPL calculated from the pressurisation formula. Plot this for each frequency and you get a curve. Starting at high frequency, the curve falls at -12 dB / octave. As it approaches the SPL level from the calculation, the curve will start to level out.
The problem is that this doesn't represent real life. Real speakers don't have a constant displacement as the frequency varies. The displacement varies with frequency to arrive at a flat ("constant") frequency response. So as the frequency decreases towards the speaker's LF -3dB cutoff, the displacement, and thus the SPL due to "pressurisation", increases. This results in a peak in the bass response curve above the cutoff. Once the displacement becomes constant below the LF cutoff, the SPL also becomes constant. For all sane combinations of woofer displacement and room volume, this is a lot lower than the SPL measured above cutoff. So to get a better match between "speaker SPL" and "room gain SPL", the speaker displacement has to start rolling off well before cutoff. Another way of saying this is that the speaker / enclosure should be tuned to a much lower Q than the usual 0.7 or so. I haven't run the numbers, but I feel something close to IB (Infinite Baffle) would be optimum. Maybe "The Cult Of The Infinitely Baffled" were right...
As I mentioned in an earlier post, the SQ (Sound Quality) side of competitive car audio take advantage of this. Many car bass drivers are designed to perform best in enclosures little larger then the driver. Done right, the resulting speaker has an early droop in frequency response above cutoff that nicely counteracts the "cabin gain" hump. Smooth, extended bass is the result. Doesn't sound so good if you put it in your lounge, though.
It also tells us that a small sealed speaker that, on paper, may look bass-light because of its -3dB frequency response figure will, in the appropriate room (maybe with some gentle EQ), give beautiful bass all the way down to 20Hz or whatever (maybe not so remarkable, because headphones do this, too...). People obsessed with 18" subwoofers may really be wasting their time unless their rooms are huge.
It also occurs to me that the best sealed rooms ever encountered are probably anechoic chambers. Any implications for discrepancies between speaker specifications versus the reality in real listening rooms?
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