Sean, methinks you paints with a wide brush:
"For sake of clarity, these figures are based on the accepted principles that vented systems fall at a rate of 24 dB's an octave and sealed designs fall at a rate of 12 dB's an octave..."
Either type can be tuned to have a different rolloff rate in practice. And especially in the case of a vented system, it's the exceptions to the 24 dB "rule" that are by far the most interesting.
Note that, given a 90 dB reference level (longterm exposure to which will lead to permanent hearing loss), a signal that's -12 dB at 25 or 30 Hz isn't much above the threashold of audibility. Of greater real-world interest would be the -6 dB frequency, in my opinion.
It really is quite easy to design a vented system with an approximately second order characteristic over the first octave or so of rolloff, below which what's happening is of relatively minor audible significance. Such a system would be about twice the size of a Qtc = .7 sealed box using a comparable woofer, but would have about 1/2 octave greater extension. Obviously this would involve a much lower tuning frequency than would be the "rule" for that size vented enclosure. But it's often the exceptions to the rules that are the most interesting.
If we're comparing equal-size enclosures, both with an approximately second order characteristic over the first octave or so of rolloff, having very similar -3 dB, -6 db and -12 dB points, then the optimal woofers would of course be very different. The sealed box woofer would be approximately 1.8 dB less efficient than the vented box woofer. In addition, the vented box woofer's parameters would be better suited for good midrange performance, which might make a significant difference in a two-way system. I know it's not quite as simple as I've made it out to be here (I've ignored the issue of minimizing coloration from the vent itself, for example), but my point is it's quite possible to design a vented system that embodies many of the desirable characteristics of a good sealed system.
Duke
"For sake of clarity, these figures are based on the accepted principles that vented systems fall at a rate of 24 dB's an octave and sealed designs fall at a rate of 12 dB's an octave..."
Either type can be tuned to have a different rolloff rate in practice. And especially in the case of a vented system, it's the exceptions to the 24 dB "rule" that are by far the most interesting.
Note that, given a 90 dB reference level (longterm exposure to which will lead to permanent hearing loss), a signal that's -12 dB at 25 or 30 Hz isn't much above the threashold of audibility. Of greater real-world interest would be the -6 dB frequency, in my opinion.
It really is quite easy to design a vented system with an approximately second order characteristic over the first octave or so of rolloff, below which what's happening is of relatively minor audible significance. Such a system would be about twice the size of a Qtc = .7 sealed box using a comparable woofer, but would have about 1/2 octave greater extension. Obviously this would involve a much lower tuning frequency than would be the "rule" for that size vented enclosure. But it's often the exceptions to the rules that are the most interesting.
If we're comparing equal-size enclosures, both with an approximately second order characteristic over the first octave or so of rolloff, having very similar -3 dB, -6 db and -12 dB points, then the optimal woofers would of course be very different. The sealed box woofer would be approximately 1.8 dB less efficient than the vented box woofer. In addition, the vented box woofer's parameters would be better suited for good midrange performance, which might make a significant difference in a two-way system. I know it's not quite as simple as I've made it out to be here (I've ignored the issue of minimizing coloration from the vent itself, for example), but my point is it's quite possible to design a vented system that embodies many of the desirable characteristics of a good sealed system.
Duke