Ok, I retract my statement on transient responce. I will say that a more massive cone requires more energy to move than a lighter one, indisputable physics, so the heavier cone will require a more powerful motor structure to offset the higher mass and thats where inductance, magnetic fields, and all that calc based physics comes in, which I may add I bombed. If you put the same motor on a low and high mass cone, the low mass cone should have a better transient, correct? Like ribbon tweeters with ultra light diaphrams.
A heavier moving assembly will not move as far as a lighter one on the same motor and power. When fed the same signal, both drivers will reproduce it, as an example, the lighter driver will move 1/2" each way from rest and the heavier only 1/4". The lighter driver will be louder (assuming the same piston area) because it displaces more air. It will move 2" total for every full cycle. The heavier driver will move 1" total. Because it isn't moving as far, its peak velocity and thus the rate of change required to switch direction isn't as large, however its still moving the same number of cycles per second. It's total velocity will be less but its transient response will be the same. Transient response is defined as the rate of change of current applied. The resistance to change in current is inductance. Mass has nothing to do with it. Mass effects sensitivity. How far the driver moves with a given signal. It does not dictate how fast the magnetic field in the coil reverses polarity.
Ribbon tweets are super efficient because of their super light diaphrams. Their inductance is very low because they are an electrostatic device and don't have a conventional coil. The low inductance gives them their great transient response.
If mass were a factor in transient response, ported enclosures would have absolutely terrible transient response right at resonance. At resonance the mass of air in the port and its inertia are working aginst the movement of the cone and the effective mass of the moving assmebly is extremely high. This doesn't effect the transient response at all.
As for a low Fs, I still use it for predicting the character of a speaker. I had heard to select a woofer with Fs in the 20's for SQ. Choose Fs in the 30's for street bass, and higher than that for SPL. Does that in itself not show Fs is a sign of the woofers design potential? If you have a silver bell, and a gong (that is the word for that big asian drum right?) the one with a lower Fs playes a lower note. For a woofer, it is more eficient aproaching its FS.
Those are all gross generalizations that don't nearly always hold true. If everything was done free-air then Fs would matter a lot. Once you add the box and the car it matters very little, it IS a factor but not nearly the only one or even the most important.
For comparing two speakers, I use my known box volume and plug Vas and Fs into the standard equations. I find that the smaller woofer, despite higher Fs will offset this with a much lower Vas and thus end up with a lower F3 in the same sized box as a larger woofer. Of course a bigger woofer is better all around if you have all the space you want, but for a fixed volume and ignoring efficiency, I find a smaller woofer tends to win in low frequency extension. Although to be fair, I havent crunched any numbers on woofers smaller than a 10. I doubt a 8" could have a lower F3 in the same box as a 15", and if it did it would be much less loud at any referenced power level and frequency anyway (in a subwoofers frequency band). Anyway, I'm a novice and I'm still learning so lets keep up the discusion. I just like hearing from people that know their stuff versus people that cant even tell me the difference between a sealed and ported box. Thanks.
The difference in loudness is what determines how well a driver really hits the lows. Rather than looking at F3 look at actual SPL at the freq in question. The larger driver will most always be louder regardless of the realtive F3s involved.
Run a plot of the JL 10w6 (original) and the RE XXX 12. Put them both in the same 1.5 cf box (.707 alignment for the 10w6 and .62 for the XXX). The JL has the lower Fs of 23hz vs the 27 hz for the XXX. It also has the lower in-box F3 (38.5Hz vs 43 Hz). Now feed them the same 100w signal. The curves meet @50 Hz. Above that the XXX is about 2 dB louder below that the difference is less than 1dB.
Now add in a JL 12W6 (original) in the same 1.5cf box and same 100w it will walk all over both of them down to below 20hz. Which is better at the lows?
I'll give my vote to the larger sub for starters. From there it becomes a factor of the combination of Fs, Vas and Qts and the amount of space I have available.