After playing some music loudly through them yesterday and today, I took a fresh set of measurements. What a world of difference! The 15W mid-woofer now has its resonance at around 65Hz in-box, which is not far off the mark for a predicted fb of 60Hz for a Qtc of 0.707. I'm sure more running would soften the suspension further and reduce the fb. Here is the impedance graph as I measured it this afternoon.
With much better and cleaner data, modelling the perfect XO for the E-IX should be a breeze. Or so I thought. I was aiming for a second-order Linkwitz-Riley crossover, but simply could not get the phase to line up even remotely closely. I tried crossing over from as low as 1,800Hz up to 4kHz, but it just wouldn't cooperate. Then I remembered the exact problem with the E-IVs, and that required a 4th order crossover to get good phase alignment.
Some of you might think 4th order is just 2 order too many LCR components. If it was a text-book 4th order, then absolutely. But I managed to get away with implementing a 3rd order electrical on the LP filter and a 2nd order electrical with a zobel on the HP filter. This combination crosses the 15W to the MDT37 at 2,200kHz, and results in a 4th order Linkwitz-Riley symmetrical transfer. The XO is deceptively simple:
For even-order crossovers, a handy way of telling if the phase and drivers are aligned is to reverse the polarity of one driver. With perfect alignment, there should be a deep and narrow null where the sound cancels out at the crossover frequency. This is the exact result I managed to extract tonight with a little bit of LspCAD wizardry. A picture paints more words than I can type.
The transition from the mid-woofer to the tweeter is almost seamless, and the gentle roll-off beyond 10kHz complements the similar response below 80Hz. With room-gain added into the equation, these little babies would have no problems hitting a clean 40Hz or lower in a domestic listening environment.
I'll now take an inventory of the parts I need and send for an order to build the XO for both the E-IX and the revised E-IIIs tomorrow.
James