Shin,
Going back to when you were specifying the AT drivers for your new speakers I remember that you were looking for a mid/woofer with very good acceleration and a light cone to match well to the speed of the RAAL ribbon.
Something I wondered at the time but never asked was, how does the acceleration and weight of the cone effect the sound? Surely the 'speed' of the driver is directly related to the frequency extension. A driver moving 2000 time a second will reproduce 2KHz and nothing more, whether it is a light cone or a heavy one.
Exactly 2Khz is 2Khz. Its more interesting to consider what happens when producing thousands of frequencies at once from a single driver. What does matter is impulse rise time and this has little to do with the moving mass and suspension parts which might seem the obvious factor for how something like acceleration factor is determined. Instead a large part is voice coil inductance. Drivers with high inductance suffer from hysteresis or memory effect and tend to have rise times that differ depending upon where the voice coil is within the gap. Such a driver covering bass and mid frequencies will be using some excursion and trying to reproduce midrange. The end result is easy to imagine.
Subs are notoriously high inductance drivers but because of their limited bandwidth, the wavelength of the frequencies produced and our relative insensitivity to bass, we don't notice. Shift the frequencies higher and the range wider and drivers with high inductance just don't cut it. High inductance alsol naturally creates a low pass behaviour on the top end of the response.
Audiotechnology use SD or Symmetric drive in their motors which is a theme on a copper sleeve through pole piece. Nicked from the AT website, this results in:
A greater usable frequency range.
Lower intermodulation distortion.
Linear rise time no matter where the voice coil is situated in the gap.
A more consistent impedance curve.
Much lower inductance of the voice coil.
Rise time is increased up to a factor 10
Many of the high end drivers use copper in the motors and in the right places all the above will be influenced for the better. Seemingly most effective, but dependant on the motor design, is the copper sleeve through the pole piece.
Am I missing something about how to match cones to ribbons? Is it more to do with the decay pattern of a light cone, or the spectral make-up of the distortion of a light cone matching better or something?
CSD rather than rise time might be worth looking at. TBH I don't see much point in obsessing too much here because good drivers of today, unless breaking up or whatever, are doing well enough. Just look for a clean nature at the point where your crossing the ribbon and that's not really a big task since 2.5-3Khz doesn't have a whole lot of energy. I'm more worried about getting the power response right with a ribbon than matching the CSD.
My own design forced a shift from 3 to 3.5 way, rolling off the lower midrange in the MTM and letting the other carry on up to meet the tweeter. This change was one of those big pieces that really just sounds right in comparison to the 3-way. A look at the offaxis vertical measurements show a much smoother transition with 3.5way. On axis measurements are only a small part of the picture.
RAAL ribbons are the best true ribbons I have heard. Most of the commercial speakers out there do seem to use crap ribbons.
RAAL seem to be doing things well. The distortion performance is unusually linear in its relationship with rising SPL. It starts relative high (in comparison to the best dome tweeter) at low level ie. 85dB/1m but crank it upto 113dB/1m and its risen much less than a dome would have:
Stick a crossover on that at 2.5Khz and you'd be looking at less than 2% distortion across the operating bandwidth of the RAAL and that at 113dB/1m.
The RAAL's or ribbons in general suffer from virtually no thermal compression. The ribbon element is fully exposed to air and has a huge radiating area compared to a normal dome tweeters voice coil enclosed in a gap.
I don't think you'll see the RAAL used in affordable speakers though.