bitflipper
Obviously, in acoustical reverberation phase is all over the place as each reflection is delayed by different amounts. It stands to reason that this would be a huge factor in determining how the reverb wash sounds. But gosh, how does one go about analyzing it? You'd need a supercomputer to ray-trace every possible path, calculate their phase shifts, and sum them moment-by-moment. (Although analyzing a plate has got to be far, far simpler than a cathedral.)
Measuring phase is difficult, at least as far as specific phase relationships in a reverb after the first 50 msec or so. I listen for diffusion by ear. If the initial part of the reverb sounds dry (at 100% wet), I presume that it is fairly phase coherent. If it sounds wet, it is diffuse. If it sounds strongly colored, there are probably just a few short early reflections in there.
And now you tell me that the speed of sound varies with frequency in a plate. This is a mind-blowing revelation. Why is that the case in steel but not in air? In all my reading on acoustics, I have never come across any reference suggesting that the SoS is not constant in homogeneous materials. You see plenty of tables that say "here's the speed in water, copper, steel" but none have a footnote saying "this is at one kilohertz only".
Jonathan Abel explains it way better than me, in the UA WebZine post from June 2005 that apparently won't show up as a link for me.
The speed of sound in air is consistent for all frequencies. The dispersion in plates is due to the specifics of the bending mode. I don't claim to understand it from a physical standpoint - but I can hear it, I've read about it, and I know how to model it.
Thanks again, Sean, for the information, for another great product, and (best of all for us po' folk) keeping the price down to a week's worth of peanut-butter-and-jelly sandwiches.
Thanks for buying the plugin! And thanks to y'all here in the forum for your kind words!
Sean Costello