mcb wrote:In the end it comes down to the same thing - wave shape is determined by the frequency, amplitude and phase of the component sine waves, and there ain't nothing else.
This is true of course
at the ear - the problem has always been creating an array of speakers that produce in their cones, frequencies, amplitudes and phases that, once the sound waves have reflected all around the building, generate the frequencies, amplitudes and phases at each listener's ear, that the listener would expect to hear from pipes.
It's relatively easy to produce an 'exact' copy of a pipe organ
at the loudspeaker, because as mcb says, all you need to do is to reproduce the F,A & P experienced by the original sampling tool, but as the sound spreads out into the building, the reflections and so on become a more significant part of the listener's experience. (This is why most digital organs sound best through headphones - certainly mine does!). The key to creating something 'realistic' is having lots of channels of amplification, and speakers so that you get lots of independent sources of sound.
Now of course, pipe organs are themselves notorious for problems of balance within and between divisions, and also for sounding different in different parts of the building, and the larger the organ and building, the worse this gets, so it's not all one way traffic.