actually, that can all be synthesised: nobody can be bothered.
All the above are simple resontaors - a lot of them to be sure, but nothing a good bit of software and a few DSPS couldn't handle.
Exactly; wehn it comes to duplicating te soumd of a bity opf cast iron and some felt and bits of wood and teh a;bert hall, its cheaper to hire a sodding grand and an engineer and the albert hall than spend a year working out te major resonances in t above and duplicating them.
Nevertheless, it can be done. I made a remarkably good 'Leslie' speaker out of an all pass phase shifter and a delay line once..enough to show me that a DSP approached based on the above could certainly simulate a variety of rooms and musical instrument soundboxes. Rooms are not that hard to do either with various reverberators, but nothing on the market I have heard is actually that good.
I even worked out te way to do it. Take your piano, hit it sharply with a hammer, and do a time domain analysis, and approximate with N delay lines and phase shifters, and you have a reverberant structure that is essentially your piano. Do it with soft and loud pedals on and of, and you have the response you want. Do it in a room and you have the response of the piano in the room. Now add some basic string tone, and the piano now starts to sound like a proper piano.
Give me 1/4 million and five years, and I'll do it for you..
Ultimately the problems of doing accurate SYNTHESIS were overcome by the art of sampling. Rather like the original ..bugger I forget the name - you know with a million lops of tape running inside it. Think Moody Blues..