A few personal comments/opinions (that stand to be corrected/modified):
1. The strings and soundboard are not very far apart (when I had a Yamaha G2, dusting the soundboard was very difficult as there wasn't more than an inch or so space between them). If a mic was 12 inches from the strings, the difference in distance between SB and strings wouldn't be significant - the mic would primarily pick up the loudest of the two sounds - I'm sure that would be the soundboard (try the guitar analogy/test).
2. Grand pianos have two bridges, one each for the two runs of strings; Steinway (and others) have a continuous connection between the two bridges which is to transmit vibrations from one set of strings via the SB to the other set. This leads me to think that the bridge is very important, and that it is very effective in transmitting string vibrations to the SB.
3. My friend and I did a (not scientific) test as to where the various frequencies emanate - we concluded that the commonly held belief that bass sounds come from the "left" side and higher frequency sounds from the "right" side of the piano is an illusion based on what we think should happen.
4. While strike transients are localized at the hammers, sound travels much faster through steel/copper than it does through air so that in effect the sound is transmitted instantaneously to the bridge(s).
5. Since the sound we hear is simply pressure pulses in the air, and these pulses are transmitted to the air by the vibrating strings and soundboard, wouldn't the very much larger soundboard transmit far more energy to the air than would a very narrow string? Isn't this why a solid body guitar has no volume? The strings simply can't transmit much energy to the air - it is the soundboard that does the trick.
6. The piano and the guitar are very similar from an acoustic point of view; both have strings that are struck, and which cross over a bridge at or near one end which is located directly on the soundboard.
7. It is really worth doing the solid body/acoustic guitar test to see how minimal the direct sound from the strings is. A solid body guitar can barely be heard at 30 feet - a good acoustic guitar can be heard in a small to medium auditorium without amplification. The soundboard is everything in guitars, and I see no reason that the piano would be strikingly different in this respect.
8. One other thought: since we do play by ear (only tone deaf pianists don't and I don't know any), and in doing so, our attack and touch are very much influenced by the sound we hear (direct feedback is how we judge the sound while playing and how we play the next notes), shouldn't the microphones be placed at each side of our head near our ears? While I say this somewhat in jest, there is merit in this approach. But of course, the pianist also hears the sound that is dispersed throughout the room in which the piano is located - so room acoustics become very important.
I'm half expecting for someone from Moddart to add some learned comments about the relative importance of strings and soundboard.
Glenn
Some interesting reading:
http://www.pianobuilders.com/soundboards.html
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