IMHO, a good LIVE experiment (no doctored sound samples!) would contain:
1) pianists that are known to have "good tone" vs those who sound rather "gray" in that respect;
2) an instrument that actually allows for those differences to be heard (I suspect that only a good Steinway grand under very capable hands qualifies;
3) a location with "workable" acoustics
4) an audience that is capable of detecting fine differences in sound nuances (could be verified/pre-tested before allowing them to participate in the actual experiment.
I don't think that's actually necessary. I think the experiment should actually be fairly easy to conduct.
Let's assume that
tone is the result of the combination of different frequencies of sound being activated simultaneously.
What combination isn't relevant here, just that some are more pleasant-sounding than others. If this is the case, then whether or not there is a difference in tone can be experimentally (and quantitatively) investigated by using a spectrum analyzer on the sound produced. If this is not the case, then someone needs to explain what they mean by tone that doesn't have to do with the relative magnitudes of sounds at different frequencies.
No need for an audience; keep in mind that once you introduce humans into measurement you also introduce any measuring errors by humans, who are notoriously inexact. There is a difference between whether or not there is a difference in tone with whether or not a given person is able to perceive it; there is also a difference between whether or not there is a difference in tone and what tone is good vs bad.
The experiment then is to have a competent pianist play a note under different methods, and see if there is any difference in the spectrum of sounds produced. The damper would be depressed prior to pressing the note, so that it does not affect the sound (i.e. we're not investigating how the damper lifting from the strings might change the sounds produced). The person would play the note with multiple intensities for each method, i.e. from soft to loud. The spectrum analyzer could then be used to match up which trials across different methods had the same volume, for example by looking at the magnitude of the frequency of the note being pressed (which I assume is the loudest).
Which methods to test then deserves some discussion. So far what I can think of is whether the finger is static and touching the key just prior (i.e. nonpercussive) versus hitting the key starting from a given height (i.e. percussive), and the finger going all the way down to the keybed versus (as much as possible) slowing down prior to reaching the keybed. In which case, I propose the following setups:
1. Thumb and forefinger together, straight, in "tweezer" position, pointing straight down on the key. This is to have as "stiff" a mechanism as possible, as if it were a hammer hitting the key.
2. Finger relatively straight, with the fleshy part facing the key, and then bending at the knuckle to contact the key.
3. Same as #2, but the action coming from curling the finger rather than the knuckle, as if "plucking" the key.
The reason for those different setups is that they should have different effects in terms of how much the fingers absorb the impact between the fingers and the key. Additionally, setup 3 should in theory have the least keybed pressure, because the finger is relatively straight as the key is being accelerated, but the curling action means that the finger is
vertically decelerating very rapidly near the keybed. Keep in mind that each method has multiple trials, each with different intensities (since the pianist, being human, can't reproduce the same volume exactly each time), but it's fine because the resulting intensities can be "lined up" afterwards using the spectrum analyzer.
Alternately, I could take a hammer and (lightly!) hit the key with multiple intensities, and then put some soft padding on the key and repeat. I'd be wary of messing up the key though.
Anyway, I do have access to a Steinway Model B, and if we let me indulge in calling myself a competent pianist, I could record myself playing it under these various conditions and uploading the video and audio if people want. Anyone that has spectrum analyzer software can then analyze the audio track. I don't have a particularly good microphone though, it would be my digital camera, which has a video function. Would people be up for analyzing this?