Ive been having an argument with my teacher for some time that for one note played on a piano the only factor that can change its tone is the speed with which the key is struck. But she keeps giving my a bunch of psychological jargon about feeling the bottom of the key and such. Now i know the way you approach playing a note or groups of notes can afffect how you play (much like follow through in gold, you don't absolutely need it but it affects the way you set of the shot), and for many notes of chords there can be a change of tone depending on how you press teh keys, but i still think for one note alone, it doesn't matter how you play it since the only factor that is a variable is the velocity. Anyone else have any thoughts?
Kapellmeister: mass also has an effect on the tone created. First drop a light object onto a key then from the same height drop a heavy object. The heavy object will create a louder sound even though the speed of the objects are identical. I think you meant to say the speed of the hammer shaft is the only factor that can change a piano's tone.
Mass can be a factor because every finger on your hand has a different mass, which is why in some passages fingering is chosen that will allow the 1 or 3 fingers to end up on notes requiring special emphasis (simple anatomy is also contributes to this choice). Thinking only in terms of force is an incomplete view of tone production, because any variables either in mass or velocity will affect the tone.
I see what you're saying, but I rather think of it in terms of the force with which the keys are struck, which is determined by momentum (mass X velocity). Yes, dropping differently weighted objects will affect the tone, but your finger has the same mass every time you use it. Therefore, when it comes to actually playing, the mass is really an obsolete factor, whereas the velocity will determine the momentum. And of course everything kapellmeister mentioned plays a role in tone, as well.
I would bet if you did blind tests (don't see how you could double blind, but single blind would be easy) you could not tell the difference in tone.
I've heard so many people claim that by some "magical" touch after the key is pressed you can affect the tone that it's a little sickening. Once you've pressed the key, you can't affect the tone of the note with your fingers. It's impossible.
Velocity does play an important part of tone production, especially with pianos that have an accelerated action. Mass can be a factor because every finger on your hand has a different mass, which is why in some passages fingering is chosen that will allow the 1 or 3 fingers to end up on notes requiring special emphasis (simple anatomy is also contributes to this choice). Thinking only in terms of force is an incomplete view of tone production, because any variables either in mass or velocity will affect the tone.
All things being equal, the tone is not affected simply by holding the key to the bottom of the keybed. Yes, playing all the way to the bottom of the note will affect the velocity of the hammer, but the tone is already being transmitted throughout the piano, and once the strings are struck, nothing touches them until you let up the key.
Try this simple test: Strike any key on the piano fairly loud and then let up the key only a little bit -- not enough to induce the damper but enough to be up off the bottom of the keybed. Can you tell any difference in tone? In practice, however, this is really a non-issue since for other reasons, it's better to hold the key down all the way unless you have reason not to (like say you need to play staccato or something).
A few clarifications:Force is mass times acceleration or momentum times velocity (it's better though to think about acceleration). Fingers for sure don't have the same mass every time you use them. Hand, and arm and the entire playing apparatus contribute to the mass that gets ultimately applied to the keys. That is the whole idea of "weight" in piano playing. A chord played with the fingers compared to one of the same loudness played with the entire body will sound thin.
I think I see what you are saying about variable mass, but I'm going to be the ass (sorry) who takes issue with the way you phrase it.
You said, "Fingers for sure don't have the same mass every time you use them." I mean now we're just getting into physics, but your finger has a certain mass, and will always have that same mass (growth in infancy/adolescence excepted). But I think your idea of hand/arm "weight" is right on... If you flex your arm stiff so that just your fingers are moving when you play, the weight of your arm does not get factored into the mass (supposing you can keep it completely and evenly stiff, which of course you can't quite do). On the other hand, if you relax your arm and let it drop with your fingers when you play, the weight/mass of your arm IS part of the force with which the key is hit. Maybe it's just a matter of semantics, but let me reiterate: your fingers do not gain or lose mass; the mass that determines the force with which the key is struck (along with the acceleration) may be affected by more than just your fingers, and THAT mass IS variable.
Force is mass times acceleration or momentum times velocity .
A minor correction, for those of you who may be studying physics: force indeed is mass times acceleration. However, that does not equal momentum times velocity. Momentum times velocity is twice the kinetic energy, which is not the same thing as force.
Don't be an ass
That is really not the point in this discussion here. However, there are some possibilities to affect the tone after the strings have been hit. Lowering the dampers is one of them. And then again, playing to the bottom of the keybed or not affects the tone quality.
No, playing to the bottom or not does not affect the velocity of the hammers. That is solely determined by the speed with which the escapement barrier is broken. That's essentially when the hammer goes into free flight. At that point, nothing can change the velocity of the hammer, but it is still a long ways down to the keybed. The velocity of the hammer determines the loudness, and flex in the hammer shafts modulates the tone quality because it changes the contact time of the hammer on the strings. The keybed affects the tone indirectly by creating vibrations that combine with the vibrations from the strings.
Of course, there is a difference. If not, get a better piano. Also, playing to the bottom is definitely not a non-issue. Although, one practically always plays to the bottom, it is important for tone production to be able to control the force with which one crashes into the keybed as this will have a different effect depending on the force. Ever heard of a "harsh" sound versus a "smooth" or "deep" sound". These qualities are achieved by factors other than hammer velocity, which only determnes loudness.
Also, staccato does not mean one does not play to the bottom; on the contrary.
You're right; however, playing to the bottom is essentially a follow-through of pressing the note down. If you don't play to the bottom, then the velocity of the hammer will not be the same. It's all about how you begin pressing the key, and if you don't begin with the intention of playing to the bottom, you won't begin the attack the same way. Yes, the keybed indirectly affects the tone, but not solely because you're holding the key down all the way. The vibrations on the keybed happen at the point of impact, and continuing to hold the key down all the way does not introduce new vibrations.
In fact, holding down the key probably dampens the vibration (and would therefore again affect the tone quality).
Interesting... how so?
The velocity of the hammer determines the loudness, and flex in the hammer shafts modulates the tone quality because it changes the contact time of the hammer on the strings.
Great discussion. Just a few more questions: Could you please explain the specifics of hammer flex and effect on tone created. I take it that more flex means a longer contact time of the hammer on the string. But what exact effect does a longer contact time of the hammer on the strings have on tone? e.g. the longer the contact time the slower attack of the tone? the longer the contact time the more the high overtones are brought out?
I think that a good way to test the theory that the only factor that can change the tone is velocity, it would be to play a piece in a disklavier and record it both with its built in midi recorder and with a sound recorder at the same time.
Another hypothesis:And since the human ear naturally contrast the second note to the first, this affects how the listener hears the first note. ...What do you all think about the hypothesis above?
https://www.speech.kth.se/music/5_lectures/contents.htmlThis is a fairly understandable treatise on the subjectHope that helps.
I would bet if you did blind tests (don't see how you could double blind, but single blind would be easy) you could not tell the difference in tone.I read about a test where professional piano players could not tell the difference in tone between a key pressed with a finger and one pressed with a pencil held in the mouth, if the volumes were equal. Musical instrument players of all types have a long history of assigning tone differences based on superstition. For example, every flute player "knows" a metal flute sounds different from a wood one. Over the last 100 years thousands of well designed experiments have been done, and in not one has a difference been detected. But this has not changed flute players's opinions in the slightest. The same is true for oboe, clarinet, and a few others; so far no wind instrument has been found where the wall material has a detectable effect on sound, though there are a few that haven't been studied well and still might show an effect. And there are almost no players who believe the test results. (If you're curious, one of the standard tests goes like this: make two flutes as identical as possible. The player, who does not know which one he is playing, plays the two flutes three times in random order. Like, silver silver wood. The listener tries to identify which one is different - first second, or third. Never do they succeed above chance.) I point this out not to disagree totally with the mechanical possibilities suggested by xvimbi. I think though they are more theoretical than proven. The same arguments are made constantly about golf shafts and flex, and all the evidence is that the actual collision depends only on the speed and mass of the head, and the shaft cannot store energy or contribute.