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SW Curves

  • 1.  SW Curves

    Registered Piano Technician
    Posted 09-11-2025 01:00

    We are used to seeing SW curves that look something like this (top graph).  This is a 2nd degree polynomial that corresponds to the equation on the chart.  This would be a typical Stanwood style curve, one that is often targeted, though at various values, usually determined by the accompanying AR. 

    However, I often see hammer sets that come out of the box more like this (lower graph) which is also a 2nd degree polynomial (equation on chart).  The difference here is the positive value of the first coefficient--note that the curve dips in the middle slightly.  In the graph below pay attention to the small dotted "trendline" which is derived from the larger dots representing samples taken through the set.  (BTW this is the weight curve of a set of Renner Blue Points Gr3)

    So the question posed to me by someone I'm helping with this is: What shape should we target?  Is it assumed that the style of curve pictured in the first graph is one should be copied no matter what the set itself suggests? Or should we go with what we are given out of the box and simply smooth the curve in whatever shape the set suggests or conforms to?  Why, and what will be the difference?  

    My own practice is to accept what the set gives me mostly because I can't find a compelling reason not to.  Which isn't to say there are no differences.  

    One difference is that, all things being equal, i.e. AR and Balance weight target, the lower SW values will always yield lower FWs and lower net inertia (FWs being a consequence, not a factor in that lower inertia).  The reason for that is because the inertia is determined primarily by the AR:SW relationship (as has been discussed).  This is the same principle that will always yield lower inertia in the treble than in the bass.  And given ARs that are equivalent the set with lower SW values will have lower inertia.  In the second graph, then, the midrange of that piano will have lower inertia than the upper graph (again, assuming AR's are equivalent). 

    Is there evidence to support that one is preferable to the other?  For the most part, action balancing is very personal thing dependent on the player's taste and, perhaps, skill.  Some will like lower inertia (and BW) some will like it higher.  I make no presumptions about what people will like, all actions I do, I set to a default setting of a specific BW and inertia levels determined by targeted FW specs which combined with AR will yield a predictable level of inertia (yes, you can use static measurements to determine inertia).  But I ultimately let the player decide what they like and if they decide they want it lower or higher inertia or BW, I offer that service.  Many players FWIW, don't know what they like but everyone wants predictability which means uniformity.  Sometimes it takes a player awhile to determine what is ideal for them. 

    Anyway, just food for thought, not expecting an answer (because I don't really think there is an answer).  The purpose is more to point out that we often fall into certain habits of working.  Sometimes there is a basis for it, sometimes, it's just that, a habit.  

    But wait, what about regulation, you say!?  That's always dependent on AR but is a question for another day.  



    ------------------------------
    David Love RPT
    www.davidlovepianos.com
    davidlovepianos@comcast.net
    415 407 8320
    ------------------------------



  • 2.  RE: SW Curves

    Posted 09-11-2025 10:16

    The problem is your charting. There is no such thing as a SW "curve". Its an imaginary construct. In reality, hammers are tapered. Once this fact is accepted then the answer becomes self evident.



    ------------------------------
    On the page, it looked....nothing.
    The beginning, simple, almost comic.
    Just a pulse - bassoons, basset horns, like a rusty squeezebox. And then suddenly, high above it..an oboe, hanging there unwavering, until a clarinet sweetened it into a phrase of such delight.
    This was no composition by a performing monkey!!

    865-986-7720 (text only please)
    ------------------------------



  • 3.  RE: SW Curves

    Registered Piano Technician
    Posted 09-11-2025 10:24

    I have no idea what you're talking about, but that wouldn't be the first time and I don't want to encourage you. I'll let others weigh in--pun intended. 



    ------------------------------
    David Love RPT
    www.davidlovepianos.com
    davidlovepianos@comcast.net
    415 407 8320
    ------------------------------



  • 4.  RE: SW Curves

    Registered Piano Technician
    Posted 09-11-2025 19:12

    David,

    I agree, I don't know what he is talking about. I've used the Stanwood Smart Chart for many years and found it to be very helpful, but I do deviate the top 6 or 8 notes towards a straight line. My reasoning is that the length of the strings in that area change slightly in length equating into a very small mass difference that needs to be activated.

    Roger



    ------------------------------
    Roger Gable RPT
    Gable Piano
    Everett WA
    (425) 252-5000
    ------------------------------



  • 5.  RE: SW Curves

    Registered Piano Technician
    Posted 09-11-2025 21:37

    I'm still new to the world of balancing, so I can't offer much from experience. 

    SW charts I've used look similar to your first example, sometimes the top end dropping a little steeper- I tend to like really light top hammers. Normally the bass end kind of gently tilts downhill, so to speak. But I do have a question: I recently adapted a modern prelude composed for a Paulello Op. 102 (102 key piano, C0-F8). There is a very rapid low bass section which is an absolute killer to play on most pianos. There is so much inertia down there most of the time, and fast intricate playing has been difficult across many pianos I've tried. What are your thoughts on keeping a similar SW line, but significantly increasing DW by removing key leads in the lower keyboard? How high DW is too high? 85g? Most of the time each hand toward the center of the piano is playing up to 4 keys (DW x 4), in the low bass usually not more than 2 (DW x 2). It seems like, at least in theory, we could nearly double the DW and the hand would need to exert no more pressure in the low bass as one would need in the midrange, assuming chords are being played in their normal configuration. Faster, intricate work in the low bass would become easier, I think. Of course, this model could become problematic in quieter, more melodic playing. 

    Here is the piece I'm referring to on the Paulello piano.

    https://youtu.be/wgzjD6UDkDc?si=HK-XM33wy7LWSJsv

    If this is too far off topic, please disregard. Thanks!



    ------------------------------
    Tim Foster RPT
    New Oxford PA
    (470) 231-6074
    ------------------------------



  • 6.  RE: SW Curves

    Registered Piano Technician
    Posted 09-12-2025 00:55

    Tim F. wrote:

    "There is so much inertia down there most of the time, and fast intricate playing has been difficult across many pianos I've tried. What are your thoughts on keeping a similar SW line, but significantly increasing DW by removing key leads in the lower keyboard? How high DW is too high? 85g?"

    Tim

    Before I respond to your question, I don't think there's anything sacrosanct about the SW curves. That was really the point. I see them in both the shapes I posted, of varying degree, and sometimes as a straight linear function.  While hammer weight does make a difference in tone, not to mention that it's critical that it varies in different parts of the piano (more mass in the bass, less in the treble), I'm not sure that the small differences of a few tenths of a gram or even a full gram in the center of the keyboard is critical (ARs and BWs can always be adjusted to compensate for different SWs). However, it will result in slightly different levels of inertia in the center of the keyboard since that's where the hammer mass will likely vary the most (in these examples, anyway) depending on which shape curve you choose.  It might change the tone slightly too.  Those differences might be evident in a side by side comparison. But if comparing two pianos apart from each other, it would be difficult to discern where those differences might be coming from. Also, recall that the original Steinway hammer, even the D hammer, was very light, justifying action ratios of 6 or higher.  Nobody considered those to have tonal deficits. So, the question was, and is, an open one.

    As to your specific question, I don't think that the key leads themselves contribute enough to the inertia that it would offset moving the DW up significantly.  Depending on who you ask, you get numbers like the key stick and the leads account for about 20-30% of the inertia in the grand action system. How much of that is key stick and how much is lead, I can't tell you exactly, and, of course, it changes through the scale with the bottom keys having ~4 leads and the top keys having none.  But removing them would not lower the inertia appreciably. While removing all of the lead might well lower the inertia of the key return and increase the upweight and thereby the "speed" of the action, I'm not sure that it would be enough to compensate for the additional effort required because of the significant increase to the DW. I would not be happy with an 85 gram DW, but I might get used to it.

    Keep in mind that the DW is simply the minimum force required to actuate the key--get it moving.  It's measured at near zero acceleration.  When we put a 50 gram lead on the key to test the DW we want it to be moving, but as slowly as possible to test that minimum force.  We can't test at zero acceleration because that would mean the key is not moving at all.  The force required to move the key must take into consideration both the starting point (the DW), as well as the inertia (the force required to accelerate the hammer to the required velocity). 

    Since the inertia mostly comes from the AR:SW relationship, removing the lead won't give you much advantage, if any, in terms of additional work required (W=F*D:  More F or more D requires more W which is also why deeper key dip requires more work).  If we define TW as the DW plus inertia (I admit, that thought just occurred to me and I'll have to think about it more to see if it holds: TW = DW + I), then the more slowly you play, there will be proportionally less inertia when compared with the DW as part of the TW formula.  The opposite is true when you play forcefully or with a lot more acceleration, "I" will have a greater proportional role.  Therefore, with slower, pianissimo playing, you might be more bothered by the higher DW.  In fast (and loud) playing, inertia will take a bigger, proportional role and so the increased DW would be less of a concern. 

    I don't think that fact that you play fewer notes in the left hand than the right hand would be a factor.  Each note only gets one finger no matter how many notes are played in each hand (generally--there are exceptions).  Plus, I don't think the hand is where most of the force comes from.  I seem to recall some study about how forces are distributed between finger, hand, arm.  While it depends on the style and technique, the general distribution is something like, Finger: 30 - 40%; Hand: 20-30%; Arm 40-50% (don't quote me but it was something like that). So, when you're having trouble executing a passage because of the weight characteristics of a certain section of the piano, and you opted to make changes (as you suggest with the bass end) then you'd have to ask how changes in the TW (the varying proportional relationship between DW and Inertia) would impact finger, hand and arm and decide where, what and when there would be a benefit.  I don't know the answer--not even sure I know all the questions.  But it's good food for thought.  



    ------------------------------
    David Love RPT
    www.davidlovepianos.com
    davidlovepianos@comcast.net
    415 407 8320
    ------------------------------



  • 7.  RE: SW Curves

    Registered Piano Technician
    Posted 09-12-2025 05:58

    Have you tried the same piece on a Fazioli 308 with magnetic action?  



    ------------------------------
    Parker Leigh RPT
    Winchester VA
    (540) 722-3865
    ------------------------------



  • 8.  RE: SW Curves

    Posted 09-12-2025 11:31

    I always use the existing Strike weight as my guideline. I even the SW out like a smooth line. Often that means the treble is a bit higher. Then I compare the curve from note 22 to note 66 with one of the curves that David Stanwood has drawn up. And I choose the ratio that fits this curve. Of course considering the needs/ expectations of the customer. 

    So Sw curves are not holy for me. But it is a good guideline for consistent work and insights.

    I don't think the shape matters that much as long as it degrades in weight and the curve is as smooth as possible.



    ------------------------------
    Coen van Dongen
    Dordrecht
    (062) 204-4611
    ------------------------------



  • 9.  RE: SW Curves

    Registered Piano Technician
    Posted 09-12-2025 13:42
    So the deeper issue here is that all of these measurements are static in nature and static measurements do not reveal the dynamics of the key/hammer stroke in motion. As such, none of them can reliably diagnose/predict all the issues that may affect the sensation of playing effort (a more accurate term than "touchweight" -- a term which borders on voodoo physics). 

    Completely absent from current discussion about playing effort are terms like latency, efficiency, and velocity. There being no discussion of that last term is particularly odd since the piano is a velocity multiplication machine. 

    To understand what I mean by "dynamic vs. static" let's use the example of tire balancing: Tires need to be balanced or they cause unpleasant-to-dangerous vibration when the car is being driven. There is no problem when the car is parked. 

    There are two methods of balancing car tires: static or "bubble balancing" and dynamic a/k/a "spin balancing. 
    For static balancing, the tire is mounted horizontally on a device that has a 360º level or "bubble". Different weights are placed around the rim of the tire to center the bubble and then attached. This is effective for a significant number of tire imbalance scenarios that cannot be improved by a dynamic procedure. However, there are also a significant number of scenarios where a tire "balanced" by the bubble procedure will vibrate when running on the car. 

    In dynamic balancing, the tire is mounted vertically as in actual use on a car and then rotated at significant speed-- hence, the term "spin balancing". With this machine, imbalance is detected as the tire is in motion with 100% reliable results when the tire is placed back on the car and driven. 

    DW-UW/2 is a centuries-old formula for measuring the accuracy of balance scales. Applying that formula to piano actions is simply not reflective of the dynamic reality. Measuring action ration -- by whatever means -- at best can only lead to inferences about action playability. 

    My point for which method to measure action ratio is don't get bogged down with it. No static method is truly reflective of the dynamic reality.  Instead of fooling ourselves by thinking we are being "scientific", the present reality is that successful modification of action performance involves an appreciation of basic physics and a good deal of intuition (an idea long expressed by our respected former colleague by the name of Anderson from California whose first name I can't remember). 

    The ability to measure the dynamics of playing effort is on the horizon. Meanwhile, we have to manage with our present abilities. 

     

    Keith Akins, RPT
    Piano Technologist
    715/775-0022 Mon-Sat 9a-9p
    Find me on LinkedIn





  • 10.  RE: SW Curves

    Registered Piano Technician
    Posted 09-12-2025 14:04

    I disagree with your premise, static measurements are definitely an indication of inertia. Static measurements include the action ratio and they include the mass of the object you're trying to move --since we're only operating on earth we can use weight in place of mass. Those are the two major components of inertia and those are both static measurements.  If you try and slide a refrigerator across the floor, one that is empty versus one that is packed full of soft drinks, the force required to overcome a inertia will be greater for the one that weighs more. Weight is a static measurement.  

    Velocity, by the way is not the key component with respect to force required to overcome inertia, its acceleration. A rocket ship traveling of its own momentum, in propelled through space is not overcoming much inertia if any. To get the rocket into space is overcoming a lot--same object.

    Nobody is arguing, in fact just the opposite, that balance weight is a dynamic factor. I'm not sure what that's in response to. But the static weight is a factor in perception of touch weight. You can feel the difference between a key that has a balance weight of 50 g and one that has a balance weight of 30 g. While that doesn't necessarily speak directly to the dynamics, it's not a meaningless number.  My response to Tim addresses why that might be.  



    ------------------------------
    David Love RPT
    www.davidlovepianos.com
    davidlovepianos@comcast.net
    415 407 8320
    ------------------------------



  • 11.  RE: SW Curves

    Registered Piano Technician
    Posted 09-12-2025 15:19

    I should probably clarify that last statement because we're getting a little bit convoluted here with terms. The primary driver of inertia is mass, in this case, the mass of the hammer mostly, to a lesser degree the mass of the other component parts. mass, or wait as we tend to think of it here, is a static measurement.

    What we're concerned with in the piano is the force required to overcome Inertia. So if F = ma, force equals mass times acceleration, and we're wondering how the Action ratio (AR) factors into that the equation, it would look something more like F = ma/MA, where MA Is the mechanical advantage seen in the piano as the AR. Mass times acceleration divided by the mechanical advantage, or in our case, the action ratio. We tend to think of and refer to that resistance to acceleration as inertia.  More accurately, we should be calling it. The force required to overcome inertia.  The factors involved in determining that are, indeed, static measurements

    So, In this case, the "inertia", as we tend to think of it, is primarily determined by the mass of the object, The forced to overcome inertia is a function of the mass and the mechanical advantage. There are situations in which there are other factors that contribute to resistance to acceleration. for example, in the case of a soundboard, it's the modulus as well as the mass.



    ------------------------------
    David Love RPT
    www.davidlovepianos.com
    davidlovepianos@comcast.net
    415 407 8320
    ------------------------------



  • 12.  RE: SW Curves

    Registered Piano Technician
    Posted 09-12-2025 15:24

    By the way, the mechanical advantage in a piano is actually a mechanical disadvantage. In other words, we are recreating a leverage system which actually adds additional force requirements. The reason for that is because the hammer must travel 5 to 6 times the distance of the key and that's something we can't really alter. So that puts us at somewhat of a disadvantage in terms of what's required to accelerate that amount of mass. Just an aside. 



    ------------------------------
    David Love RPT
    www.davidlovepianos.com
    davidlovepianos@comcast.net
    415 407 8320
    ------------------------------



  • 13.  RE: SW Curves

    Registered Piano Technician
    Posted 09-12-2025 17:39
    I expected blowback. Just to summarize:
    Using the "tire balancing" analogy, just as some tire imbalance issues are fully resolved by the "bubble balancing" procedure, so also SOME current playing effort protocols MAY be useful in SOME -- perhaps many -- situations. However...

    It is factual that the current static theories and protocols are inadequate for all situations and in practice do not resolve all playing effort issues. This is not a matter of personal opinion or up for debate. I am aware of a number of reports of people using the currently available protocols with the result of dissatisfied customers. 

    The present situation is that  we have certain theories and protocols and do what we can do. One of my concerns about the present state of the art is instead of recognizing the limitations of where we are at, I have seen an almost cult-like defense of the status quo rather than recognizing present limitations and moving toward a more scientific, physics-based dynamic approach: not only are people not measuring velocity, efficiency and latency, some seem uninterested in developing that capacity and meanwhile recognizing that our inability to make those measurements may explain much of the variability that is happening when current protocols are applied.



    Keith Akins, RPT
    Piano Technologist
    715/775-0022 Mon-Sat 9a-9p
    Find me on LinkedIn





  • 14.  RE: SW Curves

    Registered Piano Technician
    Posted 09-12-2025 18:22

    Are we not talking about the difference between static and dynamic friction?  

    In the action, there are many contributors to the friction of the assembly.  We have action centers, the sliding of the jack and balancier over the knuckle, movement of the capstan under the wippen heel, the friction in key bushings and so forth.  When these parts are moving, the friction is less than when the key is at rest.  We can measure some factors at rest, like up and down weights of the keys, or weighing components, measuring parts, whatever method you choose, but the feel of the action is different when the parts are in motion which is due to the change from static friction to dynamic friction.  How much force we need to overcome the static friction could somehow be measured, I suppose, though I'm not sure how unless you have the equipment to measure it.  We also know that lubrication to lower friction changes the touch of the action.  What Keith and David and others have differing opinions about I believe is the feel of the action when the static friction is overcome.  Remember that some parts move only during part of the keystroke, and they stop and start moving at different times.  The jack doesn't move until it contacts the letoff button, and even that event has some friction.  The jack tip then slides across the knuckle, then as aftertouch begins the knuckle slides across the balancier.  All of these events are part of the tactile experience of the player, even if hardly perceptible.  For example, unless you play very slowly, letoff is almost undetectable.  Then you have the repetition spring, with its sliding motion under the balancier, the wippen hitting the drop screw, etc.,  and all of it contributes to the dynamic feel of the action.  A heavier hammer will bear more firmly than a lighter one, and thus more friction is going to appear where the hammer is heavier.  We add leads to counter the weight of the heavier hammer, but do we include the additional friction of the jack-to-knuckle in our measurments?  How much extra effort is there to move the jack tip where you have heavier hammers and play hard on that note.  So these factors do influence the touch of the action, over and above the generic measurements of the parts at rest, the action ratios and other considerations.  I think Keith has a good point.



    ------------------------------
    Paul McCloud, RPT
    Accutone Piano Service
    www.AccutonePianoService.com
    pavadasa@gmail.com
    ------------------------------



  • 15.  RE: SW Curves

    Posted 09-12-2025 19:15

    I second the cult-like defense of an inferior system. Not only has that system over complicated key balancing, it uses the wrong static measurements and calls them inertia measurements when its not. I mean come on, bumping the action stack?? During my R & D period i took many dynamic measurements (real Inertia measurements)and ended coming up with a simple method to achieve more accurate results in key balancing. I posted one of my dynamic measurement videos which got intellectually stolen, so good thing i didn't publish the other experiments. The current popular system does make an improvement over playing Mac truck actions. But two problems i found are1)  inconsistency from action to action, 2) it makes you place the lead in the wrong positions, which contributes to giving you different accelerations from key to key. When these are properly addressed then the action starts taking on a silky smooth character that the current system doesn't give.



    ------------------------------
    On the page, it looked....nothing.
    The beginning, simple, almost comic.
    Just a pulse - bassoons, basset horns, like a rusty squeezebox. And then suddenly, high above it..an oboe, hanging there unwavering, until a clarinet sweetened it into a phrase of such delight.
    This was no composition by a performing monkey!!

    865-986-7720 (text only please)
    ------------------------------



  • 16.  RE: SW Curves

    Registered Piano Technician
    Posted 09-12-2025 19:29
    Static vs. dynamic friction is certainly a piece of it, but measuring acceleration is much different that measuring the forces necessary to maintain a system in static balance. There's just a whole lot more happening than is revealed by present protocols.


    Keith Akins, RPT
    Piano Technologist
    715/775-0022 Mon-Sat 9a-9p
    Find me on LinkedIn





  • 17.  RE: SW Curves

    Registered Piano Technician
    Posted 09-12-2025 20:34

    Keith Akins wrote:

    "It is factual that the current static theories and protocols are inadequate for all situations and in practice do not resolve all playing effort issues. This is not a matter of personal opinion or up for debate. I am aware of a number of reports of people using the currently available protocols with the result of dissatisfied customers."

    Of course it doesn't answer every situation or variation in touch and dynamics or answer questions of personal taste.  Who said it did?  But you, and others, seem to be suggesting that dynamic performance can't be derived from static measurements.  That's just flat out wrong.  Is it really necessary to explain why that is (I don't see what tire balancing has to do with it)?  Take any action in which the AR is uniform across the scale.  The bass will have higher "inertia" (as we're using the term--really, it's the "force required to overcome inertia at varying levels of acceleration" to be more accurate) than the treble.  That's directly attributable to more mass in the hammers, and to a lesser degree to more mass in the keys in the form of more lead.  That will be true every time.  A choice of where that SW curve should fall depending on other factors, such as how you want the action to regulate, what kind of tonal response do you want as it relates to hammer mass, is a choice of personal taste that techs make hopefully in conjunction with their playing customers.  No one system will please everyone, of course.  And no one has argued that and if they are and are making claims that their system will always result in a happy customer, they are delusional (but then there is a lot of that going around).  

    And you're calling that a customer was "dissatisfied" with a particular outcome, scientific evidence the available protocols are not adequate after arguing that personal taste is a factor.  That makes no sense.  No matter what the protocols, there are choices to be made about the execution. Do you choose a lower or higher AR:SW relationship?  Do you opt for a higher or lower BW?  Did your choice involve a low AR which resulted in excessive key dip for the player?  These choices have nothing to do with protocols.  I use similar protocols every time I do an action but I sometimes make different choices. You can use the same "protocol" to produce a high inertia or low inertia action based solely on the decision you make about AR/SW relationships.  I don't see how that discredits anything.  Plus, you keep saying the velocity is a factor, it is not, it is acceleration--it's getting to your desired velocity that is the issue, not the velocity itself.   

    In response to Paul McCloud, this aspect has nothing to do with friction even though friction levels will change with more mass in the hammers.  But that's a separate matter.   

    I have no response to Chris C other than, nice promo.  



    ------------------------------
    David Love RPT
    www.davidlovepianos.com
    davidlovepianos@comcast.net
    415 407 8320
    ------------------------------



  • 18.  RE: SW Curves

    Registered Piano Technician
    Posted 09-13-2025 00:20
    Let me come at this a different way, since the tire balancing example didn't adequately serve to illustrate the dynamic/static difference. Several points in no particular order...

    • If it's moving when you measure, it's dynamic. If it's standing still when you measure it, it's static. 
    • It may be possible to intuit some dynamic characteristics from static measurements -- but not all
    • We don't know what we don't know. Here's an example of what *I* didn't know until recently: 
      • Did you know that on even a hard blow the key will come almost to a stop part way during its descent instead of smoothly accelerating to the punching? (Here's the proof from recent super high speed video courtesy of Scott Murphy, RPT)
      • So, questions that come to mind include (by way of example):  a) What event or events are causing the slowdown of that key? b) How would touch sensation be different if that "bump" in the graph were earlier, later, wider or narrower? (And how would you make those changes, anyway?) Does anybody know at this point? I have some ideas about question "a)" but no idea in the world what the answers are to question "b)".  But I'd like to find out.  And that's one point I'd like to make: when we think we know the answers we stop asking questions
    • David Stanwood.  There. I've said the name we've been dancing around with terms like "current protocols" because the main driver of current protocols is known as the Stanwood Piano Touch Design and David is the author of the series of articles in the PT Journal about New Touchweight Metrology. But the fact that a process is entangled with the name of a fellow RPT does make discussion of this topic more awkward than might otherwise be the case. In regard to which, two things: 
      • 1) I think David Stanwood should get the Golden Hammer Award for bringing the possibility of dealing with touch issues to a broad segment of piano technicians whereas previously the general thought was that it was a topic full of mysteries only initiates at piano factories were aware of-- much less were able to do something about. So bravo to David Stanwood!
      • 2) But we make a mistake if we treat a single advancement in knowledge as having arrived at the final answer. David Stanwood opened the door to the idea of touch modification but many have simply gone through the door only to make a home just inside -- instead of continuing on a journey that is clearly called for to achieve a higher level of action touch diagnostics and modification. What should have been seen as a stepping stone has been treated by too many as the final destination.
    • There have been other voices questioning the NTWM approach. One worth noting is that of engineer Rick Voit who was developing his Keyforce One touch assessment machine. He wrote a couple of articles in the Journal but I think most readers (including myself) were not able to follow the details of his mathematical formulas. But here is a table that he included in a letter he sent to me critiquing the Stanwood patent that should be comprehensible by everyone. 
    My hope is that people who have been stuck to the NTWM protocols will consider the possibility that in terms of understanding actual playing effort/response issues we aren't nearly there yet.  There is more to be learned. 
    You are invited to join the journey.

    Keith Akins, RPT
    Piano Technologist
    715/775-0022 Mon-Sat 9a-9p
    Find me on LinkedIn





  • 19.  RE: SW Curves

    Registered Piano Technician
    Posted 09-13-2025 16:17

    Argh,

    I don't know if I can address all the points but there are several notable claims that need to be addressed.  

    • "If it's moving when you measure, it's dynamic. If it's standing still when you measure it, it's static."

    We're not talking about measuring; we're talking about the factors that influence dynamic response.

    When we talk about "inertia" in the piano, we're really talking about the "moment of inertia" defined as the tendency of an object to resist changes in the state of rotational motion.   The MOI is calculated as I = ∑(m r²), where I is the MOI, m is the point mass, r is the distance from the axis of rotation.  They are, for practical purposes, "static measurements".  The MOI can be thought of as the characteristics (measurable) of an object that contribute to it's resistance to changes in rotational motion (acceleration). But they are data inputs that affect the dynamic response of the action.  If we increase the mass, we increase the MOI, if we increase the r distance, we also increase the MOI.  That will always be true even if we don't want it to be. 

    So, let's first disabuse anyone of the notion that you can't predict inertia with static measurements.  Of course, it's complicated because we are talking about different levels of acceleration (not velocity per se).  Acceleration and Inertia are related but not the same.  The piano, obviously, offers different levels of acceleration and the force required to accelerate an action to some desired velocity from a standstill will depend on the ultimate velocity goal.  To get a rocket ship to escape earth's gravity we need a lot of force.  If we are leveraging the rocket into space, we need one big lever.  

    So then, we have to consider F = m*a.  Force equals mass times acceleration.  The force required will depend on the MOI and the change in acceleration that we are targeting.  Again, of course, it's complicated.  The piano is played not only with different levels of acceleration, but the mass changes across the keyboard (and sometimes the leverage does too).  But just because it's complicated doesn't mean that we should throw up our hands and say that nobody really knows.  What we can say, to one of your earlier points, is the best laid plans won't always lead to customer satisfaction.  I have customers who still love their Betsy Ross spinets.  That doesn't mean I'm going to change my piano design goals.  

    I agree that Stanwood deserves a lot of credit for bringing this dialogue to the fore.  But he's not the only one doing this.  Fandrich and Rhodes, Gravagne, Rick Voit (who you mention), and others, are also concerned with action dynamics.  All of them use static measurements and targets to determine the proper relationship between these components.  Their way of communicating how to convert that to the various components in the piano action varies slightly but mostly overlaps.  Ultimately, we must distill our dynamic target to a series of choices of static inputs. We have to choose how heavy the hammers should be given the action ratio (the product of the moment arms, as a reminder), for example. Simply knowing the MOI doesn't get you very far in executing an action. You have to translate that goal into its fundamental components, m and r. 

    Stanwood formulas are based on static measurements: FW, SW, BW, SWR, KR, which use weight as the means of taking those measurements. But don't think that they aren't designed at targeting a certain dynamic response and it does so consistently even if, someone may not like the choice.  And there are always choices to be made. The Stanwood system can be boiled down to matching SWR to a predetermined (or calculated) SW curve in order to ensure that the given a certain r or the product of three moment arms, and the conform with each other.  We accept that there are varying levels of acceleration but even that can be narrowed down to a range.  There is a minimum amount or force required to accelerate the hammer enough so that it reaches the string, and there's a maximum amount of force we can reasonably apply given the physical limits of our bodies.  Our calculations of F = ma always requires us choosing a value for acceleration but again, that doesn't disqualify the method.  The method accepts that there are practical (not to mention useful) limitations for analyzing the action dynamics at every possible "a" value.  

    It should be noted,then, that the choice, ultimately, is determined empirically.  For Stanwood, that has come from collecting data over many years and extrapolating by test and response.  For others like Fandrich and Rhodes "Actions to Die For", I don't know how they determined their ideal, that has remained proprietary, as far as I know.  But they do come up with component recommendations and those recommendations are consistent.  Gravagne has a range in which he finds things acceptable, so do I.  It's not a hard ceiling or hard floor, I've certainly ventured outside that range at times.  But there is a basic sweet spot which I've found can be achieved (as I've stated previously) by taking into account FW, BW, SW.  Those static measurements can be used to establish proper relationships between SW and AR.  Is there more to be learned?  Of course there is.  But that doesn't mean we don't know anything and it certainly doesn't mean that we should dismiss everything we have learned so far or feel paralyzed about making rational choices based on existing information.  I'm invited to join the journey???  Please, spare me.  

    I can't add much more (to this entire discussion) except to say that I find the claim dubious that "...even (on) a hard blow the key will come almost to a stop part way during its descent instead of smoothly accelerating to the punching?  If you had said that there is evidence that the rate of accleration changes during the key stroke based on some factor (contact with the let-off button, the friction of let-off or some such thing) I would consider that reasonable.  But "almost a complete stop", define "almost complete stop".  Super slow mo' gives a lot of indications of things that seem extraordinary, but let's be careful about the conclusions we draw from that view.  

    I posted this information simply to discuss various SW curves and ask the question as to whether adhering to one shape is necessary.  I obviously don't think that it is.  You have one contributor claiming there is no such thing as a SW curve.  Don't know how to respond to that.  

    Ultimately people get to choose for themselves how to pursue this.  All I can say to that is: I don't really care, do you?     

    .  



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    David Love RPT
    www.davidlovepianos.com
    davidlovepianos@comcast.net
    415 407 8320
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  • 20.  RE: SW Curves

    Posted 09-14-2025 11:49
    Ok I 0nly had time to watch part of the video.  Does he step on the damper pedal to take that out of the equation?





  • 21.  RE: SW Curves

    Registered Piano Technician
    Posted 09-12-2025 19:57

    Hi Keith,

    Our respected former colleague whose first name you could not remember was the late, great David Andersen. May he rest in peace!

    Alan



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    Alan Eder, RPT
    Herb Alpert School of Music
    California Institute of the Arts
    Valencia, CA
    661.904.6483
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  • 22.  RE: SW Curves

    Registered Piano Technician
    Posted 09-13-2025 00:24
    Thanks Alan. I have a great memory but it isn't as long as it used to be. ;-) 

    Although I have learned from many people, David Andersen was one of the few that when I heard him teach I said to myself, "He really knows what he's talking about and I'd like to sit at his feet in a more extended way."  That never worked out but my esteem for his approach continues to affect my own work. 


    Keith Akins, RPT
    Piano Technologist
    715/775-0022 Mon-Sat 9a-9p
    Find me on LinkedIn





  • 23.  RE: SW Curves

    Registered Piano Technician
    Posted 09-30-2025 00:49

    The recent threads on the Phys.org article on touch/tone got me to thinking about the influence of flex in the hammer shank. I'm wondering if the hesitation of the keystroke shown in the video has to do with that. At the beginning of the blow, the mass of the hammer will be behind the flex of the shank as the shank is bending down at the hammer end; perhaps as the shank flexes (around mid-stroke?) the hammer end of the shank whips up above the 'ambient' state of the shank (this would comprise the node in the whipping action). Maybe the hesitation in the key indicates that point of transition from below to above the straight line between the bird's eye and the far end of the shank. IOW the kinetic energy in the shank momentarily neutralizes the force pushing down the key. Does that make sense? Aren't we dealing with compound forces at work?



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    Steven Rosenthal RPT
    Honolulu HI
    (808) 521-7129
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