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Action Ratio Measuring

  • 1.  Action Ratio Measuring

    Posted 01-16-2020 13:59

    I want to discuss measuring action ratios, following a confusing response on the recent "half-punching" thread. Distance measuring action ratios can be confusing, and we need to know we are talking about the same thing when trying to communicate about this stuff. Here's is David Love's comment regarding action ratio measurement, that makes me think we are not communicating precisely...David's comment below, says quite clearly that a 5.25 action ratio, at .390" dip,  will result in a very shy blow.

    David L< I agree that if you push the leverage down to 5.25 that you will want a higher static balance weight.  However, I don't see you  can possibly accomplish a 3.90" dip with a 5.25 leverage (if that's actually what it is--taking accurate measurements with dip/travel is tricky).  I've seen plenty of 5.3 targeted leverages and the dip is nowhere near that low, not without a very short blow distance.  Too short for anything I would want.

    Contrary to David's comment, my own empirical evidence says something quite different. I see a 5.23 directly measured action ratio, providing a carefully measured set of pretty common manufacturer's regulation spec's: .390"dip/ .040" aftertouch/ 1.75" blow/ 2mm letoff.  1.75" blow is what I measure, produced by my measured 5.23 AR. 

    So,  I don't think we are communicating precisely. As this action ratio confusion seems to come up often, at least to my mind, the confusion around measuring it can muck up the communication often, I think.  So I want to suss out what the communication mismatch may be.

    After reading David's comment, which I knew did not jive with my experience, I went out the shop to double check my measurements, to make sure I wasn't talking through my hat. There are two ways I measure action ratio. The two methods double check each other. One is direct measurement of the ratio, and the other is to confirm that the regulation specs I target are actually achieved. I measure both of these with the highest l level of precision the felts and other materials in the system will allow.  As someone  who set up production shop runs where the machinery had to cut 100's of water tight sash joints, in a life previous to life in piano land, I know where to look for measurement inaccuracy, and how to avoid the major problem of making dimensional assumptions. Here is how I take my measurements.

    1- To start, before hanging hammers, I draw a line across the set hammer crowns indicating the strike point of each hammer, and refer to that line throughout the rest of the action process. In the installed actions, this line ends up being pretty darn close to the empirical strike point on the crown. In this case, I'm more interested in measuring to the exact same place on the crown for the two different measurements.

     Using a 12" machinists height gauge, with a dial scale, Measuring from one point on the marked strike point on a given sample hammer, I take a measurement with hammer at rest, using the machinist's height gauge, and record the reading. Then with a separate machinists height gauge at the key front, set the gauge to just touch the top of the front of the key at rest. So I have my starting positions clearly indicated. Then, at the height gauge at the front of the key, I insert a shim of known thickness (.246), between the height gauge and the keytop, thus depressing it a precisely known dimension, ie ,246".  Then I go around to the back of the action, and measure to the same point on the crown of the hammer I indicated to in the first hammer-at-rest rest reading, using the 12" machinist height gauge, at the new raised position of the hammer at .246" dip. Record that t measurement and do the math: (raised hammer reading - hammer at rest)/.246 .  (7.695-6.413)/ .246 = 5.23

    This is precise measurement, and does not depend on relative positions of other parts. So the action, at this note is according to this technique, 5.23, and is as precise as can be had in this kind of setup. Here are pics of this process...the last pic shows that the jack tender has not touched the letoff button, which is essential in taking this measurement;





    2- Now, I check the regulation spec to a similar level of precision, to confirm the ratio achieves my regulation specs. I can post pics of this if requested. Using a dial indicator, measure the actual dip of that note, which comes in within a few thousandths of .390.  Measure from the strike height of my string plane gantry, to the marked crown of the at rest hammer with a rule, 1.75". Confirm letoff to the gantry at  2mm (.078"). Measure aftertouch using a shim that I have proven with a dial indicator, results in 040" aftertouch movement of the key.

    So, using this technique, which is as precise as it is possible to be in a setup like this, I get a 5.23 ratio allows .390 dip/1.75 blow/2mm letoff/.040 aftertouch. 

    That's how I take the measurements, since I work using dimensional leverage analysis exclusively, as opposed to weight analysis. So my question for David is, how do you take this measurement differently, in a way that 5.25 (actually 5.23 in this case) cannot provide adequate blow given .390 dip?  Are we talking about the same thing?  Or perhaps do you consider 1.75 blow a shy blow?   

     



    ------------------------------
    Jim Ialeggio
    grandpianosolutions.com
    Shirley, MA
    978 425-9026
    ------------------------------


  • 2.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-17-2020 01:19
    I certainly endorse the use of measuring leverage over static weight measurements.  But any static measurement is inadequate to reliably predict dynamic performance in all cases.  To use a tire balancing analogy, we are still using bubble-balancing techniques when spin balancing is what truly reveals both static and dynamic tire imbalance. 

    Until we in the piano service world get there, it can at least be informative to measure the dimensions under stress rather than having the components passively sitting there. By way of example, I recently had an action that I was able to bring the bottom of the key all the way to the front punching while constraining the hammer at its rest point. That meant that under stress, keydip was effectively zero -- regardless of what the static measurements might have been.

    ------------------------------
    Keith Akins
    Akins Pianocraft
    Menominee MI
    715-775-0022
    ------------------------------



  • 3.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-17-2020 01:56

    Jim

    This is a pretty involved question, as your outline indicates. When Gravagne was developing his program we had many discussions about this very issue-direct measurement versus product of levers, as well as the difference between distance ratios and weight ratios. I don't think I can do it justice without reacquainting myself with the copious notes that I took during those discussions and experiments.

    As part of these discussions I set up an action model in concert with Nick's instructions to eliminate any unaccounted for movement, installing a capstan under the key to eliminate punching compression as well as a method to determine that the starting point of the hammer travel was consistent. It wasn't easy and even then the results were difficult to duplicate precisely. 

    Gravagne's current program calls for precise measurement of the levers themselves (key, hammer and shank assemble, wippen) and then is calculated by product. I agree with Gravagne that this method yields more consistent results though there are still some debates about just where these measurements should be taken. 

    If you don't have Gravagne's program (I haven't looked at it in awhile as I use my own spreadsheet for these calculations) there is a corresponding dip/blow output for a given action ratio (or leverage as I called it, but action ratio is probably more precise). The method I use in my own spreadsheet is pretty much what he does though in the end I am more concerned about the weigh ratio in setting up an action in order to insure a desired inertia which produces a strike weight curve that best suits that ratio and also yields  a targeted balance weight with a predictable and desirable front weight. The location of the weights is a secondary issue for me. Similarly the regulation specs might vary depending on where I end up. If the action ratio is 5.4 or 5.5 or 5.6 I don't really care that much as long as the strike weight is suitable for the piano (tonally) and works with whatever the ratio ends up being as outlined above. The regulation specs for each of those numbers will vary in terms of dip and blow.  

    I prefer to keep the blow consistent (1.75" on most pianos) and allow the dip to vary somewhat. But there is an acceptable range that will be dictated by the action ratio.  I don't like to go below 5.4 AR because I don't like excessive dip (or short blow) and I don't like to have to boost the static downweight to compensate for a too low action ratio. I have run into several pianos, as I mentioned, set up at 5.3 (or lower) that not only had excessive key dip (in my view) but also required the addition weight to the hammers to increase the inertia to make it acceptable to the pianists. Admittedly, when added weight was requested it was mostly in the upper end where naturally lower hammer mass produced lower inertia. That is not surprising but the message was clear. These actions were too facile and the pianists had the feeling of being buried in the keys by the excessive dip. 

    Anyway, hopefully Gravagne will chime in, though his recent series of articles might cover much of this material. 



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



  • 4.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-17-2020 12:23
      |   view attached
    Jim and David,
    Thanks for your comments on action ratios. I've also been frustrated with the lack of standard methods to measure and express both the action ration and especially the key ratio. That crucial for us as we build keysets since we have to talk to our customer/rebuilders and have some common frame of reference.  It appears both you guys use a different method for calculating or measuring action ratio than the Gravagne/Baldassin/Renner method which we use.  Our action ratio targets end up close to 5.0 (4.9 to 5.1 is the goldilocks zone) since we subtract out both let-off and aftertouch when we measure the action:

      AR = (B-L) / (D-A)   where B is hammer blow, L is let-off, D is key dip and A is aftertouch.

    Since we are usually proposing a change in key ratio, but don't have the key produced yet, we use a variable key ratio setup with two keys to test actual regulation. I've uploaded a picture of the two special keys we use. They have a moveable balance rail, adjustable capstan and front mortise.  The keys will essentially adapt to most keyboards in a certain range. (we have three sets of these for small, medium and large pianos).

    But we also measure and calculate the parts's radial arms and to calculate the AR:

      AR = KR * WR * SR    

    where KR is key ratio, WR is wiped ratio, SR is shank ratio.  All the ratios must be radial arms, and we define those the same as Nick G.

    As long as everything is measured accurately, the two systems produce the same results, within a very small range of say 1%.

    The stickler for us is the key ratio. We have to use a "linear" key ratio in keyset production, it's just not practical to measure or define the radial key ratio for the CNC machine. But for calculating KR and AR from parts measurements we have to use "radial" key ratio.

    Sooo.....  I've been working on a project for our customers to *objectively* take just a few (10) simple measurements, fill out a web form and submit it so we can analyze a action and keyboard. It's a free service to any rebuilder or technician. We find that very few techs out there really understand action or key ratios, so for our use, this defines our standard methodology.  There's no question of what we, or the tech is talking about as far as ratios once they've done these measurements.

    This has been through a number of iterations, but it's now in "public beta". Here's the web form:

      https://www.reyburn.com/geometry.html

    and the directions are linked from the form above, or here:

      https://www.reyburn.com/geometry.pdf

    I'd be happy for any constructive criticism on this!

    Best regards,




    ------------------------------
    Dean Reyburn, RPT
    Reyburn Pianoworks
    Reyburn CyberTuner
    1-616-498-9854
    dean@reyburn.com
    www.reyburnpianoworks.com
    www.cybertuner.com 
    Facebook: www.facebook.com/dean.reyburn
    ------------------------------



  • 5.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-17-2020 14:09

    ′Dean

    There are clearly different ways of measuring the in/out of each lever and I think that may account for differences. Last I checked, a 4.9-5.0 AR would be outside of the "green zone" for Gravagne's program. I use his system for measuring each lever and that would be low for me too. I can't speak to what Baldassin/Renner advocate now but know Nick has been involved there.  

    Interestingly, your numbers comport with what Rick Wheeler advocated but I believe they (Wheeler and Gravagne) used different methods. In the Stanwood system it seems that 4.9 - 5.0 would also be outside of his normal target, but I'll have to let him confirm that. Wheelers 4.9 yielded something quite different using mine or Gravagne's methodology  

    Product of levers is only as good as our agreement on how each lever is measured so we should verify that  before going further. 



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



  • 6.  RE: Action Ratio Measuring

    Posted 01-17-2020 15:32
    AR will change during piano life due to knuckle compression, hammers filing, balance punching compression. Any method of measuring , even such precision as Jim described has some inaccuracy . There is AR fluctuation from key to key due to dimensions fluctuations.Is there any sense try catch 0.3 of AR? It is clear it should be in the area of 5.0 .In majority situations I have needs for lowering AR and for how much can be found even without measuring just by how action feels, excessive leadings, excessive aftertouch, excessive striking distance , shallow key deep . Dealing with existing actions in need to lower AR in most cases I don’t need to now how much AR is as much as I need to know how many % to lower existing ratio. AR is linear function , so in situations when modification goes by relocating capstan only measurement I need is Distance Capstan- Balance pin. Then I shortened it to this %. .... In half cases expand or relocate hill as well.
    AR is variable depending of hammer position and as said earlier Piano age and condition. With my limited English i understand term Ratio traditionally used for mechanizms with constant ratio. Perhaps we need to find not only standardized method for measuring but also new term as well?



    Alexander Brusilovsky




  • 7.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-17-2020 18:01

    Hi All,

     

    One of the primary goals of my work and articles has been to establish a baseline for working out an AR, both physically (with the action under hand) and mathematically. From this baseline, I imagined that the technician could then depart to some extent and do his or her own thing. Having said that, ranging too far afield from the basics will land us in the Mutara Nebula (Star Trek fans understand that the MN contains high levels of static discharge). 

     

    In the final analysis, if what you are doing allows for a  ─ "standard" regulation (close to the mfg. specs), and your hammer weights and key leads are under control (which means inertia is under control) ─ then your action ratios (whatever you think they are or however you measured them) are useful and relative to your work. However, they may not translate well over the internet. As to the ratios and measurements discussed in this thread, they can only mean so much as we are all not together in the same room working as a team.

     

    The basic equation of distance remains as Dean has posted and we have published:

     

    AR = (B-L) / (D-A) where B is hammer blow, L is let-off, D is key dip and A is aftertouch.

     

    Making reasonably close measurements and running the simple math will always tell us what is there. The AR cannot be changed simply by changing the blow, or any of these variables. For example, shortening the blow will increase the aftertouch and vice versa. Correcting the AT will shorten the total dip, and so on. The AR can only be changed by altering a knuckle or capstan location, or else having a new keyboard designed.

     

    The radial arms method should confirm the simple AR input/output method:

     

    AR = KR * WR * SR

    where KR is key ratio, WR is wippen ratio, SR is shank ratio.  All the ratios must be based on radial arms dimensions. These dimensions are defined in my articles.

     

    A particular point of confusion surrounds the ratio of weight and mass (what I call the MAR for Mass Action Ratio, Moment Arm Ratio or Mechanical Advantage Ratio). The piano action is a poor mechanical multiplier, since it takes a large input at the key end to lift and balance a small output at the SW. Thus, the MA is negative.

     

    Technically, the weight ratios we see published or discussed should be a number less than 1. For example a 5.7 mass ratio should really be its inverse, or 1/5.7 = 0.175 to 1, meaning that the SW will only be 17.5% of the activating downforce resulting from the tandem efforts of the BW and FW*.


    So then, if at E44 the downforce is 57 grams, then the maximum theoretical SW = 57 * 0.175 = ~10 gram SW (approx. 8.5 gram hammer). And so, equilibrium is attained. Should the actual SW exceed this maximum, then key leads begin to pile up in order to maintain static balance.

     

    Since our tradition has set the weight ratio above the number 1, and since this ratio comes in as 5 "point something", it is often confused with the simpler AR of distance input to output.


    *Strictly speaking, the BW in this sense does not include the weight of the wippen, which is an intermediary "gear". Its weight does not contribute to the ratio dimensions of its lever arms, which form the basis for the ratio calculations. This is why the wippen weight is subtracted from Stanwood's equations for AR and SW. The effective wippen weight at the key end (say 8 g), the BW (as used here, say 30 g) and friction (say 12 g) are always overcome by the pianist's touch (total 50 g DW). The FW contributes to the combined effort to rotate the key.

     

    RE the Green Zone or Goldilocks zone: In my earlier work I tended to target an average AR. These many years now, I use the end of stroke AR, which comes is at ~5.0 (plus or minus a 10th).  I like this better as it dovetails with the manufacturer's regulating specs. Any readers using my older programs should contact me for updates. If your current program includes a page called Compare, you are mostly up to date, but still may be lacking a small item or two.

     









  • 8.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-17-2020 18:42
    Hi David and Nick,
    Thanks to Nick for clearing that up. The end of stroke AR is I what I was referring to also as being about ~5.0. End stroke AR is especially convenient to use since both radial arm measurement and action regulation spec measurements come up with the same AR number, confirming each other within 1% or 2%.
    I'm not saying anyone is right or wrong how they measure. However I'm attempting to objectively and simply measure action ratio and key ratio using the most standard and accepted methods. Gravagne and Baldassin's methods at least agree and confirm each other, and they agree with my ancient copy of Walter Pfeiffer's "Piano Key and Whippen" book, which is the old standard on the subject. 

    Nicks article in December 2018 is I think the best definition on how to measure radial arms, and his article in March 2019 covers the fact that the AR changes throughout the key stroke.

    As Nick notes, most techs can just use their own method internal, and that's fine, I have to have a way to talk to my rebuilder customers so that we're both on the same page.


    ------------------------------
    Dean Reyburn, RPT
    Reyburn Pianoworks
    Reyburn CyberTuner
    1-616-498-9854
    dean@reyburn.com
    www.reyburnpianoworks.com
    www.cybertuner.com 
    Facebook: www.facebook.com/dean.reyburn
    ------------------------------



  • 9.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-17-2020 23:59

    Nick.

    I see. It's kind of like following what you should and shouldn't eat.  Things keep changing. That's a bit different than the last time I looked at you program. I don't think you were using end of the stroke at that time. Hopefully this helps to answer Jim's question as to why folks are arriving at different numbers. 

    thanks for taking the time. 



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



  • 10.  RE: Action Ratio Measuring

    Posted 01-18-2020 11:01
    <Things keep changing. That's a bit different than the last time I looked at you program. I don't think you were using end of the stroke at that time.

    This sums up the problem I am trying to address.  If even an individual's private definitions of an action ratio are continually changing and evolving, there is no way that discussions between techs can not only avoid mis-communication, but effectively seriously avoid confusing and unintentionally misinforming the conversation. We, by definition, will always have to be talking about apples and oranges, or apples and orang-pples, or appl-ges and orang-ados. 

    By "misinform" I mean,for example, tech x reads about the ratio I declare to be 5.23. They then gather a bunch of info from any of the knowledgeably techs in this thread, or in Mario's book, or anywhere, it doesn't matter. Then they try to duplicate my results at 5.23 using a hodgepodge of other calculation assumptions, ending up god knows where, and taking a lot of time to get there.

    One of the interesting things I find from my own post  which started the "half-punching" thread,  is that I Included a ratio number in order to communicate better ....well that worked dandy Jim, didn't it?...ah no...it just illustrated this problem well.

    The interesting things about this is, much like Alexander above, my own process has evolved in a way that doesn't assign a ratio at all...none...nada..neitnte. I no longer find the number useful.  I mention this, as it could be a way out of the communication morass, perhaps...ie, quit talking about AR's altogether, as they are not informative.  

    My own evolution in the action design arena, actually mirrors this "quit talking about AR" idea. Here is my own evolution in brief as an illustration.  I was first mentored by Bruce Clark, and used both Bruce's proprietary program (which he has decided not to make public, at least for present), and CAD from my own design background. The procedure was: measure action cavity dimensional parameters. Based on the action cavity's givens, design to a given set of regulation parameters, using the Clark/CAD approach to design and draw it conceptually. Then model it in an action model, and then model it in the actual action. It was not until a number of years later that  I realized, that since in the end, I was going to model it anyway on the real action, I really could just skip the CAD/computer work, as well as the action model work middlemen, and just go directly to empirically proving regulation parameters on the actual as built key frame/stack, by messing with the capstan and heel parameters...no computer necessary.  One of the reasons this made sense to me was, that if one looks at the givens which are imposed by an as-built action cavity, the possible number of mind boggling variables in the work, can be strategically reduced to only a small number of variables...ie, there are less choices to be made than one might think.

    For example
    -String Height is a given.
    -Action Cavity Entrance height (distance between keybed and stretcher/block) is given.
    -This means Bore distance is a given and shank height/stack elevation are a given.
    -Strike point is given, which means shank length is given (unless stack placement is screwed up).
    -add to that, if one imposes a known set of regulation specs that you know empirically work with a range of hammer weights, there is another set of givens...ie hammer weight and regulation specs.

    This reduces the variables to capstan position, whippen heel height/location, and knuckle distance, as the only variables (in an existing action). Balance rail position is a  potential variable, especially if like Dean, you are making a new key set. Although on that score, even though I have done balance rail height and front back relocation on existing keysets,  I frankly have gotten fine results by taking the balance rail position as a given and only considering capstan position, heel heights/placement, and knuckle location as a variable.

    I think Nick said it well... 

    < In the final analysis, if what you are doing allows for a  ─ "standard" regulation (close to the mfg. specs), and your hammer weights and key leads are under control (which means inertia is under control) ─ then your action ratios (whatever you think they are or however you measured them) are useful and relative to your work. However, they may not translate well over the internet.   

    So why don't we refer to action ratio by not referring to it directly, but simply by referring to as-built regulation specs, relative amount of ballast required to hit the action's static DW? This would say something which tells you a whole lot about the given action, without unintentionally mis-informing anyone, including ourselves?

    Another possibility, as in the pics in the OP in this thread, even though technically incorrect because it measures vertical linear dimensions instead of arcs,  taking simple action ratio as shown in the pics, can in be informative in a statistical sense.  Even though technically innacurate, it could indicate roughly, statistically what a given action would feel like in the powered portion of the stroke...a ballpark measurement, suitable for discussions, but not an absolute design value...just throwing out ideas. Problem with this is that the brain sees a number,and the bias is to inappropriately assign credibility of precision to that number , because its a number and because its published on the forum or journal ("But I saw it on the internets!" syndrome) 

    just thinking out loud...Nah, I take that back...I think any AR number is a realistically hopeless way to try and communicate about this stuff.




    ------------------------------
    Jim Ialeggio
    grandpianosolutions.com
    Shirley, MA
    978 425-9026
    ------------------------------



  • 11.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-18-2020 11:08

    @Let me add, and just thinking out loud here. So measuring the key dip/hammer travel relationship would presumably be an AR "average" since we're measuring from the beginning of the strike to the end (or quasi end) and since the AR changes through the stroke this represents some type of average. 

    As far as MAR it seems to me (if that were actually being used as a guide for how to set up AR/SW relationships) that it would be more important to measure at the beginning of the strike since the force to overcome inertia is highest at the onset of key movement, not at the end. 

    To add to the confusion, an AR of 5.5 has long been talked about as a standard by many manufacturers. Clearly they were using some different form of measurement. 

    From our previous discussions (now some years old) measurements were being taken with the key at rest so I gather your methods have changed since then. 



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



  • 12.  RE: Action Ratio Measuring

    Posted 01-18-2020 15:13
    <From our previous discussions (now some years old) measurements were being taken with the key at rest so I gather your methods have changed since then. 

    yeah this is correct.  I was frustrated that I was actually of coming up with, what seemed to me, arbitrary moments of where to measure things. I felt as if I was imposing my own physical assumptions on what the system was doing in its totality, and simplifying it to a particular moment, because it was easier to think about...a fairly common, if not universal modeling bias. So,  I said to myself, the regulation parameters are what the total behavior of the action will achieve or not achieve. What I have actually designed, when it is designed using the actual parts on the actual frame and stack, will give me a total picture where I have not imposed assumptions on the whole system. It also is nice that it takes 1/3 the time of my previous system, and is basically foolproof, and fairly "duhh" process. 

    Also, as we are in the land of one-off's, when rebuilding,  proceeding empirically, as I now do, by working to a strategically normalized set of regulation specs, means I can exit, to some degree, the one-off-ness of the design, and continue action to action to refine the touch incrementally.

    ------------------------------
    Jim Ialeggio
    grandpianosolutions.com
    Shirley, MA
    978 425-9026
    ------------------------------



  • 13.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-18-2020 16:43
    Actually my comment about previous discussions was directed at Nick.
    For me, I use these methods in order to establish an AR/SW relationship that yields targeted BW without excessive FW or even targeting a specific front weight at certain note markers.  That's what is most important for me.  That generally falls within a pretty narrow range so I don't really sweat the regulation specs.  Even the Steinway manuals gives a range of 3.90 - 4.something as a dip range so they accept that executions will vary (why they do for one manufacturer making the same models over and over again is another discussion) and many pianos have different dip specs so I don't really worry about it that much.  

    If I plug in 4.9 - 5.1 AR to my spread sheet and go from there I will get something I really don't want, inertia which is too low and dip requirements that are too deep.  

    If I were making key sets I think I'd approach it differently.

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



  • 14.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-18-2020 20:58
    OK.  So I'm beginning to understand why the Stanwood style weight ratio gives different results than the Erwin (or Ialeggio) linear dip to hammer movement ratio.  

    The Stanwood weigh-off measures the ratio at the start of the stroke, where ratio is highest.  The 6 mm dip method measures an average of the ratio over most of the stroke (prior to letoff).  The average will always be lower, as the ratio drops lower as the stroke progresses.  Right?  Or is there something else lurking to explain the difference?  

    Using the gram weights, assuming odd friction has been eliminated, we find the minimum Down Weight required to get the hammer to move, and it usually accelerates once it starts.  We find the maximum Up Weight by watching for the hammer to make it completely back to the starting point, and one more gram keeps it just a little bit too high.  Thus, the area of critical observation is at the beginning of the playing stroke, where the ratio is highest.  

    I've been attracted to the simplicity of the Erwin weighted 6 mm dip block, but could never get the numbers to make sense, having "grown up" with the Stanwood protocols.  Jim's point (and Erwin's, in his instruction sheet for the dip block) is that you compare what is there with what you know works, and make changes to the action to suit.  The actual ratio isn't as important as a consistent measurement system.  

    Here is something I've wanted to try:  Why not clip a 10 gram weight to the hammer and remeasure DW and UW to get a direct reading of overall ratio, much as we do by putting the 10 gram weight on the capstan to measure key ratio?  Maybe 10 grams on a hammer would put way too much weight on the knuckle, causing unreasonable friction and deformation.  A 1 gram clip-on wouldn't give us the resolution we need, in the 5.xx ratio. 1 or 10 grams would make the math easy.  Perhaps 2 or 4 grams are a better compromise, but require a calculation, rather than just shifting decimal points.  Has this been tried?  Surely it must have, but I've not read about it.  


    ------------------------------
    Greg Graham, RPT
    Brodheadsville, PA
    ------------------------------



  • 15.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-18-2020 17:34

    Gravagne wrote: "The AR cannot be changed simply by changing the blow, or any of these variables. For example, shortening the blow will increase the aftertouch and vice versa."


    I don't think anyone was arguing that you can change the AR by shortening the blow but you can (and often must) compensate for an AR which delivers non standard regulation specs by changing those specs. In other words with a very low AR you may be required to increase the dip, shorten the blow or reduce the after touch or some combination of those three. There's no free lunch. You have to pay the piper somewhere. 



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



  • 16.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-23-2020 18:52
    I would love to see John Rhodes weigh in on this. In his and Darrel Fandrich's work in developing the spreadsheet connected with the WeightBench software, they looked at all sorts of variables that have an impact during the course of the key stroke, including knuckle diameter and jack tender orientation. These are made part of a system including the normal geometric measurements of level arms to create a predictive program that allows one to see what altering each variable will do to the whole. I have found it quite reliable in my limited use.

    That doesn't really help with the basic question of this thread, which is how to approach a consistent way of expressing action ratio. The bottom line is that there are many methods, and they do not produce consistent results.

    Just to give another wrinkle, I once decided to experiment with using mass, adding and subtracting weight at the hammer crown in various increments, thinking the proportion between varying added masses and resultant DW/UW would be useful for confirming/denying other calculated ratios. Long story short, it was a wash. Didn't work at all, was very inconsistent. I think the problem lay in the fact that added mass affects DW, UW and friction in a nonlinear way.

    ------------------------------
    Fred Sturm
    University of New Mexico
    fssturm@unm.edu
    http://fredsturm.net
    http://www.artoftuning.com
    "We either make ourselves happy or miserable. The amount of work is the same." - Carlos Casteneda
    ------------------------------



  • 17.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-27-2020 18:48
    Jim, 

    When you measure your way on a table or bench, does the frame need to be bedded like in the piano? Will frame deflection effect the AR results? 

    Thanks,
    Daniel

    ------------------------------
    Daniel Achten
    Chattanooga TN
    423-760-2458
    ------------------------------



  • 18.  RE: Action Ratio Measuring

    Posted 01-27-2020 20:09
    No, frame deflection will not change the AR.  It will mostly effect Dip.

    ------------------------------
    Jim Ialeggio
    grandpianosolutions.com
    Shirley, MA
    978 425-9026
    ------------------------------



  • 19.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-29-2020 00:36
    That doesn't really help with the basic question of this thread, which is how to approach a consistent way of expressing action ratio. The bottom line is that there are many methods, and they do not produce consistent results.

    Just to give another wrinkle, I once decided to experiment with using mass, adding and subtracting weight at the hammer crown in various increments, thinking the proportion between varying added masses and resultant DW/UW would be useful for confirming/denying other calculated ratios. Long story short, it was a wash. Didn't work at all, was very inconsistent. I think the problem lay in the fact that added mass affects DW, UW and friction in a nonlinear way.

    Very astute.

    This illustrates the mantra that everyone needs to repeat until they understand it's meaning:
          Static measurements do not and cannot reliably predict dynamic experience. 

    Point #2014 
    The only truly valid measurement is taken from the practice of measuring the efficiency of beam scales: F=DW-UW/2
    Unfortunately that is a largely useless measurement because we already know that we need to deal with friction as a part of good action hygiene before even beginning any kind of action analysis. 

    Point #2 (no ill will intended towards David Stanwood. In fact I suggest he should get a Golden Hammer for turning our interest towards action touch effort.)
    However, most of the numbers in Stanwood's patent are seriously erroneous by
    ​​orders of magnitude. Some of this was explained in a series of Journal articles by engineer Rick Voit -- but I suspect most of the contents of those articles were over the heads of most of us.
    Yet, despite the lack of scientific validity and the variable real-world results from applying that system, people continue to use that approach -- and continue to get variable results.

    Point #4
    The piano action is neither a balance nor a hoist -- yet the methodologies presently advocated treat the action as one or the other when, in fact it is a device to accelerate the hammer towards the string.-- like a ballista or catapult.  Hence the applicable science to questions of touch effort is the study of ballistics.

    Point #5
    Different sources of touch resistance feel different.​ Yet, all current approaches aggregate various sources of resistance together. 

    Point #5
    Velocity is a greater factor of action efficiency and touch effort than mass​ by an order of magnitude ( F=MV^2/2) yet we have no measurement of velocity whatsoever. WE ARE FAILING TO MEASURE THE MOST SIGNIFICANT ASPECT OF ACTION TOUCH RESISTANCE AND THEN MARVEL THAT WE GET VARIABLE RESULTS.

    I could go on, but here are my bottom line suggestions for this topic:
    A) Just stop.  Stop using whatever means you think are telling you valid information because they are mostly not. 
    B) Let's develop the means to measure velocity and dynamic resistance to achieve valid and predictable action touch parameters.
    C) In the meantime, learn the difference between precision and accuracy and trust your own fingers to assess touch issues accurately even there is no numerical display with readings out to three decimal places. 





    ------------------------------
    Keith Akins
    Akins Pianocraft
    Menominee MI
    715-775-0022
    ------------------------------



  • 20.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-29-2020 00:39
    Don't know where "point #2014" came from. ???​

    ------------------------------
    Keith Akins
    Akins Pianocraft
    Menominee MI
    715-775-0022
    ------------------------------



  • 21.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-29-2020 01:19
    This is wayyy beyond me. But I wonder if the math/engineering type folks here ever reference the Acoustical Society of America and their journal. These people are serious number crunchers who have done extensive research on the physics of pianos for many years.
    A quick search yielded this, https://asa.scitation.org/action/doSearch?SeriesKey=jas&AllField=piano+hammer+velocity
    or https://asa.scitation.org/action/doSearch?SeriesKey=jas&AllField=ballistics+piano+actions
    Access is limited without membership but maybe the guild could develop some relationship.
    This one might be on point.
    https://asa.scitation.org/doi/full/10.1121/1.1944648
    or https://asa.scitation.org/doi/abs/10.1121/1.2934975

    (Actually the cost of membership is pretty reasonable!)
    ------------------------------
    Steven Rosenthal
    Honolulu HI
    808-521-7129
    ------------------------------



  • 22.  RE: Action Ratio Measuring

    Posted 01-29-2020 15:05
    Keith, if you type the "sharp" character, the site looses its mind and creates a "hashtag", whatever that is...so don't include the "sharp" character in your posts.

    ------------------------------
    Jim Ialeggio
    grandpianosolutions.com
    Shirley, MA
    978 425-9026
    ------------------------------



  • 23.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-29-2020 15:59
    Steve, 
    Thanks for pointing out the wealth of scientific study that has been done on these topics, which is unknown to the vast majority of PTG members (including at least many of those who write most profusely on the topics).

    One of the benefits of working for a university is access to all sorts of things of this sort. Since my university subscribes to JASA, I have full access, including the ability to download pdfs. If someone wants an article for study, let me know. I believe that sharing such a pdf privately would fall under "fair use." I have a copy of Stephen Birkett's Experimental investigation of the piano hammer-string interaction.

    My sense is that the best "objective" figure of AR for common use would be geometrical. Problems arise, though, due to the fact that the lever arms change relationship with one another through the keystroke, so a truly precise ratio is far more complex than simply measuring each lever arm and doing multiplication. The movement of the capstan against the wippen cushion, and that of the jack against the knuckle, results in a change of ration due to the intersecting arcs - this being only two of the complexities involved. 

    As I mentioned in my earlier post, I think perhaps Fandrich and Rhodes have done the best job to date of coming up with a spreadsheet to give practical predictive results. In any case, anyone offering an action ratio in a serious conversation should include the method used to arrive at it. Dip down and hammer up is one of the simplest (though it is imprecise if measured linearly, since both of those distances are arcs). As long as we are aware of the methodology, we can adapt. Maybe somebody could come up with a reasonably good multiplier to convert between methods - wishful thinking.






  • 24.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-30-2020 10:46
    It's not quite true that static measurements can't predict dynamic experience.  The dynamic experience is, of course, not a fixed quantity because it depends on the level of acceleration.  The force to overcome inertia can be some 20 times the static force required to initiate movement (which is really the minimum force required with near zero acceleration) but determining that can be done.  See the link to the article I posted earlier.

    The inertia calculated by Gravagne's program are based on static measurements.  One can predict an acceptable or unacceptable dynamic range using Stanwood static measurements of FW, SW, BW, etc., on a given note.  So while the AR seems to be subject to different methods of determination, we shouldn't misread that to mean that we can't predict dynamic response range and make an informed decision about whether that will be acceptable or not, differences in player tastes notwithstanding.

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



  • 25.  RE: Action Ratio Measuring

    Posted 01-30-2020 13:41
    Seconded that dynamic property of mechanical system has nothing to do with static properties. In case of piano action statics are results of gravity and geometrical dementions of leverages and condition of contacting surfaces (friction) . Bring this action from Equador to Russian polar military base and DW will be some what higher due to change of Earth diameter and respectfully of gravity. In contrary , dynamics will not change even in zero gravity space as inertia is force developed by mass as a resistance to change the speed. BTW , 20 means acceleration of 20G... Overestimated perhaps.....

    Alexander Brusilovsky




  • 26.  RE: Action Ratio Measuring

    Registered Piano Technician
    Posted 01-30-2020 17:50
    Hi Alexander,

    David L wasn't suggesting that static observations and measurements are equal to their dynamic actions and forces. Only that we can get a good sense of things by measuring and observing the system in its at-rest stage. Surely it is not unrealistic to consider a very large and heavy flywheel, weigh it, measure its radius, imagine its rotational velocity and then predict that flywheel's relative dynamic behavior as compared to another flywheel half the size and weight. Otherwise what is the point of caring how heavy our hammers are, or how close the knuckle is to the shank center pin. Surely it is not unrealistic or pointless to calculate the inertia of hammer mass in relation to its radius of rotation as a predictive safeguard against choosing overly heavy hammers? Certainly we can say with certainty that the dynamic of the rotational heavy hammer is more dramatic than that of a light hammer. This is all we are saying here.

    Kind regards - Nick G