Patrick Draine here, with my "Communications Task Group Chair" hat on (for another week). I am closing this thread, as arguments seem to be going around & around. If others wish to carry on, please start another thread. But please remember that all poster have agreed to PTG's "Terms & Conditions", which recommend the following:
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Original Message:
Sent: 07-12-2024 17:21
From: Steven Norsworthy
Subject: Eigenmodes
David, all you have to do is research "Spectgram" and then talk to any reputable signal processing expert.
I recommend you close out your arguments with EXPERT opinion from a highly credentialed signal processing renowned person.
Steve
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Steven Norsworthy
CEO/President
RF2BITS, Inc.
Cardiff CA
619-964-0101
steven@rf2bits.com
Original Message:
Sent: 07-12-2024 17:16
From: David Pinnegar
Subject: Eigenmodes
Dear Steve
There are YouTube recordings for you, and anyone else, to see and hear piano notes being played together with an ETD which behaves as a simple oscilloscope. One set of samples comes from your own recordings. You have claimed that the P2 partial changes in pitch. According to the oscilloscope based ETD there is no change in pitch. Please kindly analyse the tones recorded in both videos before responding further in this thread.
You mention that you use an FFT process of analysis. Any undergraduate knows that Fourier Transforms are valid for infinite unvarying waveforms. If the waveforms are varying then FFT is inappropriate.
The assertion that the soundboard changes the frequency of a driven vibration is wrong. Simply wrong. It cannot do that and in this thread above is a series of academic sources relating to soundboard resonances and Chladni modes in which amplitude, not frequency, is variant.
Anyone who bothers to look up the initials after my name will see that I am academically qualified to be able to tell you that your conclusions are wrong whatever credentials you claim.
In another thread when asked whether you were measuring one string or three strings the reply was that it was the vibration of three strings together which you were measuring. In piano tuning we measure just one string by itself and for that reason what you are telling us about what PianoSens can do is irrelevant to tuning pianos.
Best wishes
David P
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David Pinnegar, B.Sc., A.R.C.S.
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+44 1342 850594
Original Message:
Sent: 7/12/2024 3:47:00 PM
From: Steven Norsworthy
Subject: RE: Eigenmodes
David,
Your statement about FFT's only being good for constant tones is totally refuted in 50 years of spectrogram analysis. The fact is, spectrograms based on FFT's are the prime tool for non-stationary signal analysis.
Ask anyone who has the credentials and equipment to replicate my experiment and results. They will find the same basic trends and results. I assume you don't have such a setup and don't have the expertise to achieve the frequency resolution in a window of time that is down to this level of precision. Just find the unbiased credentialed engineer who can do this, please. Keep it objective and not based on hunches or opinions. This is science, not art/opinion. --- Steve
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Steven Norsworthy
CEO/President
RF2BITS, Inc.
Cardiff CA
619-964-0101
steven@rf2bits.com
Original Message:
Sent: 07-12-2024 14:53
From: David Pinnegar
Subject: Eigenmodes
FFTs are not the relevant way to measure transient phenomenae. The Fourier Transform is appropriate to constant tones and breaks down on transients.
Peter's experience external to the instrument will be on account of room reflections and standing waves. This is common with loudspeaker and microphone measurements.
There will be amplitude variations across the soundboard and quickly damped and localised inharmonic frequencies of strings excited in the transient.
Please analyse the frequencies of the two videos I've posted which will prove your point if it exists rather than bluster about your friend's qualifications
Best wishes
David P
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David Pinnegar, B.Sc., A.R.C.S.
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+44 1342 850594
Original Message:
Sent: 7/12/2024 2:06:00 PM
From: Steven Norsworthy
Subject: RE: Eigenmodes
What started this research? My partner, former MIT prof. and PhD in signal processing, recorded his Steinway B with 10 identical mics on various notes, and used intra-bin interpolated FFT's on the first 1 sec of data (a technique well accepted in the field). He looked as the spatial variance of the first 10 partials. Below is a picture of that result. This further allowed us to look into the basic mechanism. The parallel resonance model or eigemmodes is the best explanation so far. It also validates why aural tuners like Peter can count different beat rates (frequencies) spatially.
Steve N.
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Steven Norsworthy
CEO/President
RF2BITS, Inc.
Cardiff CA
619-964-0101
steven@rf2bits.com
Original Message:
Sent: 07-12-2024 13:33
From: Steven Norsworthy
Subject: Eigenmodes
David, I reiterate the challenge that you have an objective non-biased researcher of high academic credentials in this field refute the 2014 paper or refute the findings I present.
Every experienced tuner I have met understand spatial frequency variance. Again, think the parallel resonator model. That is essentially the 2014 research paper. All I have done is validate it.
Comments like "Emperor's New Clothes" does nothing to facilitate the discussion. Notice I don't use these ad hominem type of remarks. I stick to the engineering and data.
Steve N.
------------------------------
Steven Norsworthy
CEO/President
RF2BITS, Inc.
Cardiff CA
619-964-0101
steven@rf2bits.com
Original Message:
Sent: 07-12-2024 13:18
From: David Pinnegar
Subject: Eigenmodes
Dear Peter
Thanks. This is an interesting phenomenon but it is not on account of eigenmodes of a soundboard and nor is it to do with a change of frequency on the transient. Below are academic notes which demonstrate that velocity of vibrations varies but not their frequency.
What will be happening is that strings with inharmonicity will produce partials at different beat rates. Depending on where you're standing in an enclosed space, certain frequencies will make standing waves in the room and be prominent in one place and not in another. With non-harmonically related frequencies different harmonics will interact in different places and give different beating phenomenae. On the video of Steven's second partials, no difference is detected between the same note picked up by the device or two microphones. It is common sense that the right microphone nearer to C5 therefore would pick up the note at a higher amplitude and therefore with less noise. I test microphones and this is the sort of thing that one picks up with mics as well as with the pure tones of organ pipes.
Different velocities of vibration, not frequency, across soundboard
The velocity, the amplitude of a vibration can change in a resonating plate but not its frequency. The driving frequency will be uniform across the resonating plate and were it not to be so it wouldn't resonate or it would sound horrible.
I'm all for progress and the bringing forward of new tools but not tools to solve problems that don't exist or, if the understanding of the physics underlying the development of the tool is flawed, being marketed upon what appears to be faulty foundations.
Stephen's P2 harmonic has been measured and found not to demonstrate the phenonomen that he claims. Frequency is analysed by the oscilloscope, nothing more nothing less, and the CTS5 tuner behaves instantly, as one can see when it picks up my speech, as a form of oscilloscope.
It is typical of marketing that the originator of an Emperor's New Clothes device says that the effect can't be seen with a commercially available device. I buy clothes that can be seen.
Best wishes
David P
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David Pinnegar, B.Sc., A.R.C.S.
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+44 1342 850594
Original Message:
Sent: 7/12/2024 12:51:00 PM
From: Peter Grey
Subject: RE: Eigenmodes
David,
I have a question for you. Since you've never been involved in the preparation of a piano for PTG exam purposes, you may be unaware of the process (although perhaps you are). At any rate, three techs are involved and must agree unanimously on each interval tuned and subsequently recorded. In the process, one tech is doing the tuning while the other two are listening and evaluating (so three are listening). It is not an uncommon experience for one or more of these tuners to aurally "hear" a different beat rate on an interval being tuned than the one actually tuning it. I have repeatedly had the experience where the tuner hears one beat rate, and the tech on the left hears another beat rate, and the third on the right hears yet another beat rate. When the "outsiders" switch positions they now hear what the other heard in that position.
What, in your opinion would account for this if no spatial pitch differences exist?
Peter Grey Piano Doctor
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Peter Grey
Stratham NH
(603) 686-2395
pianodoctor57@gmail.com
Original Message:
Sent: 07-12-2024 12:35
From: David Pinnegar
Subject: Eigenmodes
Steven - in practical terms as tuners we're talking about the practise of tuning.
Putting an oscillator onto a resonating surface will not change the frequency other than potentially adding to the mass of the oscillator and potentially lowering the frequency of the oscillator. The frequency will not vary across the resonator - the resonator cannot change the frequency at which it is driven.
Accordingly there are no changes of frequency from the point of vibration driving to any other places on the surface.
The "eigenmodes" will cause areas of higher amplitude in one place rather than another but these are not frequency shifted. The soundboard cannot vibrate at any frequency at which it is not driven. Its different response is in respect of amplitude, not frequency. This physics was explored 150 or so years ago with Chladni figures.
However, loading the surface with oscillators other than the driving oscillator will cause those oscillators, strings, to ring at whatever frequency they are tuned to and where there are harmonics. Accordingly there will be near-frequency amplitudes arising from neighbouring strings which will probably be detected according to where a microphone might be placed nearby. However these frequencies near enough to be excited will be damped by the dampers on the strings within a very few number of vibrations.
This is basic physics.
Your research is blinded by insisting on a time-window analysis rather than realtime. As you are aware, I have analysed the P2 partial in the C5 note that you demonstrated in another video and the _frequency_ , contrary to your assertion, does not change.
https://youtu.be/_yLt0GotsA8 is the P2 harmonic of your samples for you to lookat and re-analyse. The samples are compensated for amplitude diminution. The frequency is wholly stable for all practical purposes and not varying by up to 2 cents as you claim. Other people can get their ETDs to listen to those signals and draw their own conclusions.
The partial spread you claim is phantom.
Accordingly
1. tuning should not be carried out on the transient. Valid tuning will be achieved only after spurious vibrations have been damped and the impulse given to the initial string has settled into its proper standing wave
2. after the spurious oscillations have been damped there will be no variation of frequency experienced.
Provided the visual display of frequency is instant and not delayed, it's up to the skill of the tuner to choose the point at which he or she is choosing accordance with the experience of tuning and listening with the ear - because that's what it's all about.
Whilst tuning the other day I recorded
https://youtu.be/u-pna79T7Fo specifically for you - and anyone else - to test against their frequency measurement methods using a random instrument I was tuning. It happened to be a cr*p Esty which were I not to have given attention to would have been thrown out. Hammers were in terrible condition, strings were old - and so would contain worse inharmonicity - with five missing, and it was a baby grand causing highest imaginable inharmonicity.
Whilst it's appreciated that you've put a lot of effort into making a device, looking at the physics and the practical results from the point of view of a practical piano tuner tuning pianos, it's not a device that anyone needs to be pushed to buy, let alone to get a better tuning, because the observations touted for its justification appear from the examples in the videos above to be phantom.
Best wishes
David P
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David Pinnegar, B.Sc., A.R.C.S.
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+44 1342 850594
Original Message:
Sent: 7/12/2024 11:44:00 AM
From: Steven Norsworthy
Subject: RE: Eigenmodes
The discussion on Eigenmodes came from my video, which referenced a peer-reviewed paper from the Journal of Acoustic Society in 2014 which is cited in the video. The Video I posted can be found at
https://youtu.be/26zskT_GvkA
I have been studying this subject for over a year. The first reported finding from these experiments came from an earlier video I posted months prior. It can be found at
https://youtu.be/LPG32Kr1nKM
This research led to the development of examining the difference between capturing the piano sound through acoustics (a mic or human ear) vs capturing it directly off string movement. The conclusions are irrefutable and obvious.
There is nothing new about the fact that the soundboard has eigenmode resonance points, 450,000 identified points in the paper. Each resonance point in the soundboard is physically like having that many resonators in parallel all over the soundboard. For those not familiar with resonators, think of a tuning fork as a resonator. Strike the tuning fork and it rings at its center frequency. This is what some are not understanding. Each pickup point acoustically across the soundboard will pick up spatially more or less from the nearest resonators or eigenmode points. Just because the string has its partials on it does not necessarily mean the soundboard resonates at exactly these partial frequencies, but in fact the board rings at thousands of frequencies, many of which are very close in frequency. Hence, spatial variance.
In any 'system' we want to know what the 'source' is doing. The source is the string movement. The acoustic system is the 'transfer function' from the source (strings) to the acoustic wave coming off the soundboard. The least biased way of measuring is from the string, since there are thousands of transfer functions effectively coming off the soundboard.
If you talk to anyone involved in aural tuning exams, as Peter Grey has already cited, different beat rates come from different listening positions, causing judges to each hear different frequency results.
Therefore, I believe that to refute the results would require a task far greater than what one already tried to refute so far. 'Opinions' are not sufficient, we need experimental data with precise engineering behind it.
Best,
Steve N.
------------------------------
Steven Norsworthy
CEO/President
RF2BITS, Inc.
Cardiff CA
619-964-0101
steven@rf2bits.com
Original Message:
Sent: 07-06-2024 22:31
From: Tim Foster
Subject: Eigenmodes
Steven, thank you for this, I appreciate your thoughtfulness and consideration of so many moving parts. I have found regardless of temperament I use, tuning all the wound strings aurally gives me the best results, especially on quality instruments. It takes a little longer, but I'm far more pleased with the finished product.
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Tim Foster RPT
New Oxford PA
(470) 231-6074
Original Message:
Sent: 07-06-2024 21:17
From: Steven Rosenthal
Subject: Eigenmodes
Paul, thanks for reposting this. I think that an important aspect is the general truism that if you use different tools, you'll get different results. There are advantages and disadvantages to whichever one chooses and there are always tradeoffs.
In this case there is a big difference between aural tuning techniques and ETD's regardless of what is used for input. One advantage with aural technique is that the tuner is using exactly the same "hardware" and "software" as the end-use. It's worth noting that our auditory system is binaural and that is fundamental to the way we listen. If one puts an earplug in one ear they will find a profound difference.
In other words, we are set up to perceive sound in an environment that is always rich in reflection, phasing, and generally infused with input from multiple sources and loci. In addition to the rich output of the soundboard, there is also all the acoustic information generated by the space the piano is in, reflections, "noise", even relative humidity and barometric pressure. Aural tuning incorporates all that information without the need for statistical analysis, analogue to digital conversion, algorithms, etc. They are working in the same medium with its broad spectrum of characteristics as the listener
The monophonic EDT is at a disadvantage in this respect, it can't parse the overall environment in any meaningful or timely way, it can't turn it's head or do any other sort of triangulation of all the acoustic activity in the environment. In the case of a sensor that takes the signal exclusively from the strings, there is no consideration of that at all and it's interesting that using a sensor one can still create a good tuning - that's informative. A microphone or pickup is a poor match for a pair of ears. And our software has no capabilities whatsoever for processing binaural input.
Given the same instrument placed in 3 different rooms, an aural tuner is likely to create 3 different tunings because they are accounting for the acoustical space. Someone relying completely on an ETD will create the same tuning, bright room, dark room, big room, small room.
Sometimes it's hard to tell what is a feature and what is a flaw, sometimes not.
There other things that ETD's excel at, tuning various temperaments and styles with a turn of the dial, calculating over pull for raising or lowering the pitch, providing data and graphic representations, working in noisy environments. But there are tradeoffs.
In a different thread, Peter Grey commented that among aural tuners one learns to find a "signature" in their work, another word might be character. All that tends to get flattened out when we use automation. It's telling that as one goes up the ladder from production pianos to better and better quality instruments one finds less and less automation in the factories till the very best instruments are largely hand made.
I agree Paul, more careful listening and more special attention.
------------------------------
Steven Rosenthal RPT
Honolulu HI
(808) 521-7129
Original Message:
Sent: 07-06-2024 14:05
From: David Pinnegar
Subject: Eigenmodes
Paul - thanks for calling this out and you make the point in a good way. I've written elsewhere - the mention of eigenmodes is simply blinding us with science.
The places where a soundboard vibrates with maxima and minima don't matter to us as a tuning community. Our only question is whether something is in tune or it's not. The places where the soundboard vibrates don't alter the frequency of vibration. It either vibrates or it doesn't and our standard ears or microphones will pick up that frequency just the same.
The person who introduces the red-herring of eigenmodes to us has also introduced us to the idea that strike and sustain frequencies are different. Upon testing, now time and time again, I've found nothing but a phase change but his analysis hasn't picked that up. What occurred to me was that when quizzed someone asked him whether he was testing single strings, as we experience when we tune, or whether the tricord. He responded that his tuning of the strings was so exact that he was measuring the tricord. Of course when tuning a single string, the vertical movement of the vibration transferred to the soundboard isn't significant and the other strings damp the bridge, but when two or three strings are all working in phase then they do move the soundboard and it's in the playing mode, not the tuning mode, where all three strings are sounded rather than one that then indeed there is a difference between strike and sustain. As tuners it's irrelevant to us but when we tune a subtle and good tuning, the sound is put out of tune by players who bash and the high amplitudes put tuning all over the place in the course of vibration.
The result of the introduction of the pseudo-science and mistaken observation is that a lot of people are being put to a lot of unnecessary complication in the art, let alone expense, and akin to those in the hifi world who think that their wires from amplifier to speaker should be oxygen-free copper or otherwise expensive metal.
Best wishes
David P
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David Pinnegar, B.Sc., A.R.C.S.
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+44 1342 850594
Original Message:
Sent: 7/6/2024 1:26:00 PM
From: Paul Klaus
Subject: Eigenmodes
Why favor a tuning device meant to avoid eigenmodes when a full approach would include them?
"The point is, you don't need to bother yourself with eigenmodes if you get the information (data, etc.) from the string itself, not the soundboard."
Disregard the soundboard? Really. So even though the soundboard produces what we actually hear, tuners need not bother to listen? How curious! Unique quirky board resonances would seem to make the case for special attention and more careful listening not less.