B How does output voltage of an electric guitar work?

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The discussion centers on understanding how electric guitar pickups convert string vibrations into voltage signals. Pickups function as transducers, responding to the motion of the strings rather than sound waves in the air, with the output voltage determined by the strength and speed of the string vibrations. When multiple strings are played simultaneously, their signals can interfere, but the pickup does not sum frequencies; it simply outputs a voltage based on the string movement. The concept of superposition is mentioned, suggesting that while individual string signals can combine, the pickup's output is a direct response to the vibrations rather than a complex summation of frequencies. Ultimately, the ability to distinguish different notes arises from the physics of string vibrations and how they are processed in audio circuits.
  • #61
sophiecentaur said:
Any non linearity due to the string's motion through the magnetic field is inconsequential compared with the way the string itself behaves. Why would you be so interested in that aspect of the guitar?
It was mainly curiosity which then made me think about it a bit. I read about interference and that many waves can add to each other and I saw those huge peaks.
Then I read about pickup having max 1V output and that one string/sound can make 0.8V peak so I wondered how the sum of all of those signals never crosses this 1V. So I thought maybe phase shift or that these signals have different frequencies so I made an geogebra diagram and it showed me that I was wrong and no matter the phase shift the peak was always high at some point so I wondered how pickup handles these high peak so they won't become 4V somehow ...

I don't know how to explain it better I just saw something u logical comparing the input wave amplitude to the output amplitude. The input amplitude has no restraints while output has which is the pickup max voltage.

So I wanted to see some examples or something and checked the website with voltage values of each string and the chord. I don't know if their electric signal added separately is the same as the one that already consist of those signals some said yes but ok. Still haven't seen an example.

But mainly curiosity which now sits like a worm on my head, because now I want to understand it :D

I could as well just know the max output value of the pick up and make an amplifier or a guitar effect no problem. But this question also came up because I wondered one day how (music) electric signal wave works if we for example reduce one peak of that sound will it reduce all sound or particular ones on that waveform, if all then they are now equally reduced. Or perhaps reducing one peak of that sound will change the frequency of all sound and Change the sound to something different than just lowering the volume of that same sound in one point.
.
Hmmm well yeah maybe like I said unnecessary question from me but somehow I just can't imagine how it does not exceed that 1V value hence just picking up the whole sound.


Averagesupernova said:
I don't understand why all this is so important to you when you don't even have a guitar. And then you want to build circuits to produce effects? Makes no sense to me.
I just liked the sound of the guitar from Deftone in music Sex Tape. So I wanted to make my own guitar pedal and maybe start playing on guitar.

It is maybe important because I just can't imagine it and my brain says I need to know it. I'm a bit of a perfectionist plus I got annoyed from the fact how many research I've done and still all of it is illogical. Like I did some adding waves diagram, but couldn't find the example of how the Input looks like or how big is the amplitude of the input or why even if one string is 0.8V adding 5 more it must exceed 1 V the max of pickup but it didn't.

This and many of things I have said are conflicting with each other. So that's why I was so persistent in using my example of use the example with value or with graph because I am a slow learner. But somehow as well I thought like those weren't very much the answer to my questions.

Still I don't know how RMS is helpful in creating circuits I saw some videos on YT where people described doing for example distortion effect using peak values of signals. To know how to clip it etc.
 
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  • #62
Baluncore said:
Chatgpt is an idiot. It has collected garbage for you from the web.
You need a better crap detector.

The pickup is linear, it does not limit the output.
The amplifier is non-linear, it does limit the signal at its input.

I mean yea but I couldn't find any other sources because most websites I've linked just showed some graphs without units, how the sound of different frequences add up but nothing about how the input looks like of the pickup how big the amplitude the input can be because output is limited. And why the signal from the link in post#1 of all single string voltages which can have 0.8V summing the rest 5 strings will not exceed this max pickup voltage, in which I've shown that there is a point in which all peaks adds even if they are phase shifted or have different frequences, still it stand with 1V, if that super big peak is not reduced then I don't know what happens with super big peaks which should result in 4.8V at some point but didn't happen.

To summarize it, there are 2 conflicting things :
- The sum of all voltages, if one string can have 0.8V and the rest strings are like 0.7V or 0.8V the sum of all 6 strings at some point should be 4.8V no matter of the phase shift or frequency, all 6 strings must exceed that value for a small time. But the pickup can make maks 1V that's the limit. Same goes with input signal. But input signal has no limits while output signal has limits.

- the units of the input signal. I usually saw in websites I've shown that the sound/vibration waves adding up usually exceeded that value "1" without unit so what does this amplitude mean to the pickup if he sees the input amplitude with at peak "10", will the pickup change that "10" input peak into 10V,10mV,1V ?? Dunno Input doesn't have limits while output has it is 1V so I don't know how pickup interprets this input amplitude. Conflicting thing which is still the same unknown unit hence unknown amplitude in the output what is "20" peak in input signal for pickup ? The problem is the input if input has no limits then how will the pickup interpret the "20" peak or "100" peak amplitude ... if "20" is for him 1V then "1000" peak input must be also 1V because that is max and that cuts some sound because it is "reduced".
 
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  • #63
Xenon02 said:
I mean yea but I couldn't find any other sources because most websites I've linked just showed some graphs without units, ...
If you cannot find reality, what hope does ChatGPT have?

Select the pickup that suits your style.
If you want lower-distortion, pluck fewer strings and use an insensitive pickup.

If you generate too-big a signal with the pickup, it will be distorted by the amplifier, but you selected that pickup, because that is exactly what you wanted.
 
  • #64
Baluncore said:
If you cannot find reality, what hope does ChatGPT have?
Still it was worth a try.
Because how people made pickup not knowing the input itself ? I know I won't be making one but still.

that's why I am still waiting for the answer to these questions below that are a conflicts :>
Xenon02 said:
To summarize it, there are 2 conflicting things :
- The sum of all voltages, if one string can have 0.8V and the rest strings are like 0.7V or 0.8V the sum of all 6 strings at some point should be 4.8V no matter of the phase shift or frequency, all 6 strings must exceed that value for a small time. But the pickup can make maks 1V that's the limit. Same goes with input signal. But input signal has no limits while output signal has limits.

- the units of the input signal. I usually saw in websites I've shown that the sound/vibration waves adding up usually exceeded that value "1" without unit so what does this amplitude mean to the pickup if he sees the input amplitude with at peak "10", will the pickup change that "10" input peak into 10V,10mV,1V ?? Dunno Input doesn't have limits while output has it is 1V so I don't know how pickup interprets this input amplitude. Conflicting thing which is still the same unknown unit hence unknown amplitude in the output what is "20" peak in input signal for pickup ? The problem is the input if input has no limits then how will the pickup interpret the "20" peak or "100" peak amplitude ... if "20" is for him 1V then "1000" peak input must be also 1V because that is max and that cuts some sound because it is "reduced".
 
  • #65
Xenon02 said:
that's why I am still waiting for the answer to these questions below that are a conflicts :>
They conflict only in your head, because you demand freedom of choice, then refuse to accept the consequences of that choice.

Millions of people are happy with electric guitar pickups and amplifiers. Only you demand that, every pickup, must work with every amplifier, without the possibility of distortion. You have clearly chosen the wrong instrument.
 
  • #66
Baluncore said:
They conflict only in your head, because you demand freedom of choice, then refuse to accept the consequences of that choice.
Where I do that ?
Baluncore said:
Millions of people are happy with electric guitar pickups and amplifiers. Only you demand that, every pickup, must work with every amplifier, without the possibility of distortion. You have clearly chosen the wrong instrument.
When everybody says that pickups do not distort the sound then there is a conflict with the example I gave and the example from websites :

https://sound-au.com/articles/guitar-voltage.htm

https://www.informit.com/articles/article.aspx?p=2355856&seqNum=5

https://nsinstruments.com/principles/linear.html

So I made something similar :

1721232038445.png


This is just an input with max value "3" it is not voltage just input amplitude. Like in the articles/websites but still doesn't answer anything hence doesn't say how pickup understands those peaks.
that's why those questions I've set before still matters.
 
  • #67
Xenon02 said:
The sum of all voltages, if one string can have 0.8V and the rest strings are like 0.7V or 0.8V the sum of all 6 strings at some point should be 4.8V no matter of the phase shift or frequency, all 6 strings must exceed that value for a small time. But the pickup can make maks 1V that's the limit. Same goes with input signal. But input signal has no limits while output signal has limits.
You don't know that a .8 volt signal from each string individually is additive to 4.8 volts with six strings. There is no voltage input to a guitar pickup. The pickup is a transducer. That's like wondering what the voltage input to a microphone is. You do not have inputs as a measurable voltage going into a guitar pickup. You only have one output. The graphs you've posted are not representative of anything except someone's idea of how waves add. You can do the same thing in your favorite spreadsheet. I gave one reason why I believe the voltages do not add linearly in a guitar pickup. It seems to bounce off of you without consideration. I may be wrong or slightly off in this and if I am I welcome a response from someone.
-
You need to get a guitar and use a speaker driven from a source to excite the strings and make some measurements. Download audacity to do some of this.
 
  • #68
Xenon02 said:
This is just an input with max value "3" it is not voltage just input amplitude.
Input amplitude is converted by the transducer to a voltage.
Xenon02 said:
Like in the articles/websites but still doesn't answer anything hence doesn't say how pickup understands those peaks.
The pickup is linear, with low intelligence. It cannot understand anything, it does not distort.
Xenon02 said:
that's why those questions I've set before still matters.
Only to you, not to the rest of the world.
 
  • #69
Baluncore said:
Input amplitude is converted by transducer to voltage.
Amplitude of the input doesn't matter ? Nothing at all no matter the amplitude of the input the output will do something with it or randomly gives some equivalent voltage on the output from random peaks.
Baluncore said:
The pickup is linear, with low intelligence. It cannot understand anything, it does not distort.
So if input is "0.5" then the output is also 0.5V ? Dunno.
Baluncore said:
Only to you, not to the rest of the world.
Yes for me, sorry for asking. I will soon stop. I won't again.
Averagesupernova said:
The pickup is a transducer. That's like wondering what the voltage input to a microphone is.
Like here ?

1721233266658.png


Just tried to understand because everytime you strike the strings the sounds is the same so maybe the input is the same or very similar (same amplitude/frequency). So there must be some rule how it works out the input signal into output it cannot be random. So amplitude had to matter or something. So if 4.8V of the sum of 6 strings could happen or should happen does not just because is weird.


PS.
Of course the output voltage of a signal consist of all input frequencies signals so now it is up to the circuit how to module/mix it, like reducing one frequency of a specific sound which dunno what it leads to. Distorition is something of creating different frequencies from the original waveform. So like old frequencies don't apply and new are created or something like that.

But yea striking 2 strings at the same time you hear they sound the same all the time. So if the amplitude is so wiggly and sometimes has this peak I draw that represents nothing then I don't know how this transducer interprets input, what is the max input value that can get to the pickup, or how it lineary changes input into output like if 0.6V is the peak value of the output what is the equivelant of that peak on the input ? Again is Output = 0.6V then Input = ??
 
  • #70
Xenon02 said:
Distorition is something of creating different frequencies from the original waveform. So like old frequencies don't apply and new are created or something like that.
Distortion is non-linear. The old frequencies are still there, but more frequencies appear as harmonics of the inputs, plus sum and difference frequencies.
Xenon02 said:
Again is Output = 0.6V then Input = ??
Linear means that the output follows the input, with a scale factor only.
Linear means there is no distortion and no new frequency terms created.
 
  • #71
Baluncore said:
Distortion is non-linear. The old frequencies are still there, but more frequencies appear as harmonics of the inputs, plus sum and difference frequencies.

Linear means that the output follows the input, with a scale factor only.
Linear means there is no distortion and no new frequency terms created.
So it means that if Output is 0.6V then Input is "0.6" Wave vibration amplitude as I understand it cannot be "1.2" or any other value it must be "0.6" because it follows the output value in voltage. Although you've said about scale factor so.

About distortion good to know that old frequencies are still there, good to know.

PS.
Because the pickup does not reduce the amplitude of the input so there is no scale factor ? It must be 0.6V output = "0.6" Wave vibration input ????? Because when I showed the orange one with scaled version of the black signal or rather reduced. Then it was incorrect.

Did I understand it correctly ? Because It cannot be reduced as I know and that's how I interpreted the scale factor. Or rather pickups has the same scale factor or it changes everytime and it is not that easy as I thought. Dunno. I just gave an arbitrary example.
 
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  • #72
@Xenon02 concerning your diagram in post #69. What is that supposed to mean? You have sound waves going into the mic, sound waves coming out of the speaker, and electrical signals in between. So what? Where is the voltage on the input as well as the output of the transducers? There is none.
-
You need to do as I said setting up an experiment with a guitar. View the signals in a spectral display using audacity.
 
  • #73
Xenon02 said:
It must be 0.6V output = "0.6" Wave vibration input ?????
The most difficult subjects can be explained to the most slow-witted man if he has not formed any idea of them already; but the simplest thing cannot be made clear to the most intelligent man if he is firmly persuaded that he knows already, without a shadow of doubt, what is laid before him.
– Leo Tolstoy. 1894.
 
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  • #74
Averagesupernova said:
@Xenon02 concerning your diagram in post #69. What is that supposed to mean? You have sound waves going into the mic, sound waves coming out of the speaker, and electrical signals in between. So what? Where is the voltage on the input as well as the output of the transducers? There is none.
-
You need to do as I said setting up an experiment with a guitar. View the signals in a spectral display using audacity.

Dunno.

I imagined it like that :

1721236881623.png


The whole signal is scaled, like you have the high input and it's is just scaled by the pickup. The shape and everything is the same just scaled down by the pickup.

The scale factor is unknown if it's random or what but that's how I can somehow logically understand how the input is scaled in the output.


Baluncore said:
The most difficult subjects can be explained to the most slow-witted man if he has not formed any idea of them already; but the simplest thing cannot be made clear to the most intelligent man if he is firmly persuaded that he knows already, without a shadow of doubt, what is laid before him.
– Leo Tolstoy. 1894.
Again I apologize for me ;> If what I said is somehow correct then there is only one thing and I am done ... that's how lineary I see it in the picture or rather how the pickup scales the input if it indeed scales. It scales the final result of the input so.
 
  • #75
Xenon02 said:
. I'm a bit of a perfectionist
Which bit? Is it the bit that uses the wrong terminology? The effect that you are looking at is not 'interference'; it simple vector addition of signals at one location. To a first approximation, the output is the simple addition of the values of each of the signals involved.

To be honest, though. Perfect linearity of the pickup would depend on the magnetic field being uniform all over the flux gap so that it would be the same for all displacements of the string. Also, induced emf would probably be proportional to the string velocity in some pickups (as with some phono cartridges). I believe that the induced emf in the coil could be due to the change in the magnetic reluctance path as the string changes position. But now we're further down that rabbit hole and wasting quite a lot of our time down there. ;-)

First things first; learn about amplifiers first (and how to build them) .Learn about signal level handling and the problems of linearising amplifiers. There are a million and one IC audio amplifiers for small signals. Plenty of fun to be had there without bothering about the guitar pickup part of the exercise.
 
  • #76
Xenon02 said:
Dunno.

I imagined it like that :
Oh you can't be serious. Something is the way you think it is because you imagined it that way?
 
  • #77
Averagesupernova said:
Oh you can't be serious. Something is the way you think it is because you imagined it that way?

I don't know, I read it is linear so I tried to show an example.
Linear means that the output follows the input, with a scale factor only.
Linear means there is no distortion and no new frequency terms created.

So no distortions, no new frequencies, Input has the same shape as the output only the scale is different because maybe pickup has it's own scale factor ... I don't know. Just making conclusion from what I have.
I don't know how to tell you that I just thought of it like that or pictured it like that. That's why I said if it's something like that ... Did I say "I imagined it like that so it is that and there is no way it is wrong". I just followed what was written and made an example ...

I also followed that the pickup has some max value on the output because someone wrote about it I didn't get it out of nowhere. So probably (I don't know for sure), the input isn't limitless and has it's max value like pickup that cannot exceed, and the pickup factor just reduces the whole signal and that's it ... I don't know if there is something like pickup factor that is scaling the input value. I just pictured it like that from the quote :

Linear means that the output follows the input, with a scale factor only.

So Output = Input with a factor so like Output = Input * Factor.
 
  • #78
Xenon02 said:
I don't know, I read it is linear so I tried to show an example.
Linear means that the output follows the input, with a scale factor only.
Linear means there is no distortion and no new frequency terms created.

So no distortions, no new frequencies, Input has the same shape as the output only the scale is different because maybe pickup has it's own scale factor ... I don't know. Just making conclusion from what I have.
I don't know how to tell you that I just thought of it like that or pictured it like that. That's why I said if it's something like that ... Did I say "I imagined it like that so it is that and there is no way it is wrong". I just followed what was written and made an example ...

I also followed that the pickup has some max value on the output because someone wrote about it I didn't get it out of nowhere. So probably (I don't know for sure), the input isn't limitless and has it's max value like pickup that cannot exceed, and the pickup factor just reduces the whole signal and that's it ... I don't know if there is something like pickup factor that is scaling the input value. I just pictured it like that from the quote :

Linear means that the output follows the input, with a scale factor only.

So Output = Input with a factor so like Output = Input * Factor.
That really doesn't get to the crux of the issue.
-
The issue by my observations are:
You cannot measure input voltage on a guitar pickup. You seem to imply that the input is a known constant and that is not something that is easily done.
-
The other issue is you seem to believe it is impossible for a guitar pickup to output more than a volt. This is also false. I don't know the standards and it may be common practice attempt to keep the signal output below a volt.
 
  • #79
Averagesupernova said:
The issue by my observations are:
You cannot measure input voltage on a guitar pickup. You seem to imply that the input is a known constant and that is not something that is easily done.

I implied that the Input is a vibration signal not an input voltage. The pickup picks the vibrations so it must be something physical, the strings goes up and down in a specific frequency like a sinewave, so I thought the sinwave or waveform is the input of the pickup not voltage. That's why I was using "2" and not 2V as an input value, while output I clearly used Volts as a unit.

So it's something random ? Pickup will make it into voltage no matter the input amplitude value ?

Or perhaps indeed the input signal is unmeasurable because this is only vibration, and there is no input signal in the pickup. So the videos I saw where just a myth a bit, or I didn't understand something.
If that's what you've tried to tell me then okey the vibration isn't the signal input or rather it does not create sinus vibrating signal, just only the change in magnetic field, and the pickup just makes an output. So no input sinus I guess. That's what I was supposed to understand ?

Averagesupernova said:
The other issue is you seem to believe it is impossible for a guitar pickup to output more than a volt. This is also false. I don't know the standards and it may be common practice attempt to keep the signal output below a volt.
If it's false ok, I'll try to find more info about it.
 
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  • #80
Xenon02 said:
So it's something random ? Pickup will make it into voltage no matter the input amplitude value ?
You are putting words in my mouth. I've never said that.
 
  • #81
Xenon02 said:
Or perhaps indeed the input signal is unmeasurable because this is only vibration, and there is no input signal in the pickup.
I never said it was unmeasurable. I said it is difficult to measure.
-
A true accurate definition of what the input is needs to include the distance the string is moving at the pickup. Needs to be uniform in distance to the pickup compared to all strings. Also, several tests need to be done with different tensions with the same string. In other words, different frequencies using the same thickness string. Also I would like to see comparisons between different parts of the pickup with the same string and pitch. Without these things nailed down you really only know that a vibrating string makes a signal come out of the pickup.
 
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  • #82
Averagesupernova said:
You are putting words in my mouth. I've never said that.

I also have not said that the input is in voltage ;>
I was deducing but I did it incorrectly my bad here sorry.


Averagesupernova said:
A true accurate definition of what the input is needs to include the distance the string is moving at the pickup. Needs to be uniform in distance to the pickup compared to all strings. Also, several tests need to be done with different tensions with the same string. In other words, different frequencies using the same thickness string. Also I would like to see comparisons between different parts of the pickup with the same string and pitch. Without these things nailed down you really only know that a vibrating string makes a signal come out of the pickup.

So it's better to just assume that I have some output voltage and be happy with it then yes ? And not think about input signal ? It just works I guess. Although these vibrations are interesting in which I'll just pass I guess

Okey then last thing then, usually the electric signal of a chord/single string etc do not exceed 1V, I do not mean now that pickup max voltage output is 1V I just say now that usually the output voltage is usually 1V, so how 6 strings with amplitude 0.8V it's peak is equal also 0.8V and not higher ? It is now linear adding all sinewaves right all sinewaves from all 6 strings together. And the sum is 0.8V like single string amplitude ?
I used superposition and I just saw that different frequencies will always result in one moment where all peaks add up. So it is weird though that it stays only in 0.8V the sum of all 6 strings which individually are 0.8V as well.
 
  • #83
By deducing or whatever, you are implying that all tones are picked up the same. We have covered this. It is my suspicion that such is not the case. The higher pitched strings will not swing as far in their oscillation. They swing faster but cover less distance. So, we don't really know. However, in reading one of your links I did see that it was common for guitar amps to have a better high end response which implies the low tones generally come out of the guitar with a higher amplitude. This response of the amp tends to flatten the response. More than once I have wished for the opportunity to delve into the guts of a guitar amp. So far, no one has come to me with an amp problem.
 
  • #84
Averagesupernova said:
The higher pitched strings will not swing as far in their oscillation. They swing faster but cover less distance.
Yes. The induced voltage is proportional to the rate the magnetic field cuts the PU coil, which is greatest at the high-frequency end of the octave, so compensates.

The rate that the field cuts the PU coil, is greater for the lower-amplitude higher-harmonics, in the three or so octaves above the string's fundamental at that time.
 
  • #85
Xenon02 said:
Okey then last thing then, usually the electric signal of a chord/single string etc do not exceed 1V, I do not mean now that pickup max voltage output is 1V I just say now that usually the output voltage is usually 1V, so how 6 strings with amplitude 0.8V it's peak is equal also 0.8V and not higher ?
Is this actual data or are you making it up?
 
  • #86
Averagesupernova said:
By deducing or whatever, you are implying that all tones are picked up the same. We have covered this. It is my suspicion that such is not the case. The higher pitched strings will not swing as far in their oscillation. They swing faster but cover less distance. So, we don't really know. However, in reading one of your links I did see that it was common for guitar amps to have a better high end response which implies the low tones generally come out of the guitar with a higher amplitude. This response of the amp tends to flatten the response. More than once I have wished for the opportunity to delve into the guts of a guitar amp. So far, no one has come to me with an amp problem.

Wait a sec so in the link from post#1 the output voltage is not measure from pickup ?

But if still the pickup makes higher amplitudę for the bridge part then again high amplitude adds up, the rule of superposition and so applied and all sounds from 6 strings have different frequencies so still it contradicts with the fact that there must be high peak and there is not. What is the flaw of superposition here ? In fact it was confirmed here that output signal I can use superposition on output signal. Because adding Individual signals from E1 and E2 will look the same as if E1+E2 already where played at the same time. So the sum of individual is equal to the voltage output.


Drakkith said:
Is this actual data or are you making it up?
From first link in post#1 I took as a reference E1 and E2 but the chor consists of 6 strings while here I had E1 and E2. But seeing that the output is high because 0.8V or a bit smaller like 0.6V then I deduced that E3 ... E6 of that chor is also high so adding all 6 up for chor should result in high peak although in the article it says it is max 0.8V which doesn't make sense to me, knowing the superposition or the fact that peak values add up at some point because all signals have different frequencies
 
  • #87
I don't know where the voltage is taken in the link in post #1. However, the quote below comes from that link.

It's also easy to see why most guitar amps have a significant amount of treble boost - it's necessary because the output of the higher strings is almost always lower than expected.
 
  • #88
Averagesupernova said:
I don't know where the voltage is taken in the link in post #1. However, the quote below comes from that link.
1721280680163.png


Here it says at the top pickup voltage and not amp voltage so. E1 In Samick TV is 800mV peak, E2 is 200mV peak so the rest of the strings have smaller amplitude ?

Still the sum of E1 and E1 should give at some point 1V looking at this graph I've made

1721280815698.png



Why it must ? No matter what phase shift I've applied it always had this one peak the sum of all peaks.

So why is it that the chord is 0.85 V ? Why the sum is different from what I add here or is my superposition incorrect if so there is my geogebra link in first post, I would be glad to see how it should look like
 
  • #89
Xenon02 said:
From first link in post#1
Stop assuming the data in that article is accurate. It isn't, the author of the article said so themselves, more than once, and I already touched on this in a previous post. You can see that the data is wildly different between two different guitars and doesn't even following a similar pattern, making anything except the broadest of statements about the data unreliable.

Xenon02 said:
Still the sum of E1 and E1 should give at some point 1V looking at this graph I've made
The voltages listed are RMS voltages, That means it's an average, so any peaks have been averaged out.
 
  • #90
Drakkith said:
The voltages listed are RMS voltages, That means it's an average, so any peaks have been averaged out.
RMS and peak voltage is listed. In the bracket (). It's even written Average RMS (Peak)

The author was repeating these measure and they were similar, of course not accurate but very similar. Good point of reference.

So my calculations where conflicting, peaks should add up at some point so E1 + E2 = 1V, the chord is 0.8V which doesn't make sense because the chord consist of E1 = 0.8V and E2 of 0.2V

Their peaks must add up because of different frequencies so peaks must meet and because of superposition.

Any answer why superposition didn't work ? Logically E1+E2 = 1V peak, and there are 4 more strings so the peak should be bigger than >1V but it is 0.8V nonsense. Superposition didn 't work, logic behind it is illogical
 
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