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Is the 12th fret harmonic an independant...

property of the strings?

Those of you who read the thread 'A couple of questions about tuning...' will know there seems to be some disagreement about whether the 12th fret harmonic is part of the intonation process or an independant property of the strings.

In that thread I claimed the harmonic is an independant property and offered a way to prove it somewhat scientifically. Well I went ahead and did the experiment myself and I belive it strongly supports my position. You are welcome to perform it yourself and see.

First, I used my P-Lyte since the strings were well broken in. I checked the intonation which was as accurate as I can get it.

Then I twisted a 3/4 inch piece of wire around the 'A' string at the 6th fret.

SAM_0011.JPG

Next, I retuned the open 'A', necessary because the mass 'defect' made the string out of tune.

Open A.JPG

Then I checked the 12th fret and found it was still in tune. This is to be expected since the mass 'defect' is below the 12th fret.

12th Fret  A.JPG

At this point the string can be considered intonated (to at least the level most of us would accept). That is the open 'A' is in tune and the 12th fret is an octave higher.

So what about the harmonic, the harmonic that was exactly 1 octave higher than the open 'A'? It's 10 cents flat.

12th Fret Harmonic.JPG

I think that shows pretty conclusively that a string can be intonated and yet the harmonic can be out. A simple mass defect in the string can cause this condition.

I welcome your comments.
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Re: Is the 12th fret harmonic an independant...

6/28/2010 11:17 PM

WAYNE ELLIOTT (21617) wrote:

Move the "green wire" to
an inch or two above the
bridge saddle, and do the
experiment again!



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Re: Is the 12th fret harmonic an independant...

6/29/2010 11:31 AM

Paul Warren (14577) wrote:

I don't need to. I already know what the result will be. The harmonic will be sharp by roughly the same amount.

However, I would need to move the saddle instead of just tuning the string and I'm not prepared to spend that much time on it. I've established the physics to my own satisfaction and documented the procedure so anyone can try it themselves.

I've also provided web sites that support my claims in the original thread. I don't know what else I can do.

All I can say is we'll have to agree to disagree here.



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Re: Is the 12th fret harmonic an independant...

6/30/2010 5:20 PM

Adam Furay (1713) wrote:

i'm failing to see the practical application of your research.





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Re: Is the 12th fret harmonic an independant...

6/30/2010 6:19 PM

Paul Warren (14577) wrote:

One practical application is you can intonate a defective string. That is if it isn't too defective and assuming you don't use harmonics in your playing.

Another practical application is, if you intonate by tuning the open string first and adjusting the saddles so the 12th fret is 1 octave higher then a quick check of the 12th fret harmonic will tell you if the string has a defect (assuming of course that all other aspects of the setup are correct).

The main point wasn't so much practical. It was to show that the harmonic can, under some circumstances, not be at the same pitch as the 12th fret.





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Re: Is the 12th fret harmonic an independant...

6/30/2010 9:40 PM

Dave Magaro (20517) wrote:

Well first off Paul well done. Agree or disagree I love the fact that you had a thought and found a way to support what you were saying by a simple experiment. I applaud the effort. I am still having a little trouble rationalizing the whole thing though. Here is why: Sometimes I use Rotosound piano strings. The mass IS different on one of those. You have about a quarter inch from the saddle that is just the core of the string. Without the winding going all the way to the saddle would that not cause a differential in mass? Yet I have never had any problem with intonation or harmonics with these strings. Is it possible that you may be creating a second harmonic with the wire on the string that is throwing the harmonic off with the tuner? Im just asking as I really dont want to get in the middle of you and Waynes discussion here!!!

RS99.jpg





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Re: Is the 12th fret harmonic an independant...

6/30/2010 10:28 PM

Paul Warren (14577) wrote:

Well first off Paul well done. Agree or disagree I love the fact that you had a thought and found a way to support what you were saying by a simple experiment. I applaud the effort.

Thanks Dave. Like you, I want to get right into a problem and really understand it. You need to experiment to really understand.

Here is why: Sometimes I use Rotosound piano strings. The mass IS different on one of those

I'm almost certain there is an effect. However I'd also bet it's too small to detect. I used 3/4 of an inch of plastic wrapped wire to record 10 cents difference in pitch. It probably weighed 0.2g (I'll check next time I'm at work). The winding on those strings wouldn't be half that.

The other thing is, the closer to an end of the string the defect is the less it'll affect the vibration and the missing mass there is right on top of the bridge.

Is it possible that you may be creating a second harmonic with the wire on the string that is throwing the harmonic off with the tuner

I don't think so. The physics of strings suggests that the behaviour I observed is to be expected. I wasn't surprised at the results at all.

Im just asking as I really dont want to get in the middle of you and Waynes discussion here

That discussion's over. I'll only flog a dead horse so much. Reducing it to mush is distastful.



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Re: Is the 12th fret harmonic an independant...

7/1/2010 2:51 PM

WAYNE ELLIOTT (21617) wrote:

What Is Guitar Intonation?
Intonation is the accuracy in which a guitar or bass guitar can produce a fretted note. Setting the intonation is the act of adjusting the length of the strings (by moving the bridge saddles) to compensate for the stretching of a string due to pushing it down to the fret board to produce a note. To adjust the intonation of your guitar or bass, you move the bridge saddles toward or away from the fret board until the 12th fret octave and its harmonic are equal and the same open-string note is exactly one octave below those. Accurate intonation is critical to sound quality.
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However, I would need to move the saddle instead of just tuning the string


If you didn't move the saddle, Paul,
you didn't properly intonate ! :)

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Re: Is the 12th fret harmonic an independant...

6/30/2010 10:27 PM

Todd Ingram (16004) wrote:

one more thing to add. doesn't matter if the audience can't hear it, i can and it drives me crazy.



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Re: Is the 12th fret harmonic an independant...

7/1/2010 1:43 PM

Roger Gumbs (29626) wrote:

I'm sure it drives you crazy playing ACDC songs that sound like you're out of tune because they're tuning was off while recording certain songs!



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Re: Is the 12th fret harmonic an independant...

7/1/2010 1:49 PM

Todd Ingram (16004) wrote:

not now with the tascam bass trainer i just change the pitch.

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