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New to me. Passing on information obtained from violinschool.com entitled “Violin Tuners & Intonation.”
A typical electronic tuner has built in error (equal temperament) essential for pianos. Not so great for string instruments that rely on perfect fifths for proper resonance (the string bass utilizes perfect fourths). With the four strings of the violin tuned to equal temperament, the instrument will be in tune with the piano but it’s acoustic properties will be compromised. The sound will not ring with sympathetic vibrations.
Two suggested tuner hacks were offered for the violin (see below). If someone knows of something similar for the viola and cello, please speak up here since I could not find anything.
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.

Indeed --- fiddles are better tuned to "just" and not "equal" ( 12th root of two between semitones ) - "piano ET tuning" has always intrigued me... but of course, I get it...
I seriously recommend not copying my mistakes. D'oh -
Please make your own, different mistakes, and help us all learn :-)

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@BillyG . I got flustered trying to add the attachment to the above post, and you came in before I could complete. No harm done. I am sure that I could figure out the viola and cello tuner hack if I could look at the overtone frequency spectrum using something like audacity. Another thing to learn.
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.

LOL no prob @Irv - indeed
You say
With the four strings of the violin tuned to equal temperament, the instrument will be in tune with the piano but it’s acoustic properties will be compromised. The sound will not ring with sympathetic vibrations.
Absolutely agree, math and physics tell us so, even before our ears can sense it....
Don't really know what the answer is without delving into the math (which I'm not minded to do right now!) - but as I say - these things always intrigue me... I'll try to get some thinking time tomorrow morning - too late in the day here for that kind of thing
[ Slightly off your topic, but pertinent - there's an associated "thing" regarding why certain key signatures have (allegedly) a certain "feeling" - there is a lot of discussion about this in various forums, web sites and so on - I think a lot of this apparent "quality" of pieces in specific keys has a lot to do with ET tuning (and the harmonies and chords traditionally used). It's an interesting topic ( just v ET ) - here's one of the many discourses on perceived "feeling/quality" in various key sigs which I ASSUME are all based on ET - some of it surely is just pure invention - but - that's just cynical old me... https://www.wmich.edu/mus-theo/courses/keys.html ]
I seriously recommend not copying my mistakes. D'oh -
Please make your own, different mistakes, and help us all learn :-)

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Violists and cellists do this routinely, though usually by listening to the fifths instead of with an electronic tuner. We learn to tune to "tight fifths" which are essentially a compromise between equal temperament and perfect fifths. If we don't, the viola and cello C string will sound out of tune compared to a violin E string. The human ear can hear a difference of about 6 cents. Because the perfect fifth differs from the equal temperament fifth by about 2 cents, we can't really hear the difference within a single instrument, but it becomes apparent (at 8 cents difference) when we add the C string. When tuning "tight fifths" by ear, it still sounds a lot like a perfect fifth, but there's a certain qualitative difference in the sound.
Quantitatively, I can say that my C string is 3-4 cents flat on the electronic tuner instead of the 6 cents you would expect from tuning to perfect intervals. This means my "tight fifth" splits the difference between just intonation and equal temperament approximately in half, with slightly over 1 cent difference from equal temperament for each fifth. Whenever I'm not sure (for any reason from ambient noise to having a cold), I use a tuning app that shows cents and aim for 1 to 1.2 cents difference per string.

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@AndrewH and others. I am directing this thread more for the student willing to pay serious money for a good acoustic instrument or an experimentalist such as myself, than a practicing musician. I want to do everything I can to induce resonance and I was frankly shocked to learn that my reliance on electronic tuning was impeding the process.
As for advancing the hack forward to the viola and cello, I was pleased to learn that my Peterson Strobo Clip has a “Sweetener” perfect fifth mode for the viola and cello (as well as violin). So I should be able to tune with the Peterson, then hack using the Korg tuner to find a suitable frequency for “A.”
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.

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Kudos to all you guys for breaking into a sweat over 6 cents here or there. If I'm that close, I put down my instrument and do a ceremonial dance before continuing to play
I know, I know, that's not exactly what you said, and that's not exactly the points you were making
FYI, my violin teacher gently, LOL, suggested I download "TE Tuner" on my phone and actually use it on occasion! I just checked and it seems to have a toggle in the upper left corner for 14 different temperaments... all yours (and a metronome) for $3.99.


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@Irv, I was essentially trying to reverse-engineer the "tight fifths" from my perception to the electronic tuner. As I noted, there are situations where I can't hear the compromise interval clearly enough, and so I use the electronic tuner: the D string is tuned to D minus 1-1.2 cents, the G is tuned 1-1.2 cents farther flat than the D, and the C is tuned 1-1.2 cents farther flat than the G.
I notice that this tuning resonates quite a bit better than equal temperament -- in fact, for the first day or two after I change my strings, the sympathetic vibrations are so strong as to be irritating even though they're not tuned to pure intervals.

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I have just discovered that my Korg can tune Pythagorean, mean tone, Werckmeister III, Kimberger III, Kellner, Vallotti, and Young. I assume that I want Pythagorean. I also assume that what AndrewH was talking about was one of the remainder.
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.

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I retuned my violin and cello last night to perfect fifths using Pythagorean method.
I quickly found that the Peterson strobe was not going to work since it takes a long time to react and my bowing was not consistent enough to settle down the meter. I went on line to get a copy of the user guide for my Korg (which has been out of production for several years). It had me calibrate the meter’s indicating needle (easily done) and guided me through the many features of the tuner to the one I wanted.
It is quite unsettling to find that your violin g string setting under temperament is about a semitone sharp to the perfect fifth g. Deviations of the other strings were less, but still different (even the a string, which is a mystery to me).
Inter-string resonance was immediately heightened after tuning by perfect fifths. I was concerned about my intonation but adapted quickly and the notes sounded much more natural.
A side bar for those expressing a sense of loss regarding tuning methods. Temperament tuning was introduced during the days of Bach when keyboard instruments became popular. Slight errors were introduced so that various scales could be played that were pleasingly processed by the brain of the hearer. The physics of string instruments more naturally reside with perfect fifth tuning.
The bottom line is if you are electronically tuning with an inexpensive device (or were like me and had the feature available on your tuner but did not know how to access it), you are robbing your instrument of much of its available resonance and impeding you processing of natural intonation.
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.

Hmmmm - @Irv
It is quite unsettling to find that your violin g string setting under temperament is about a semitone sharp to the perfect fifth g. Deviations of the other strings were less, but still different (even the a string, which is a mystery to me).
My highlighting above..... Ummm, do you mean the A "deviated from being a full 5th apart" from the D ?
Thrust me - I'm just as confused.
But, I shouldn't be.
Because for perfect 5ths - well - don't they have to be relative to something ? Oh, I'm struggling with this - hang on - right - we need a reference - the reference should be ( well, it can be anything you want, really ) - I'll start again.
Let's say you want A440 on the open A and the entire instrument to be tuned in 5ths against that string (rather than A-something else - which is fair enough - lots of folks do) - then that A is the reference.... it "shouldn't be out" - surely ? It "must" be right because that's how you want the overall instrument tuned - and all other strings get set against that (the reference) - the D to A interval - a P5, the G to D interval a P5 and make the A to E interval a P5
I feel I've missed/failed to pick-up-on something in your post...
Inter-string resonance was immediately heightened after tuning by perfect fifths. I was concerned about my intonation but adapted quickly and the notes sounded much more natural.
Precisely ! Excellent ! The instrument comes alive, doesn't it ?
You can perhaps ignore my earlier ramblings above - I may well have missed something, or misunderstood what was going on.... but I was intrigued...
Was gonna say - @Irv you will be well aware already - but for the benefit of others - even for a "minor" re-tuning of your instrument (to perfect 5ths or even to your digital tuner's ET scale) - start with your A440 (or Axxx if that's your need) - and tune the other strings against it. With new (or newly installed old strings) - you will have to re-do this possibly 3 or 4 times as the other strings, being brought up to tune, change the overall tension across the body of the instrument and everything drifts away from what you thought it was.... So - even for a "minor" adjustment on an already strung instrument - ALWAYS go back to your reference A string to make sure it (and the other strings) haven't drifted by the tension change caused by the adjustments to the other strings...
EDIT: I have good relative-pitch (by ear) - but so called perfect-pitch eludes me (and I'm not sure I actually know what perfect-pitch means.... LOL). In reference to the above about tuning the instrument - it is quite easy ( I've done it quite un-intentionally on guitar more times than I care to remember ) to have the whole instrument "in tune with itself (by ear - no tuner involved - and strangely enough - usually flat from A440)" but be out of tune relative to other instruments, which are "properly" tuned to A440. Interestingly, some folks, especially when soloing on fiddle tunes, are more than happy to tune their A down a good bit (oh, and of course the rest of the instrument) - loosens the strings, gives a less strident tonal quality (I guess that's why). It's all relative I guess, until you need to play along with another player...
I seriously recommend not copying my mistakes. D'oh -
Please make your own, different mistakes, and help us all learn :-)

Regulars

@BillyG . You are likely right on the observation that my retuning one string caused a tone deviation in others. I thought that the a string would be unaffected by switching to tuning to perfect fifths, since the electronics were calibrated to a=440 herz. I had assumed (which is generally dangerous) that the given a=440 herz was from a different octave than the one I was using. Looking back, the effect was likely caused by string tension change by loosening the g string.
The standard of using a=440 herz was instituted circa 1940 and some instruments benefit in tone from using a lower number. It quiets them down as well. This tip is only useful if you do not play with others.
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.


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I hacked the cello for cid on another thread. I thought that I would post it here as well.
c (a=438 herz), g (a=439), d (a=439), a (a=440).
If you want to diminish sound output and/or wish to lessen finger strain on your left hand, tell me what you want for the a string herz and I will hack for that frequency.
Success is the progressive realisation of a worthy ideal. —Earl Nightingale.
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