Mine both have tuners but they insist on tuning to each other because you know, tuners are inaccurate. Unlike their ears? Not.
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Actually, I think we agree about the main point.Now I guess.
This is not how you tune a guitar with harmonics. You tune the first 4 strings, then the high E to the low E then the B based on the high E, using only 5th and 7th fret harmonics.
The ratio to use is not between open strings and harmonics, it is between harmonics themselves that are a straight 4th apart. Do your calculation again using a 1.5 ratio and you will reach goal frequencies, on a bass at least.
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Actually, I think we agree about the main point.
I also agree that as for actually tuning an instrument, this is probably minor compared to other factors like variability in the quality of tuners and how people use them. Heck, variability in how people press the frets probably accounts for much more variation in pitch than anything.
In the end, I think it's a useful part of musical history to understand why Tempered Tunings exist. I'm not sure it's critical that everyone gets it, however.
Peace
partly because there are people who like to poke fun at him, it doesn't mean much.I don't find him funny either, but he's gotten over 9 million hits on the Tube. Something about it obviously works.
Actually, I think we agree about the main point.
My example was really to illustrate why Just Intonation is a problem. No matter how you slice it, Just Intonation ends up with slight variations, and thus the need for some kind of tempered tuning to allow key changes. There are many ways to address this problem, and that's why there are so many different attempts over history to find a system for tempered tuning. All of them involve compromise. The only reason to point to a quality chromatic tuner as the target for pitch is that there is an convention of using Equal Temperament.
http://en.wikipedia.org/wiki/Musical_temperament
I am not sure if it's necessary for people to truly understand the need for tempered tuning, and the problem that it solves. But for those times that it does come up, in cases like this, it might be.
FWIW, I did use the ratio you suggested. 3:2 is 1.5. If you just use that to tune a 4 string bass, the variation from equal temperament will be small but present nonetheless. The pitches won't match the piano, for example.
I also agree that as for actually tuning an instrument, this is probably minor compared to other factors like variability in the quality of tuners and how people use them. Heck, variability in how people press the frets probably accounts for much more variation in pitch than anything.
In the end, I think it's a useful part of musical history to understand why Tempered Tunings exist. I'm not sure it's critical that everyone gets it, however.
Peace
INTP 5w4 LII.I agree, David. Back before electronic tuners, sure, people had to tune audibly, on stage.
But now? It just seems amateurish to me to do so.
Tuning is a part of playing music.
Don't you love the big racket before a concert when the orchestra tunes?
EEEK! Harmonics tuning!
Ever listened to old pop songs from the 60's and noticed the guitars getting flatter and flatter as they go up the fretboard? A result of "harmonic tuning."
Then again, the late Danny Gatton used to tune to the buzz of the fluorescent lights wherever he was playing... (Work it out as frequency; 60Hz hum is close to a B in pitch.)
One day I noticed that classical guitarists always used open strings when tuning, which caused me to rethink using harmonics, as I did for ages.
Agree, however, that a cheap/inaccurate tuner is even worse...
All in all, it's one more reason I love fretless- if the interval offends the ear, just squidge the requisite finger sharpie or flattus. If you play any fretted instrument, especially in high=gain situations, you'll eventually notice that many harmonics (especially the ones that squeal forth unexpectedly) are wildly "out of tune" with your fretted notes. In fact, many of us wind up sub- or un-consciously micro-bending strings to alleviate the micro-out-of-tunenesses which Equal Temp. requires.
And well ... classical musician do it all the time, but sure the setting is quite different from what you'll do on bass ...