Something alluded to but maybe has been mistakenly in a previous post is that fact that NO fretted instrument can be perfectly in tune right across the fretboard up and down as the frets have to obey the laws of,"Even Temperament".
This is easily demonstrable.
Set the intonation for the gauge of strings being used.Tune the guitar as accurately as you would.Now play an Full G chord and then play the barre version at the 3rd fret.You should notice they are slightly off with each other.
The frets being rigid cannot adjust for the difference in thickness and therefore tension of the strings at the different points on different strings unlike say a Violinist who,through training,will naturally flatten and sharpen the same notes depending on what string they are played on.
This it only slight in most cases and we as humans have basically ignored it and got used to it in Pop/Rock music.
My 10 penn'th.
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