Re: Buzz Feiten Tuning System
Intonation tempering - the skinny.
Read any of the "how to" books and you'll probably see the same procedure outlined or setting the intonation on the guitar.
This age-old and traditional technique involves using the 12th fret harmonic as a comparison for the fretted note at the 12th fret.
I don't see any reason to patronise the readership by assuming that they don't understand the basics of this procedure, but I'll summarize in a nutshell for the sake of clarity.
When fretting a note, the string is pushed down to the fret and the small gap between the string and fret results in stretching of the string. This stretching increases the tension on the string which puts the pitch up slightly and to compensate we back the sadle off a little way to lengthen the string and drop the pitch.
This offset is a fixed value for each string and, as such, it represents a logarithmically increasing percentage lengthening of the vibrating portion of the string;pretty obvious you might say, as at the first fret the theoretical sounding length of the string is about 605mm while at the 12th fret it's about 325mm so a 5mm offset is a percentage lengthening of 1% at the first fret, 2% at the 12th etc...
With a dead straight neck, this is fine as the gap between the string and frets widens continuously as you progress up the neck so the amount of compensation the string receives increases more or less proportionately.
However modern guitars use the truss rod to allow us to set a shallow curve in the neck to allow room for the vibrating strings excursion arc. By allowing the plane of the fingerboard to curve around the string's arc we can achieve a more comfortable action height in the higher reaches of the fingerboard.
The effect this has on intonation is dramatic, because the gap between string and frets no longer increases at a linear rate. As we move up the fretboard, the aspect angle presented to the strings by the fret plane starts out steep, but gradually becomes more shallow until from about the 12th fret on it is virtually parallel to the string. the gap between the string and fret no longer increases significantly between the 12th fret and the 21st, but the offset still represents an increasing percentage lengthening of the string.
The inevitable conclusion is that the string is being overcompensated if the string is intonated at the 12th fret and, indeed, if we listen closely we can hear that this is the case as the pitch accuracy becomes flatter fro the higher frets.
So, in order for the guitar to sound in tune above the 12th, we need to make some adjustments.
For the same reason that the string is being overcompensated at the higher frets, small changes in the value of the saddle offset have an increased effect on the pitch accuracy of the higher frets than on the lower ones, which gives us a little room for manoeuvre. By bringing the saddle forward slightly we can improve the pitch accuracy of the higher frets at the slight expense of the lower ones but, done carefully, the changes in the pitch accuracy around the 10th - 12th frets can be so small that they are not noticeable.
The process by which this is done is analogous to piano tuning in that it can only adequately be done by ear, by someone with the skill and understanding to achieve the required accuracy.
It may be that the Feiten system's intonation offsets are achieving a similar end however the tempering process, because it is done entirely empirically is adaptive; i.e. it will follw the differing requirements of slight variations in action height and arc relief that are required for different guitars and different players. The is no single rule for all circumstances, just a set procedure and governing principle. It also has the advantage, because it is empirical, of offering a measure of practical compensation for inharmonicity as well.
Now enjoy the hell out of this and ask yourself if you really give a toss whether this guy's Taylor has a compensated nut or not. (it does)
http://www.youtube.com/user/maneli#play/uploads/1/17y5Qtaix-w