Yahoo Tuning Groups Ultimate Backup tuning Estimating the effects of string diameter variability on string frequency response

http://www.ukuleles.com/Technology/stringdiam.html

Shaahin Mohajeri

Tombak Player & Researcher , Microtonal Composer

My web site?? ???? ????? ?????? <http://240edo.googlepages.com/>

My farsi page in Harmonytalk ???? ??????? ?? ??????? ??? <http://www.harmonytalk.com/mohajeri>

Shaahin Mohajeri in Wikipedia ????? ?????? ??????? ??????? ???? ???? <http://en.wikipedia.org/wiki/Shaahin_mohajeri>

________________________________

From: Mohajeri Shahin
Sent: Saturday, July 07, 2007 7:26 AM
To: 'tuning@yahoogroups.com'
Subject: Compensation calculation: Fret calculation - Fret positioning in the real world.

Hi All

After searching in Google patent , I found this which talks about how to compensate:

http://www.google.com/patents?vid=USPAT6069306 <http://www.google.com/patents?vid=USPAT7179975>

Shaahin Mohajeri

Tombak Player & Researcher , Microtonal Composer

My web site?? ???? ????? ?????? <http://240edo.googlepages.com/>

My farsi page in Harmonytalk ???? ??????? ?? ??????? ??? <http://www.harmonytalk.com/mohajeri>

Shaahin Mohajeri in Wikipedia ????? ?????? ??????? ??????? ???? ???? <http://en.wikipedia.org/wiki/Shaahin_mohajeri>

________________________________

From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Cris Forster
Sent: Saturday, July 07, 2007 3:06 AM
To: tuning@yahoogroups.com
Subject: [tuning] Re: Fret calculation - Fret positioning in the real world.

Absolutely, this minimizes the down-bearing force,
and gives empirical data for making sensitive
adjustments. Isn't imperfection wonderful?!

> I adjust the bridge position so that the pitch sounded by gently
> touching each string near the octave fret,

--- In tuning@yahoogroups.com <mailto:tuning%40yahoogroups.com> , Charles Lucy <lucy@...> wrote:
>
> The first guitars that I calculated fretting for were electric
> guitars with adjustable bridges.
>
> The difficulty is to decide exactly what the nut to bridge
distance
> should be counted as.
>
> The way I handled this was to take the distance from the centre
of
> the travel of the adjustable bridge to the nut.
>
> I used the resulting value to calculate the fret positions using
the
> old length(1)/freq(1) and freq(2)length(2) formula, to find the
fret
> to bridge distances for each fret.
>
> When marked, cut and installed by a competent luthier by measuring
to
> the distances that I had specified from the nut,
>
> all I had to do was to adjust the bridge position for each
individual
> string.
>
> I adjust the bridge position so that the pitch sounded by gently
> touching each string near the octave fret,
>
> sound the same pitch as I get by playing (as cleanly as possible)
by
> depressing the string at the octave fret.
>
> This is the usual way that luthiers and guitarists "set their
> intonation", for once you have got the octave pitches right, all
the
> other frets
>
> (assuming your calculations and fretwork has been done correctly)
> should work proportionally.
>
> This is a very pragmatic way of doing things, and for me it
passes
> the ultimate test; i.e. it works!
>
> I, too, had played around, in vain, with the idea of string
tensions,
> string weight, height from fretboard, etc. etc. yet when it comes
> down to physical reality, I have yet to find a better method than
>
> this pragmatic and obvious way of doing things.
>
> There are just too many imponderable factors and variables to
> consider using a more mathematically complex solution.
>
>
> Charles Lucy lucy@...
>
> ----- Promoting global harmony through LucyTuning -----
>
> For information on LucyTuning go to: http://www.lucytune.com <http://www.lucytune.com>
>
> LucyTuned Lullabies (from around the world):
> http://www.lullabies.co.uk <http://www.lullabies.co.uk>
>
> Skype user = lucytune
>
> http://www.myspace.com/lucytuning <http://www.myspace.com/lucytuning>
>
>
> On 6 Jul 2007, at 23:43, Cris Forster wrote:
>
> > A formula would assume that thin strings and thick strings
respond
> > identically to a secondary vertical (down-bearing) force, or
respond
> > identically to "the distance the string goes down."
> >
> > A formula would assume that pressing down on a string in the
center
> > of its length has the same effect, or poses the same resistances
as
> > pressing down a string near the nut or near the bridge.
> >
> > --- In tuning@yahoogroups.com <mailto:tuning%40yahoogroups.com> , "Ozan Yarman" <ozanyarman@> wrote:
> > >
> > > But we already know all that... what we need is a compensator
> > equation given
> > > the distance the string goes down. If the inclination of the
> > string in
> > > regards to the fretboard changes, that should be part of the
> > formula.
> > >
> > > Oz.
> > >
> > > ----- Original Message -----
> > > From: "Cris Forster" <cris.forster@>
> > > To: <tuning@yahoogroups.com <mailto:tuning%40yahoogroups.com> >
> > > Sent: 06 Temmuz 2007 Cuma 23:25
> > > Subject: [tuning] Re: Fret calculation
> > >
> > >
> > > The classic frequency equation for strings states that
frequency is
> > > directly proportional to the square root of tension, and
inversely
> > > proportional to length.
> > >
> > > If you push down (or up) on a string and the frequency
increases,
> > > then elongation of the string is not a factor because as the
string
> > > length increases, the string frequency decreases.
> > >
> > > However, if you push down (or up) on a string and the frequency
> > > increases, then tension is a factor because as the tension
> > > increases, the frequency increases as well.
> > >
> > > The "action" of strings, or their height above the frets, is
the
> > > critical determining factor with respect "bending" the
frequency of
> > > a string, or increasing the frequency of a string.
> > >
> > > Since the height of the strings above the frets varies
considerable
> > > on a given instrument, and among different instruments of the
same
> > > kind -- among guitars, tunburs, etc. -- a practical equation
that
> > > accounts for these increases in tension is not feasible.
> > >
> > > Cris Forster
> > >
> > >
> > >
> > >
> > > --- In tuning@yahoogroups.com <mailto:tuning%40yahoogroups.com> , "Ozan Yarman" <ozanyarman@>
wrote:
> > > >
> > > > I was thinking more in terms of Pythagoras' theorem. When you
> > push
> > > the string down, you stretch the vibrating part according to a
> > > formula. I want to know the formula. Maybe Manuel can help?
> > > >
> > > > Oz.
> > >
> >
> >
> >
>

Estimating the effects of string diameter variability on string frequency response

🔗Mohajeri Shahin <shahinm@kayson-ir.com>

🔗Ozan Yarman <ozanyarman@ozanyarman.com>