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.
> > >
> >
> >
> >
>

Interesting. The applicant must have more money than common sense to
invest in such a patent.

Any "expensive" attempt to enforce his patent is very likely to be
rebutted by a claim of prior known art, use and common knowledge.

I have seen and have even played at least a dozen fretted instruments
with "slanted" frets based on various wild and wonderful theories.

This patent looks to me as though it will be very easy to break or
circumvent.

As some older Americans might say:

"Nice try; but no cigar!"

Are we getting back to counting angels on pinheads again? ;-)

Charles Lucy lucy@lucytune.com

----- Promoting global harmony through LucyTuning -----

For information on LucyTuning go to: http://www.lucytune.com

LucyTuned Lullabies (from around the world):
http://www.lullabies.co.uk

Skype user = lucytune

http://www.myspace.com/lucytuning

On 7 Jul 2007, at 04:55, Mohajeri Shahin wrote:

>
> Hi All
>
> After searching in Google patent , I found this which talks about
> how to compensate:
>
>
> http://www.google.com/patents?vid=USPAT6069306
>
>
> Shaahin Mohajeri
>
> Tombak Player & Researcher , Microtonal Composer
>
> My web siteوب سايت شاهين مهاجري
>
> My farsi page in Harmonytalk صفحه اختصاصي در
> هارموني تاك
>
> Shaahin Mohajeri in Wikipedia شاهين مهاجري
> دردائره المعارف ويكي پديا
>
>
>
> 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, 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
> >
> > LucyTuned Lullabies (from around the world):
> > http://www.lullabies.co.uk
> >
> > Skype user = lucytune
> >
> > 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, "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>
> > > > 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, "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.
> > > >
> > >
> > >
> > >
> >
>
>
>
>

"Anything" can be patented nowadays. Why, next they will invent a method to tune piano strings to unison!

Oz.
----- Original Message -----
From: Charles Lucy
To: tuning@yahoogroups.com
Sent: 07 Temmuz 2007 Cumartesi 7:21
Subject: Re: [tuning] Compensation calculation: Fret calculation - Fret positioning in the real world.

Interesting. The applicant must have more money than common sense to invest in such a patent.

Any "expensive" attempt to enforce his patent is very likely to be rebutted by a claim of prior known art, use and common knowledge.

I have seen and have even played at least a dozen fretted instruments with "slanted" frets based on various wild and wonderful theories.

This patent looks to me as though it will be very easy to break or circumvent.

As some older Americans might say:

"Nice try; but no cigar!"

Are we getting back to counting angels on pinheads again? ;-)

Charles Lucy lucy@lucytune.com

----- Promoting global harmony through LucyTuning -----

For information on LucyTuning go to:Â http://www.lucytune.com

LucyTuned Lullabies (from around the world):
http://www.lullabies.co.uk

Skype user = lucytune

http://www.myspace.com/lucytuning

On 7 Jul 2007, at 04:55, Mohajeri Shahin wrote:

Hi All
Â
After searching in Google patent , IÂ found this which talks about how to compensate:
Â
Â
http://www.google.com/patents?vid=USPAT6069306
Â
Â
Shaahin Mohajeri

Tombak Player & Researcher , Microtonal Composer

My web siteوب سايت شاهين مهاجريÂ

My farsi page in Harmonytalk   صÙ�حه اختصاصي در هارموني تاكÂ

Shaahin Mohajeri in Wikipedia  شاهين مهاجري دردائره المعار� ويكي پديا

Â

----------------------------------------------------------------------------
From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Cris Forster
Sent:Â Saturday, July 07, 2007 3:06 AM
To:Â tuning@yahoogroups.com
Subject:Â [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 gentlyÂ
> touching each string near the octave fret,

--- In tuning@yahoogroups.com, Charles Lucy <lucy@...> wrote:
>
> The first guitars that I calculated fretting for were electricÂ
> guitars with adjustable bridges.
>Â
> The difficulty is to decide exactly what the nut to bridgeÂ
distanceÂ
> should be counted as.
>Â
> The way I handled this was to take the distance from the centreÂ
ofÂ
> the travel of the adjustable bridge to the nut.
>Â
> I used the resulting value to calculate the fret positions usingÂ
theÂ
> old length(1)/freq(1) and freq(2)length(2) formula, to find theÂ
fretÂ
> to bridge distances for each fret.
>Â
> When marked, cut and installed by a competent luthier by measuringÂ
toÂ
> the distances that I had specified from the nut,
>Â
> all I had to do was to adjust the bridge position for eachÂ
individualÂ
> string.
>Â
> I adjust the bridge position so that the pitch sounded by gentlyÂ
> touching each string near the octave fret,
>Â
> sound the same pitch as I get by playing (as cleanly as possible)Â
byÂ
> depressing the string at the octave fret.
>Â
> This is the usual way that luthiers and guitarists "set theirÂ
> intonation", for once you have got the octave pitches right, allÂ
theÂ
> other frets
>Â
> (assuming your calculations and fretwork has been done correctly)Â
> should work proportionally.
>Â
> This is a very pragmatic way of doing things, and for me itÂ
passesÂ
> the ultimate test; i.e. it works!
>Â
> I, too, had played around, in vain, with the idea of stringÂ
tensions,Â
> string weight, height from fretboard, etc. etc. yet when it comesÂ
> down to physical reality, I have yet to find a better method than
>Â
> this pragmatic and obvious way of doing things.
>Â
> There are just too many imponderable factors and variables toÂ
> consider using a more mathematically complex solution.
>Â
>Â
> Charles Lucy lucy@...
>Â
> ----- Promoting global harmony through LucyTuning -----
>Â
> For information on LucyTuning go to:Â http://www.lucytune.com
>Â
> LucyTuned Lullabies (from around the world):
>Â http://www.lullabies.co.uk
>Â
> Skype user = lucytune
>Â
>Â http://www.myspace.com/lucytuning
>Â
>Â
> On 6 Jul 2007, at 23:43, Cris Forster wrote:
>Â
> > A formula would assume that thin strings and thick stringsÂ
respond
> > identically to a secondary vertical (down-bearing) force, orÂ
respond
> > identically to "the distance the string goes down."
> >
> > A formula would assume that pressing down on a string in theÂ
center
> > of its length has the same effect, or poses the same resistancesÂ
as
> > pressing down a string near the nut or near the bridge.
> >
> > --- In tuning@yahoogroups.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>
> > > Sent: 06 Temmuz 2007 Cuma 23:25
> > > Subject: [tuning] Re: Fret calculation
> > >
> > >
> > > The classic frequency equation for strings states thatÂ
frequency is
> > > directly proportional to the square root of tension, andÂ
inversely
> > > proportional to length.
> > >
> > > If you push down (or up) on a string and the frequencyÂ
increases,
> > > then elongation of the string is not a factor because as theÂ
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, isÂ
the
> > > critical determining factor with respect "bending" theÂ
frequency of
> > > a string, or increasing the frequency of a string.
> > >
> > > Since the height of the strings above the frets variesÂ
considerable
> > > on a given instrument, and among different instruments of theÂ
same
> > > kind -- among guitars, tunburs, etc. -- a practical equationÂ
that
> > > accounts for these increases in tension is not feasible.
> > >
> > > Cris Forster
> > >
> > >
> > >
> > >
> > > --- In tuning@yahoogroups.com, "Ozan Yarman" <ozanyarman@>Â
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.
> > >
> >
> >
> >
>

Hi
Don't think about patent , i sent it for its compensation formula and theory which ozan wanted.(-;

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 Ozan Yarman
Sent: Saturday, July 07, 2007 4:29 PM
To: tuning@yahoogroups.com
Subject: Re: [tuning] Compensation calculation: Fret calculation - Fret positioning in the real world.

"Anything" can be patented nowadays. Why, next they will invent a method to tune piano strings to unison!

Oz.

----- Original Message -----
From: Charles Lucy <mailto:lucy@harmonics.com>
To: tuning@yahoogroups.com <mailto:tuning@yahoogroups.com>
Sent: 07 Temmuz 2007 Cumartesi 7:21
Subject: Re: [tuning] Compensation calculation: Fret calculation - Fret positioning in the real world.

Interesting. The applicant must have more money than common sense to invest in such a patent.

Any "expensive" attempt to enforce his patent is very likely to be rebutted by a claim of prior known art, use and common knowledge.

I have seen and have even played at least a dozen fretted instruments with "slanted" frets based on various wild and wonderful theories.

This patent looks to me as though it will be very easy to break or circumvent.

As some older Americans might say:

"Nice try; but no cigar!"

Are we getting back to counting angels on pinheads again? ;-)

Charles Lucy lucy@lucytune.com <mailto:lucy@lucytune.com>

----- Promoting global harmony through LucyTuning -----

For information on LucyTuning go to:Â 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 7 Jul 2007, at 04:55, Mohajeri Shahin wrote:

Hi All
Â
After searching in Google patent , IÂ found this which talks about how to compensate:
Â
Â
http://www.google.com/patents?vid=USPAT6069306 <http://www.google.com/patents?vid=USPAT6069306> <http://www.google.com/patents?vid=USPAT7179975>

Â
Â

Shaahin Mohajeri

Tombak Player & Researcher , Microtonal Composer

My web siteوب سايت شاهين مهاجري <http://240edo.googlepages.com/>

My farsi page in Harmonytalk   ص�حه اختصاصي در هارموني تاك <http://www.harmonytalk.com/mohajeri>

Shaahin Mohajeri in Wikipedia  شاهين مهاجري دردائره المعار� ويكي پديا <http://en.wikipedia.org/wiki/Shaahin_mohajeri>

Â

________________________________

From: tuning@yahoogroups.com [mailto:tuning@yahoogroups.com] On Behalf Of Cris Forster
Sent:Â Saturday, July 07, 2007 3:06 AM
To:Â tuning@yahoogroups.com
Subject:Â [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 gentlyÂ
> 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 electricÂ
> guitars with adjustable bridges.
>Â
> The difficulty is to decide exactly what the nut to bridgeÂ
distanceÂ
> should be counted as.
>Â
> The way I handled this was to take the distance from the centreÂ
ofÂ
> the travel of the adjustable bridge to the nut.
>Â
> I used the resulting value to calculate the fret positions usingÂ
theÂ
> old length(1)/freq(1) and freq(2)length(2) formula, to find theÂ
fretÂ
> to bridge distances for each fret.
>Â
> When marked, cut and installed by a competent luthier by measuringÂ
toÂ
> the distances that I had specified from the nut,
>Â
> all I had to do was to adjust the bridge position for eachÂ
individualÂ
> string.
>Â
> I adjust the bridge position so that the pitch sounded by gentlyÂ
> touching each string near the octave fret,
>Â
> sound the same pitch as I get by playing (as cleanly as possible)Â
byÂ
> depressing the string at the octave fret.
>Â
> This is the usual way that luthiers and guitarists "set theirÂ
> intonation", for once you have got the octave pitches right, allÂ
theÂ
> other frets
>Â
> (assuming your calculations and fretwork has been done correctly)Â
> should work proportionally.
>Â
> This is a very pragmatic way of doing things, and for me itÂ
passesÂ
> the ultimate test; i.e. it works!
>Â
> I, too, had played around, in vain, with the idea of stringÂ
tensions,Â
> string weight, height from fretboard, etc. etc. yet when it comesÂ
> down to physical reality, I have yet to find a better method than
>Â
> this pragmatic and obvious way of doing things.
>Â
> There are just too many imponderable factors and variables toÂ
> consider using a more mathematically complex solution.
>Â
>Â
> Charles Lucy lucy@...
>Â
> ----- Promoting global harmony through LucyTuning -----
>Â
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>Â
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>Â
>Â
> On 6 Jul 2007, at 23:43, Cris Forster wrote:
>Â
> > A formula would assume that thin strings and thick stringsÂ
respond
> > identically to a secondary vertical (down-bearing) force, orÂ
respond
> > identically to "the distance the string goes down."
> >
> > A formula would assume that pressing down on a string in theÂ
center
> > of its length has the same effect, or poses the same resistancesÂ
as
> > pressing down a string near the nut or near the bridge.
> >
> > --- In tuning@yahoogroups. <mailto:tuning%40yahoogroups.com> 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. <mailto:tuning%40yahoogroups.com> com <mailto:tuning%40yahoogroups.com> >
> > > Sent: 06 Temmuz 2007 Cuma 23:25
> > > Subject: [tuning] Re: Fret calculation
> > >
> > >
> > > The classic frequency equation for strings states thatÂ
frequency is
> > > directly proportional to the square root of tension, andÂ
inversely
> > > proportional to length.
> > >
> > > If you push down (or up) on a string and the frequencyÂ
increases,
> > > then elongation of the string is not a factor because as theÂ
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, isÂ
the
> > > critical determining factor with respect "bending" theÂ
frequency of
> > > a string, or increasing the frequency of a string.
> > >
> > > Since the height of the strings above the frets variesÂ
considerable
> > > on a given instrument, and among different instruments of theÂ
same
> > > kind -- among guitars, tunburs, etc. -- a practical equationÂ
that
> > > accounts for these increases in tension is not feasible.
> > >
> > > Cris Forster
> > >
> > >
> > >
> > >
> > > --- In tuning@yahoogroups. <mailto:tuning%40yahoogroups.com> com <mailto:tuning%40yahoogroups.com> , "Ozan Yarman" <ozanyarman@>Â
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.
> > >
> >
> >
> >
>

I missed the formula part brother, where is it?

Oz.
----- Original Message -----
From: Mohajeri Shahin
To: tuning@yahoogroups.com
Sent: 08 Temmuz 2007 Pazar 8:18
Subject: RE: [tuning] Compensation calculation: Fret calculation - Fret positioning in the real world.

Hi
Don't think about patent , i sent it for its compensation formula and theory which ozan wanted.(-;

Shaahin Mohajeri

Tombak Player & Researcher , Microtonal Composer

My web site?? ???? ????? ??????

My farsi page in Harmonytalk ???? ??????? ?? ??????? ???

Shaahin Mohajeri in Wikipedia ????? ?????? ??????? ??????? ???? ????

go to the link , download PDF file and see the pages to find compensation.

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 Ozan Yarman
Sent: Sunday, July 08, 2007 2:12 PM
To: tuning@yahoogroups.com
Subject: Re: [tuning] Compensation calculation: Fret calculation - Fret positioning in the real world.

I missed the formula part brother, where is it?

Oz.

----- Original Message -----
From: Mohajeri Shahin <mailto:shahinm@kayson-ir.com>
To: tuning@yahoogroups.com <mailto:tuning@yahoogroups.com>
Sent: 08 Temmuz 2007 Pazar 8:18
Subject: RE: [tuning] Compensation calculation: Fret calculation - Fret positioning in the real world.

Hi
Don't think about patent , i sent it for its compensation formula and theory which ozan wanted.(-;

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>