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#8237 From: Marion Ceruti <canzone268@...>
Date: Tue Nov 17, 2009 4:08 am
Subject: Re: Welcome To The Club
canzone268
Offline Offline
Send Email Send Email
 
Hi Stephen,

The harp guitar site has many wonderful-looking instruments. Thank you for posting it.

Would you then call it a theorboed guitar-lute?

How would you describe the sound? more like a lute? a guitar? something different?

Congratulations on the acquisition. It looks like lots of fun.

Best regards,
Marion


From: Stephen Bright <stephen@...>
To: 10string@yahoogroups.com
Sent: Mon, November 16, 2009 8:47:56 AM
Subject: Re: [10string] Welcome To The Club

 

Hi Marion:


It is not a harp guitar because Greg Minor says it isn't:


It did come with a hard case. Inside the case compartment is an extensive set list of songs in English, German and French, so it was used by a pro player.

I got it from Early Musical Instruments. com, where I used to work when they were in Basel, Switzerland. The guitar/lute walked in the door from across the street from the shop, where a neighbor had it unused in the family for decades. This probably has not been played in 50 years.

I'll tune it in Romantic, Dm or Theorbo  tuning. I may try all three and see what sounds the best. I'm very excited about it.

Scale trebles = 615
Scale basses = 680

Stephen
____________ _________ _________ ___

Stephen Bright, Classical Harp Guitar
____________ _________ _________ ___




On Nov 16, 2009, at 10:38 AM, Marion Ceruti wrote:


Hello Stephen,

Many traditional lutenists would call it a guitar. Many traditional guitarists would call it a lute.
I call it beautiful! You were fortunate to find one so old in such good condition.
Many guitar lutes have many flaws.

How are you tuning it?
Why is it not a harp guitar?
Did it come with a hard case or are you having one custom made?

Cheers,
Marion


From: Stephen Bright <stephen@cathedralgu itar.com>
To: 10string@yahoogroup s.com
Sent: Sun, November 15, 2009 6:49:32 PM
Subject: [10string] Welcome To The Club

 

Hello all:


I have just joined the club that very few people dare to join, the guitar/lute club:

My friend has had this instrument for for several decades, and it has just now come to me. It is a professional instrument of the highest quality by Heinrich Fuchs, Munich, Germany, 1923. Spruce/Brazilian:


The funny thing about this instrument is:

It is not a harp guitar
It is not a guitar
It is not a lute

It is probably the most frowned-upon genre of multi sting that I know of, which is why I love it so.

Does anybody else here have one, or am I in a club of 1?
Stephen

PS my friend says this instrument is much better than the Hauser guitar lutes that sell for $5k asking price.
____________ _________ _________ ___

Stephen Bright, Classical Harp Guitar/Lute
____________ _________ _________ ___





#8236 From: "claudiatwins2003" <claudiatait@...>
Date: Mon Nov 16, 2009 7:01 pm
Subject: Re: 10 string 5 pair Brazilian "viola"
claudiatwins...
Offline Offline
Send Email Send Email
 
Another great player and song.

Player Almir Sater

song Corumba

http://www.youtube.com/watch?v=ShzQiuya5c0

--- In 10string@yahoogroups.com, "claudiatwins2003" <claudiatait@...> wrote:
>
> Here's some of my favorite players, Angelim
>
> http://www.youtube.com/watch?v=yK00GKQGJEk
>
> http://www.youtube.com/watch?v=ZVtHcftRlbE
>
> These are tutorial videos so he plays very slow.
>
> Another one who won a prize and one of my fav players, Sidnei Oliveira
>
> http://www.youtube.com/watch?v=-ow7y4EYlmU
>
> and a more popular player/singer is Almir Sater
>
> http://www.youtube.com/watch?v=6gMhUlg1WIk
>
> Enjoy! I have tons more to share if u want....lemme know. Viola is sometimes
about playing together, around the fire, at dusk.....or playing alone and
expressing feelings. I love it.
>
> Claudia
>
>
>
> --- In 10string@yahoogroups.com, Claudia Aquino-Tait <claudiatait@> wrote:
> >
> > Hi Marion and everyone,
> >
> > This is some info in English on Wikipedia:
> >
> > http://en.wikipedia.org/wiki/Viola_caipira
> >
> > And here is a site where you can hear the tunings, click on the green tab
> > (string)
> >
> > http://www.brazdaviola.com.br
> >
> > One of my favorite luthiers:
> >
> > http://lucianoqueiroz.com/photos.htm
> >
> > Take care....
> >
> > C.
> >
> > On Mon, Nov 16, 2009 at 11:30 AM, Marion Ceruti <canzone268@>wrote:
> >
> > >
> > >
> > > Hello Claudia,
> > >
> > > It looks like a very nice instrument. How do you tune it?
> > >
> > > It resembles other instruments that I have seen:
> > >
> > > 1. Baroque guitar
> > > 2. Puerto Rican cuatro, tuned in 4ths.
> > > 3/ 12-string (six course) guitar
> > >
> > > Where do you find music for it?
> > >
> > > Thanks for sharing the photos.
> > >
> > > Marion
> > >
> > >
> > > ------------------------------
> > > *From:* claudiatwins2003 <claudiatait@>
> > > *To:* 10string@yahoogroups.com
> > > *Sent:* Sun, November 15, 2009 1:35:21 PM
> > > *Subject:* [10string] 10 string 5 pair Brazilian "viola"
> > >
> > >
> > >
> > > Hello all,
> > >
> > > I am trying to learn (by myself) this incredible instrument through online
> > > tutorials, videos, etc.
> > >
> > > Any info on instructors in the Toronto area would be fantastic.
> > >
> > > Cheers
> > >
> > > Claudia
> > > http://violeirosdob rasil.ning. com/profile/
Claudia<http://violeirosdobrasil.ning.com/profile/Claudia>
> > >
> > >
> > >
> > >
> >
>

#8235 From: "claudiatwins2003" <claudiatait@...>
Date: Mon Nov 16, 2009 6:51 pm
Subject: Re: 10 string 5 pair Brazilian "viola"
claudiatwins...
Offline Offline
Send Email Send Email
 
Here's some of my favorite players, Angelim

http://www.youtube.com/watch?v=yK00GKQGJEk

http://www.youtube.com/watch?v=ZVtHcftRlbE

These are tutorial videos so he plays very slow.

Another one who won a prize and one of my fav players, Sidnei Oliveira

http://www.youtube.com/watch?v=-ow7y4EYlmU

and a more popular player/singer is Almir Sater

http://www.youtube.com/watch?v=6gMhUlg1WIk

Enjoy! I have tons more to share if u want....lemme know. Viola is sometimes
about playing together, around the fire, at dusk.....or playing alone and
expressing feelings. I love it.

Claudia



--- In 10string@yahoogroups.com, Claudia Aquino-Tait <claudiatait@...> wrote:
>
> Hi Marion and everyone,
>
> This is some info in English on Wikipedia:
>
> http://en.wikipedia.org/wiki/Viola_caipira
>
> And here is a site where you can hear the tunings, click on the green tab
> (string)
>
> http://www.brazdaviola.com.br
>
> One of my favorite luthiers:
>
> http://lucianoqueiroz.com/photos.htm
>
> Take care....
>
> C.
>
> On Mon, Nov 16, 2009 at 11:30 AM, Marion Ceruti <canzone268@...>wrote:
>
> >
> >
> > Hello Claudia,
> >
> > It looks like a very nice instrument. How do you tune it?
> >
> > It resembles other instruments that I have seen:
> >
> > 1. Baroque guitar
> > 2. Puerto Rican cuatro, tuned in 4ths.
> > 3/ 12-string (six course) guitar
> >
> > Where do you find music for it?
> >
> > Thanks for sharing the photos.
> >
> > Marion
> >
> >
> > ------------------------------
> > *From:* claudiatwins2003 <claudiatait@...>
> > *To:* 10string@yahoogroups.com
> > *Sent:* Sun, November 15, 2009 1:35:21 PM
> > *Subject:* [10string] 10 string 5 pair Brazilian "viola"
> >
> >
> >
> > Hello all,
> >
> > I am trying to learn (by myself) this incredible instrument through online
> > tutorials, videos, etc.
> >
> > Any info on instructors in the Toronto area would be fantastic.
> >
> > Cheers
> >
> > Claudia
> > http://violeirosdob rasil.ning. com/profile/
Claudia<http://violeirosdobrasil.ning.com/profile/Claudia>
> >
> >
> >
> >
>

#8234 From: Claudia Aquino-Tait <claudiatait@...>
Date: Mon Nov 16, 2009 6:37 pm
Subject: Re: 10 string 5 pair Brazilian "viola"
claudiatwins...
Offline Offline
Send Email Send Email
 
Hi Marion and everyone,

This is some info in English on Wikipedia:

http://en.wikipedia.org/wiki/Viola_caipira

And here is a site where you can hear the tunings, click on the green tab (string)

http://www.brazdaviola.com.br

One of my favorite luthiers:

http://lucianoqueiroz.com/photos.htm

Take care....

C.

On Mon, Nov 16, 2009 at 11:30 AM, Marion Ceruti <canzone268@...> wrote:
 

Hello Claudia,

It looks like a very nice instrument. How do you tune it?

It resembles other instruments that I have seen:

1. Baroque guitar
2. Puerto Rican cuatro, tuned in 4ths.
3/ 12-string (six course) guitar

Where do you find music for it?

Thanks for sharing the photos.

Marion



From: claudiatwins2003 <claudiatait@...>
To: 10string@yahoogroups.com
Sent: Sun, November 15, 2009 1:35:21 PM
Subject: [10string] 10 string 5 pair Brazilian "viola"

 

Hello all,

I am trying to learn (by myself) this incredible instrument through online tutorials, videos, etc.

Any info on instructors in the Toronto area would be fantastic.

Cheers

Claudia
http://violeirosdob rasil.ning. com/profile/ Claudia




#8233 From: Stephen Bright <stephen@...>
Date: Mon Nov 16, 2009 4:47 pm
Subject: Re: Welcome To The Club
Bright57
Offline Offline
Send Email Send Email
 
Hi Marion:

It is not a harp guitar because Greg Minor says it isn't:


It did come with a hard case. Inside the case compartment is an extensive set list of songs in English, German and French, so it was used by a pro player.

I got it from Early Musical Instruments.com, where I used to work when they were in Basel, Switzerland. The guitar/lute walked in the door from across the street from the shop, where a neighbor had it unused in the family for decades. This probably has not been played in 50 years.

I'll tune it in Romantic, Dm or Theorbo  tuning. I may try all three and see what sounds the best. I'm very excited about it.

Scale trebles = 615
Scale basses = 680

Stephen
_________________________________

Stephen Bright, Classical Harp Guitar
_________________________________




On Nov 16, 2009, at 10:38 AM, Marion Ceruti wrote:


Hello Stephen,

Many traditional lutenists would call it a guitar. Many traditional guitarists would call it a lute.
I call it beautiful! You were fortunate to find one so old in such good condition.
Many guitar lutes have many flaws.

How are you tuning it?
Why is it not a harp guitar?
Did it come with a hard case or are you having one custom made?

Cheers,
Marion


From: Stephen Bright <stephen@cathedralguitar.com>
To: 10string@yahoogroups.com
Sent: Sun, November 15, 2009 6:49:32 PM
Subject: [10string] Welcome To The Club

 

Hello all:


I have just joined the club that very few people dare to join, the guitar/lute club:

My friend has had this instrument for for several decades, and it has just now come to me. It is a professional instrument of the highest quality by Heinrich Fuchs, Munich, Germany, 1923. Spruce/Brazilian:


The funny thing about this instrument is:

It is not a harp guitar
It is not a guitar
It is not a lute

It is probably the most frowned-upon genre of multi sting that I know of, which is why I love it so.

Does anybody else here have one, or am I in a club of 1?
Stephen

PS my friend says this instrument is much better than the Hauser guitar lutes that sell for $5k asking price.
____________ _________ _________ ___

Stephen Bright, Classical Harp Guitar/Lute
____________ _________ _________ ___




#8232 From: Stephen Bright <stephen@...>
Date: Mon Nov 16, 2009 4:39 pm
Subject: Re: Welcome To The Club
Bright57
Offline Offline
Send Email Send Email
 
Hi James:

I can still play dozens of pieces on it where fretting 7-10 is not an issue. 

I'm going to use it as a marketing tool, as I can now go after lute gigs, as the look and sound will be luteish. Renaissance Fair gigs pay very well, although I'll have to brush up on my fake English accent. 

I think it is going to be a lot of fun. It really is an open field, i.e., how many lute/guitarists can you name?? Is there even a Lute/Guitar CD out there? I could break a lot of new ground with this thing.

Stephen
_________________________________

Stephen Bright, Classical Harp Lute/Guitar
_________________________________

On Nov 16, 2009, at 7:58 AM, J R Smith wrote:

Stephen,

These instruments suffer from one problem, like the pre-Yepes 10s guitar, the bottom strings cannot be fretted. Attractive looking, though! 

#8231 From: Marion Ceruti <canzone268@...>
Date: Mon Nov 16, 2009 4:38 pm
Subject: Re: Welcome To The Club
canzone268
Offline Offline
Send Email Send Email
 
Hello Stephen,

Many traditional lutenists would call it a guitar. Many traditional guitarists would call it a lute.
I call it beautiful! You were fortunate to find one so old in such good condition.
Many guitar lutes have many flaws.

How are you tuning it?
Why is it not a harp guitar?
Did it come with a hard case or are you having one custom made?

Cheers,
Marion


From: Stephen Bright <stephen@...>
To: 10string@yahoogroups.com
Sent: Sun, November 15, 2009 6:49:32 PM
Subject: [10string] Welcome To The Club

 

Hello all:


I have just joined the club that very few people dare to join, the guitar/lute club:

My friend has had this instrument for for several decades, and it has just now come to me. It is a professional instrument of the highest quality by Heinrich Fuchs, Munich, Germany, 1923. Spruce/Brazilian:


The funny thing about this instrument is:

It is not a harp guitar
It is not a guitar
It is not a lute

It is probably the most frowned-upon genre of multi sting that I know of, which is why I love it so.

Does anybody else here have one, or am I in a club of 1?
Stephen

PS my friend says this instrument is much better than the Hauser guitar lutes that sell for $5k asking price.
____________ _________ _________ ___

Stephen Bright, Classical Harp Guitar/Lute
____________ _________ _________ ___


#8230 From: Marion Ceruti <canzone268@...>
Date: Mon Nov 16, 2009 4:30 pm
Subject: Re: 10 string 5 pair Brazilian "viola"
canzone268
Offline Offline
Send Email Send Email
 
Hello Claudia,

It looks like a very nice instrument. How do you tune it?

It resembles other instruments that I have seen:

1. Baroque guitar
2. Puerto Rican cuatro, tuned in 4ths.
3/ 12-string (six course) guitar

Where do you find music for it?

Thanks for sharing the photos.

Marion



From: claudiatwins2003 <claudiatait@...>
To: 10string@yahoogroups.com
Sent: Sun, November 15, 2009 1:35:21 PM
Subject: [10string] 10 string 5 pair Brazilian "viola"

 

Hello all,

I am trying to learn (by myself) this incredible instrument through online tutorials, videos, etc.

Any info on instructors in the Toronto area would be fantastic.

Cheers

Claudia
http://violeirosdob rasil.ning. com/profile/ Claudia



#8229 From: J R Smith <vector10@...>
Date: Mon Nov 16, 2009 1:58 pm
Subject: Re: Welcome To The Club
tenvec
Offline Offline
Send Email Send Email
 
Stephen,
These instruments suffer from one problem, like the pre-Yepes 10s guitar, the bottom strings cannot be fretted. Attractive looking, though! 
James.
On 16 Nov 2009, at 02:49, Stephen Bright wrote:

 

Hello all:


I have just joined the club that very few people dare to join, the guitar/lute club:

My friend has had this instrument for for several decades, and it has just now come to me. It is a professional instrument of the highest quality by Heinrich Fuchs, Munich, Germany, 1923. Spruce/Brazilian:


The funny thing about this instrument is:

It is not a harp guitar
It is not a guitar
It is not a lute

It is probably the most frowned-upon genre of multi sting that I know of, which is why I love it so.

Does anybody else here have one, or am I in a club of 1?
Stephen

PS my friend says this instrument is much better than the Hauser guitar lutes that sell for $5k asking price.
_________________________________

Stephen Bright, Classical Harp Guitar/Lute
_________________________________



#8228 From: Stephen Bright <stephen@...>
Date: Mon Nov 16, 2009 2:49 am
Subject: Welcome To The Club
Bright57
Offline Offline
Send Email Send Email
 
Hello all:

I have just joined the club that very few people dare to join, the guitar/lute club:

My friend has had this instrument for for several decades, and it has just now come to me. It is a professional instrument of the highest quality by Heinrich Fuchs, Munich, Germany, 1923. Spruce/Brazilian:


The funny thing about this instrument is:

It is not a harp guitar
It is not a guitar
It is not a lute

It is probably the most frowned-upon genre of multi sting that I know of, which is why I love it so.

Does anybody else here have one, or am I in a club of 1?
Stephen

PS my friend says this instrument is much better than the Hauser guitar lutes that sell for $5k asking price.
_________________________________

Stephen Bright, Classical Harp Guitar/Lute
_________________________________

#8227 From: "claudiatwins2003" <claudiatait@...>
Date: Sun Nov 15, 2009 9:35 pm
Subject: 10 string 5 pair Brazilian "viola"
claudiatwins...
Offline Offline
Send Email Send Email
 
Hello all,


I am trying to learn (by myself) this incredible instrument through online
tutorials, videos, etc.

Any info on instructors in the Toronto area would be fantastic.

Cheers

Claudia
http://violeirosdobrasil.ning.com/profile/Claudia

#8226 From: J R Smith <vector10@...>
Date: Sat Nov 14, 2009 1:36 pm
Subject: Re: scale length and tension
tenvec
Offline Offline
Send Email Send Email
 
Hi Emory,
Firstly, as to my background, I have a bachelor's and a master's degree in engineering and a doctorate in mathematics. Thus, I am not a physicist by training, though I have studied quite a lot of theoretical physics, particularly Relativity and Quantum Mechanics, for interest.
Tension is a force and therefore has the dimensions, (mass x length)/time squared. If you check the dimensions of the formula I quoted for string tension, T, you will see that it has the dimensions of force. Young's modulus, as I indicated, is stress/strain, where stress is force per unit area, and strain for a filament is extension/original length. The dimensions are all correct. Young's modulus is not used in the derivation of the quoted string tension formula, the string there is modelled as longitudinally inextensible, but laterally purely flexible, i.e., a fair approximation to a musical string. The model dates back into the early 19th century as solved using Fourier series. Really, string motion is quite complicated, it takes place in two planes, and there is longitudinal vibration as well. A full treatment is very difficult as the partial differential equations become non-linear. 
The idea of the universe as in some sense a "sea of vibrations", specifically related to vibrating strings, does date back a very long way, to Pythagoras, in fact. 
James.      
On 13 Nov 2009, at 17:42, Emory Villines wrote:

 

Hi James,
 
Let's check one very fiundamental term.  My mental construct of linear string tention is working off of Newton's second law.  I think of tension as  mass times acceleration per area, or Newtons per cm^2, or its equivalent.  I suppose that simplifies to kg per meter per squared second. Is anything wrong with that? Or is what I cam calling tention actually got a better name? Young's modulus or the modulus of elasticity, on the other hand, is something like pressure such as pounds per square inch, or kg per area.  So then Young's modulus times acceleration is how I picture what I call simple longitudinal string tension and relate to the numbers often given in pounds per feet for a guitar string.  Is that right or am I making a baby physics error? 
 
Now let me reply to your kind remarks.  Yes, long live the vibrating guitar string in classical Euclidean and Hillbert Spaces.  It would be biger and better in complex realms and non-euclidean curved space. I am not presently up-to-speed in harmonic mathematical analysis using linear transformation of functions related to fourier analysis at an advanced-level. I once had a rudamentary operational capacity with easy continuous and discrete transforms. But, I am certainly no expert in something like locally compact abelian topological groups as routinely used in elementary harmonic analysis.  Seting up a Eeuclidean model extrapolated to higher dimensions with extra variables was not too difficult.  I wouldn't claim I solved anything.  I might have been a little ahead of the times since I believed vibrating  strings were excessively important long before string theory (you mention this) appeared in mass media.  I strongly held faith that n-space string vibrations had to be a model for something elementary in the multiverse either at a really really big scale or way down below the limits of the constants of Planck.  There are so many marvelous and unexpected relationships and ideas that occur in mathematics that it is mind-blowing. 
 
May I presume that you are a physicist off inventing another new particle between guitar works?
 
Praise to the guitar string...
 
emory

From: J R Smith <vector10@gotadsl.co.uk>
To: 10string@yahoogroups.com
Sent: Fri, November 13, 2009 6:20:22 AM
Subject: Re: [10string] scale length and tension

 

Emory,

There are a number of jokes about mathematicians, physicists, and engineers that manage to catch something of their respective outlooks, often in quite amusing ways.
As to the quantities in the tension equation in S.I. units, tension is in newtons, length is in metres, frequency is in herz, i.e., cycles per second. 
You are correct that changes of a centimetre or two have only a small effect on tension on the installed tension to achieve the desired pitch. What does have a big effect is tuning to a different pitch. Thus, raising pitch by a half tone raises tension by 12.2%, by a tone, 26%, and a minor third(three semi-tones), 4!.4%! This explains why there are special strings to tune a 65 scale in G. 
Musical strings are essentially a filament, so, the relevant elastic quantity is the Young's modulus, E, in newtons per metres squared, which measures stress/strain. Strain is non-dimensional as it the ratio of increased length to the original. String manufacturers are very cagey about giving detailed technical information about the physical characteristics of their products beyond nominal installed tension and diameter. My impression from searching a lot of literature, in retrospect, it would have easier to measure these things with some "kitchen technology", is that low tension strings have E around 4.5 x 10^8, medium tension around 5 x 10^8, and high tension around 5.5 x 10^8 N/m^2.  If anyone has good information on the values of Young's modulus, I would be very interested to learn what they know. Using a medium tension string shows that typical reductions in tension due to the elastic effect are in the range, 7 to 10%. 
I was intrigued at having a go at the overtones of a string in n-space. I imagine the space was euclidean, as otherwise it would be very difficult. Can you remember how you solved the equation, an n-dimensional Fourier transform?  It sounds as though the academic had some interest in particle physics and the still popular, but unverifiable, "String Theory".
James.
On 12 Nov 2009, at 15:17, Emory Villines wrote:

 

Thank you so much for adding to this topic...
 
Is the revision, James, that in the case of a guitar string, that elasticity, or possibly the first derivative of elasticity with respect to something, has some consequence ameliorating the too-easy calculation of the square of the ratios of the length?  Would that proposition not more correctly apply over great changes in compared scale lengths, such as comparing 650mm vs 6500mm, but not when comparing close values such as 664mm to 650mm?  Using one significant figure here, if the realized change in tension in not actually a 4% increase, as I proposed using certain reasonable assumptions for constants in extraneous features, such as possible contributions concerning unique peculaiarities in certain materials, then would the change in tension be 2% increase, or maybe 3% increase?  
 
Interesting idea to consulant any university book on accoustics.. .  I haven't done that since I am lazy and prefer to think it out and talk with people like you.  I presume that in less work than typing this, one could google it.   My undergraduate course in acoustics was in 1977 in the physics department at university.  I got an "A," and they later somehow degreed me.  My amature little course project was an analysis of the overtone series in n-dimention space.  Later, my graduate degree was not in mathematical physics or engineering.  I would never call myself a physict.  My knowledge to anything useful is zilch.

So having said all that, with the obvious proviso that I very much appreciate and respect your authority on this topic, I need to ask one thing which I am sure you know right off:  Using fundamental SI units only, what are the units each for string elasticity and string tention concerning a hypothetical string length with two fixed endpoints? Please inform.
 
One day they called together a mathematician, physicist, and engineer to solve a problem to fence in m chicken in n-dimentions using limited materials to create the maximum fence.  First they consulted with the highest priced one, the engineer, who said to build a square with n+k sides, and in the absence of other information make a square fence to start.  He said he'll supply a table of k values later. Then the physicist was called up.  He told to make the fence circular or quazi-elliptical, eliminate the corners, and give the chickens a bigger matrix to run around without corner obstructions.  And finally, the mathematician, who told them: fence me in, nevermind the chickens, and let me define myself as on the outside.  I love this joke.
 
emory
 
 


From: J R Smith <vector10@gotadsl. co.uk>
To: 10string@yahoogroup s.com
Sent: Thu, November 12, 2009 6:05:04 AM
Subject: Re: [10string] scale length and tension

 

Emory,

With your physics background, you will have no difficulty understanding the formula for string tension derived from the solution of the 1D wave equation satisfied by a laterally flexible string, but otherwise inelastic, attached to two rigid supports at either end, viz., 
T=dx(lxf)^2, where T is tension, d is density per unit length, l is vibrating length, and f is frequency, all quantities in some set of dynamically consistent units. Assuming tension does not change during tensioning to required pitch, ratioing this formula for two states, e.g., different lengths and different frequencies, a first approximation is obtained as to how tension changes in these circumstances. The result is as the manufacturers claimed. 
Of course, there is some longitudinal elasticity, and this can be incorporated into the change of density during the tensioning process, and the resulting quadratic equation solved for the changed tension ratio. The effect of elasticity is to ameliorate the tension rise in the case of, for example, fitting the same string designed for a 65 scale to a 66 one, say., i.e., the tension rise is not as great as predicted by the neglect of longitudinal elasticity. Reversed effects apply when fitting a string designed for a 65 scale tis fitted to a 64 or 63. 
If you are interested, any university text on acoustics will derive the vibrating string equation. 
James.         
On 12 Nov 2009, at 04:46, Emory Villines wrote:

 

1.  I am a big fan of 664mm scale length.  Someone here (we needn't name names) previously told that placing medium tension strings intended for a 650mm on a longer 664mm results in a final effect of those same strings becoming lower tension on the longer 664mm at the same true pitches.  That is exactly backwards. 
 
2.  I have definitive responses now from two top people in the string manufacturing industry telling this:  When the same string is used on a longer scale length (between two nodes) tuned to the same pitch as a shorter scale length, the tension on that string increases on the longer scale length.  So, medium tension strings used on a 664mm feel more like a harder tension version of the same thing used on a 650mm.  For the same string and same tuning, tension varies as the square of the vibrating length. So a longer scale length means increased tension according to (664mm/650mm) ^2 = 1.044 or over 4.4% tension increase.  While the effect is small, it is not negligable.  Similarly a short scale length lowers the tension when compared to longer scale lengths for the same strings at the same pitch.  Alto player might confirm that.
 
3.  A company like Hannabach makes their ten string set in medium tension only partially but not entirely since the standard for Madrid ten string scales has been 660mm to 664mm in my opinion, not 650mm, (primarily due to Jose Ramirez III, his makers, and elsewhere Bernabe in the late 60's and 70's).  I recognize that the majority of readers prefer the 650mm and claim it's easier to play.  I like the longer also for the controversial reason that I imagine it is slightly louder too.  Like many people, there's a long list of strings I dislike.  I have found others that I really like.  I am not an expert on new string materials or technologies. 
 
4.  What any specific manufacturer calls "high (hard) tension" vs. "medium (normal) tension" may mean anything, and meets no industry or national standard.  Medium in one line might be equivalent to high in another.  I ALWAYS consider at the string diameter too, and rely on the feel to reach conclusions on my personal preferences, like everyone else.
 
5.  Of course, it is NOT the case that all the strings in a set work out to the same tension value, nor should they.  You wouldn't like them if they were the same tension value. That's widely known.
 
6.  Conclusion:  Regardless of the strings you prefer, or mix and match to taste, if you put them on a shorter scale length instrument you lower the tension, whereas on a longer scale length instrument you increase the tension, when you compare the two scenarios at the same tuning.
 
 
emory










#8225 From: J R Smith <vector10@...>
Date: Sat Nov 14, 2009 12:11 pm
Subject: Re: Re: scale length and tension
tenvec
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Fred,
I have only played the classical 6s bass, tuned the usual way, an octave below the standard 6s. A classical bass has usually a 75 scale, and in consequence is quite demanding to play anything like even simple repertoire. As used in ensemble, they usually play just single notes or two note chords. Fuller chords are rare. In jazz ensembles a 4s is often used, but not with a tuning you have suggested.
James. 
On 14 Nov 2009, at 05:21, Fredrick wrote:

 

  Hi Emory!  I also am a fan of  such a long scale length ,,, at least for the bass side of the neck. Not so much so for the treble side of the neck. From about 60cm on up seems to be more ideal for the bass range of the musical scale at the nut.  Where shorter than about 60cm seems to make a better treble clef instrument at the nut.

 What I find troubling about long scale lengths is the wide fret spreads you have to deal with at such lengths. That is if you tune in 4ths as is traditionally done. Since you seem to have no complaints about such a long scale length ,,, I think it is probably safe to assume you have big hands. 

 I have no aspirations to become a bass guitarist ,,, but if I did ,,, with my size hands I think I would be mostly a failure if I tuned the traditional way such an instrument is tuned. I've contemplated that the solution would be to tune every other string a 5th apart with a minor 3rd in between.

 For example: A five string bass  tuned    'A', 'C', 'E', 'G', 'B'   Low to high.   James! ,,, You've said you are or were a Bass guitarist ,,, Has anyone to your knowledge ever tried such a tuning on bass? If yes ,,, How did that go for them??   Fred
     

--- In 10string@yahoogroups.com, Emory Villines <emoryvillines@...> wrote:
>
> 1.  I am a big fan of 664mm scale length.  Someone here (we needn't name names) previously told that placing medium tension strings intended for a 650mm on a longer 664mm results in a final effect of those same strings becoming lower tension on the longer 664mm at the same true pitches.  That is exactly backwards. 
>  
> 2.  I have definitive responses now from two top people in the string manufacturing industry telling this:  When the same string is used on a longer scale length (between two nodes) tuned to the same pitch as a shorter scale length, the tension on that string increases on the longer scale length.  So, medium tension strings used on a 664mm feel more like a harder tension version of the same thing used on a 650mm.  For the same string and same tuning, tension varies as the square of the vibrating length. So a longer scale length means increased tension according to (664mm/650mm)^2 = 1.044 or over 4.4% tension increase.  While the effect is small, it is not negligable.  Similarly a short scale length lowers the tension when compared to longer scale lengths for the same strings at the same pitch.  Alto player might confirm that.
>  
> 3.  A company like Hannabach makes their ten string set in medium tension only partially but not entirely since the standard for Madrid ten string scales has been 660mm to 664mm in my opinion, not 650mm, (primarily due to Jose Ramirez III, his makers, and elsewhere Bernabe in the late 60's and 70's).  I recognize that the majority of readers prefer the 650mm and claim it's easier to play.  I like the longer also for the controversial reason that I imagine it is slightly louder too.  Like many people, there's a long list of strings I dislike.  I have found others that I really like.  I am not an expert on new string materials or technologies. 
>  
> 4.  What any specific manufacturer calls "high (hard) tension" vs. "medium (normal) tension" may mean anything, and meets no industry or national standard.  Medium in one line might be equivalent to high in another.  I ALWAYS consider at the string diameter too, and rely on the feel to reach conclusions on my personal preferences, like everyone else.
>  
> 5.  Of course, it is NOT the case that all the strings in a set work out to the same tension value, nor should they.  You wouldn't like them if they were the same tension value. That's widely known.
>  
> 6.  Conclusion:  Regardless of the strings you prefer, or mix and match to taste, if you put them on a shorter scale length instrument you lower the tension, whereas on a longer scale length instrument you increase the tension, when you compare the two scenarios at the same tuning.
>  
>  
> emory
>



#8224 From: Emory Villines <emoryvillines@...>
Date: Sat Nov 14, 2009 9:39 am
Subject: Re: Re: scale length and tension
emoryvillines
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Hi Fred,
 
Thanks for writing.  I remember you speaking about the fret-span issue before.  I don't think I am unique. I have normal hands, maybe slightly larger than normal palm width. 
 
In my case, fret-span has a lot to do with holding the guitar properly, sitting properly, and proper use of the hands like Segovia, Yepes, et. al.  If I hold the guitar incorrectly, I can forget it. What I do have is a lot of finger seperation and control.  Most of my body parts are substantial (e.g. size 13 shoes).  I think one asset is my wrists are good. My thumbs are low set more so than average.  I tend to lean forward, hold the thumb on the left hand lower than many others, and raise the neck up by using the highest footstool position and the lower seat level on a piano bench (for guitar)
 
Like most people, I can hit a 10th on a piano without suffering.  That's normal, not heroic.  I've seen people who can play a 13th on a piano.  It's almost freaky to me.  That's an anatomical impossibility for me.
 
 
 
I'll give you some left hand examples of oddities.  I can hold down a routine E chord in the open position with 2,3,and 1 in the left hand, and clearly add the G# on the 6th string's fourth fret with the left hand's little finger on a 664mm with big string spacing (like Ramirez).  That's 70% a matter of anatomy.  I think about 1 in 3 male guitarists can it without grief, and probably fewer girls can.  I routinely play a Bach piece we all love with a four fret spread between the ring and little fingers on the left hand, while the first and second fingers are busy elsewhere.  And that spot is not trip point to me.  Alternatively, I have a tendency when I pick up a 650 mm 6 string to feel like my fingers are all crammed together on a simple C chord.  
 
We can reach farther with practice.  You can also damage you hands by pushing the envelope over and over. We all have strengths and weaknesses.  It takes a long time to get used to something new if you have different habits.  
 
I am using medium tension strings.  That make it a little easier.  Also you can realize great changes in presure and vibrato with medium strings.  Ornaments are easier too. I sometimes squeeze notes one way or the other for effect.  And it comes out better with medium tension strings than with hard tension ones.
 
emory


From: Fredrick <f_fernsemer@...>
To: 10string@yahoogroups.com
Sent: Sat, November 14, 2009 12:21:09 AM
Subject: [10string] Re: scale length and tension

 

  Hi Emory!  I also am a fan of  such a long scale length ,,, at least for the bass side of the neck. Not so much so for the treble side of the neck. From about 60cm on up seems to be more ideal for the bass range of the musical scale at the nut.  Where shorter than about 60cm seems to make a better treble clef instrument at the nut.

 What I find troubling about long scale lengths is the wide fret spreads you have to deal with at such lengths. That is if you tune in 4ths as is traditionally done. Since you seem to have no complaints about such a long scale length ,,, I think it is probably safe to assume you have big hands. 

 I have no aspirations to become a bass guitarist ,,, but if I did ,,, with my size hands I think I would be mostly a failure if I tuned the traditional way such an instrument is tuned. I've contemplated that the solution would be to tune every other string a 5th apart with a minor 3rd in between.

 For example: A five string bass  tuned    'A', 'C', 'E', 'G', 'B'   Low to high.   James! ,,, You've said you are or were a Bass guitarist ,,, Has anyone to your knowledge ever tried such a tuning on bass? If yes ,,, How did that go for them??   Fred
     

--- In 10string@yahoogroup s.com, Emory Villines <emoryvillines@ ...> wrote:
>
> 1.  I am a big fan of 664mm scale length.  Someone here (we needn't name names) previously told that placing medium tension strings intended for a 650mm on a longer 664mm results in a final effect of those same strings becoming lower tension on the longer 664mm at the same true pitches.  That is exactly backwards. 
>  
> 2.  I have definitive responses now from two top people in the string manufacturing industry telling this:  When the same string is used on a longer scale length (between two nodes) tuned to the same pitch as a shorter scale length, the tension on that string increases on the longer scale length.  So, medium tension strings used on a 664mm feel more like a harder tension version of the same thing used on a 650mm.  For the same string and same tuning, tension varies as the square of the vibrating length. So a longer scale length means increased tension according to (664mm/650mm) ^2 = 1.044 or over 4.4% tension increase.  While the effect is small, it is not negligable.  Similarly a short scale length lowers the tension when compared to longer scale lengths for the same strings at the same pitch.  Alto player might confirm that.
>  
> 3.  A company like Hannabach makes their ten string set in medium tension only partially but not entirely since the standard for Madrid ten string scales has been 660mm to 664mm in my opinion, not 650mm, (primarily due to Jose Ramirez III, his makers, and elsewhere Bernabe in the late 60's and 70's).  I recognize that the majority of readers prefer the 650mm and claim it's easier to play.  I like the longer also for the controversial reason that I imagine it is slightly louder too.  Like many people, there's a long list of strings I dislike.  I have found others that I really like.  I am not an expert on new string materials or technologies. 
>  
> 4.  What any specific manufacturer calls "high (hard) tension" vs. "medium (normal) tension" may mean anything, and meets no industry or national standard.  Medium in one line might be equivalent to high in another.  I ALWAYS consider at the string diameter too, and rely on the feel to reach conclusions on my personal preferences, like everyone else.
>  
> 5.  Of course, it is NOT the case that all the strings in a set work out to the same tension value, nor should they.  You wouldn't like them if they were the same tension value. That's widely known.
>  
> 6.  Conclusion:  Regardless of the strings you prefer, or mix and match to taste, if you put them on a shorter scale length instrument you lower the tension, whereas on a longer scale length instrument you increase the tension, when you compare the two scenarios at the same tuning.
>  
>  
> emory
>



#8223 From: Emory Villines <emoryvillines@...>
Date: Sat Nov 14, 2009 9:31 am
Subject: Re: Re: scale length and tension
emoryvillines
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Send Email Send Email
 
Hi Fred,
 
Thanks for writing.  I remember you saying that about the fret-span issue before.  I don't think I am unique. I have normal hands, maybe slightly larger than normal palm width. 
 
In my case, fret-span has a lot to do with holding the guitar properly, sitting properly, and proper use of the hands like Segovia, Yepes, et. al.  If I hold the guitar incorrectly, I can forget it. What I do have is a lot of finger seperation and control.  Most of my body parts are substantial (e.g. size 13 shoes).  I think one asset is my wrists are good. I can hit a 10th on a piano without suffering.  That's normal, not heroic.  I've seen people who can play a 13th on a piano.  It's almost freaky to me.   I tend to lean forward, hold the thumb on the left hand lower than many others, and raise the neck up by using the highest footstool position and the lower seat level on a piano bench (for guitar). 
 
It's subjective.   We all have strengths and weaknesses.  It takes a long time to get used to something new if you have different habits.
 
I'll give you some left hand examples of oddities.  I can hold down a routine E chord in the open position with 2,3,and 1 in the left hand, and clearly add the G# on the 6th string's fourth fret with the left hand's little finger on a 664mm with big string spacing (like Ramirez).  That's 70% a matter of anatomy.  I think about 1 in 3 male guitarists can it without grief, and probably fewer girls can.  I routinely play a Bach piece we all love with a four fret spread between the ring and little fingers on the left hand, while the first and second fingers are busy elsewhere.  And that spot is not trip point to me.  Alternatively, I have a tendency when I pick up a 650 mm 6 string to feel like my fingers are all crammed together on a simple C chord.  It surprises me that I have to pay attention on that now, but never had that problem before.  A current left hand manicure helps me.
 
We can reach farther with practice, practice, practice...  You can also damage you hands by pushing the envelope over and over.  Also, I am using medium tension strings.  That make it a little easier.  Also you can realize great changes in presure and vibrato with medium strings.  I sometimes find that I slightly squeeze notes one way or the other for effect.  And it comes out better with medium tension strings than with hard tension ones.
 
emory


From: Fredrick <f_fernsemer@...>
To: 10string@yahoogroups.com
Sent: Sat, November 14, 2009 12:21:09 AM
Subject: [10string] Re: scale length and tension

 

  Hi Emory!  I also am a fan of  such a long scale length ,,, at least for the bass side of the neck. Not so much so for the treble side of the neck. From about 60cm on up seems to be more ideal for the bass range of the musical scale at the nut.  Where shorter than about 60cm seems to make a better treble clef instrument at the nut.

 What I find troubling about long scale lengths is the wide fret spreads you have to deal with at such lengths. That is if you tune in 4ths as is traditionally done. Since you seem to have no complaints about such a long scale length ,,, I think it is probably safe to assume you have big hands. 

 I have no aspirations to become a bass guitarist ,,, but if I did ,,, with my size hands I think I would be mostly a failure if I tuned the traditional way such an instrument is tuned. I've contemplated that the solution would be to tune every other string a 5th apart with a minor 3rd in between.

 For example: A five string bass  tuned    'A', 'C', 'E', 'G', 'B'   Low to high.   James! ,,, You've said you are or were a Bass guitarist ,,, Has anyone to your knowledge ever tried such a tuning on bass? If yes ,,, How did that go for them??   Fred
     

--- In 10string@yahoogroup s.com, Emory Villines <emoryvillines@ ...> wrote:
>
> 1.  I am a big fan of 664mm scale length.  Someone here (we needn't name names) previously told that placing medium tension strings intended for a 650mm on a longer 664mm results in a final effect of those same strings becoming lower tension on the longer 664mm at the same true pitches.  That is exactly backwards. 
>  
> 2.  I have definitive responses now from two top people in the string manufacturing industry telling this:  When the same string is used on a longer scale length (between two nodes) tuned to the same pitch as a shorter scale length, the tension on that string increases on the longer scale length.  So, medium tension strings used on a 664mm feel more like a harder tension version of the same thing used on a 650mm.  For the same string and same tuning, tension varies as the square of the vibrating length. So a longer scale length means increased tension according to (664mm/650mm) ^2 = 1.044 or over 4.4% tension increase.  While the effect is small, it is not negligable.  Similarly a short scale length lowers the tension when compared to longer scale lengths for the same strings at the same pitch.  Alto player might confirm that.
>  
> 3.  A company like Hannabach makes their ten string set in medium tension only partially but not entirely since the standard for Madrid ten string scales has been 660mm to 664mm in my opinion, not 650mm, (primarily due to Jose Ramirez III, his makers, and elsewhere Bernabe in the late 60's and 70's).  I recognize that the majority of readers prefer the 650mm and claim it's easier to play.  I like the longer also for the controversial reason that I imagine it is slightly louder too.  Like many people, there's a long list of strings I dislike.  I have found others that I really like.  I am not an expert on new string materials or technologies. 
>  
> 4.  What any specific manufacturer calls "high (hard) tension" vs. "medium (normal) tension" may mean anything, and meets no industry or national standard.  Medium in one line might be equivalent to high in another.  I ALWAYS consider at the string diameter too, and rely on the feel to reach conclusions on my personal preferences, like everyone else.
>  
> 5.  Of course, it is NOT the case that all the strings in a set work out to the same tension value, nor should they.  You wouldn't like them if they were the same tension value. That's widely known.
>  
> 6.  Conclusion:  Regardless of the strings you prefer, or mix and match to taste, if you put them on a shorter scale length instrument you lower the tension, whereas on a longer scale length instrument you increase the tension, when you compare the two scenarios at the same tuning.
>  
>  
> emory
>



#8222 From: "Fredrick" <f_fernsemer@...>
Date: Sat Nov 14, 2009 5:21 am
Subject: Re: scale length and tension
fernsemer
Offline Offline
Send Email Send Email
 
  Hi Emory!  I also am a fan of  such a long scale length ,,, at least for the bass side of the neck. Not so much so for the treble side of the neck. From about 60cm on up seems to be more ideal for the bass range of the musical scale at the nut.  Where shorter than about 60cm seems to make a better treble clef instrument at the nut.

 What I find troubling about long scale lengths is the wide fret spreads you have to deal with at such lengths. That is if you tune in 4ths as is traditionally done. Since you seem to have no complaints about such a long scale length ,,, I think it is probably safe to assume you have big hands. 

 I have no aspirations to become a bass guitarist ,,, but if I did ,,, with my size hands I think I would be mostly a failure if I tuned the traditional way such an instrument is tuned. I've contemplated that the solution would be to tune every other string a 5th apart with a minor 3rd in between.

 For example: A five string bass  tuned    'A', 'C', 'E', 'G', 'B'   Low to high.   James! ,,, You've said you are or were a Bass guitarist ,,, Has anyone to your knowledge ever tried such a tuning on bass? If yes ,,, How did that go for them??   Fred
     

--- In 10string@yahoogroups.com, Emory Villines <emoryvillines@...> wrote:
>
> 1.  I am a big fan of 664mm scale length.  Someone here (we needn't name names) previously told that placing medium tension strings intended for a 650mm on a longer 664mm results in a final effect of those same strings becoming lower tension on the longer 664mm at the same true pitches.  That is exactly backwards. 
>  
> 2.  I have definitive responses now from two top people in the string manufacturing industry telling this:  When the same string is used on a longer scale length (between two nodes) tuned to the same pitch as a shorter scale length, the tension on that string increases on the longer scale length.  So, medium tension strings used on a 664mm feel more like a harder tension version of the same thing used on a 650mm.  For the same string and same tuning, tension varies as the square of the vibrating length. So a longer scale length means increased tension according to (664mm/650mm)^2 = 1.044 or over 4.4% tension increase.  While the effect is small, it is not negligable.  Similarly a short scale length lowers the tension when compared to longer scale lengths for the same strings at the same pitch.  Alto player might confirm that.
>  
> 3.  A company like Hannabach makes their ten string set in medium tension only partially but not entirely since the standard for Madrid ten string scales has been 660mm to 664mm in my opinion, not 650mm, (primarily due to Jose Ramirez III, his makers, and elsewhere Bernabe in the late 60's and 70's).  I recognize that the majority of readers prefer the 650mm and claim it's easier to play.  I like the longer also for the controversial reason that I imagine it is slightly louder too.  Like many people, there's a long list of strings I dislike.  I have found others that I really like.  I am not an expert on new string materials or technologies. 
>  
> 4.  What any specific manufacturer calls "high (hard) tension" vs. "medium (normal) tension" may mean anything, and meets no industry or national standard.  Medium in one line might be equivalent to high in another.  I ALWAYS consider at the string diameter too, and rely on the feel to reach conclusions on my personal preferences, like everyone else.
>  
> 5.  Of course, it is NOT the case that all the strings in a set work out to the same tension value, nor should they.  You wouldn't like them if they were the same tension value. That's widely known.
>  
> 6.  Conclusion:  Regardless of the strings you prefer, or mix and match to taste, if you put them on a shorter scale length instrument you lower the tension, whereas on a longer scale length instrument you increase the tension, when you compare the two scenarios at the same tuning.
>  
>  
> emory
>

#8221 From: Emory Villines <emoryvillines@...>
Date: Fri Nov 13, 2009 5:42 pm
Subject: Re: scale length and tension
emoryvillines
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Send Email Send Email
 
Hi James,
 
Let's check one very fiundamental term.  My mental construct of linear string tention is working off of Newton's second law.  I think of tension as  mass times acceleration per area, or Newtons per cm^2, or its equivalent.  I suppose that simplifies to kg per meter per squared second. Is anything wrong with that? Or is what I cam calling tention actually got a better name? Young's modulus or the modulus of elasticity, on the other hand, is something like pressure such as pounds per square inch, or kg per area.  So then Young's modulus times acceleration is how I picture what I call simple longitudinal string tension and relate to the numbers often given in pounds per feet for a guitar string.  Is that right or am I making a baby physics error? 
 
Now let me reply to your kind remarks.  Yes, long live the vibrating guitar string in classical Euclidean and Hillbert Spaces.  It would be biger and better in complex realms and non-euclidean curved space. I am not presently up-to-speed in harmonic mathematical analysis using linear transformation of functions related to fourier analysis at an advanced-level. I once had a rudamentary operational capacity with easy continuous and discrete transforms. But, I am certainly no expert in something like locally compact abelian topological groups as routinely used in elementary harmonic analysis.  Seting up a Eeuclidean model extrapolated to higher dimensions with extra variables was not too difficult.  I wouldn't claim I solved anything.  I might have been a little ahead of the times since I believed vibrating  strings were excessively important long before string theory (you mention this) appeared in mass media.  I strongly held faith that n-space string vibrations had to be a model for something elementary in the multiverse either at a really really big scale or way down below the limits of the constants of Planck.  There are so many marvelous and unexpected relationships and ideas that occur in mathematics that it is mind-blowing. 
 
May I presume that you are a physicist off inventing another new particle between guitar works?
 
Praise to the guitar string...
 
emory

From: J R Smith <vector10@...>
To: 10string@yahoogroups.com
Sent: Fri, November 13, 2009 6:20:22 AM
Subject: Re: [10string] scale length and tension

 

Emory,

There are a number of jokes about mathematicians, physicists, and engineers that manage to catch something of their respective outlooks, often in quite amusing ways.
As to the quantities in the tension equation in S.I. units, tension is in newtons, length is in metres, frequency is in herz, i.e., cycles per second. 
You are correct that changes of a centimetre or two have only a small effect on tension on the installed tension to achieve the desired pitch. What does have a big effect is tuning to a different pitch. Thus, raising pitch by a half tone raises tension by 12.2%, by a tone, 26%, and a minor third(three semi-tones), 4!.4%! This explains why there are special strings to tune a 65 scale in G. 
Musical strings are essentially a filament, so, the relevant elastic quantity is the Young's modulus, E, in newtons per metres squared, which measures stress/strain. Strain is non-dimensional as it the ratio of increased length to the original. String manufacturers are very cagey about giving detailed technical information about the physical characteristics of their products beyond nominal installed tension and diameter. My impression from searching a lot of literature, in retrospect, it would have easier to measure these things with some "kitchen technology", is that low tension strings have E around 4.5 x 10^8, medium tension around 5 x 10^8, and high tension around 5.5 x 10^8 N/m^2.  If anyone has good information on the values of Young's modulus, I would be very interested to learn what they know. Using a medium tension string shows that typical reductions in tension due to the elastic effect are in the range, 7 to 10%. 
I was intrigued at having a go at the overtones of a string in n-space. I imagine the space was euclidean, as otherwise it would be very difficult. Can you remember how you solved the equation, an n-dimensional Fourier transform?  It sounds as though the academic had some interest in particle physics and the still popular, but unverifiable, "String Theory".
James.
On 12 Nov 2009, at 15:17, Emory Villines wrote:

 

Thank you so much for adding to this topic...
 
Is the revision, James, that in the case of a guitar string, that elasticity, or possibly the first derivative of elasticity with respect to something, has some consequence ameliorating the too-easy calculation of the square of the ratios of the length?  Would that proposition not more correctly apply over great changes in compared scale lengths, such as comparing 650mm vs 6500mm, but not when comparing close values such as 664mm to 650mm?  Using one significant figure here, if the realized change in tension in not actually a 4% increase, as I proposed using certain reasonable assumptions for constants in extraneous features, such as possible contributions concerning unique peculaiarities in certain materials, then would the change in tension be 2% increase, or maybe 3% increase?  
 
Interesting idea to consulant any university book on accoustics.. .  I haven't done that since I am lazy and prefer to think it out and talk with people like you.  I presume that in less work than typing this, one could google it.   My undergraduate course in acoustics was in 1977 in the physics department at university.  I got an "A," and they later somehow degreed me.  My amature little course project was an analysis of the overtone series in n-dimention space.  Later, my graduate degree was not in mathematical physics or engineering.  I would never call myself a physict.  My knowledge to anything useful is zilch.

So having said all that, with the obvious proviso that I very much appreciate and respect your authority on this topic, I need to ask one thing which I am sure you know right off:  Using fundamental SI units only, what are the units each for string elasticity and string tention concerning a hypothetical string length with two fixed endpoints? Please inform.
 
One day they called together a mathematician, physicist, and engineer to solve a problem to fence in m chicken in n-dimentions using limited materials to create the maximum fence.  First they consulted with the highest priced one, the engineer, who said to build a square with n+k sides, and in the absence of other information make a square fence to start.  He said he'll supply a table of k values later. Then the physicist was called up.  He told to make the fence circular or quazi-elliptical, eliminate the corners, and give the chickens a bigger matrix to run around without corner obstructions.  And finally, the mathematician, who told them: fence me in, nevermind the chickens, and let me define myself as on the outside.  I love this joke.
 
emory
 
 


From: J R Smith <vector10@gotadsl. co.uk>
To: 10string@yahoogroup s.com
Sent: Thu, November 12, 2009 6:05:04 AM
Subject: Re: [10string] scale length and tension

 

Emory,

With your physics background, you will have no difficulty understanding the formula for string tension derived from the solution of the 1D wave equation satisfied by a laterally flexible string, but otherwise inelastic, attached to two rigid supports at either end, viz., 
T=dx(lxf)^2, where T is tension, d is density per unit length, l is vibrating length, and f is frequency, all quantities in some set of dynamically consistent units. Assuming tension does not change during tensioning to required pitch, ratioing this formula for two states, e.g., different lengths and different frequencies, a first approximation is obtained as to how tension changes in these circumstances. The result is as the manufacturers claimed. 
Of course, there is some longitudinal elasticity, and this can be incorporated into the change of density during the tensioning process, and the resulting quadratic equation solved for the changed tension ratio. The effect of elasticity is to ameliorate the tension rise in the case of, for example, fitting the same string designed for a 65 scale to a 66 one, say., i.e., the tension rise is not as great as predicted by the neglect of longitudinal elasticity. Reversed effects apply when fitting a string designed for a 65 scale tis fitted to a 64 or 63. 
If you are interested, any university text on acoustics will derive the vibrating string equation. 
James.         
On 12 Nov 2009, at 04:46, Emory Villines wrote:

 

1.  I am a big fan of 664mm scale length.  Someone here (we needn't name names) previously told that placing medium tension strings intended for a 650mm on a longer 664mm results in a final effect of those same strings becoming lower tension on the longer 664mm at the same true pitches.  That is exactly backwards. 
 
2.  I have definitive responses now from two top people in the string manufacturing industry telling this:  When the same string is used on a longer scale length (between two nodes) tuned to the same pitch as a shorter scale length, the tension on that string increases on the longer scale length.  So, medium tension strings used on a 664mm feel more like a harder tension version of the same thing used on a 650mm.  For the same string and same tuning, tension varies as the square of the vibrating length. So a longer scale length means increased tension according to (664mm/650mm) ^2 = 1.044 or over 4.4% tension increase.  While the effect is small, it is not negligable.  Similarly a short scale length lowers the tension when compared to longer scale lengths for the same strings at the same pitch.  Alto player might confirm that.
 
3.  A company like Hannabach makes their ten string set in medium tension only partially but not entirely since the standard for Madrid ten string scales has been 660mm to 664mm in my opinion, not 650mm, (primarily due to Jose Ramirez III, his makers, and elsewhere Bernabe in the late 60's and 70's).  I recognize that the majority of readers prefer the 650mm and claim it's easier to play.  I like the longer also for the controversial reason that I imagine it is slightly louder too.  Like many people, there's a long list of strings I dislike.  I have found others that I really like.  I am not an expert on new string materials or technologies. 
 
4.  What any specific manufacturer calls "high (hard) tension" vs. "medium (normal) tension" may mean anything, and meets no industry or national standard.  Medium in one line might be equivalent to high in another.  I ALWAYS consider at the string diameter too, and rely on the feel to reach conclusions on my personal preferences, like everyone else.
 
5.  Of course, it is NOT the case that all the strings in a set work out to the same tension value, nor should they.  You wouldn't like them if they were the same tension value. That's widely known.
 
6.  Conclusion:  Regardless of the strings you prefer, or mix and match to taste, if you put them on a shorter scale length instrument you lower the tension, whereas on a longer scale length instrument you increase the tension, when you compare the two scenarios at the same tuning.
 
 
emory








#8220 From: J R Smith <vector10@...>
Date: Fri Nov 13, 2009 11:56 am
Subject: Re: String tension
tenvec
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John,
It is a simple piece of statics to analyse the vertical force applied to a fret. The result, as you indicated, is that if the "action" of the string, which is controlled by the height of the nut and the bridge/saddle, is unchanged, shortening the string length increases the required deflection force. I did the calculation because a fellow member of the alto group pointed out that performing baroque slurs and ornaments on a 57 scale alto is noticeably more difficult than on a baroque lute, with fretted scale lengths  of 68 plus. Matters are helped on an alto by slightly  reducing string height, typically about half a milliimetre at the twelfth fret. This reduces the increase in vertical deflection force from around 14% to 10%.  
James.    
On 12 Nov 2009, at 20:00, John Abrams wrote:

 

Actually the "tension" that Glen is talking about is the apparent tension to the guitarist, i.e., the ease of pushing a string from its resting position to the fingerboard.  Emory and James have only been discussing the tension between the nut (actually the peghead) and the bridge (actually the point where the string is tied.)  I'd like to see the math on the relationship between this perpendicular "tension" - the apparent difficulty in fingering the string - and a shorter string length for the same string.  Visualize a 25" string and a 1" string of the same linear tension pushed towards the fingerboard.  The 1" string will be harder to push.



#8219 From: J R Smith <vector10@...>
Date: Fri Nov 13, 2009 11:20 am
Subject: Re: scale length and tension
tenvec
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Emory,
There are a number of jokes about mathematicians, physicists, and engineers that manage to catch something of their respective outlooks, often in quite amusing ways.
As to the quantities in the tension equation in S.I. units, tension is in newtons, length is in metres, frequency is in herz, i.e., cycles per second. 
You are correct that changes of a centimetre or two have only a small effect on tension on the installed tension to achieve the desired pitch. What does have a big effect is tuning to a different pitch. Thus, raising pitch by a half tone raises tension by 12.2%, by a tone, 26%, and a minor third(three semi-tones), 4!.4%! This explains why there are special strings to tune a 65 scale in G. 
Musical strings are essentially a filament, so, the relevant elastic quantity is the Young's modulus, E, in newtons per metres squared, which measures stress/strain. Strain is non-dimensional as it the ratio of increased length to the original. String manufacturers are very cagey about giving detailed technical information about the physical characteristics of their products beyond nominal installed tension and diameter. My impression from searching a lot of literature, in retrospect, it would have easier to measure these things with some "kitchen technology", is that low tension strings have E around 4.5 x 10^8, medium tension around 5 x 10^8, and high tension around 5.5 x 10^8 N/m^2.  If anyone has good information on the values of Young's modulus, I would be very interested to learn what they know. Using a medium tension string shows that typical reductions in tension due to the elastic effect are in the range, 7 to 10%. 
I was intrigued at having a go at the overtones of a string in n-space. I imagine the space was euclidean, as otherwise it would be very difficult. Can you remember how you solved the equation, an n-dimensional Fourier transform?  It sounds as though the academic had some interest in particle physics and the still popular, but unverifiable, "String Theory".
James.
On 12 Nov 2009, at 15:17, Emory Villines wrote:

 

Thank you so much for adding to this topic...
 
Is the revision, James, that in the case of a guitar string, that elasticity, or possibly the first derivative of elasticity with respect to something, has some consequence ameliorating the too-easy calculation of the square of the ratios of the length?  Would that proposition not more correctly apply over great changes in compared scale lengths, such as comparing 650mm vs 6500mm, but not when comparing close values such as 664mm to 650mm?  Using one significant figure here, if the realized change in tension in not actually a 4% increase, as I proposed using certain reasonable assumptions for constants in extraneous features, such as possible contributions concerning unique peculaiarities in certain materials, then would the change in tension be 2% increase, or maybe 3% increase?  
 
Interesting idea to consulant any university book on accoustics...  I haven't done that since I am lazy and prefer to think it out and talk with people like you.  I presume that in less work than typing this, one could google it.   My undergraduate course in acoustics was in 1977 in the physics department at university.  I got an "A," and they later somehow degreed me.  My amature little course project was an analysis of the overtone series in n-dimention space.  Later, my graduate degree was not in mathematical physics or engineering.  I would never call myself a physict.  My knowledge to anything useful is zilch.

So having said all that, with the obvious proviso that I very much appreciate and respect your authority on this topic, I need to ask one thing which I am sure you know right off:  Using fundamental SI units only, what are the units each for string elasticity and string tention concerning a hypothetical string length with two fixed endpoints? Please inform.
 
One day they called together a mathematician, physicist, and engineer to solve a problem to fence in m chicken in n-dimentions using limited materials to create the maximum fence.  First they consulted with the highest priced one, the engineer, who said to build a square with n+k sides, and in the absence of other information make a square fence to start.  He said he'll supply a table of k values later. Then the physicist was called up.  He told to make the fence circular or quazi-elliptical, eliminate the corners, and give the chickens a bigger matrix to run around without corner obstructions.  And finally, the mathematician, who told them: fence me in, nevermind the chickens, and let me define myself as on the outside.  I love this joke.
 
emory
 
 


From: J R Smith <vector10@gotadsl.co.uk>
To: 10string@yahoogroups.com
Sent: Thu, November 12, 2009 6:05:04 AM
Subject: Re: [10string] scale length and tension

 

Emory,

With your physics background, you will have no difficulty understanding the formula for string tension derived from the solution of the 1D wave equation satisfied by a laterally flexible string, but otherwise inelastic, attached to two rigid supports at either end, viz., 
T=dx(lxf)^2, where T is tension, d is density per unit length, l is vibrating length, and f is frequency, all quantities in some set of dynamically consistent units. Assuming tension does not change during tensioning to required pitch, ratioing this formula for two states, e.g., different lengths and different frequencies, a first approximation is obtained as to how tension changes in these circumstances. The result is as the manufacturers claimed. 
Of course, there is some longitudinal elasticity, and this can be incorporated into the change of density during the tensioning process, and the resulting quadratic equation solved for the changed tension ratio. The effect of elasticity is to ameliorate the tension rise in the case of, for example, fitting the same string designed for a 65 scale to a 66 one, say., i.e., the tension rise is not as great as predicted by the neglect of longitudinal elasticity. Reversed effects apply when fitting a string designed for a 65 scale tis fitted to a 64 or 63. 
If you are interested, any university text on acoustics will derive the vibrating string equation. 
James.         
On 12 Nov 2009, at 04:46, Emory Villines wrote:

 

1.  I am a big fan of 664mm scale length.  Someone here (we needn't name names) previously told that placing medium tension strings intended for a 650mm on a longer 664mm results in a final effect of those same strings becoming lower tension on the longer 664mm at the same true pitches.  That is exactly backwards. 
 
2.  I have definitive responses now from two top people in the string manufacturing industry telling this:  When the same string is used on a longer scale length (between two nodes) tuned to the same pitch as a shorter scale length, the tension on that string increases on the longer scale length.  So, medium tension strings used on a 664mm feel more like a harder tension version of the same thing used on a 650mm.  For the same string and same tuning, tension varies as the square of the vibrating length. So a longer scale length means increased tension according to (664mm/650mm) ^2 = 1.044 or over 4.4% tension increase.  While the effect is small, it is not negligable.  Similarly a short scale length lowers the tension when compared to longer scale lengths for the same strings at the same pitch.  Alto player might confirm that.
 
3.  A company like Hannabach makes their ten string set in medium tension only partially but not entirely since the standard for Madrid ten string scales has been 660mm to 664mm in my opinion, not 650mm, (primarily due to Jose Ramirez III, his makers, and elsewhere Bernabe in the late 60's and 70's).  I recognize that the majority of readers prefer the 650mm and claim it's easier to play.  I like the longer also for the controversial reason that I imagine it is slightly louder too.  Like many people, there's a long list of strings I dislike.  I have found others that I really like.  I am not an expert on new string materials or technologies. 
 
4.  What any specific manufacturer calls "high (hard) tension" vs. "medium (normal) tension" may mean anything, and meets no industry or national standard.  Medium in one line might be equivalent to high in another.  I ALWAYS consider at the string diameter too, and rely on the feel to reach conclusions on my personal preferences, like everyone else.
 
5.  Of course, it is NOT the case that all the strings in a set work out to the same tension value, nor should they.  You wouldn't like them if they were the same tension value. That's widely known.
 
6.  Conclusion:  Regardless of the strings you prefer, or mix and match to taste, if you put them on a shorter scale length instrument you lower the tension, whereas on a longer scale length instrument you increase the tension, when you compare the two scenarios at the same tuning.
 
 
emory







#8218 From: Emory Villines <emoryvillines@...>
Date: Fri Nov 13, 2009 12:52 am
Subject: Re: scale length and tension
emoryvillines
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Hi Steven,  I promise that I will get around to it.  I really appreciated it, especially as it was a free gift. I love free gifts, coupons, samples, and so on.  So, I will greatly advance it on my next to-do-list revision.  I'm starting off with a good attitude about it.  It's only one string. I have no excuse for the two month delay, so far.  I'll do it by the holidays.  Thank you, Emory


From: Stephen Bright <stephen@...>
To: 10string@yahoogroups.com
Sent: Thu, November 12, 2009 2:32:26 PM
Subject: Re: [10string] scale length and tension

 

Hi Emory:


Please do let us know your thoughts on the Aranjuez C string, should you ever get around to installing it. I had them because I had heard great things about them, especially regarding having an uncanny ability to handle anything from low A and low D. I never got around to trying them myself, finding it much easier to send them to you and to wait for your opinion.

Thanks in advance,
Stephen
____________ _________ _________ ___

Stephen Bright, Classical Harp Guitar
WEB <http://www.cathedralguitar.com/>
____________ _________ _________ ___


On Nov 12, 2009, at 12:08 PM, Emory Villines wrote:

BTW, I haven't yet tried the one bass string you mailed to me for my low C.



#8217 From: "John Abrams" <wjabrams@...>
Date: Thu Nov 12, 2009 8:00 pm
Subject: String tension
fingerpickin...
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Actually the "tension" that Glen is talking about is the apparent tension to the guitarist, i.e., the ease of pushing a string from its resting position to the fingerboard.  Emory and James have only been discussing the tension between the nut (actually the peghead) and the bridge (actually the point where the string is tied.)  I'd like to see the math on the relationship between this perpendicular "tension" - the apparent difficulty in fingering the string - and a shorter string length for the same string.  Visualize a 25" string and a 1" string of the same linear tension pushed towards the fingerboard.  The 1" string will be harder to push.

#8216 From: Stephen Bright <stephen@...>
Date: Thu Nov 12, 2009 7:32 pm
Subject: Re: scale length and tension
Bright57
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Hi Emory:

Please do let us know your thoughts on the Aranjuez C string, should you ever get around to installing it. I had them because I had heard great things about them, especially regarding having an uncanny ability to handle anything from low A and low D. I never got around to trying them myself, finding it much easier to send them to you and to wait for your opinion.

Thanks in advance,
Stephen
_________________________________

Stephen Bright, Classical Harp Guitar
_________________________________


On Nov 12, 2009, at 12:08 PM, Emory Villines wrote:

BTW, I haven't yet tried the one bass string you mailed to me for my low C.


#8215 From: Emory Villines <emoryvillines@...>
Date: Thu Nov 12, 2009 6:23 pm
Subject: Re: Re: scale length and tension
emoryvillines
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OMG Glen, thank you for telling that.   I enjoyed the analogy to a bow and arrow, although in that case the scale length changes as the bow is stretched.  I put Oribe's book, in paperback, in the trash when I moved.  I don't recall what he said.  I am only on this forum and have no idea what others have discusssed. Anyhow, it appears we have some sort of consensus so far.
 
emory


From: glenboyd1 <commgb@...>
To: 10string@yahoogroups.com
Sent: Thu, November 12, 2009 1:05:28 PM
Subject: [10string] Re: scale length and tension

 

There have been discussions on this subject on other forums. One person pointed out that (as is mentioned in Oribe's book) that even though the string tension goes down when you go to a shorter scale guitar, the perceived feel can often seem more taut. This is similar to when you go from a long tight rope to a shorter one. The shorter one will yield less and feel tighter. Another example is a short string on a bow (and arrow) vs a long one. The shorter one will feel more taut.

So, even though going from a long scale guitar to a shorter one will have less string tension, it may have the effect of feeling tighter to the player. I know I have experienced this effect. It's counter-intuitive, but it's real.

Glen

--- In 10string@yahoogroup s.com, Emory Villines <emoryvillines@ ...> wrote:
>
> 1.� I am a�big fan of 664mm scale length.� Someone here (we needn't name names) previously told that placing medium tension strings intended for�a 650mm on a longer 664mm results in a final effect of those same strings becoming lower tension on the longer 664mm at the same true pitches.� That is exactly backwards.�
> �
> 2.� I have definitive responses now from two top people in the string manufacturing industry telling this:� When the same string is used on a longer scale length (between two nodes)�tuned to the same pitch as a shorter scale length, the tension on that string increases on the longer scale length.� So, medium tension strings used on a 664mm�feel more like a harder tension version of the same thing used on a 650mm.� For the same string and same tuning, tension varies as the square of the vibrating length. So a longer scale length means increased tension according to (664mm/650mm) ^2 = 1.044 or over 4.4% tension increase.� While the effect is small, it is not negligable.� Similarly a short scale length lowers the tension when compared to longer scale lengths for the same strings at the same pitch.� Alto player might confirm that.
> �
> 3.��A company like Hannabach makes their ten string set in medium tension only partially but not entirely since the standard for Madrid ten string scales�has been 660mm to 664mm in my opinion, not 650mm, (primarily due to�Jose Ramirez III, his makers,�and elsewhere Bernabe in the late 60's and 70's).� I�recognize that the majority of readers prefer the 650mm and claim it's easier to play.� I like the longer also for the controversial reason that I imagine it is slightly louder too.� Like many people, there's a long list of strings�I dislike.� I have found others that I really like.� I�am not�an expert on new string materials or technologies.�
> �
> 4.� What�any specific manufacturer calls "high (hard)�tension" vs. "medium (normal) tension"�may mean anything, and�meets no industry or national standard.� Medium in one line might be equivalent to high in another.� I ALWAYS consider at the string diameter too, and rely on the feel to reach conclusions on my personal preferences, like everyone else.
> �
> 5.� Of course, it is NOT the case that all the strings in a set work out to the same tension value, nor should they.� You wouldn't like them if they were the same tension value. That's widely known.
> �
> 6.� Conclusion:� Regardless of the strings you prefer, or mix and match to taste, if you put them on a shorter scale length instrument�you lower the tension, whereas on a longer scale length instrument you increase the tension, when you compare the two scenarios at the same tuning.
> �
> �
> emory
>



#8214 From: Emory Villines <emoryvillines@...>
Date: Thu Nov 12, 2009 6:08 pm
Subject: Re: scale length and tension
emoryvillines
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Steven, high tension on a 664 is only a bad idea on a big ten string at 664mm like my old Ramirez 1a that your friend in Chicago is using now, if it is something extreme like the yellow card Savarez, in my personal opinion. They are specifically a hard version of hard tension, assuming publish data is accurate.  I love the  bite of the textured trebs on those though, to my playing.  And they're loud and defined, without that sloppy 3rd string thing. But I NEVER use them.  I've always been concerned about the bridge pulling off.  It's only glued on, as you obviously know, and it's certainly not a piano either.  Why tempt fate? - is my philosophy concerning this choice.  What you said about the Hannabachs is exactly my premise too.  Thanks for adding to this line...  BTW, I haven't yet tried the one bass string you mailed to me for my low C.  Maybe I'll do that soon.  I am too busy being lazy now to do too more than one thing a day. Today that one thing involves the blender.
 
emo


From: Stephen Bright <stephen@...>
To: 10string@yahoogroups.com
Sent: Thu, November 12, 2009 12:29:37 PM
Subject: Re: [10string] scale length and tension

 

In my experience, 815MT Hannabachs on a Ramirez 664 have HIGHER tension than 815HT on a 650 mm guitar. 


I know that some people put HT strings on the Ramirez 664, which is probably one reason why the action is so high after 40 years. I don't know anybody who uses Super HT strings on a 650 guitar, but I think SHT/650 mm would be less tension than HT on a 664 Ramirez. In my opinion, HT/664 is a bad idea.

Stephen
____________ _________ _________ ___

Stephen Bright, Classical Harp Guitar
WEB <http://www.cathedralguitar.com/>
____________ _________ _________ ___


#8213 From: "glenboyd1" <commgb@...>
Date: Thu Nov 12, 2009 6:05 pm
Subject: Re: scale length and tension
glenboyd1
Offline Offline
Send Email Send Email
 
There have been discussions on this subject on other forums.  One person pointed
out that (as is mentioned in Oribe's book) that even though the string tension
goes down when you go to a shorter scale guitar, the perceived feel can often
seem more taut.  This is similar to when you go from a long tight rope to a
shorter one.  The shorter one will yield less and feel tighter. Another example
is a short string on a bow (and arrow) vs a long one.  The shorter one will feel
more taut.

So, even though going from a long scale guitar to a shorter one will have less
string tension, it may have the effect of feeling tighter to the player.  I know
I have experienced this effect.  It's counter-intuitive, but it's real.

Glen

--- In 10string@yahoogroups.com, Emory Villines <emoryvillines@...> wrote:
>
> 1.� I am a�big fan of 664mm scale length.� Someone here (we needn't name
names) previously told that placing medium tension strings intended for�a
650mm on a longer 664mm results in a final effect of those same strings becoming
lower tension on the longer 664mm at the same true pitches.� That is exactly
backwards.�
> �
> 2.� I have definitive responses now from two top people in the string
manufacturing industry telling this:� When the same string is used on a longer
scale length (between two nodes)�tuned to the same pitch as a shorter scale
length, the tension on that string increases on the longer scale length.� So,
medium tension strings used on a 664mm�feel more like a harder tension version
of the same thing used on a 650mm.� For the same string and same tuning,
tension varies as the square of the vibrating length. So a longer scale length
means increased tension according to (664mm/650mm)^2 = 1.044 or over 4.4%
tension increase.� While the effect is small, it is not negligable.�
Similarly a short scale length lowers the tension when compared to longer scale
lengths for the same strings at the same pitch.� Alto player might confirm
that.
> �
> 3.��A company like Hannabach makes their ten string set in medium tension
only partially but not entirely since the standard for Madrid ten string
scales�has been 660mm to 664mm in my opinion, not 650mm, (primarily due
to�Jose Ramirez III, his makers,�and elsewhere Bernabe in the late 60's and
70's).� I�recognize that the majority of readers prefer the 650mm and claim
it's easier to play.� I like the longer also for the controversial reason that
I imagine it is slightly louder too.� Like many people, there's a long list of
strings�I dislike.� I have found others that I really like.� I�am
not�an expert on new string materials or technologies.�
> �
> 4.� What�any specific manufacturer calls "high (hard)�tension" vs.
"medium (normal) tension"�may mean anything, and�meets no industry or
national standard.� Medium in one line might be equivalent to high in
another.� I ALWAYS consider at the string diameter too, and rely on the feel
to reach conclusions on my personal preferences, like everyone else.
> �
> 5.� Of course, it is NOT the case that all the strings in a set work out to
the same tension value, nor should they.� You wouldn't like them if they were
the same tension value. That's widely known.
> �
> 6.� Conclusion:� Regardless of the strings you prefer, or mix and match to
taste, if you put them on a shorter scale length instrument�you lower the
tension, whereas on a longer scale length instrument you increase the tension,
when you compare the two scenarios at the same tuning.
> �
> �
> emory
>

#8212 From: Stephen Bright <stephen@...>
Date: Thu Nov 12, 2009 5:29 pm
Subject: Re: scale length and tension
Bright57
Offline Offline
Send Email Send Email
 
In my experience, 815MT Hannabachs on a Ramirez 664 have HIGHER tension than 815HT on a 650 mm guitar. 

I know that some people put HT strings on the Ramirez 664, which is probably one reason why the action is so high after 40 years. I don't know anybody who uses Super HT strings on a 650 guitar, but I think SHT/650 mm would be less tension than HT on a 664 Ramirez. In my opinion, HT/664 is a bad idea.

Stephen
_________________________________

Stephen Bright, Classical Harp Guitar
_________________________________

#8211 From: Emory Villines <emoryvillines@...>
Date: Thu Nov 12, 2009 3:17 pm
Subject: Re: scale length and tension
emoryvillines
Offline Offline
Send Email Send Email
 
Thank you so much for adding to this topic...
 
Is the revision, James, that in the case of a guitar string, that elasticity, or possibly the first derivative of elasticity with respect to something, has some consequence ameliorating the too-easy calculation of the square of the ratios of the length?  Would that proposition not more correctly apply over great changes in compared scale lengths, such as comparing 650mm vs 6500mm, but not when comparing close values such as 664mm to 650mm?  Using one significant figure here, if the realized change in tension in not actually a 4% increase, as I proposed using certain reasonable assumptions for constants in extraneous features, such as possible contributions concerning unique peculaiarities in certain materials, then would the change in tension be 2% increase, or maybe 3% increase?  
 
Interesting idea to consulant any university book on accoustics...  I haven't done that since I am lazy and prefer to think it out and talk with people like you.  I presume that in less work than typing this, one could google it.   My undergraduate course in acoustics was in 1977 in the physics department at university.  I got an "A," and they later somehow degreed me.  My amature little course project was an analysis of the overtone series in n-dimention space.  Later, my graduate degree was not in mathematical physics or engineering.  I would never call myself a physict.  My knowledge to anything useful is zilch.

So having said all that, with the obvious proviso that I very much appreciate and respect your authority on this topic, I need to ask one thing which I am sure you know right off:  Using fundamental SI units only, what are the units each for string elasticity and string tention concerning a hypothetical string length with two fixed endpoints? Please inform.
 
One day they called together a mathematician, physicist, and engineer to solve a problem to fence in m chicken in n-dimentions using limited materials to create the maximum fence.  First they consulted with the highest priced one, the engineer, who said to build a square with n+k sides, and in the absence of other information make a square fence to start.  He said he'll supply a table of k values later. Then the physicist was called up.  He told to make the fence circular or quazi-elliptical, eliminate the corners, and give the chickens a bigger matrix to run around without corner obstructions.  And finally, the mathematician, who told them: fence me in, nevermind the chickens, and let me define myself as on the outside.  I love this joke.
 
emory
 
 


From: J R Smith <vector10@...>
To: 10string@yahoogroups.com
Sent: Thu, November 12, 2009 6:05:04 AM
Subject: Re: [10string] scale length and tension

 

Emory,

With your physics background, you will have no difficulty understanding the formula for string tension derived from the solution of the 1D wave equation satisfied by a laterally flexible string, but otherwise inelastic, attached to two rigid supports at either end, viz., 
T=dx(lxf)^2, where T is tension, d is density per unit length, l is vibrating length, and f is frequency, all quantities in some set of dynamically consistent units. Assuming tension does not change during tensioning to required pitch, ratioing this formula for two states, e.g., different lengths and different frequencies, a first approximation is obtained as to how tension changes in these circumstances. The result is as the manufacturers claimed. 
Of course, there is some longitudinal elasticity, and this can be incorporated into the change of density during the tensioning process, and the resulting quadratic equation solved for the changed tension ratio. The effect of elasticity is to ameliorate the tension rise in the case of, for example, fitting the same string designed for a 65 scale to a 66 one, say., i.e., the tension rise is not as great as predicted by the neglect of longitudinal elasticity. Reversed effects apply when fitting a string designed for a 65 scale tis fitted to a 64 or 63. 
If you are interested, any university text on acoustics will derive the vibrating string equation. 
James.         
On 12 Nov 2009, at 04:46, Emory Villines wrote:

 

1.  I am a big fan of 664mm scale length.  Someone here (we needn't name names) previously told that placing medium tension strings intended for a 650mm on a longer 664mm results in a final effect of those same strings becoming lower tension on the longer 664mm at the same true pitches.  That is exactly backwards. 
 
2.  I have definitive responses now from two top people in the string manufacturing industry telling this:  When the same string is used on a longer scale length (between two nodes) tuned to the same pitch as a shorter scale length, the tension on that string increases on the longer scale length.  So, medium tension strings used on a 664mm feel more like a harder tension version of the same thing used on a 650mm.  For the same string and same tuning, tension varies as the square of the vibrating length. So a longer scale length means increased tension according to (664mm/650mm) ^2 = 1.044 or over 4.4% tension increase.  While the effect is small, it is not negligable.  Similarly a short scale length lowers the tension when compared to longer scale lengths for the same strings at the same pitch.  Alto player might confirm that.
 
3.  A company like Hannabach makes their ten string set in medium tension only partially but not entirely since the standard for Madrid ten string scales has been 660mm to 664mm in my opinion, not 650mm, (primarily due to Jose Ramirez III, his makers, and elsewhere Bernabe in the late 60's and 70's).  I recognize that the majority of readers prefer the 650mm and claim it's easier to play.  I like the longer also for the controversial reason that I imagine it is slightly louder too.  Like many people, there's a long list of strings I dislike.  I have found others that I really like.  I am not an expert on new string materials or technologies. 
 
4.  What any specific manufacturer calls "high (hard) tension" vs. "medium (normal) tension" may mean anything, and meets no industry or national standard.  Medium in one line might be equivalent to high in another.  I ALWAYS consider at the string diameter too, and rely on the feel to reach conclusions on my personal preferences, like everyone else.
 
5.  Of course, it is NOT the case that all the strings in a set work out to the same tension value, nor should they.  You wouldn't like them if they were the same tension value. That's widely known.
 
6.  Conclusion:  Regardless of the strings you prefer, or mix and match to taste, if you put them on a shorter scale length instrument you lower the tension, whereas on a longer scale length instrument you increase the tension, when you compare the two scenarios at the same tuning.
 
 
emory





#8210 From: J R Smith <vector10@...>
Date: Thu Nov 12, 2009 11:05 am
Subject: Re: scale length and tension
tenvec
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Emory,
With your physics background, you will have no difficulty understanding the formula for string tension derived from the solution of the 1D wave equation satisfied by a laterally flexible string, but otherwise inelastic, attached to two rigid supports at either end, viz., 
T=dx(lxf)^2, where T is tension, d is density per unit length, l is vibrating length, and f is frequency, all quantities in some set of dynamically consistent units. Assuming tension does not change during tensioning to required pitch, ratioing this formula for two states, e.g., different lengths and different frequencies, a first approximation is obtained as to how tension changes in these circumstances. The result is as the manufacturers claimed. 
Of course, there is some longitudinal elasticity, and this can be incorporated into the change of density during the tensioning process, and the resulting quadratic equation solved for the changed tension ratio. The effect of elasticity is to ameliorate the tension rise in the case of, for example, fitting the same string designed for a 65 scale to a 66 one, say., i.e., the tension rise is not as great as predicted by the neglect of longitudinal elasticity. Reversed effects apply when fitting a string designed for a 65 scale tis fitted to a 64 or 63. 
If you are interested, any university text on acoustics will derive the vibrating string equation. 
James.         
On 12 Nov 2009, at 04:46, Emory Villines wrote:

 

1.  I am a big fan of 664mm scale length.  Someone here (we needn't name names) previously told that placing medium tension strings intended for a 650mm on a longer 664mm results in a final effect of those same strings becoming lower tension on the longer 664mm at the same true pitches.  That is exactly backwards. 
 
2.  I have definitive responses now from two top people in the string manufacturing industry telling this:  When the same string is used on a longer scale length (between two nodes) tuned to the same pitch as a shorter scale length, the tension on that string increases on the longer scale length.  So, medium tension strings used on a 664mm feel more like a harder tension version of the same thing used on a 650mm.  For the same string and same tuning, tension varies as the square of the vibrating length. So a longer scale length means increased tension according to (664mm/650mm)^2 = 1.044 or over 4.4% tension increase.  While the effect is small, it is not negligable.  Similarly a short scale length lowers the tension when compared to longer scale lengths for the same strings at the same pitch.  Alto player might confirm that.
 
3.  A company like Hannabach makes their ten string set in medium tension only partially but not entirely since the standard for Madrid ten string scales has been 660mm to 664mm in my opinion, not 650mm, (primarily due to Jose Ramirez III, his makers, and elsewhere Bernabe in the late 60's and 70's).  I recognize that the majority of readers prefer the 650mm and claim it's easier to play.  I like the longer also for the controversial reason that I imagine it is slightly louder too.  Like many people, there's a long list of strings I dislike.  I have found others that I really like.  I am not an expert on new string materials or technologies. 
 
4.  What any specific manufacturer calls "high (hard) tension" vs. "medium (normal) tension" may mean anything, and meets no industry or national standard.  Medium in one line might be equivalent to high in another.  I ALWAYS consider at the string diameter too, and rely on the feel to reach conclusions on my personal preferences, like everyone else.
 
5.  Of course, it is NOT the case that all the strings in a set work out to the same tension value, nor should they.  You wouldn't like them if they were the same tension value. That's widely known.
 
6.  Conclusion:  Regardless of the strings you prefer, or mix and match to taste, if you put them on a shorter scale length instrument you lower the tension, whereas on a longer scale length instrument you increase the tension, when you compare the two scenarios at the same tuning.
 
 
emory




#8209 From: Emory Villines <emoryvillines@...>
Date: Thu Nov 12, 2009 4:46 am
Subject: scale length and tension
emoryvillines
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1.  I am a big fan of 664mm scale length.  Someone here (we needn't name names) previously told that placing medium tension strings intended for a 650mm on a longer 664mm results in a final effect of those same strings becoming lower tension on the longer 664mm at the same true pitches.  That is exactly backwards. 
 
2.  I have definitive responses now from two top people in the string manufacturing industry telling this:  When the same string is used on a longer scale length (between two nodes) tuned to the same pitch as a shorter scale length, the tension on that string increases on the longer scale length.  So, medium tension strings used on a 664mm feel more like a harder tension version of the same thing used on a 650mm.  For the same string and same tuning, tension varies as the square of the vibrating length. So a longer scale length means increased tension according to (664mm/650mm)^2 = 1.044 or over 4.4% tension increase.  While the effect is small, it is not negligable.  Similarly a short scale length lowers the tension when compared to longer scale lengths for the same strings at the same pitch.  Alto player might confirm that.
 
3.  A company like Hannabach makes their ten string set in medium tension only partially but not entirely since the standard for Madrid ten string scales has been 660mm to 664mm in my opinion, not 650mm, (primarily due to Jose Ramirez III, his makers, and elsewhere Bernabe in the late 60's and 70's).  I recognize that the majority of readers prefer the 650mm and claim it's easier to play.  I like the longer also for the controversial reason that I imagine it is slightly louder too.  Like many people, there's a long list of strings I dislike.  I have found others that I really like.  I am not an expert on new string materials or technologies. 
 
4.  What any specific manufacturer calls "high (hard) tension" vs. "medium (normal) tension" may mean anything, and meets no industry or national standard.  Medium in one line might be equivalent to high in another.  I ALWAYS consider at the string diameter too, and rely on the feel to reach conclusions on my personal preferences, like everyone else.
 
5.  Of course, it is NOT the case that all the strings in a set work out to the same tension value, nor should they.  You wouldn't like them if they were the same tension value. That's widely known.
 
6.  Conclusion:  Regardless of the strings you prefer, or mix and match to taste, if you put them on a shorter scale length instrument you lower the tension, whereas on a longer scale length instrument you increase the tension, when you compare the two scenarios at the same tuning.
 
 
emory


#8208 From: "Neris" <firuberto@...>
Date: Tue Nov 10, 2009 8:26 pm
Subject: Last Bartolex SRS10 (old stock) on sale...
firuberto
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Hi guys.
This is the last NOS SRS10 I have available.
If anyone is interested let me know.
Thanks.

http://cgi.ebay.com/ws/eBayISAPI.dll?ViewItem&item=320447155643

Neris Gonzalez
www.Bartolex.com

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