Never you mind, David, your equasions came through loud and clear the
first time (you sent it to me personally as well as to the lutelist).
But you know .... head nor tail ... let's just say my mathematic powers
are limited. This is how I came to grips with the workings of string
tension:
[1]http://home.kpn.nl/ooije006/david/writings/stringtension_f.html
David
*******************************
David van Ooijen
[2]davidvanooi...@gmail.com
[3]www.davidvanooijen.nl
*******************************
On 27 December 2013 19:27, David Smith <[4]d...@dolcesfogato.com> wrote:
I give up. Attachments do not come through. Formatted text does not
come
through. If you care send me an email and I will send you the PDF.
Sigh...
David
-----Original Message-----
From: [5]lute-...@cs.dartmouth.edu
[mailto:[6]lute-...@cs.dartmouth.edu] On Behalf
Of David Smith
Sent: Friday, December 27, 2013 10:16 AM
To: Lute List
Subject: [LUTE] Re: Question on String Tension
------=_NextPart_001_0002_01CF02EC.9664CE80
Content-Type: text/plain;
charset="us-ascii"
Content-Transfer-Encoding: 7bit
Merry Post Christmas. I finally had some time to work through the math
(beat
Mathematica into submission) for the string tension and do a plot.
Quite
instructive.
I have included the math and a chart in the attached PDF since sending
equations and charts through email does not work.
So, higher tension strings will reduce the sensitivity. But not by a
lot (if
we keep to a reasonable range). The bottom line is that the 11th course
of a
baroque lute at this string length using gut is just a pain to tune
based on
its elasticity. The only reasonable choices are to provide a better
tuning
mechanism such as the planetary gear tuners or change the elasticity of
the
string.
Anyway, thanks for your patience as I work through this. It has been
fun and
now I think I understand what is happening.
Regards
David
------=_NextPart_001_0002_01CF02EC.9664CE80
Content-Type: text/html;
charset="us-ascii"
Content-Transfer-Encoding: quoted-printable
<html xmlns:v="urn:schemas-microsoft-com:vml"
xmlns:o="urn:schemas-microsoft-com:office:office"
xmlns:w="urn:schemas-microsoft-com:office:word"
xmlns:m="[7]http://schemas.microsoft.com/office/2004/12/omml";
xmlns="[8]http://www.w3.org/TR/REC-html40";><head><meta
http-equiv=Content-Type
content="text/html; charset=us-ascii"><meta name=Generator
content="Microsoft Word 15 (filtered medium)"><!--[if !mso]><style>v\:*
{behavior:url(#default#VML);}
o\:* {behavior:url(#default#VML);}
w\:* {behavior:url(#default#VML);}
.shape {behavior:url(#default#VML);}
</style><![endif]--><style><!--
/* Font Definitions */
@font-face
{font-family:"Cambria Math";
panose-1:2 4 5 3 5 4 6 3 2 4;}
@font-face
{font-family:Calibri;
panose-1:2 15 5 2 2 2 4 3 2 4;}
/* Style Definitions */
p.MsoNormal, li.MsoNormal, div.MsoNormal
{margin:0in;
margin-bottom:.0001pt;
font-size:11.0pt;
font-family:"Calibri","sans-serif";}
a:link, span.MsoHyperlink
{mso-style-priority:99;
color:#0563C1;
text-decoration:underline;}
a:visited, span.MsoHyperlinkFollowed
{mso-style-priority:99;
color:#954F72;
text-decoration:underline;}
p.MsoPlainText, li.MsoPlainText, div.MsoPlainText
{mso-style-priority:99;
mso-style-link:"Plain Text Char";
margin:0in;
margin-bottom:.0001pt;
font-size:11.0pt;
font-family:"Calibri","sans-serif";}
span.EmailStyle17
{mso-style-type:personal-compose;
font-family:"Calibri","sans-serif";
color:windowtext;}
span.PlainTextChar
{mso-style-name:"Plain Text Char";
mso-style-priority:99;
mso-style-link:"Plain Text";
font-family:"Calibri","sans-serif";}
.MsoChpDefault
{mso-style-type:export-only;
font-family:"Calibri","sans-serif";}
@page WordSection1
{size:8.5in 11.0in;
margin:1.0in 1.0in 1.0in 1.0in;}
div.WordSection1
{page:WordSection1;}
--></style><!--[if gte mso 9]><xml>
<o:shapedefaults v:ext="edit" spidmax="1026" />
</xml><![endif]--><!--[if
gte mso 9]><xml> <o:shapelayout v:ext="edit"> <o:idmap v:ext="edit"
data="1"
/> </o:shapelayout></xml><![endif]--></head><body lang=EN-US
link="#0563C1"
vlink="#954F72"><div class=WordSection1><p class=MsoPlainText>Merry
Post
Christmas. I finally had some time to work through the math (beat
Mathematica into submission) for the string tension and do a plot.
Quite
instructive.<o:p></o:p></p><p
class=MsoPlainText><o:p> </o:p></p><p
class=MsoPlainText>I have included the math and a chart in the attached
PDF
since sending equations and charts through email does not
work.<o:p></o:p></p><p class=MsoPlainText><o:p> </o:p></p><p
class=MsoPlainText><a name="_MailEndCompose">So, higher tension strings
will
reduce the sensitivity. But not by a lot (if we keep to a reasonable
range).
The bottom line is that the 11<sup>th</sup> course of a baroque lute at
this
string length using gut is just a pain to tune based on its elasticity.
The
only reasonable choices are to provide a better tuning mechanism such
as the
planetary gear tuners or change the elasticity !
of the string.</a><o:p></o:p></p><p
class=MsoPlainText><o:p> </o:p></p><p class=MsoPlainText>Anyway,
thanks
for your patience as I work through this. It has been fun and now I
think I
understand what is happening.<o:p></o:p></p><p
class=MsoPlainText><o:p> </o:p></p><p
class=MsoPlainText>Regards<o:p></o:p></p><p
class=MsoPlainText>David<o:p></o:p></p><p
class=MsoPlainText><o:p> </o:p></p></div></body></html>
------=_NextPart_001_0002_01CF02EC.9664CE80--
--
To get on or off this list see list information at
[9]http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
--
References
1. http://home.kpn.nl/ooije006/david/writings/stringtension_f.html
2. mailto:davidvanooi...@gmail.com
3. http://www.davidvanooijen.nl/
4. mailto:d...@dolcesfogato.com
5. mailto:lute-...@cs.dartmouth.edu
6. mailto:lute-...@cs.dartmouth.edu
7. http://schemas.microsoft.com/office/2004/12/omml
8. http://www.w3.org/TR/REC-html40
9. http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
