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: [email protected] [mailto:[email protected]] 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="http://schemas.microsoft.com/office/2004/12/omml"; xmlns="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 http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
