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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
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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>
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