Dear Stephan, I personally prefer to use the following formula if precision in calculations of string parameters is necessary ( with metal strings in particularly):
F = 5588 x square root of (T / d ) / L x D where F is the frequency in Hz (cycles per second), T is the string tension in kg, d is the density of the string material (in grams per cubic cm), L is the string length in cm, D is the diameter of the string in mm. You can obviously resolve this formula against any particular parameter that you need to determine. Checked with this formula for gut strings (d = 1.3 gs/cc) my Pyramid lute string "slide" calculator gives reasonably close results ):-) Hope this helps, Alexander www.vihuelademano.com ----- Original Message ----- From: "Stephan Olbertz" <[EMAIL PROTECTED]> To: <[EMAIL PROTECTED]> Sent: Saturday, December 20, 2003 10:17 PM Subject: lutistic mathematics > Dear all, > > I'm in the process of calculating different options for a set > of gut strings. It seems clear that people favour quite a > diversity of set-ups like equal tension, slowly decreasing > tension, general high or low tension, higher tension for long > stringlength etc. What I cannot understand is that three > different calculators I use give different tensions for the > same string length, diameter and density. I am sort of > mathematically challenged and am glad that there are kind > souls with knowledge that do this formula stuff for us. But - > the figures should match, shouldn't they? I had the same > experience with setting up 1/6 comma meantone, where I ended > up with four different calculations. How is this possible? I > thought mathematics is an exact science...>sigh< > > Regards, > > Stephan > > > > To get on or off this list see list information at > http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
