David, according to Pythagoras, When the tension on a string remains the same but the length L is varied, the period of the vibration is proportional to L.
According to Mersenne - When the length of a string is held constant but the tension T is varied, the frequency of oscillation is proportional to sqrt(T). When the string is pressed down to a fret, both its' length and its' tension are increased. Increase in length produces more effect, as the effect of tension is square-rooted. At the low low octave, from G (98 Hz) to A (110 Hz) are just 12 (twelve) notches (or however one would like to describe the little Herzes) At the next octave up, from G (196 Hz) to A (220 Hz) are 24 notches When we consider, that the length of the string (since we use the same instrument, just drop or raise the pitch of the string in question) will increase by the same value, let's call it a "6", That "6" in the low low octave will increase the Frequency almost by a half tone, while in one octave up - just by a quarter. Therefore the string deformation of a low tension string at the lower pitch will change that pitch noticeably much more then at any higher pitch. alexander r. On Thu, 19 Dec 2013 21:17:49 -0800 "David Smith" <[email protected]> wrote: > Thanks. I really appreciate the feedback. If Alexander gets a chance to post > his formulas that would be great. I think I will continue to live with it > since I have for many months so far. > > Regards > David > To get on or off this list see list information at http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
