Barry said "If only pipes were so simple" The formula for strings:
f = (1/2L) * sqrt (T/mu) neglects all sorts of effects, such as the bow or the finger, the rigidity of the string, the speed of tension waves in the string, etc. And we haven't thought of the motion of the fiddle's bridge and body yet. Similarly, the analogous formula for a one-open-ended pipe: f = (1/4L) * sqrt (gamma P/rho) neglects the effects of the reed at the 'closed' end or the hole at the other. Or the bore, or the 'dead' bore below the open hole, the vibration of the wood, etc... Acoustics is hard but the approximations are easy, and *fairly* good. John -----Original Message----- From: [email protected] [mailto:[email protected]] On Behalf Of Barry Say Sent: 10 February 2010 12:38 To: NSP group Cc: Francis Wood; tim rolls BT Subject: [NSP] Re: NSP duet with other instruments Francis Wood wrote: >> Also is pitch purely dependent on tension? > The danger with such a question is that one might receive a full and > comprehensive answer, which in such cases is usually to be regretted! > > > This is one case where I think the answer is simpler than one might expect. Quoting from http://en.wikipedia.org/wiki/Vibrating_string f = (1/2L) * sqrt (T/mu) L is the length Double the length and you halve the frequency T is the tension. You need to raise the tension fourfold to double the frequency mu mass per unit length. Four times the mass (weight) and you half the frequency SimpleS. If you start talking harmonics and tones it then does get an awful lot more complicated. (Oh my poor head). If only pipes were so simple Barry To get on or off this list see list information at http://www.cs.dartmouth.edu/~wbc/lute-admin/index.html
