I have to say, I'm always amused by these discussions that broadly
   outline the imprint of theoretical measurements on the phenomenon of
   sound.  If we look at all the factors, including thickness and
   stiffness of string material, variability in trueness of dimension,
   interference of temperature and humidity (and probably barometric
   pressure) on the transmission of sound, proximate acoustical
   deflections, damping caused by skin oils, distortion caused by finger
   pressure, variability caused by thickness of fret material, wave
   interference from nut, bridge, soundboard materials, etc.  Then there
   is the phenomenon that different ears hear the pitch differently. Where
   do we stop? I say train your ears and tune to the best of your ability.
   RA
   > Date: Mon, 25 Jun 2012 13:24:40 +0100
   > To: lute@cs.dartmouth.edu
   > From: akbut...@tiscali.co.uk
   > Subject: [LUTE] Re: Tuning
   >
   > with apologies to those who aren't interested ;-)
   >
   > For a plucked instrument the finger on the node is removed from the
   string just after the pluck. (otherwise the sound is damped)
   >
   > Indeed, having sharp harmonics is a property of all strings outside
   the physics lesson, as any piano tuner knows.
   >
   > Also, if you use an oscilloscope to view the waveform, and hit the
   harmonic partially so that some of the fundamental also sounds, you can
   see the waveform of the harmonic moving against that of the
   fundamental.
   >
   > For a bowed instrument, I suspect the harmonics are in tune as long
   as the bow is driving the string.
   >
   > andy
   >
   > Philip Brown wrote:
   > > That may be true, but a more obvious cause would be that the total
   > > length of vibrating string is reduced by the width of the area of
   > > contact of the finger.
   > >
   > > Cheers
   > >
   > > Philip Brown
   > >
   > > On Mon, Jun 25, 2012 at 9:00 AM, <willsam...@yahoo.co.uk> wrote:
   > >> They would be for a perfectly thin flexible string - but string
   stiffness sharpens the higher harmonics.
   > >> Bill
   >
   > >> On 25 June 2012 09:39, andy butler <akbut...@tiscali.co.uk> wrote:
   > >>> Harmonics on a plucked string are a little bit sharp,
   > >> Isn't it the case that harmonics are pure by definition?
   > >>
   > >> David
   > >>
   >
   >
   >
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