Wow! Nice work.
Do you have any screen shots of the Fourier analysis?

On Jan 2, 2009, at 7:01 AM, Herbert Ward wrote:

Using computerized Fourier analysis, I measured spectra
of lute sound, using all strings in courses 1-6, plucked
with good tone.

Several unexpected features cropped up.

1. The pitch of a harmonic often shifts over the duration
of the note, up to 10 cents.

2. The volumes of the harmonics often change relative
to each other.  Sometimes this can be a strong and
surprising effect, as when the fundamental is basically
absent during the initial 0.3 second, and then assumes
dominance over the harmonics as the note dies away.

3. The harmonics' pitches are not consistent with each other,
especially during the initial 0.3 second.  For example,
the fundamental can be at -4 cents, and the first harmonic
(an octave above the fundamental) can be at +4 cents.

These observations provide an ample hypothesis for tuner
instability, but unfortunately suggest no solution.



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Ed Durbrow
Saitama, Japan
edurb...@sea.plala.or.jp
http://www9.plala.or.jp/edurbrow/



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