Jeff, fascinating stuff, not what I would have expected, but also not
a result consistent with the science of sound as I know it.  How can
the overtones drop in pitch and not in amplitude when you record
yourself from the next room?  It makes sense to me that our
psycho-acoustic _perception_ could be that the pitch is lower because
of the change in amplitude of the overtones - what is the explanation
for the change in _frequency_ of those overtones?

If I read your numbers correctly, didn't you measure both a lower
frequency for the peak of each overtone _and_ a diminished amplitude
for those same peaks?

-S-

On Wed, Jun 1, 2011 at 4:16 PM, Jeffrey S Barker <[email protected]> wrote:
> I have found this discussion most interesting.  Empirically (well known to
> experts) pitch is lowered with distance even though theoretically
> (simplistically, certainly) it should remain constant.  I tried a simple
> experiment to test this.  I recorded myself playing an open C (third space,
> or C'') on the F horn at close distance (about 2 meters) and in a different
> room (about 8 meters from the recorder).  I used a Zoom H2 with mic level
> set to medium and record level of 100, recorded to wav format, then analyzed
> the power spectrum in Audacity.  The result is that the main spectral peak
> for my C (concert F4, 353 Hz, according to Audacity) did not change, but
> every higher overtone peak was about 5-10 cents flat.  The relative
> amplitude of these higher overtone peaks was not significantly changed even
> though I thought I could hear a difference in tone between near and far
> recordings.  So, theoreticians, you are correct when referring to the
> lowest, largest peak that defines the frequency of the note being played,
> but you experts are also right when all of the overtones are taken into
> consideration.  It does seem that our perception of pitch is sensitive to
> these.
>
> Here are my results:
>
> Overtone frequencies and amplitudes as reported in the Spectra window of
> Audacity:
>
>          Near (2m):               Far (8m):         Difference:    Cents:
>
> F4       353 Hz 3.6dB        353Hz -16.9dB        0Hz             0
>
> F5       707 Hz 5.3dB       704Hz -10.0dB       -3Hz         -7.4
>
> C6     1061Hz -10.4dB    1057Hz -13.8dB      -4Hz          -6.5
>
> F6     1415Hz -11.1dB    1408Hz -20.7dB      -6Hz          -8.6
>
> A6     1765Hz -26.2dB    1760Hz -23.7dB      -5Hz          -4.9
>
> C7     2122Hz -22.5dB    2116Hz -42.0dB      -6Hz          -4.9
>
> D#7   2471Hz -35.5dB    2467Hz -41.5dB      -4Hz          -2.8
>
> F7     2829Hz -29.5dB    2814Hz -48.7dB     -15Hz         -9.2
>
> G7    3187Hz -41.1dB    3169Hz -41.1dB     -18Hz         -9.8
>
> A7    3533Hz -45.8dB    3521Hz -46.3dB     -12Hz         -5.9
>
> A#7  3895Hz -45.5dB    3874Hz -53.9dB     -21Hz         -9.0
>
> C8   4250Hz -43.6dB    4228Hz -59.4dB      -22Hz         -9.0
>
> D8   4597Hz -46.8dB    4580Hz -54.7dB     -17Hz          -6.4
>
> D#8 4954Hz -55.0dB    4931Hz -59.4dB     -23Hz          -8.1
>
> E8   5312Hz -61.0dB    5278Hz -64.3dB    -35Hz         -11.1
>
> F8   5668Hz -59.8dB    5641Hz -69.9dB    -27Hz          -8.3
>
> --
> Jeffrey S. Barker
> Assoc. Prof. of Geophysics, Binghamton University
> Faculty Master, Dickinson Community
> (607) 777-2522 (Geology)  (607) 777-2826 (Dickinson)
> http://bingweb.binghamton.edu/~jbarker/
> _______________________________________________
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