Thanks, Curt.  Your central argument -- that the number of oscillations
per second is unaltered by the medium through which the sound travels --
is entirely the correct one.

Curt Austin <[email protected]> wrote:

   William:
   
   But saying the wavelength changes is not the same as saying the
   frequency changes. The wavelength changes as the medium changes so as
   to keep the frequency constant. The formula you are referencing gives
   the relationship between the two.
   
   Think of it this way: if 100 oscillations enter into a medium in one
   second, they will all exit the medium in one second. If fewer
   oscillations exited, and the sound was continuous, you'd have
   oscillations accumulating inside - eventually, there would be a loud
   bang. If more exited in one second, yikes, that might be even worse.
   
But the following has nothing whatever to do with anything.  It is not
necessary to introduce dolphins into the argument.

If I take a full lung on helium and sing, the helium will greatly raise
the pitch eitted by my vocal machinery.  But whether the medium between
me and the listener is helium, air, water, or cream cheese has no
additional effect on the frequency.  It may have effect on how long I
can keep going before death intervenes.

Hans apparently both agrees and disagrees:

   But how should this affect the intonation ? 440 remains 440, no matter
   what kind of curtain or deco they use on stage.

   But the distance effects  (lowers) the intonation of a given pitch. We all
   learned that in school (classic gymnasium, physics classes) which seem to 
   be abandoned in a greater percentage of schools.

This claim about "distant effects" is nothing more than argument by
authority.  The schools in Hans' country (like schools pretty much
everywhere) have from time to time taught things that are patently
false.  I would expect Hans, if he was actually taught this, to be able
to explain the mechanisms of physics by which it is true, and not just
parrot back that too many of us are uneducated.  I shall await Hans to
explain the physics.

While we wait, let's try to move the discussion along:

There have been two not-quite-equivalent terms used on this thread.
Under usual interpretation, "frequency" is simply vibrations per second,
but "pitch" is the tone-height perceived by a human.  These are mostly
the same for continuous sounds (although there are subtle effects of
volume) but are often very different for percussive ("decaying") tibres.
Percussion instruments such as the piano, especially in the low range,
are quite inharmonic.  A human (including those humans who are piano
tuners) perceive a very different pitch than the frequency of the lowest
pseudo-harmonic of the vibrating piano string.

This is not of immediate interest in our discussion of distant, offstage
instruments, which are generally playing essentially continuous harmonic
tones.  Hans' suggested sharpening of the main tuning slide by 1/4 inch
would correspond to a sharpening of about 6 cents (on F horn).  I don't
discount that there might be some other _perceptual_ effect of distance
that would cause this sharpening to feel correct from the stage.  But if
Hans remembers what he was taught in Gymnasium Physics, he ought be able
to explain the effect.

Here's an experiment that would illuminate, if anyone (especially Hans
or Bob, both of whose intonation we can trust and who believe in this
offstage effect) were in position to execute it.

Place a player offstage, adjusting the intonation as he believes
necessary.  Place another player on stage, siilar instrument, playing at
normal pitch.  Have these two performers alternatively play the same
note, such that the on stage player and an independent observer feel
that they are compatible.

Then have them play these same notes together.  Will there be beats?

If there is some reason that we perceive a note played at distance lower
than its frequency, there will be beats.  If this offstage-sounds-flat
theory is simply incorrect, there will be no beats.
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