ETD question re: unisons

Robert Scott rscott@wwnet.net
Thu, 15 Feb 2001 09:53:31 -0500


The theory that pitch drops when several strings of a unison sound
together because of lowering impedance at the bridge makes sense
to me, but let's follow that theory to its logical conclusion.

When the note is first struck, all three strings are in phase.  They are
going up at the same time and going down at the same time.  While
they are doing this, their combined efforts make the bridge appear
to be easier to move because they are all pushing and pulling
together.  That makes the termination point on the bridge appear
to be a little beyond the physical termination point, so the pitch
becomes lower.

But the relative tuning of the three strings may not be perfect.
Some time before the sustain dies out, it is quite likely that
one string will get a little ahead of or behind another.  They will
no longer the pushing and pulling together.  In fact, there may be
times when two strings are acting in direct opposition. At such
times the bridge will appear to be stiffer than normal and the pitch
should actually rise above what it was for a single string.
Whether this effect can actually be observed depends of how long
the note sustains.  But if two strings differ in tuning by 1/4 beat
per second (at the partial being measured) then there should be a
pitch drop for the first two seconds and then a pitch rise for the
next two seconds.

-Robert Scott
  Ypsilanti, Michigan



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