Hard to answer that without going into the details of string acoustics,
however there is plenty on the web (and some good books) that cover the
subject.  Here is my humble simplification-

.         Any even, well made string will vibrate at several frequencies at
one time when excited. This is why different material strings sound
differently when tuned to the same note - the strings are producing roughly
the same set of frequencies but in different amounts which makes them have
different timbre. 

.         This set of frequencies is usually a "harmonic series" based on
the fundamental vibration of the string (see
http://en.wikipedia.org/wiki/Harmonic_series_(music)).  The harmonic series
of a sympathetic string tuned to c includes the notes c, c' (octave of c),
g', c'', e'' g'', etc. 

.         This means that a sympathetic string tuned to c can sound when
excited by a tone at any of those frequencies.

.         The power of a harmonic usually drops off as the frequency goes
up, so you may not be able to hear some of the higher harmonics.

.         Thinner strings resonate at higher harmonics more easily than
thick strings.

 

To answer your question,  this means that two strings tuned an octave apart
will resonate at slightly different notes.

I imagine that the tuning of other harmonics is chosen in order to fill in
the set of other possible resonances.  Because of this you don't need a
string for every note, assuming that you have selected your sympathetic
tuning to match your instruments key.

-Hope that helps more than it confuses!

--Norm

 

 

From: [email protected] [mailto:[email protected]] On
Behalf Of Augusto de Ornellas Abreu
Sent: Wednesday, February 08, 2012 6:38 PM
To: [email protected]
Subject: Re: [HG-new] Tuning sympathetics

 

What is the point of having sympathetic strings tuned to a same note, but on
different octaves? Won't they vibrate sympathetically the same way?? Isn't
this how they are supposed to work, why tuning them to different octaves?

On Thu, Feb 9, 2012 at 12:27 AM, Rob <[email protected]> wrote:

Hi!

This is from Mel Dorries (sent to me off list): "We do rather like
sympathetic strings around here for the fullness of tone and overtone they
introduce to an instrument.  We set ours up on the Maestro to accent the
most common notes like g, d, c, a, b flat, e flat with a sat least 2 -3
strings for g, d, and c in different octives. Much is personal preferance
and accomodation to the key one wants to play in primarily."





    PEACE!

 Rob Cherwink

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On Feb 8, 2012, at 4:24 PM, Felicia Dale wrote:

Thank you all for your very helpful suggestions! I really appreciate all the
input and I look forward to try tuning my sympathetics this evening.

Felicia.

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