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Actually... grin... JD's post stopped me up and I broke out my handy
dandy spreadsheet and find he is right, and my last post in which I
stated <br>
<blockquote>
<pre>"As for your two different strings below... of COURSE a similar change
in length will affect differently two dissimilar strings that were
originally tuned to the same pitch."
</pre>
</blockquote>
is wrong.<br>
<br>
Take for example the two following strings. <br>
1: 9 mm Ø, 100 mm long speaking length, 50 mm back length, and
192.3750 lbs <br>
2: 8 mm Ø, 100 mm long speaking length, 50 mm back length, and 152 lbs<br>
<br>
Both yeild starting pitch undeflected at 2070,6484 hz and both if
deflected 1 mm upwards at the <<bridge>> will have their
pitch altered to 2104,7860 hz.<br>
<br>
Thanks JD. Spoke to fast in my last.<br>
<br>
Cheers<br>
RicB<br>
<pre>
</pre>
<blockquote>
<blockquote><br>
At 10:11 am -0700 10/6/07, David Love wrote:<br>
<br>
>Sorry, but itÕs not quite a complete enough formula for purposes of
<br>
>this discussion. When comparing two strings that produce the same <br>
>pitch but with different tensions, either the original length will <br>
>be different or the diameter will be different (or both), thus a <br>
>similar change in length will yield a different change in tension <br>
>and thus pitch.<br>
</blockquote>
<br>
If this were so, then the whole basis upon which musical instruments <br>
are designed would crumble. When you halve the length of a vibrating <br>
string, no matter how much strain is on it etc., you double the <br>
frequency, and if you stop two unison strings of identical length but <br>
of different mass, and thus tension, at the same point, you will make <br>
precisely the same change in their frequency and they will still <br>
sound in unison. If this were not so it would be impossible to play <br>
a guitar in tune unless the tension of all six strings were identical.<br>
<br>
According to Wolfenden, if the temperature changes, and one of the <br>
strings is well below its yield point whereas the second is close the <br>
yield point, then the strings will produce a beat because the less <br>
strained string is more sensitive to the change in temperature. This <br>
is easy enough to verify by a simple experiment, which I shall do in <br>
the next few weeks once the new workshop is up and running.<br>
<br>
JD</blockquote>
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