String Question

[jolly roger]

Hi Clark,
              With regards to two wires of different size on the same note,
the beat is caused by the difference in inharmonicity of the two wires, and
not due to falseness.

Example:
G5 at 2.5" in length.

SWG  15.5 or .036"       String tension= 165.56Lbs  IH of 2nd partial 5.49
Cents  % of tensile strength 57.091
SWG   16   or .037"       String tension= 174.89Lbs  IH of 2nd partial 5.80
Cents  % of tensile strength 56.968

The 1/3rd of a cent of the second partial difference  will certainly give
you a slow beat on the unison.
There will be differences through out the whole harmonic series, making
matters worse.   But I think this illustrates the point.

Before some one nit picks, on IH calculations, I just grabbed the figures
from the Donelson set of tables.  If you use the Travis formulas ithere
will be a slight difference.  But never the less the difference will be
similar.

More trivia.

Roger


At 10:35 AM 9/27/01 -0100, you wrote:
>> a real beat in the harmonics which become enharmonic because of the
>> difference in inharmonicity between two wires of different diameters.
>
>Enharmonic's about note names and pitches, ancient genera and such.
>
>There will be greater deviation of partials in octaves if the same wire
>size is employed. I think it's usual for the coefficient of
>inharmonicity to double in octaves up the scale - for one wire size, it
>may quadruple.
>
>I think of false beats as a phenomenon of single strings - bridge pins,
>kinks, defects in material or execution. False being more like to false
>strings than non-real beats.
>
>
>Clark
>