Banjo timbre from string stretching and frequency modulation
David Politzer
California Institute of Technology
(Dated: June 20, 2014)
The geometry of a floating bridge
on a drumhead soundboard
produces string stretching
that is first order
in the amplitude of the bridge motion.
This stretching modulates the string tension
and consequently modulates
string frequencies at acoustic frequencies.
Early work in electronic sound synthesis
identified such modulation
as a source of bell-like and metallic timbre.
And increasing string stretching
by adjusting banjo string-tailpiece-head geometry
enhances characteristic banjo tone.
Hence, this mechanism
is likely a significant source
of the ring, ping, clang, and plunk
common to the family of instruments
that share floating-bridge/drumhead construction.
________
Who is David Politzer
Born 31 August 1949, is an American theoretical physicist
who shared the 2004 Nobel Prize in Physics with David Gross and Frank Wilczek
for their discovery of asymptotic freedom in quantum chromodynamics.
Politzer was born in New York City.
His parents, Alan and Valerie Politzer,
immigrated to the U.S. after World War II and were both doctors.
He graduated from the Bronx High School of Science in 1966,
received his bachelor's degree from the University of Michigan in 1969,
and his PhD in 1974 from Harvard University,
where his graduate advisor was Sidney Coleman.
In his first published article, which appeared in 1973,
Politzer described the phenomenon of asymptotic freedom:
the closer quarks are to each other,
the weaker the strong interaction will be between them.
When quarks are in extreme proximity,
the nuclear force between them is so weak
that they behave almost like free particles.
This result—independently discovered
at around the same time by Gross and Wilczek
at Princeton University—was extremely important
in the development of quantum chromodynamics.
With Thomas Appelquist,
Politzer also played a central role
in predicting the existence of "charmonium",
a subatomic particle formed
of a charm quark and a charm antiquark.
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