Continued writting EM essay

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\footnotetext{Diagram taken from:
\url{http://www.mediacollege.com/audio/howto/feedback.html}}
This is a common problem in the context of live audio, as the
exponential nature of the feedback causes a distinct "howling" sound
that builds rapidly and is commonly considered unplesant. As a result,
a great deal of research has been carried out into methods for
attenuating and controlling this effect.~\parencite[p.1]{}
However, the volatile and unpredictable nature of acoustic feedback has
been used to great effect in both popular and avant-garde music.
Pioneering guitarists such as Jimi Hendrix have used the loop created
through placing an electric guitar pickup close to it's amplifier to
compliment virtuosic guitar solos in pieces such as Foxy Lady~\citeyearpar{}
This is taken one step further in works such as Steve Reich's Pendulum
Music, where feedback becomes the focus of the piece entirely. This is
discussed further in section~\ref{wolfman}
This is a common problem in the context of live audio, as the exponential
nature of the feedback causes a distinct "howling" sound that builds
rapidly and is commonly considered unplesant. As a result, a great deal of
research has been carried out into methods for attenuating and controlling
this effect.~\parencite[p.1]{} However, the volatile and unpredictable
nature of acoustic feedback has been used to great effect in both popular
and avant-garde music. Pioneering guitarists such as Jimi Hendrix have
used the loop created through placing an electric guitar pickup close to
it's amplifier to compliment virtuosic guitar solos in pieces such as Foxy
Lady~\citeyearpar{} This is taken one step further in avante-garde works
such as Steve Reich's Pendulum Music, where feedback becomes the focus of
the piece entirely. This is discussed further in section~\ref{pendulum}
\subsection{Electronic Feedback}
Electronic feedback takes the principal of recursively feeding an output
back into an input into the analog electronics domain. In this situation,
the recursive processing is performed purely on electrical signals,
replacing the initial acoustic input from the microphone found in acoustic
feedback, with a purely electronic input as part of an electronic circuit.
The result of this process is then produced in the listening space via
amplification~\parencite[p.187]{holmes2012eaem}. Composers such as David
Tudor and Gordon Mumma explore these techniques through their creation and
use of custom electronic circuits designed to exploit the characteristics
of this effect.~\parencite[p.186, 390]{holmes2012eaem} A detailed analysis
of these techniques are presented in section~\ref{ElecFeed}\\
Although it is outside the scope of this essay, it is worth noting that
delay feedback forms the basis for electronic IIR filtering, both in the
analog and digital domain, and by extension is an integral part of almost
any composition that utilises audio
filters/equalizers.~\parencite[p.71-72]{zolzer2011dafx} This is an example
of how the precice control of electronic feedback can lead to a plethora of
creative musical possibilities.
\subsection{Amplification}
It has been stated that feedback (particularly audio feedback) is difficult
to control. This is due to it's recursive nature.
\subsection{Mathmatical Feedback}
Rational Melody XXI - Tom Johnson
Not electronic feedback, but serves as an example that feedback is not
limited to electronics.
IIR filter example?
\subsection{Amplification}
\section{Musical Aspects and Implications of Feedback Systems}
\subsection{Indeterminacy}
@@ -130,11 +152,11 @@
\section{Composition Analysis}
\subsection{Acoustic Feedback}
\subsubsection{Steve Reich's Pendulum Music}
\subsubsection{Steve Reich's Pendulum Music}\label{pendulum}
\subsubsection{Robert Ashley's The Wolfman}\label{wolfman}
- ref: kyle gann - robert ashley
\subsection{Electronic Feedback}
\subsection{Electronic Feedback}\label{ElecFeed}
David Tutor's Untitled (1996), Toneburst (2004), and Pulsers (1996)
Gordon Mumma's Hornpipe
@@ -142,6 +164,8 @@
John Cage's Cartridge Music
Stockhausen's Mikrophonie
\section{Conclusion}
\printbibliography
\end{document}