finished section on acoustic feedback definition
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\item{Electronic Feedback}
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\item{Mathmatical Feedback}
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\end{itemize}
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In order to fully understand feedback, electronic amplification will also
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be explored due to it's integral part in feedback system control.
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\subsection{Acoustic Feedback}
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\subsection{Electronic Feedback}
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\subsection{Mathmatical FeedbacK}
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Rational Melody XXI - Tom Johnson
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Not electronic feedback, but serves as an example that feedback is not
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limited to electronics.
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IIR filter example?
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\subsection{Amplification}
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\subsection{Acoustic Feedback}
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Acoustic feedback occurs when a closed loop is created between an audio
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transducer (such as a microphone or guitar pickup) and amplifier,
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causing previously amplified audio to be reamplified continuously at an
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exponential rate as illustrated in Figure~\ref{acoustic_feedback}.\\
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\begin{figure}[H]
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\makebox[\textwidth]{\includegraphics[width=0.75\textwidth]{acoustic_feedback_diagram}}
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\caption[Caption for LOF]{Acoustic Feedback Diagram\protect\footnotemark}
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\label{acoustic_feedback}
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\end{figure}
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\footnotetext{Diagram taken from:
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\url{http://www.mediacollege.com/audio/howto/feedback.html}}
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This is a common problem in the context of live audio, as the
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exponential nature of the feedback causes a distinct "howling" sound
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that builds rapidly and is commonly considered unplesant. As a result,
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a great deal of research has been carried out into methods for
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attenuating and controlling this effect.~\parencite[p.1]{}
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However, the volatile and unpredictable nature of acoustic feedback has
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been used to great effect in both popular and avant-garde music.
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Pioneering guitarists such as Jimi Hendrix have used the loop created
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through placing an electric guitar pickup close to it's amplifier to
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compliment virtuosic guitar solos in pieces such as Foxy Lady~\citeyearpar{}
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This is taken one step further in works such as Steve Reich's Pendulum
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Music, where feedback becomes the focus of the piece entirely. This is
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discussed further in section~\ref{wolfman}
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\subsection{Electronic Feedback}
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\subsection{Mathmatical Feedback}
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Rational Melody XXI - Tom Johnson
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Not electronic feedback, but serves as an example that feedback is not
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limited to electronics.
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IIR filter example?
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\subsection{Amplification}
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\section{Musical Aspects and Implications of Feedback Systems}
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\subsection{Indeterminacy}
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\subsection{Process and Control}
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\subsection{Rhythmic/Temporal Implications of Feedback}
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\subsection{Spectral Implications of Feedback}
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\subsection{Dynamic Implications of Artificial Amplitude Adjustment}
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\subsection{Indeterminacy}
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\subsection{Process and Control}
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\subsection{Rhythmic/Temporal Implications of Feedback}
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\subsection{Spectral Implications of Feedback}
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\subsection{Dynamic Implications of Artificial Amplitude Adjustment}
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\section{Composition Analysis}
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\subsection{Acoustic Feedback}
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Steve Reich's Pendulum Music
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Robert Ashley's The Wolfman - ref: kyle gann - robert ashley
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\subsection{Acoustic Feedback}
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\subsubsection{Steve Reich's Pendulum Music}
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\subsubsection{Robert Ashley's The Wolfman}\label{wolfman}
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- ref: kyle gann - robert ashley
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\subsection{Electronic Feedback}
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David Tutor's Untitled (1996), Toneburst (2004), and Pulsers (1996)
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Gordon Mumma's Hornpipe
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\subsection{Electronic Feedback}
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David Tutor's Untitled (1996), Toneburst (2004), and Pulsers (1996)
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Gordon Mumma's Hornpipe
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\subsection{Amplification}
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John Cage's Cartridge Music
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Stockhausen's Mikrophonie
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\subsection{Amplification}
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John Cage's Cartridge Music
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Stockhausen's Mikrophonie
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\printbibliography
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