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<TITLE>book</TITLE> |
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HREF="node4.html">Contents</A></B> |
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HREF="node201.html">Index</A></B> |
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HREF="node1.html">#1</A> |
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HREF="node2.html">#1</A> |
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<LI><A NAME="tex2html213" |
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HREF="node3.html">#1</A> |
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<LI><A NAME="tex2html214" |
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HREF="node4.html">Contents</A> |
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<LI><A NAME="tex2html215" |
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HREF="node5.html">Foreword</A> |
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<LI><A NAME="tex2html216" |
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HREF="node6.html">Preface</A> |
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<LI><A NAME="tex2html217" |
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HREF="node7.html">Sinusoids, amplitude and frequency</A> |
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<LI><A NAME="tex2html218" |
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HREF="node8.html">Measures of Amplitude</A> |
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<LI><A NAME="tex2html219" |
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HREF="node9.html">Units of Amplitude</A> |
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HREF="node10.html">Controlling Amplitude</A> |
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HREF="node11.html">Frequency</A> |
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<LI><A NAME="tex2html222" |
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HREF="node12.html">Synthesizing a sinusoid</A> |
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<LI><A NAME="tex2html223" |
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HREF="node13.html">Superposing Signals</A> |
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<LI><A NAME="tex2html224" |
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HREF="node14.html">Periodic Signals</A> |
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<LI><A NAME="tex2html225" |
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HREF="node15.html">About the Software Examples</A> |
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<UL> |
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<LI><A NAME="tex2html226" |
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HREF="node16.html">Quick Introduction to Pd</A> |
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<LI><A NAME="tex2html227" |
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HREF="node17.html">How to find and run the examples</A> |
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HREF="node18.html">Examples</A> |
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<LI><A NAME="tex2html229" |
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HREF="node19.html">Constant amplitude scaler</A> |
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<LI><A NAME="tex2html230" |
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HREF="node20.html">Amplitude control in decibels</A> |
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<LI><A NAME="tex2html231" |
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HREF="node21.html">Smoothed amplitude control with an envelope generator</A> |
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HREF="node22.html">Major triad</A> |
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<LI><A NAME="tex2html233" |
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HREF="node23.html">Conversion between frequency and pitch</A> |
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<LI><A NAME="tex2html234" |
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HREF="node24.html">More additive synthesis</A> |
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HREF="node26.html">Wavetables and samplers</A> |
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HREF="node27.html">The Wavetable Oscillator</A> |
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HREF="node28.html">Sampling</A> |
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HREF="node108.html">Delay networks</A> |
||||||
|
<LI><A NAME="tex2html319" |
||||||
|
HREF="node109.html">Recirculating delay networks</A> |
||||||
|
<LI><A NAME="tex2html320" |
||||||
|
HREF="node110.html">Power conservation and complex delay networks</A> |
||||||
|
<LI><A NAME="tex2html321" |
||||||
|
HREF="node111.html">Artificial reverberation</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html322" |
||||||
|
HREF="node112.html">Controlling reverberators</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html323" |
||||||
|
HREF="node113.html">Variable and fractional shifts</A> |
||||||
|
<LI><A NAME="tex2html324" |
||||||
|
HREF="node114.html">Fidelity of interpolating delay lines</A> |
||||||
|
<LI><A NAME="tex2html325" |
||||||
|
HREF="node115.html">Pitch shifting</A> |
||||||
|
<LI><A NAME="tex2html326" |
||||||
|
HREF="node116.html">Examples</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html327" |
||||||
|
HREF="node117.html">Fixed, noninterpolating delay line</A> |
||||||
|
<LI><A NAME="tex2html328" |
||||||
|
HREF="node118.html">Recirculating comb filter</A> |
||||||
|
<LI><A NAME="tex2html329" |
||||||
|
HREF="node119.html">Variable delay line</A> |
||||||
|
<LI><A NAME="tex2html330" |
||||||
|
HREF="node120.html">Order of execution and lower limits on delay times</A> |
||||||
|
<LI><A NAME="tex2html331" |
||||||
|
HREF="node121.html">Order of execution in non-recirculating delay lines</A> |
||||||
|
<LI><A NAME="tex2html332" |
||||||
|
HREF="node122.html">Non-recirculating comb filter as octave doubler</A> |
||||||
|
<LI><A NAME="tex2html333" |
||||||
|
HREF="node123.html">Time-varying complex comb filter: shakers</A> |
||||||
|
<LI><A NAME="tex2html334" |
||||||
|
HREF="node124.html">Reverberator</A> |
||||||
|
<LI><A NAME="tex2html335" |
||||||
|
HREF="node125.html">Pitch shifter</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html336" |
||||||
|
HREF="node126.html">Exercises</A> |
||||||
|
</UL> |
||||||
|
<BR> |
||||||
|
<LI><A NAME="tex2html337" |
||||||
|
HREF="node127.html">Filters</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html338" |
||||||
|
HREF="node128.html">Taxonomy of filters</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html339" |
||||||
|
HREF="node129.html">Low-pass and high-pass filters</A> |
||||||
|
<LI><A NAME="tex2html340" |
||||||
|
HREF="node130.html">Band-pass and stop-band filters</A> |
||||||
|
<LI><A NAME="tex2html341" |
||||||
|
HREF="node131.html">Equalizing filters</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html342" |
||||||
|
HREF="node132.html">Elementary filters</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html343" |
||||||
|
HREF="node133.html">Elementary non-recirculating filter</A> |
||||||
|
<LI><A NAME="tex2html344" |
||||||
|
HREF="node134.html">Non-recirculating filter, second form</A> |
||||||
|
<LI><A NAME="tex2html345" |
||||||
|
HREF="node135.html">Elementary recirculating filter</A> |
||||||
|
<LI><A NAME="tex2html346" |
||||||
|
HREF="node136.html">Compound filters</A> |
||||||
|
<LI><A NAME="tex2html347" |
||||||
|
HREF="node137.html">Real outputs from complex filters</A> |
||||||
|
<LI><A NAME="tex2html348" |
||||||
|
HREF="node138.html">Two recirculating filters for the price of one</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html349" |
||||||
|
HREF="node139.html">Designing filters</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html350" |
||||||
|
HREF="node140.html">One-pole low-pass filter</A> |
||||||
|
<LI><A NAME="tex2html351" |
||||||
|
HREF="node141.html">One-pole, one-zero high-pass filter</A> |
||||||
|
<LI><A NAME="tex2html352" |
||||||
|
HREF="node142.html">Shelving filter</A> |
||||||
|
<LI><A NAME="tex2html353" |
||||||
|
HREF="node143.html">Band-pass filter</A> |
||||||
|
<LI><A NAME="tex2html354" |
||||||
|
HREF="node144.html">Peaking and stop-band filter</A> |
||||||
|
<LI><A NAME="tex2html355" |
||||||
|
HREF="node145.html">Butterworth filters</A> |
||||||
|
<LI><A NAME="tex2html356" |
||||||
|
HREF="node146.html">Stretching the unit circle with rational functions</A> |
||||||
|
<LI><A NAME="tex2html357" |
||||||
|
HREF="node147.html">Butterworth band-pass filter</A> |
||||||
|
<LI><A NAME="tex2html358" |
||||||
|
HREF="node148.html">Time-varying coefficients</A> |
||||||
|
<LI><A NAME="tex2html359" |
||||||
|
HREF="node149.html">Impulse responses of recirculating filters</A> |
||||||
|
<LI><A NAME="tex2html360" |
||||||
|
HREF="node150.html">All-pass filters</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html361" |
||||||
|
HREF="node151.html">Applications</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html362" |
||||||
|
HREF="node152.html">Subtractive synthesis</A> |
||||||
|
<LI><A NAME="tex2html363" |
||||||
|
HREF="node153.html">Envelope following</A> |
||||||
|
<LI><A NAME="tex2html364" |
||||||
|
HREF="node154.html">Single Sideband Modulation</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html365" |
||||||
|
HREF="node155.html">Examples</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html366" |
||||||
|
HREF="node156.html">Prefabricated low-, high-, and band-pass filters</A> |
||||||
|
<LI><A NAME="tex2html367" |
||||||
|
HREF="node157.html">Prefabricated time-varying band-pass filter</A> |
||||||
|
<LI><A NAME="tex2html368" |
||||||
|
HREF="node158.html">Envelope followers</A> |
||||||
|
<LI><A NAME="tex2html369" |
||||||
|
HREF="node159.html">Single sideband modulation</A> |
||||||
|
<LI><A NAME="tex2html370" |
||||||
|
HREF="node160.html">Using elementary filters directly: shelving and peaking</A> |
||||||
|
<LI><A NAME="tex2html371" |
||||||
|
HREF="node161.html">Making and using all-pass filters</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html372" |
||||||
|
HREF="node162.html">Exercises</A> |
||||||
|
</UL> |
||||||
|
<BR> |
||||||
|
<LI><A NAME="tex2html373" |
||||||
|
HREF="node163.html">Fourier analysis and resynthesis</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html374" |
||||||
|
HREF="node164.html">Fourier analysis of periodic signals</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html375" |
||||||
|
HREF="node165.html">Periodicity of the Fourier transform</A> |
||||||
|
<LI><A NAME="tex2html376" |
||||||
|
HREF="node166.html">Fourier transform as additive synthesis</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html377" |
||||||
|
HREF="node167.html">Properties of Fourier transforms</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html378" |
||||||
|
HREF="node168.html">Fourier transform of DC</A> |
||||||
|
<LI><A NAME="tex2html379" |
||||||
|
HREF="node169.html">Shifts and phase changes</A> |
||||||
|
<LI><A NAME="tex2html380" |
||||||
|
HREF="node170.html">Fourier transform of a sinusoid</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html381" |
||||||
|
HREF="node171.html">Fourier analysis of non-periodic signals</A> |
||||||
|
<LI><A NAME="tex2html382" |
||||||
|
HREF="node172.html">Fourier analysis and reconstruction of audio signals</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html383" |
||||||
|
HREF="node173.html">Narrow-band companding</A> |
||||||
|
<LI><A NAME="tex2html384" |
||||||
|
HREF="node174.html">Timbre stamping (classical vocoder)</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html385" |
||||||
|
HREF="node175.html">Phase</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html386" |
||||||
|
HREF="node176.html">Phase relationships between channels</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html387" |
||||||
|
HREF="node177.html">Phase bashing</A> |
||||||
|
<LI><A NAME="tex2html388" |
||||||
|
HREF="node178.html">Examples</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html389" |
||||||
|
HREF="node179.html">Fourier analysis and resynthesis in Pd</A> |
||||||
|
<LI><A NAME="tex2html390" |
||||||
|
HREF="node180.html">Narrow-band companding: noise suppression</A> |
||||||
|
<LI><A NAME="tex2html391" |
||||||
|
HREF="node181.html">Timbre stamp (``vocoder")</A> |
||||||
|
<LI><A NAME="tex2html392" |
||||||
|
HREF="node182.html">Phase vocoder time bender</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html393" |
||||||
|
HREF="node183.html">Exercises</A> |
||||||
|
</UL> |
||||||
|
<BR> |
||||||
|
<LI><A NAME="tex2html394" |
||||||
|
HREF="node184.html">Classical waveforms</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html395" |
||||||
|
HREF="node185.html">Symmetries and Fourier series</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html396" |
||||||
|
HREF="node186.html">Sawtooth waves and symmetry</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html397" |
||||||
|
HREF="node187.html">Dissecting classical waveforms</A> |
||||||
|
<LI><A NAME="tex2html398" |
||||||
|
HREF="node188.html">Fourier series of the elementary waveforms</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html399" |
||||||
|
HREF="node189.html">Sawtooth wave</A> |
||||||
|
<LI><A NAME="tex2html400" |
||||||
|
HREF="node190.html">Parabolic wave</A> |
||||||
|
<LI><A NAME="tex2html401" |
||||||
|
HREF="node191.html">Square and symmetric triangle waves</A> |
||||||
|
<LI><A NAME="tex2html402" |
||||||
|
HREF="node192.html">General (non-symmetric) triangle wave</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html403" |
||||||
|
HREF="node193.html">Predicting and controlling foldover</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html404" |
||||||
|
HREF="node194.html">Over-sampling</A> |
||||||
|
<LI><A NAME="tex2html405" |
||||||
|
HREF="node195.html">Sneaky triangle waves</A> |
||||||
|
<LI><A NAME="tex2html406" |
||||||
|
HREF="node196.html">Transition splicing</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html407" |
||||||
|
HREF="node197.html">Examples</A> |
||||||
|
<UL> |
||||||
|
<LI><A NAME="tex2html408" |
||||||
|
HREF="node198.html">Combining sawtooth waves</A> |
||||||
|
<LI><A NAME="tex2html409" |
||||||
|
HREF="node199.html">Strategies for band-limiting sawtooth waves</A> |
||||||
|
</UL> |
||||||
|
<LI><A NAME="tex2html410" |
||||||
|
HREF="node200.html">Exercises</A> |
||||||
|
</UL> |
||||||
|
<BR> |
||||||
|
<LI><A NAME="tex2html411" |
||||||
|
HREF="node201.html">Index</A> |
||||||
|
<LI><A NAME="tex2html412" |
||||||
|
HREF="node202.html">Bibliography</A> |
||||||
|
<LI><A NAME="tex2html413" |
||||||
|
HREF="node203.html">About this document ...</A> |
||||||
|
</UL> |
||||||
|
<!--End of Table of Child-Links--> |
||||||
|
<BR><HR> |
||||||
|
<ADDRESS> |
||||||
|
Miller Puckette |
||||||
|
2006-12-30 |
||||||
|
</ADDRESS> |
||||||
|
</BODY> |
||||||
|
</HTML> |
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\relax |
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\begin{thebibliography}{RMW02} |
||||||
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Marc Lebrun. |
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Miller~S. Puckette. |
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Phillip~A. Regalia. |
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\newblock Special filter design. |
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\newblock Addison Wesley, San Francisco, third edition, 2002. |
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\bibitem[Roa01]{r-roads01} |
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Curtis Roads. |
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\newblock {\em Microsound}. |
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\newblock MIT Press, Cambridge, Massachusetts, 2001. |
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|
\bibitem[Sch77]{r-schottstaedt87} |
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|
Bill Schottstaedt. |
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|
\newblock Simulation of natural instrument tones using frequency modulation |
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|
with a complex modulating wave. |
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|
\newblock {\em Computer Music Journal}, 1(4):46--50, 1977. |
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\bibitem[SI03]{r-smith03} |
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Julius~Orion Smith~III. |
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\newblock {\em Mathematics of the Discrete Fourier Transform (DFT), with Music |
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and Audio Applications}. |
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\newblock W3K Publishing, Menlo Park, California, 2003. |
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\bibitem[Ste96]{r-steiglitz96} |
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Kenneth Steiglitz. |
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\newblock {\em A Digital Signal Processing Primer}. |
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\newblock Addison-Wesley, Menlo Park, California, 1996. |
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John Strawn, editor. |
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\newblock {\em Digital Audio Signal Processing}. |
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\newblock William Kaufmann, Los Altos, California, 1985. |
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\bibitem[Str95]{r-strange72} |
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Allen Strange. |
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\newblock {\em Electronic music: systems, techniques, and controls}. |
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\newblock W. C. Brown, Dubuque, Iowa, 1995. |
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\end{thebibliography} |
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