replace in opening quotations
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node30.html
14
node30.html
@@ -430,7 +430,7 @@ reciprocal <IMG
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WIDTH="28" HEIGHT="32" ALIGN="MIDDLE" BORDER="0"
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SRC="img241.png"
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ALT="$1/f$">--at least approximately, and the approximation is at least
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fairly good if the waveform ``behaves well" at its ends.
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fairly good if the waveform "behaves well" at its ends.
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(As we'll see later, the waveform can always be forced to behave at least
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reasonably well by enveloping it as in Figure <A HREF="node29.html#fig02.07">2.7</A>.)
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@@ -449,9 +449,9 @@ curve is both compressed to the left (the frequencies all drop) and amplified
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<TABLE>
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<CAPTION ALIGN="BOTTOM"><STRONG>Figure 2.10:</STRONG>
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The Fourier series magnitudes for the waveforms shown in Figure
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<A HREF="#fig02.09">2.9</A>. The horizontal axis is the harmonic number. We only ``hear"
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<A HREF="#fig02.09">2.9</A>. The horizontal axis is the harmonic number. We only "hear"
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the coefficients for integer harmonic numbers; the continuous curves are the
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``ideal" contours.</CAPTION>
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"ideal" contours.</CAPTION>
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<TR><TD><IMG
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WIDTH="474" HEIGHT="317" BORDER="0"
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SRC="img242.png"
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@@ -467,11 +467,11 @@ interpolate between each pair of consecutive points of the 100 percent duty
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cycle contour (the original one) with 99 new ones. Already in the figure the
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50 percent duty cycle trace defines the curve with twice the resolution of
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the original one. In the limit, as the duty cycle gets arbitrarily small, the
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spectrum is filled in more and more densely; and the limit is the ``true"
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spectrum is filled in more and more densely; and the limit is the "true"
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spectrum of the waveform.
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<P>
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This ``true" spectrum is only audible at suitably low duty cycles, though. The
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This "true" spectrum is only audible at suitably low duty cycles, though. The
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200 percent duty cycle example actually misses the peak in the ideal
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(continuous) spectrum because the peak falls below the first harmonic. In
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general, higher duty cycles sample the ideal curve at lower resolutions.
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@@ -484,11 +484,11 @@ endlessly variable waveforms from recorded samples (Section
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<A HREF="node28.html#sect2.sampling">2.2</A>), it is possible to generate all sorts of sounds.
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For example, the block diagram of Figure <A HREF="node29.html#fig02.07">2.7</A> gives us a
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way to to grab and stretch timbres from a recorded wavetable. When the
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``frequency" parameter <IMG
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"frequency" parameter <IMG
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WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
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SRC="img112.png"
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ALT="$f$"> is high enough to be audible as a pitch, the
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``size"
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"size"
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parameter <IMG
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WIDTH="10" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
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SRC="img208.png"
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