replace '<A NAME=' with '<A ID='

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2022-04-12 23:32:40 -03:00
parent 19822c017f
commit 2f20b9ef0d
202 changed files with 5110 additions and 5110 deletions

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@@ -30,42 +30,42 @@ original version by: Nikos Drakos, CBLU, University of Leeds
<BODY >
<!--Navigation Panel-->
<A NAME="tex2html707"
<A ID="tex2html707"
HREF="node12.html">
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SRC="next.png"></A>
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SRC="contents.png"></A>
<A NAME="tex2html705"
<A ID="tex2html705"
HREF="node201.html">
<IMG WIDTH="43" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="index"
SRC="index.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html708"
<B> Next:</B> <A ID="tex2html708"
HREF="node12.html">Synthesizing a sinusoid</A>
<B> Up:</B> <A NAME="tex2html702"
<B> Up:</B> <A ID="tex2html702"
HREF="node7.html">Sinusoids, amplitude and frequency</A>
<B> Previous:</B> <A NAME="tex2html696"
<B> Previous:</B> <A ID="tex2html696"
HREF="node10.html">Controlling Amplitude</A>
&nbsp; <B> <A NAME="tex2html704"
&nbsp; <B> <A ID="tex2html704"
HREF="node4.html">Contents</A></B>
&nbsp; <B> <A NAME="tex2html706"
&nbsp; <B> <A ID="tex2html706"
HREF="node201.html">Index</A></B>
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<!--End of Navigation Panel-->
<H1><A NAME="SECTION00540000000000000000">
<H1><A ID="SECTION00540000000000000000">
Frequency</A>
</H1>
@@ -78,7 +78,7 @@ the musical interval between them.
<P>
The Western musical scale divides the
<A NAME="1095"></A><I>octave</I> (the musical interval associated with a ratio of 2:1) into
<A ID="1095"></A><I>octave</I> (the musical interval associated with a ratio of 2:1) into
twelve equal sub-intervals, each of which therefore corresponds to a ratio
of <!-- MATH
${2 ^ {1/{12}}}$
@@ -87,12 +87,12 @@ of <!-- MATH
WIDTH="37" HEIGHT="17" ALIGN="BOTTOM" BORDER="0"
SRC="img110.png"
ALT="${2 ^ {1/{12}}}$">. For historical reasons this sub-interval is called a
<A NAME="1098"></A><I>half-step</I>.
<A ID="1098"></A><I>half-step</I>.
A convenient logarithmic scale for pitch is simply to
count the number of half-steps from a reference pitch--allowing fractions to
permit us to specify pitches which don't fall on a note of the Western scale.
The most commonly used logarithmic pitch scale is
<A NAME="1100"></A>"MIDI pitch", in which the pitch 69 is assigned to a frequency of 440 cycles
<A ID="1100"></A>"MIDI pitch", in which the pitch 69 is assigned to a frequency of 440 cycles
per second--the A above middle C. To convert between a MIDI pitch <IMG
WIDTH="17" HEIGHT="13" ALIGN="BOTTOM" BORDER="0"
SRC="img111.png"
@@ -102,10 +102,10 @@ in cycles per second <IMG
WIDTH="13" HEIGHT="30" ALIGN="MIDDLE" BORDER="0"
SRC="img112.png"
ALT="$f$">, apply the
<A NAME="1101"></A>Pitch/Frequency Conversion formulas:
<A ID="1101"></A>Pitch/Frequency Conversion formulas:
<P>
<A NAME="eq-pitchmidi"></A>
<A ID="eq-pitchmidi"></A>
<BR><P></P>
<DIV ALIGN="CENTER">
<!-- MATH
@@ -162,7 +162,7 @@ description of MIDI, its capabilities and limitations, see
<P>
A half-step comes to a ratio of about 1.059 to 1, or about a six percent
increase in frequency. Half-steps are further divided into <A NAME="1107"></A><I>cents</I>, each cent being one hundredth of a half-step. As a rule of
increase in frequency. Half-steps are further divided into <A ID="1107"></A><I>cents</I>, each cent being one hundredth of a half-step. As a rule of
thumb, it might take about three cents to make a discernible change in the
pitch of a musical tone. At middle C this comes to a difference of about 1/2
cycle per second. A graph of frequency as a function of MIDI pitch, over a
@@ -171,36 +171,36 @@ two-octave range, is shown in Figure <A HREF="node10.html#fig01.04">1.4</A>.
<P>
<HR>
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SRC="next.png"></A>
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SRC="up.png"></A>
<A NAME="tex2html695"
<A ID="tex2html695"
HREF="node10.html">
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SRC="prev.png"></A>
<A NAME="tex2html703"
<A ID="tex2html703"
HREF="node4.html">
<IMG WIDTH="65" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="contents"
SRC="contents.png"></A>
<A NAME="tex2html705"
<A ID="tex2html705"
HREF="node201.html">
<IMG WIDTH="43" HEIGHT="24" ALIGN="BOTTOM" BORDER="0" ALT="index"
SRC="index.png"></A>
<BR>
<B> Next:</B> <A NAME="tex2html708"
<B> Next:</B> <A ID="tex2html708"
HREF="node12.html">Synthesizing a sinusoid</A>
<B> Up:</B> <A NAME="tex2html702"
<B> Up:</B> <A ID="tex2html702"
HREF="node7.html">Sinusoids, amplitude and frequency</A>
<B> Previous:</B> <A NAME="tex2html696"
<B> Previous:</B> <A ID="tex2html696"
HREF="node10.html">Controlling Amplitude</A>
&nbsp; <B> <A NAME="tex2html704"
&nbsp; <B> <A ID="tex2html704"
HREF="node4.html">Contents</A></B>
&nbsp; <B> <A NAME="tex2html706"
&nbsp; <B> <A ID="tex2html706"
HREF="node201.html">Index</A></B>
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<ADDRESS>