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<document xmlns="http://cnx.rice.edu/cnxml" xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="None">
  <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Amplitude and Dynamics</name>
  <metadata xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">
  <md:version xmlns:bib="http://bibtexml.sf.net/">1.2</md:version>
  <md:created xmlns:bib="http://bibtexml.sf.net/">2004/09/01 14:22:19 GMT-5</md:created>
  <md:revised xmlns:bib="http://bibtexml.sf.net/">2006/01/05 13:20:39.862 US/Central</md:revised>
  <md:authorlist xmlns:bib="http://bibtexml.sf.net/">
      <md:author xmlns:bib="http://bibtexml.sf.net/" id="Catherine">
      <md:firstname xmlns:bib="http://bibtexml.sf.net/">Catherine</md:firstname>
      <md:othername xmlns:bib="http://bibtexml.sf.net/">A.</md:othername>
      <md:surname xmlns:bib="http://bibtexml.sf.net/">Schmidt-Jones</md:surname>
      <md:email xmlns:bib="http://bibtexml.sf.net/">casjones@soltec.net</md:email>
    </md:author>
  </md:authorlist>

  <md:maintainerlist xmlns:bib="http://bibtexml.sf.net/">
    <md:maintainer xmlns:bib="http://bibtexml.sf.net/" id="Catherine">
      <md:firstname xmlns:bib="http://bibtexml.sf.net/">Catherine</md:firstname>
      <md:othername xmlns:bib="http://bibtexml.sf.net/">A.</md:othername>
      <md:surname xmlns:bib="http://bibtexml.sf.net/">Schmidt-Jones</md:surname>
      <md:email xmlns:bib="http://bibtexml.sf.net/">casjones@soltec.net</md:email>
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  <md:keywordlist xmlns:bib="http://bibtexml.sf.net/">
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">amplitude</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">dynamics</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">sound waves</md:keyword>
    <md:keyword xmlns:bib="http://bibtexml.sf.net/">waves</md:keyword>
  </md:keywordlist>

  <md:abstract xmlns:bib="http://bibtexml.sf.net/">The amplitude of the sound waves are the dynamics of music.</md:abstract>
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  <content xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">

    <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1a">
When sound waves come as a very regular, pitched tone, there are two useful measurements you can make that tell you something about both the sound waves and about the tone they are making. One measurement is the distance between one wave and the next. This is the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11060" target="fig1b">wavelength</cnxn>, which is also related to the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11060" target="fig1b">frequency</cnxn> and the <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m10943">pitch</cnxn> of the sound. The other measurement you can make is the size of each individual wave - its "height" or "intensity" rather than its length. This is the <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">amplitude</term> of the wave, and it determines the loudness of the sound.
    </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig1a">
      <name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Wavelength and Amplitude</name>
      <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="wavelengthamplitude.png"/>
      <caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">The <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">wavelength</term> is the distance between the "crests" of two waves that are next to each other. The <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">amplitude</term> is how high the crests are.</caption>
    </figure>

  <para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1h">
Actually, sound waves are not the type of waves shown in the figure above. (Please see <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m12378">Transverse and Longitudinal Waves</cnxn> for more on this.) Rather than piling up high in the crests of the waves, as water on the surface of the ocean does, the air molecules in sound waves pile into the waves. So the bigger the amplitude of the wave, the more air molecules are in the "crest" of each wave, and the fewer air molecules are left in the "low" spots. The amplitude of the wave is still measuring the same thing - how much change there is during one wave - but this is more difficult to show clearly in a diagram with sound-type <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m12378">longitudinal Waves</cnxn> waves.
  </para>

    <figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig1b">
      <media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="amplitudes.png"/>
      <caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">It's easier to spot differences in amplitude at a glance when figures use <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m12378">transverse</cnxn> waves.</caption>
    </figure>

		<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1f">
Engineers and scientists call how big a wave is its <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">amplitude</term>. They measure the amplitude of sound waves in <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">decibels</term>. Leaves rustling in the wind are about 10 decibels; a jet engine is about 120 decibels.
		</para>

		<para xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="p1g">
Musicians call the loudness of a note its <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">dynamic level</term>. <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Forte</term> (pronounced "FOR-tay") is a loud dynamic level; <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">piano</term> is soft. Dynamic levels don't correspond to a measured decibel level. An orchestra playing "fortissimo" (which basically means "even louder than forte") is going to be quite a bit louder than a string quartet playing "fortissimo". (See <cnxn xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" document="m11649">Dynamics</cnxn> for more of the terms that musicians use to talk about loudness.)
		</para>

		<figure xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" id="fig1c">
			<name xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">Amplitude is Loudness</name>
			<media xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/" type="image/png" src="physics1c.png"/>
			<caption xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">The size of a wave (how much it is "piled up" at the high points) is its <term xmlns:md="http://cnx.rice.edu/mdml/0.4" xmlns:bib="http://bibtexml.sf.net/">amplitude</term>. For sound waves, the bigger the amplitude, the louder the sound. </caption>
		</figure>
  
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