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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>Amplitude and Dynamics</name>
  <metadata>
  <md:version>1.2</md:version>
  <md:created>2004/09/01 14:22:19 GMT-5</md:created>
  <md:revised>2006/01/05 13:20:39.862 US/Central</md:revised>
  <md:authorlist>
      <md:author id="Catherine">
      <md:firstname>Catherine</md:firstname>
      <md:othername>A.</md:othername>
      <md:surname>Schmidt-Jones</md:surname>
      <md:email>casjones@soltec.net</md:email>
    </md:author>
  </md:authorlist>

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

  <md:abstract>The amplitude of the sound waves are the dynamics of music.</md:abstract>
</metadata>

  <content>

    <para 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 document="m11060" target="fig1b">wavelength</cnxn>, which is also related to the <cnxn document="m11060" target="fig1b">frequency</cnxn> and the <cnxn 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>amplitude</term> of the wave, and it determines the loudness of the sound.
    </para>

    <figure id="fig1a">
      <name>Wavelength and Amplitude</name>
      <media type="image/png" src="wavelengthamplitude.png"/>
      <caption>The <term>wavelength</term> is the distance between the "crests" of two waves that are next to each other. The <term>amplitude</term> is how high the crests are.</caption>
    </figure>

  <para id="p1h">
Actually, sound waves are not the type of waves shown in the figure above. (Please see <cnxn 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 document="m12378">longitudinal Waves</cnxn> waves.
  </para>

    <figure id="fig1b">
      <media type="image/png" src="amplitudes.png"/>
      <caption>It's easier to spot differences in amplitude at a glance when figures use <cnxn document="m12378">transverse</cnxn> waves.</caption>
    </figure>

		<para id="p1f">
Engineers and scientists call how big a wave is its <term>amplitude</term>. They measure the amplitude of sound waves in <term>decibels</term>. Leaves rustling in the wind are about 10 decibels; a jet engine is about 120 decibels.
		</para>

		<para id="p1g">
Musicians call the loudness of a note its <term>dynamic level</term>. <term>Forte</term> (pronounced "FOR-tay") is a loud dynamic level; <term>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 document="m11649">Dynamics</cnxn> for more of the terms that musicians use to talk about loudness.)
		</para>

		<figure id="fig1c">
			<name>Amplitude is Loudness</name>
			<media type="image/png" src="physics1c.png"/>
			<caption>The size of a wave (how much it is "piled up" at the high points) is its <term>amplitude</term>. For sound waves, the bigger the amplitude, the louder the sound. </caption>
		</figure>
  
  </content>
  
</document>
