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	<title>Sine waves &#8211; Tremblings and Warblings</title>
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	<description>A Blog on the Science of Music and Speech</description>
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		<title>The Kinkiness of a Vibrating String</title>
		<link>https://www.tremblingsandwarblings.com/2017/10/kinkiness-vibrating-string/</link>
		<comments>https://www.tremblingsandwarblings.com/2017/10/kinkiness-vibrating-string/#respond</comments>
		<pubDate>Tue, 31 Oct 2017 10:07:41 +0000</pubDate>
		<dc:creator><![CDATA[tremblingsandwarblings]]></dc:creator>
				<category><![CDATA[Instruments]]></category>
		<category><![CDATA[Fourier transform]]></category>
		<category><![CDATA[Sine waves]]></category>
		<category><![CDATA[Spectrum]]></category>
		<category><![CDATA[String]]></category>
		<category><![CDATA[Violin]]></category>

		<guid isPermaLink="false">http://www.tremblingsandwarblings.com/?p=776</guid>
		<description><![CDATA[<img width="150" height="150" src="https://www.tremblingsandwarblings.com/wp-content/uploads/2017/10/violin_strings-150x150.jpg" class="webfeedsFeaturedVisual wp-post-image" alt="Violin closeup" style="display: block; margin-bottom: 5px; clear:both;max-width: 100%;" /><p class="p1"><span class="s1">Here’s a super-slow-motion video of a vibrating violin string:</span></p>
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<p><span style="color: #808080; line-height: 0px; display: block;"><span style="font-family: Times New Roman,serif;"><span style="font-size: small;"><em>Video by <a href="https://www.youtube.com/channel/UCTTafL52cfiJCL5_jK2UxNA" target="_blank" rel="noopener noreferrer">Jost Fischer</a>.</em></span></span></span></p>
<p class="p1"><span class="s1">I think this is pretty cool — there’s this <i>kink</i> that’s travelling up and down the length of the string.<span class="Apple-converted-space">  </span>What’s going on here, and why don’t we see this with the naked eye?<span class="Apple-converted-space">  </span>In this post I’ll explain how a bowed string vibrates, and how, unintuitive as it seems, the odd kinky motion of the </span>&#8230; <a href="https://www.tremblingsandwarblings.com/2017/10/kinkiness-vibrating-string/" class="read-more">Read the rest</a></p>
<p>The post <a rel="nofollow" href="https://www.tremblingsandwarblings.com/2017/10/kinkiness-vibrating-string/">The Kinkiness of a Vibrating String</a> appeared first on <a rel="nofollow" href="https://www.tremblingsandwarblings.com">Tremblings and Warblings</a>.</p>
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		<title>The Fourier Transform and the Spectrum</title>
		<link>https://www.tremblingsandwarblings.com/2017/05/fourier-transform-spectrum/</link>
		<comments>https://www.tremblingsandwarblings.com/2017/05/fourier-transform-spectrum/#respond</comments>
		<pubDate>Mon, 08 May 2017 10:24:56 +0000</pubDate>
		<dc:creator><![CDATA[tremblingsandwarblings]]></dc:creator>
				<category><![CDATA[Physics of Musical Sound]]></category>
		<category><![CDATA[Digital audio technology]]></category>
		<category><![CDATA[Fourier transform]]></category>
		<category><![CDATA[Sine waves]]></category>
		<category><![CDATA[Spectrum]]></category>
		<category><![CDATA[Timbre]]></category>

		<guid isPermaLink="false">http://www.tremblingsandwarblings.com/?p=322</guid>
		<description><![CDATA[<img width="150" height="150" src="https://www.tremblingsandwarblings.com/wp-content/uploads/2017/05/violin_fourier-150x150.gif" class="webfeedsFeaturedVisual wp-post-image" alt="Sine waves combining to form a violin waveform" style="display: block; margin-bottom: 5px; clear:both;max-width: 100%;" /><figure id="attachment_756" style="width: 600px" class="wp-caption aligncenter"><img class="wp-image-756" src="http://www.tremblingsandwarblings.com/wp-content/uploads/2017/05/violin_fourier-1024x512.gif" alt="" width="600" height="300" /><figcaption class="wp-caption-text">Sine waves combining to form a violin waveform.</figcaption></figure>
<p>In <a href="http://www.tremblingsandwarblings.com/2017/04/what-makes-a-musical-sound-part-2-tone-quality-and-spectra/" target="_blank" rel="noopener noreferrer">What Makes a Musical Sound Part 2</a>, I talked about the <a href="http://www.tremblingsandwarblings.com/2017/04/what-makes-a-musical-sound-part-2-tone-quality-and-spectra#spectrum" target="_blank" rel="noopener noreferrer">spectrum</a>, which shows what frequencies are present in a sound.  In this explicative post, I’ll go into more detail about how we obtain the spectrum, and about what it means when we say a sound is made up of different frequencies.</p>
<h3 id="sinewaves">Sine Waves</h3>
<p class="p1"><span class="s1">But<span style="color: #000000;"> first – what</span> does </span>&#8230; <a href="https://www.tremblingsandwarblings.com/2017/05/fourier-transform-spectrum/" class="read-more">Read the rest</a></p>
<p>The post <a rel="nofollow" href="https://www.tremblingsandwarblings.com/2017/05/fourier-transform-spectrum/">The Fourier Transform and the Spectrum</a> appeared first on <a rel="nofollow" href="https://www.tremblingsandwarblings.com">Tremblings and Warblings</a>.</p>
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		<slash:comments>0</slash:comments>
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