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	<title>Comments on: The Math and Philosophy Behind Tool&#8217;s Lateralus</title>
	<atom:link href="http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/feed" rel="self" type="application/rss+xml" />
	<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus</link>
	<description>grep understanding</description>
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		<title>By: Dr Aterru</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-257663</link>
		<dc:creator>Dr Aterru</dc:creator>
		<pubDate>Sat, 06 Aug 2011 10:37:00 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-257663</guid>
		<description>&lt;p&gt;this will answer all http://andyhky.com/overthinking.htm&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>this will answer all <a href="http://andyhky.com/overthinking.htm" rel="nofollow">http://andyhky.com/overthinking.htm</a></p>]]></content:encoded>
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		<title>By: Darthcalculus@aol.com</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-254942</link>
		<dc:creator>Darthcalculus@aol.com</dc:creator>
		<pubDate>Wed, 30 Mar 2011 03:13:00 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-254942</guid>
		<description>&lt;p&gt;The fibonacci sequence is NOT the Golden Ratio. The Golden Ratio is:
&quot; two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. The golden ratio is an irrational mathematical constant, approximately 1.6180339887&quot; -wikipedia&lt;/p&gt;
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		<content:encoded><![CDATA[<p>The fibonacci sequence is NOT the Golden Ratio. The Golden Ratio is:
&#8221; two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. The golden ratio is an irrational mathematical constant, approximately 1.6180339887&#8243; -wikipedia</p>]]></content:encoded>
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		<title>By: Darthcalculus@aol.com</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-254941</link>
		<dc:creator>Darthcalculus@aol.com</dc:creator>
		<pubDate>Wed, 30 Mar 2011 03:09:00 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-254941</guid>
		<description>&lt;p&gt;Actually, the song title Cesaro Summability is a mathematical concept far beyond the fibonacci sequence. Look it up on wikipedia and prepare to have your mind blown. 
  Also, Parabola, of course, is the name given to the shape of the graph f(x) = x^2 (&quot;x to the second power&quot;)... a &quot;U-shape&quot;.
   I am keeping my eyes open for other songs which reference mathematics.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Actually, the song title Cesaro Summability is a mathematical concept far beyond the fibonacci sequence. Look it up on wikipedia and prepare to have your mind blown. 
  Also, Parabola, of course, is the name given to the shape of the graph f(x) = x^2 (&#8220;x to the second power&#8221;)&#8230; a &#8220;U-shape&#8221;.
   I am keeping my eyes open for other songs which reference mathematics.</p>]]></content:encoded>
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		<title>By: Martin Davies</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-244999</link>
		<dc:creator>Martin Davies</dc:creator>
		<pubDate>Mon, 26 Jul 2010 10:21:15 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-244999</guid>
		<description>&lt;p&gt;it starts left to right +1-2+3-4+5 then right to left -7+8-9+10-11+12 it skips 6 because it started with 6 this is also known as the holy gift.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>it starts left to right +1-2+3-4+5 then right to left -7+8-9+10-11+12 it skips 6 because it started with 6 this is also known as the holy gift.</p>]]></content:encoded>
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		<title>By: The &#8216;James Keenan Maynard&#8217; experience &#171; footprints&#8230;</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-244101</link>
		<dc:creator>The &#8216;James Keenan Maynard&#8217; experience &#171; footprints&#8230;</dc:creator>
		<pubDate>Thu, 08 Apr 2010 14:11:20 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-244101</guid>
		<description>&lt;p&gt;[...] to serenade us with somber moments. I’m not one for philosophizing through music so you can read this, this and that to know about Maynard’s exploration of the consciousness through heavy metal’s [...]&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>[...] to serenade us with somber moments. I’m not one for philosophizing through music so you can read this, this and that to know about Maynard’s exploration of the consciousness through heavy metal’s [...]</p>]]></content:encoded>
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		<title>By: Jon</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-244391</link>
		<dc:creator>Jon</dc:creator>
		<pubDate>Tue, 06 Apr 2010 10:43:24 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-244391</guid>
		<description>&lt;p&gt;Trying to graph that eye on a Cartesian plane... not working.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Trying to graph that eye on a Cartesian plane&#8230; not working.</p>]]></content:encoded>
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		<title>By: Jon</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-244392</link>
		<dc:creator>Jon</dc:creator>
		<pubDate>Tue, 06 Apr 2010 10:33:49 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-244392</guid>
		<description>&lt;p&gt;Tracks 10-12 are considered to be the three parts of a single song, they&#039;re often played together at concerts, but I don&#039;t think that&#039;s what he&#039;s referring to.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Tracks 10-12 are considered to be the three parts of a single song, they&#39;re often played together at concerts, but I don&#39;t think that&#39;s what he&#39;s referring to.</p>]]></content:encoded>
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		<title>By: Jon</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-244393</link>
		<dc:creator>Jon</dc:creator>
		<pubDate>Tue, 06 Apr 2010 10:31:12 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-244393</guid>
		<description>&lt;p&gt;The rearranged track order is something I&#039;m curious about too, even if it is a supposed to be a spiral formation from the center of the track numbers, that isn&#039;t a Fibonacci sequence.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>The rearranged track order is something I&#39;m curious about too, even if it is a supposed to be a spiral formation from the center of the track numbers, that isn&#39;t a Fibonacci sequence.</p>]]></content:encoded>
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		<title>By: Jon</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-244394</link>
		<dc:creator>Jon</dc:creator>
		<pubDate>Tue, 06 Apr 2010 10:28:00 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-244394</guid>
		<description>&lt;p&gt;What he means is at that point in the song, the time signatures change each measure, staring at 9/8, to 8/8, to 7/8, and then repeating itself. Pretty sure members of the band, specifically the drummer, have admitted to that being another reference to the Fibonacci sequence. I might be wrong about that last part though.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>What he means is at that point in the song, the time signatures change each measure, staring at 9/8, to 8/8, to 7/8, and then repeating itself. Pretty sure members of the band, specifically the drummer, have admitted to that being another reference to the Fibonacci sequence. I might be wrong about that last part though.</p>]]></content:encoded>
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		<title>By: Jon</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-244080</link>
		<dc:creator>Jon</dc:creator>
		<pubDate>Tue, 06 Apr 2010 05:43:24 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-244080</guid>
		<description>&lt;p&gt;Trying to graph that eye on a Cartesian plane... not working.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Trying to graph that eye on a Cartesian plane&#8230; not working.</p>]]></content:encoded>
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		<title>By: Jon</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-244077</link>
		<dc:creator>Jon</dc:creator>
		<pubDate>Tue, 06 Apr 2010 05:33:49 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-244077</guid>
		<description>&lt;p&gt;Tracks 10-12 are considered to be the three parts of a single song, they&#039;re often played together at concerts, but I don&#039;t think that&#039;s what he&#039;s referring to.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Tracks 10-12 are considered to be the three parts of a single song, they&#39;re often played together at concerts, but I don&#39;t think that&#39;s what he&#39;s referring to.</p>]]></content:encoded>
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		<title>By: Jon</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-244078</link>
		<dc:creator>Jon</dc:creator>
		<pubDate>Tue, 06 Apr 2010 05:31:12 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-244078</guid>
		<description>&lt;p&gt;The rearranged track order is something I&#039;m curious about too, even if it is a supposed to be a spiral formation from the center of the track numbers, that isn&#039;t a Fibonacci sequence.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>The rearranged track order is something I&#39;m curious about too, even if it is a supposed to be a spiral formation from the center of the track numbers, that isn&#39;t a Fibonacci sequence.</p>]]></content:encoded>
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		<title>By: Jon</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-244079</link>
		<dc:creator>Jon</dc:creator>
		<pubDate>Tue, 06 Apr 2010 05:28:00 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-244079</guid>
		<description>&lt;p&gt;What he means is at that point in the song, the time signatures change each measure, staring at 9/8, to 8/8, to 7/8, and then repeating itself. Pretty sure members of the band, specifically the drummer, have admitted to that being another reference to the Fibonacci sequence. I might be wrong about that last part though.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>What he means is at that point in the song, the time signatures change each measure, staring at 9/8, to 8/8, to 7/8, and then repeating itself. Pretty sure members of the band, specifically the drummer, have admitted to that being another reference to the Fibonacci sequence. I might be wrong about that last part though.</p>]]></content:encoded>
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		<title>By: cyborg206</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-243033</link>
		<dc:creator>cyborg206</dc:creator>
		<pubDate>Mon, 17 Aug 2009 21:27:17 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-243033</guid>
		<description>&lt;p&gt;the singing starts at 1:37:something, wich is 1.618 aprox of 2 minutes, so there is the golden ratio again, well the drumming tempo it&#039;s already there, and i&#039;ve been trying to corroborate it, but iI think that every 5 times there are 1.618 seconds again, not completely sure, the time signature during the &quot;verse&quot; is 5/8, again, 2 numbers from the fibonacci sequence, keep overthinking man!!! it&#039;s unstoppable, man!! i just realize something else, the strong part ! from the beginning lasts till the 34th compass, another number of the fibonacci sequence! just amazing man, can&#039;t believe how cool is this song, i&#039;ve listened to it almost two hundred times in my ipod&#039;s counter, almost 200 man... love the golden ratio&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>the singing starts at 1:37:something, wich is 1.618 aprox of 2 minutes, so there is the golden ratio again, well the drumming tempo it&#39;s already there, and i&#39;ve been trying to corroborate it, but iI think that every 5 times there are 1.618 seconds again, not completely sure, the time signature during the &#8220;verse&#8221; is 5/8, again, 2 numbers from the fibonacci sequence, keep overthinking man!!! it&#39;s unstoppable, man!! i just realize something else, the strong part ! from the beginning lasts till the 34th compass, another number of the fibonacci sequence! just amazing man, can&#39;t believe how cool is this song, i&#39;ve listened to it almost two hundred times in my ipod&#39;s counter, almost 200 man&#8230; love the golden ratio</p>]]></content:encoded>
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		<title>By: yboT</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-242374</link>
		<dc:creator>yboT</dc:creator>
		<pubDate>Wed, 17 Jun 2009 16:28:58 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-242374</guid>
		<description>&lt;p&gt;ah thankyou so much, i have to analyse a song in my music class at school and i really wanted to get some shit on the fibonacci sequence so i could impress my teacher.....also helped me to understand the song thanks alot!&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>ah thankyou so much, i have to analyse a song in my music class at school and i really wanted to get some shit on the fibonacci sequence so i could impress my teacher&#8230;..also helped me to understand the song thanks alot!</p>]]></content:encoded>
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		<title>By: Jordan D</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-242008</link>
		<dc:creator>Jordan D</dc:creator>
		<pubDate>Sun, 17 May 2009 04:33:03 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-242008</guid>
		<description>&lt;p&gt;987 is actually the 17th step of the Fibonacci Sequence.&lt;br&gt;&lt;br&gt;Great and very interesting video otherwise!&lt;br&gt;&lt;br&gt;P.S. @2:36, do you think the band was trying to make an ironic statement over what people would do to this song? Obvious that isn&#039;t true, as Maynard puts a ton of time and effort into writing the songs this way, but just thought i&#039;d point that out.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>987 is actually the 17th step of the Fibonacci Sequence.<br /><br />Great and very interesting video otherwise!<br /><br />P.S. @2:36, do you think the band was trying to make an ironic statement over what people would do to this song? Obvious that isn&#39;t true, as Maynard puts a ton of time and effort into writing the songs this way, but just thought i&#39;d point that out.</p>]]></content:encoded>
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		<title>By: Jordan D</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-241677</link>
		<dc:creator>Jordan D</dc:creator>
		<pubDate>Sun, 17 May 2009 00:33:03 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-241677</guid>
		<description>&lt;p&gt;987 is actually the 17th step of the Fibonacci Sequence.&lt;br&gt;&lt;br&gt;Great and very interesting video otherwise!&lt;br&gt;&lt;br&gt;P.S. @2:36, do you think the band was trying to make an ironic statement over what people would do to this song? Obvious that isn&#039;t true, as Maynard puts a ton of time and effort into writing the songs this way, but just thought i&#039;d point that out.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>987 is actually the 17th step of the Fibonacci Sequence.<br /><br />Great and very interesting video otherwise!<br /><br />P.S. @2:36, do you think the band was trying to make an ironic statement over what people would do to this song? Obvious that isn&#39;t true, as Maynard puts a ton of time and effort into writing the songs this way, but just thought i&#39;d point that out.</p>]]></content:encoded>
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		<title>By: Riker</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-241621</link>
		<dc:creator>Riker</dc:creator>
		<pubDate>Wed, 06 May 2009 20:27:44 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-241621</guid>
		<description>&lt;p&gt;This is correct; Adam or Danny (I forget which) mentioned in an interview once that before it was named Lateralis, they gave the song a working title of 9-8-7, based on the beat count.  &lt;br&gt;Also note, much like Aenima and Aenema, the song is not spelled the same way as the album :)  Those guys are just full of little tricks like that.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>This is correct; Adam or Danny (I forget which) mentioned in an interview once that before it was named Lateralis, they gave the song a working title of 9-8-7, based on the beat count.  <br />Also note, much like Aenima and Aenema, the song is not spelled the same way as the album :)  Those guys are just full of little tricks like that.</p>]]></content:encoded>
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		<title>By: Jason</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-241122</link>
		<dc:creator>Jason</dc:creator>
		<pubDate>Mon, 06 Apr 2009 16:32:42 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-241122</guid>
		<description>&lt;p&gt;Someone may have already posted this, but the missing section occurs at 3:12......from 9:24.....derivatives 3 &amp; 2, but i don&#039;t know if that&#039;s significant in the sequence of the song.&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>Someone may have already posted this, but the missing section occurs at 3:12&#8230;&#8230;from 9:24&#8230;..derivatives 3 &amp; 2, but i don&#39;t know if that&#39;s significant in the sequence of the song.</p>]]></content:encoded>
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		<title>By: g-house</title>
		<link>http://danielmiessler.com/blog/the-math-and-philosophy-behind-tools-lateralus/comment-page-1#comment-240669</link>
		<dc:creator>g-house</dc:creator>
		<pubDate>Tue, 17 Feb 2009 18:10:52 +0000</pubDate>
		<guid isPermaLink="false">http://dmiessler.com/blogarchive/the-math-and-philosophy-behind-tools-lateralus#comment-240669</guid>
		<description>&lt;p&gt;thats fuckin cool man&lt;/p&gt;
</description>
		<content:encoded><![CDATA[<p>thats fuckin cool man</p>]]></content:encoded>
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