First Five Octaves of the Harmonic Series: Difference between revisions

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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
=The first five octaves of the harmonic series!=
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
: This revision was by author [[User:Andrew_Heathwaite|Andrew_Heathwaite]] and made on <tt>2010-04-10 22:50:13 UTC</tt>.<br>
: The original revision id was <tt>133473431</tt>.<br>
: The revision comment was: <tt></tt><br>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">=The first five octaves of the harmonic series!=  


Dante Rosati writes:
Dante Rosati writes:
&lt;span style="color: #653900; font-family: 'Helvetica Neue',Arial,Helvetica,sans-serif; line-height: 18px;"&gt;//Each octave of the harmonic series introduces something new. The first octave contains only the fundamental (1) and is the single source of all. The second octave adds the 5th (2:3), which is the One hypostatizing and knowing itself. The third octave (4:5:6:7) not only begins the process of differentiating the space between the One and its hypostases (5) but also the space that manifestation projects forward in its return to the One (7). In a musical context, this octave introduces the chord, not as triad but as "dominant seventh", showing that the brothers in the 20th century, in making this chord the fundamental chord of the blues, have their pulses firmly attuned to the cosmos. The fourth octave (8-15) I call the "diatonic harmonic series scale" since its 8 notes is in the realm of our 7 note scale. The 16 note fifth octave (16-31), I would call the Chromatic Harmonic Series scale for the same reason.//
 
&lt;/span&gt;
<span style="color: #653900; font-family: 'Helvetica Neue',Arial,Helvetica,sans-serif; line-height: 18px;">''Each octave of the harmonic series introduces something new. The first octave contains only the fundamental (1) and is the single source of all. The second octave adds the 5th (2:3), which is the One hypostatizing and knowing itself. The third octave (4:5:6:7) not only begins the process of differentiating the space between the One and its hypostases (5) but also the space that manifestation projects forward in its return to the One (7). In a musical context, this octave introduces the chord, not as triad but as "dominant seventh", showing that the brothers in the 20th century, in making this chord the fundamental chord of the blues, have their pulses firmly attuned to the cosmos. The fourth octave (8-15) I call the "diatonic harmonic series scale" since its 8 notes is in the realm of our 7 note scale. The 16 note fifth octave (16-31), I would call the Chromatic Harmonic Series scale for the same reason.''
 
</span>
 
Andrew Heathwaite makes an accompanying diagram:
Andrew Heathwaite makes an accompanying diagram:


[[File:firstfiveoctavesHarmonicSeries20100410.jpg|alt=firstfiveoctavesHarmonicSeries20100410.jpg|firstfiveoctavesHarmonicSeries20100410.jpg]]


[[image:firstfiveoctavesHarmonicSeries20100410.jpg]]
...the same in PDF form: [[:File:firstfiveoctavesHarmonicSeries20100410.pdf|firstfiveoctavesHarmonicSeries20100410.pdf]]


...the same in PDF form: [[file:firstfiveoctavesHarmonicSeries20100410.pdf]]</pre></div>
[[Category:Harmonic series]]
<h4>Original HTML content:</h4>
[[Category:Just intonation]]
<div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html">&lt;html&gt;&lt;head&gt;&lt;title&gt;First Five Octaves of the Harmonic Series&lt;/title&gt;&lt;/head&gt;&lt;body&gt;&lt;!-- ws:start:WikiTextHeadingRule:0:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc0"&gt;&lt;a name="The first five octaves of the harmonic series!"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:0 --&gt;The first five octaves of the harmonic series!&lt;/h1&gt;
[[Category:Harmonic]]
&lt;br /&gt;
Dante Rosati writes:&lt;br /&gt;
&lt;span style="color: #653900; font-family: 'Helvetica Neue',Arial,Helvetica,sans-serif; line-height: 18px;"&gt;&lt;em&gt;Each octave of the harmonic series introduces something new. The first octave contains only the fundamental (1) and is the single source of all. The second octave adds the 5th (2:3), which is the One hypostatizing and knowing itself. The third octave (4:5:6:7) not only begins the process of differentiating the space between the One and its hypostases (5) but also the space that manifestation projects forward in its return to the One (7). In a musical context, this octave introduces the chord, not as triad but as &amp;quot;dominant seventh&amp;quot;, showing that the brothers in the 20th century, in making this chord the fundamental chord of the blues, have their pulses firmly attuned to the cosmos. The fourth octave (8-15) I call the &amp;quot;diatonic harmonic series scale&amp;quot; since its 8 notes is in the realm of our 7 note scale. The 16 note fifth octave (16-31), I would call the Chromatic Harmonic Series scale for the same reason.&lt;/em&gt;&lt;br /&gt;
&lt;/span&gt;&lt;br /&gt;
Andrew Heathwaite makes an accompanying diagram:&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextLocalImageRule:2:&amp;lt;img src=&amp;quot;/file/view/firstfiveoctavesHarmonicSeries20100410.jpg/133473333/firstfiveoctavesHarmonicSeries20100410.jpg&amp;quot; alt=&amp;quot;&amp;quot; title=&amp;quot;&amp;quot; /&amp;gt; --&gt;&lt;img src="/file/view/firstfiveoctavesHarmonicSeries20100410.jpg/133473333/firstfiveoctavesHarmonicSeries20100410.jpg" alt="firstfiveoctavesHarmonicSeries20100410.jpg" title="firstfiveoctavesHarmonicSeries20100410.jpg" /&gt;&lt;!-- ws:end:WikiTextLocalImageRule:2 --&gt;&lt;br /&gt;
&lt;br /&gt;
...the same in PDF form: &lt;!-- ws:start:WikiTextFileRule:3:&amp;lt;img src=&amp;quot;http://www.wikispaces.com/site/embedthumbnail/file/firstfiveoctavesHarmonicSeries20100410.pdf?h=52&amp;amp;w=320&amp;quot; class=&amp;quot;WikiFile&amp;quot; id=&amp;quot;wikitext@@file@@firstfiveoctavesHarmonicSeries20100410.pdf&amp;quot; title=&amp;quot;File: firstfiveoctavesHarmonicSeries20100410.pdf&amp;quot; width=&amp;quot;320&amp;quot; height=&amp;quot;52&amp;quot; /&amp;gt; --&gt;&lt;div class="objectEmbed"&gt;&lt;a href="/file/view/firstfiveoctavesHarmonicSeries20100410.pdf/133473393/firstfiveoctavesHarmonicSeries20100410.pdf" onclick="ws.common.trackFileLink('/file/view/firstfiveoctavesHarmonicSeries20100410.pdf/133473393/firstfiveoctavesHarmonicSeries20100410.pdf');"&gt;&lt;img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="firstfiveoctavesHarmonicSeries20100410.pdf" /&gt;&lt;/a&gt;&lt;div&gt;&lt;a href="/file/view/firstfiveoctavesHarmonicSeries20100410.pdf/133473393/firstfiveoctavesHarmonicSeries20100410.pdf" onclick="ws.common.trackFileLink('/file/view/firstfiveoctavesHarmonicSeries20100410.pdf/133473393/firstfiveoctavesHarmonicSeries20100410.pdf');" class="filename" title="firstfiveoctavesHarmonicSeries20100410.pdf"&gt;firstfiveoctavesHarmonicSeries20100410.pdf&lt;/a&gt;&lt;br /&gt;&lt;ul&gt;&lt;li&gt;&lt;a href="/file/detail/firstfiveoctavesHarmonicSeries20100410.pdf"&gt;Details&lt;/a&gt;&lt;/li&gt;&lt;li&gt;&lt;a href="/file/view/firstfiveoctavesHarmonicSeries20100410.pdf/133473393/firstfiveoctavesHarmonicSeries20100410.pdf"&gt;Download&lt;/a&gt;&lt;/li&gt;&lt;li style="color: #666"&gt;304 KB&lt;/li&gt;&lt;/ul&gt;&lt;/div&gt;&lt;/div&gt;&lt;!-- ws:end:WikiTextFileRule:3 --&gt;&lt;/body&gt;&lt;/html&gt;</pre></div>