First Five Octaves of the Harmonic Series - Revision history

BudjarnLambeth: Moved from category "overtone" to "harmonic"

2023-04-28T09:20:23Z

Moved from category "overtone" to "harmonic"

← Older revision		Revision as of 09:20, 28 April 2023
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	[[Category:Harmonic series]]		[[Category:Harmonic series]]
	[[Category:Just intonation]]		[[Category:Just intonation]]
	[[Category:~~Overtone~~]]		[[Category:Harmonic]]

Xenwolf: recat

2020-12-05T14:20:18Z

recat

← Older revision		Revision as of 14:20, 5 December 2020
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	[[Category:Harmonic series]]		[[Category:Harmonic series]]
	[[Category:Just]]		[[Category:Just intonation]]
	[[Category:Overtone]]		[[Category:Overtone]]

Xenwolf: removed redundant category

2020-12-05T12:21:21Z

removed redundant category

← Older revision		Revision as of 12:21, 5 December 2020
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	[[File:firstfiveoctavesHarmonicSeries20100410.jpg\|alt=firstfiveoctavesHarmonicSeries20100410.jpg\|firstfiveoctavesHarmonicSeries20100410.jpg]]		[[File:firstfiveoctavesHarmonicSeries20100410.jpg\|alt=firstfiveoctavesHarmonicSeries20100410.jpg\|firstfiveoctavesHarmonicSeries20100410.jpg]]

	...the same in PDF form: [[:File:firstfiveoctavesHarmonicSeries20100410.pdf\|firstfiveoctavesHarmonicSeries20100410.pdf]] ~~[[Category:harmonic_series]]~~		...the same in PDF form: [[:File:firstfiveoctavesHarmonicSeries20100410.pdf\|firstfiveoctavesHarmonicSeries20100410.pdf]]
	[[Category:~~just~~]]
	[[Category:~~overtone~~]]		[[Category:Harmonic series]]
	[[Category:~~overtone_series~~]]		[[Category:Just]]
			[[Category:Overtone]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

← Older revision		Revision as of 00:00, 17 July 2018
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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:
	~~<~~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~~>~~		<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]] [[Category:harmonic_series]]
			[[Category:just]]
	...the same in PDF form: [[~~file~~:firstfiveoctavesHarmonicSeries20100410.pdf]]~~</pre></div>~~		[[Category:overtone]]
	~~<h4>Original HTML content~~:~~</h4>~~		[[Category:overtone_series]]
	~~<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"><html><head><title>First Five Octaves of the Harmonic Series</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="The first five octaves of the harmonic series!"></a><!-- ws:end:WikiTextHeadingRule:0 -->The first five octaves of the harmonic series!</h1>
	~~<br />~~
	~~Dante Rosati writes~~:~~<br />~~
	~~<span style="color~~: #653900; font-family: 'Helvetica Neue',Arial,Helvetica,sans-serif; line-height: 18px;"><em>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 &quot;dominant seventh&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 &quot;diatonic harmonic series scale&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.</em><br />
	~~</span><br />~~
	~~Andrew Heathwaite makes an accompanying diagram:<br />~~
	~~<br />~~
	~~<br />~~
	<!-- ws:start:WikiTextLocalImageRule:2:&lt;img src=&quot;/file/view/firstfiveoctavesHarmonicSeries20100410.jpg/133473333/firstfiveoctavesHarmonicSeries20100410.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/firstfiveoctavesHarmonicSeries20100410.jpg/133473333/firstfiveoctavesHarmonicSeries20100410.jpg" alt="firstfiveoctavesHarmonicSeries20100410.jpg" title="firstfiveoctavesHarmonicSeries20100410.jpg" /><!-- ws:end:WikiTextLocalImageRule:2 --><br />
	~~<br />~~
	...the same in PDF form: <!-- ws:start:WikiTextFileRule:3:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/firstfiveoctavesHarmonicSeries20100410.pdf?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@firstfiveoctavesHarmonicSeries20100410.pdf&quot; title=&quot;File: firstfiveoctavesHarmonicSeries20100410.pdf&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/firstfiveoctavesHarmonicSeries20100410.pdf/133473393/firstfiveoctavesHarmonicSeries20100410.pdf" onclick="ws.common.trackFileLink('/file/view/firstfiveoctavesHarmonicSeries20100410.pdf/133473393/firstfiveoctavesHarmonicSeries20100410.pdf');"><img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="firstfiveoctavesHarmonicSeries20100410.pdf" /></a><div><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">firstfiveoctavesHarmonicSeries20100410.pdf</a><br /><ul><li><a href="/file/detail/firstfiveoctavesHarmonicSeries20100410.pdf">Details</a></li><li><a href="/file/view/firstfiveoctavesHarmonicSeries20100410.pdf/133473393/firstfiveoctavesHarmonicSeries20100410.pdf">Download</a></li><li style="color: #666">304 KB</li></ul></div></div><!-- ws:end:WikiTextFileRule:3 --></body></html></pre></div>

Wikispaces>Andrew_Heathwaite: Imported revision 133473431 - Original comment:

2010-04-10T22:50:13Z

**Imported revision 133473431 - Original comment: **

← Older revision		Revision as of 22:50, 10 April 2010
Line 1:		Line 1:
	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
	This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>		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-~~07 19~~:45:50 UTC</tt>.<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>~~132889043~~</tt>.<br>		: The original revision id was <tt>133473431</tt>.<br>
	: The revision comment was: <tt></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>		The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
Line 14:		Line 14:


	[[image:~~firstfiveoctavesHarmonicSeries~~.jpg]]		[[image:firstfiveoctavesHarmonicSeries20100410.jpg]]

	...the same in PDF form: [[file:~~firstfiveoctavesHarmonicSeries~~.pdf]].</pre></div>		...the same in PDF form: [[file:firstfiveoctavesHarmonicSeries20100410.pdf]]</pre></div>
	<h4>Original HTML content:</h4>		<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>First Five Octaves of the Harmonic Series</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="The first five octaves of the harmonic series!"></a><!-- ws:end:WikiTextHeadingRule:0 -->The first five octaves of the harmonic series!</h1>		<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"><html><head><title>First Five Octaves of the Harmonic Series</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="The first five octaves of the harmonic series!"></a><!-- ws:end:WikiTextHeadingRule:0 -->The first five octaves of the harmonic series!</h1>
Line 26:		Line 26:
	<br />		<br />
	<br />		<br />
	<!-- ws:start:WikiTextLocalImageRule:2:&lt;img src=&quot;/file/view/~~firstfiveoctavesHarmonicSeries~~.jpg/~~132888561~~/~~firstfiveoctavesHarmonicSeries~~.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/~~firstfiveoctavesHarmonicSeries~~.jpg/~~132888561~~/~~firstfiveoctavesHarmonicSeries~~.jpg" alt="~~firstfiveoctavesHarmonicSeries~~.jpg" title="~~firstfiveoctavesHarmonicSeries~~.jpg" /><!-- ws:end:WikiTextLocalImageRule:2 --><br />		<!-- ws:start:WikiTextLocalImageRule:2:&lt;img src=&quot;/file/view/firstfiveoctavesHarmonicSeries20100410.jpg/133473333/firstfiveoctavesHarmonicSeries20100410.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/firstfiveoctavesHarmonicSeries20100410.jpg/133473333/firstfiveoctavesHarmonicSeries20100410.jpg" alt="firstfiveoctavesHarmonicSeries20100410.jpg" title="firstfiveoctavesHarmonicSeries20100410.jpg" /><!-- ws:end:WikiTextLocalImageRule:2 --><br />
	<br />		<br />
	...the same in PDF form: <!-- ws:start:WikiTextFileRule:3:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/~~firstfiveoctavesHarmonicSeries~~.pdf?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@~~firstfiveoctavesHarmonicSeries~~.pdf&quot; title=&quot;File: ~~firstfiveoctavesHarmonicSeries~~.pdf&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/~~firstfiveoctavesHarmonicSeries~~.pdf/~~132888937~~/~~firstfiveoctavesHarmonicSeries~~.pdf" onclick="ws.common.trackFileLink('/file/view/~~firstfiveoctavesHarmonicSeries~~.pdf/~~132888937~~/~~firstfiveoctavesHarmonicSeries~~.pdf');"><img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="~~firstfiveoctavesHarmonicSeries~~.pdf" /></a><div><a href="/file/view/~~firstfiveoctavesHarmonicSeries~~.pdf/~~132888937~~/~~firstfiveoctavesHarmonicSeries~~.pdf" onclick="ws.common.trackFileLink('/file/view/~~firstfiveoctavesHarmonicSeries~~.pdf/~~132888937~~/~~firstfiveoctavesHarmonicSeries~~.pdf');" class="filename" title="~~firstfiveoctavesHarmonicSeries~~.pdf">~~firstfiveoctavesHarmonicSeries~~.pdf</a><br /><ul><li><a href="/file/detail/~~firstfiveoctavesHarmonicSeries~~.pdf">Details</a></li><li><a href="/file/view/~~firstfiveoctavesHarmonicSeries~~.pdf/~~132888937~~/~~firstfiveoctavesHarmonicSeries~~.pdf">Download</a></li><li style="color: #666">~~284~~ KB</li></ul></div></div><!-- ws:end:WikiTextFileRule:3 -->.</body></html></pre></div>		...the same in PDF form: <!-- ws:start:WikiTextFileRule:3:&lt;img src=&quot;http://www.wikispaces.com/site/embedthumbnail/file/firstfiveoctavesHarmonicSeries20100410.pdf?h=52&amp;w=320&quot; class=&quot;WikiFile&quot; id=&quot;wikitext@@file@@firstfiveoctavesHarmonicSeries20100410.pdf&quot; title=&quot;File: firstfiveoctavesHarmonicSeries20100410.pdf&quot; width=&quot;320&quot; height=&quot;52&quot; /&gt; --><div class="objectEmbed"><a href="/file/view/firstfiveoctavesHarmonicSeries20100410.pdf/133473393/firstfiveoctavesHarmonicSeries20100410.pdf" onclick="ws.common.trackFileLink('/file/view/firstfiveoctavesHarmonicSeries20100410.pdf/133473393/firstfiveoctavesHarmonicSeries20100410.pdf');"><img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="firstfiveoctavesHarmonicSeries20100410.pdf" /></a><div><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">firstfiveoctavesHarmonicSeries20100410.pdf</a><br /><ul><li><a href="/file/detail/firstfiveoctavesHarmonicSeries20100410.pdf">Details</a></li><li><a href="/file/view/firstfiveoctavesHarmonicSeries20100410.pdf/133473393/firstfiveoctavesHarmonicSeries20100410.pdf">Download</a></li><li style="color: #666">304 KB</li></ul></div></div><!-- ws:end:WikiTextFileRule:3 --></body></html></pre></div>

Wikispaces>Andrew_Heathwaite: Imported revision 132889043 - Original comment:

2010-04-07T19:45:50Z

**Imported revision 132889043 - Original comment: **

New page

<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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>2010-04-07 19:45:50 UTC</tt>.<br>
: The original revision id was <tt>132889043</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:
<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:

[[image:firstfiveoctavesHarmonicSeries.jpg]]

...the same in PDF form: [[file:firstfiveoctavesHarmonicSeries.pdf]].</pre></div>
<h4>Original HTML 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;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>First Five Octaves of the Harmonic Series</title></head><body><h1 id="toc0"><a name="The first five octaves of the harmonic series!"></a>The first five octaves of the harmonic series!</h1>
<br />
Dante Rosati writes:<br />
<span style="color: #653900; font-family: 'Helvetica Neue',Arial,Helvetica,sans-serif; line-height: 18px;"><em>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 &quot;dominant seventh&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 &quot;diatonic harmonic series scale&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.</em><br />
</span><br />
Andrew Heathwaite makes an accompanying diagram:<br />
<br />
<br />
<img src="/file/view/firstfiveoctavesHarmonicSeries.jpg/132888561/firstfiveoctavesHarmonicSeries.jpg" alt="firstfiveoctavesHarmonicSeries.jpg" title="firstfiveoctavesHarmonicSeries.jpg" /><br />
<br />
...the same in PDF form: <div class="objectEmbed"><a href="/file/view/firstfiveoctavesHarmonicSeries.pdf/132888937/firstfiveoctavesHarmonicSeries.pdf" onclick="ws.common.trackFileLink('/file/view/firstfiveoctavesHarmonicSeries.pdf/132888937/firstfiveoctavesHarmonicSeries.pdf');"><img src="http://www.wikispaces.com/i/mime/32/application/pdf.png" height="32" width="32" alt="firstfiveoctavesHarmonicSeries.pdf" /></a><div><a href="/file/view/firstfiveoctavesHarmonicSeries.pdf/132888937/firstfiveoctavesHarmonicSeries.pdf" onclick="ws.common.trackFileLink('/file/view/firstfiveoctavesHarmonicSeries.pdf/132888937/firstfiveoctavesHarmonicSeries.pdf');" class="filename" title="firstfiveoctavesHarmonicSeries.pdf">firstfiveoctavesHarmonicSeries.pdf</a><br /><ul><li><a href="/file/detail/firstfiveoctavesHarmonicSeries.pdf">Details</a></li><li><a href="/file/view/firstfiveoctavesHarmonicSeries.pdf/132888937/firstfiveoctavesHarmonicSeries.pdf">Download</a></li><li style="color: #666">284 KB</li></ul></div></div>.</body></html></pre></div>