Chords of ennealimnic - Revision history

BudjarnLambeth: Removed category "ennealimmal"

2023-04-18T03:58:32Z

Removed category "ennealimmal"

← Older revision		Revision as of 03:58, 18 April 2023
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	~~[[Category:Ennealimmal]]~~
	[[Category:Dyadic chords]]		[[Category:Dyadic chords]]

BudjarnLambeth: Added to category "dyadic chords" and "ennealimmal"

2023-04-18T03:57:49Z

Added to category "dyadic chords" and "ennealimmal"

← Older revision		Revision as of 03:57, 18 April 2023
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	\| \| 45		\| \| 45
	\|}		\|}
			[[Category:Ennealimmal]]
			[[Category:Dyadic chords]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

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Wikispaces>genewardsmith: Imported revision 336380730 - Original comment:

2012-05-17T03:08:31Z

**Imported revision 336380730 - Original comment: **

Wikispaces>genewardsmith: Imported revision 336148654 - Original comment:

2012-05-16T16:42:19Z

**Imported revision 336148654 - Original comment: **

Wikispaces>genewardsmith: Imported revision 288855747 - Original comment:

2011-12-30T16:14:01Z

**Imported revision 288855747 - Original comment: **

Wikispaces>genewardsmith: Imported revision 288543916 - Original comment:

2011-12-27T02:19:02Z

**Imported revision 288543916 - Original comment: **

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← Older revision		Revision as of 03:08, 17 May 2012
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	<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:genewardsmith\|genewardsmith]] and made on <tt>2012-05-~~16 16~~:42:19 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-05-17 03:08:31 UTC</tt>.<br>
	: The original revision id was <tt>~~336148654~~</tt>.<br>		: The original revision id was <tt>336380730</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>
	<h4>Original Wikitext content:</h4>		<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">Below are listed the [[Dyadic chord\|dyadic chords]] of 11-limit [[Ragismic microtemperaments#Ennealimmal-~~Ennealimmic~~\|~~ennealimmic~~ temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.		<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">Below are listed the [[Dyadic chord\|dyadic chords]] of 11-limit [[Ragismic microtemperaments#Ennealimmal-Ennealimnic\|ennealimnic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.

	The normal mapping for ennealimnic is enn = [<9 1 1 12 -2\|, <0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = <9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering. Finally, the Graham complexity is listed in the last column.		The normal mapping for ennealimnic is enn = [<9 1 1 12 -2\|, <0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = <9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering. Finally, the Graham complexity is listed in the last column.
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	</pre></div>		</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>Chords of ennealimnic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-~~Ennealimmic~~">~~ennealimmic~~ temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.<br />		<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>Chords of ennealimnic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-Ennealimnic">ennealimnic temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.<br />
	<br />		<br />
	The normal mapping for ennealimnic is enn = [&lt;9 1 1 12 -2\|, &lt;0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = &lt;9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering. Finally, the Graham complexity is listed in the last column.<br />		The normal mapping for ennealimnic is enn = [&lt;9 1 1 12 -2\|, &lt;0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = &lt;9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering. Finally, the Graham complexity is listed in the last column.<br />

← Older revision		Revision as of 16:42, 16 May 2012
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	<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:genewardsmith\|genewardsmith]] and made on <tt>~~2011~~-12-30 16:14:01 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2012-05-16 16:42:19 UTC</tt>.<br>
	: The original revision id was <tt>~~288855747~~</tt>.<br>		: The original revision id was <tt>336148654</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 8:		Line 8:
	<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">Below are listed the [[Dyadic chord\|dyadic chords]] of 11-limit [[Ragismic microtemperaments#Ennealimmal-Ennealimmic\|ennealimmic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.		<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">Below are listed the [[Dyadic chord\|dyadic chords]] of 11-limit [[Ragismic microtemperaments#Ennealimmal-Ennealimmic\|ennealimmic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.

	The normal mapping for ~~ennealimic~~ is enn = [<9 1 1 12 -2\|, <0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = <9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering. Finally, the Graham complexity is listed in the last column.		The normal mapping for ennealimnic is enn = [<9 1 1 12 -2\|, <0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = <9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering. Finally, the Graham complexity is listed in the last column.

	Ennealimmic has MOS of size 18, 27, 45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.		Ennealimmic has MOS of size 18, 27, 45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.
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	<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>Chords of ennealimnic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-Ennealimmic">ennealimmic temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.<br />		<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>Chords of ennealimnic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-Ennealimmic">ennealimmic temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.<br />
	<br />		<br />
	The normal mapping for ~~ennealimic~~ is enn = [&lt;9 1 1 12 -2\|, &lt;0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = &lt;9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering. Finally, the Graham complexity is listed in the last column.<br />		The normal mapping for ennealimnic is enn = [&lt;9 1 1 12 -2\|, &lt;0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = &lt;9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering. Finally, the Graham complexity is listed in the last column.<br />
	<br />		<br />
	Ennealimmic has MOS of size 18, 27, 45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.<br />		Ennealimmic has MOS of size 18, 27, 45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.<br />

← Older revision		Revision as of 16:14, 30 December 2011
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:genewardsmith\|genewardsmith]] and made on <tt>2011-12-~~27 02~~:19:02 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-12-30 16:14:01 UTC</tt>.<br>
	: The original revision id was <tt>~~288543916~~</tt>.<br>		: The original revision id was <tt>288855747</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 8:		Line 8:
	<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">Below are listed the [[Dyadic chord\|dyadic chords]] of 11-limit [[Ragismic microtemperaments#Ennealimmal-Ennealimmic\|ennealimmic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.		<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">Below are listed the [[Dyadic chord\|dyadic chords]] of 11-limit [[Ragismic microtemperaments#Ennealimmal-Ennealimmic\|ennealimmic temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.

	The normal mapping for ennealimic is enn = [<9 1 1 12 -2\|, <0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = [9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ~~ennealimic~~ tempering. Finally, the Graham complexity is listed in the last column.		The normal mapping for ennealimic is enn = [<9 1 1 12 -2\|, <0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = <9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering. Finally, the Graham complexity is listed in the last column.

	Ennealimmic has MOS of size 18, 27, 45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.		Ennealimmic has MOS of size 18, 27, 45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.
Line 235:		Line 235:
	<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>Chords of ennealimnic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-Ennealimmic">ennealimmic temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.<br />		<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>Chords of ennealimnic</title></head><body>Below are listed the <a class="wiki_link" href="/Dyadic%20chord">dyadic chords</a> of 11-limit <a class="wiki_link" href="/Ragismic%20microtemperaments#Ennealimmal-Ennealimmic">ennealimmic temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering only by 540/539 are labeled swetismic, 441/440 werckismic, and by 243/242 rastmic. Those requiring tempering by any two of 540/539, 441/440 or 243/242 are labeled jove.<br />
	<br />		<br />
	The normal mapping for ennealimic is enn = [&lt;9 1 1 12 -2\|, &lt;0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = [9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ~~ennealimic~~ tempering. Finally, the Graham complexity is listed in the last column.<br />		The normal mapping for ennealimic is enn = [&lt;9 1 1 12 -2\|, &lt;0 2 3 2 5\|]. From this we may derive a val v = enn[1] + 100 enn[2] = &lt;9 201 301 212 498\| which we may use to sort and normalize the chords of ennealimmic. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v, and the nnextw column gives a transversal which tempers to the chord by ennealimmic tempering. Finally, the Graham complexity is listed in the last column.<br />
	<br />		<br />
	Ennealimmic has MOS of size 18, 27, 45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.<br />		Ennealimmic has MOS of size 18, 27, 45 and 72. It may be seen that the 18 note MOS has some triads and tetrads, and 27 considerably more.<br />

Chords of ennealimnic - Revision history

BudjarnLambeth: Removed category "ennealimmal"

BudjarnLambeth: Added to category "dyadic chords" and "ennealimmal"

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>genewardsmith: **Imported revision 336380730 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 336148654 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 288855747 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 288543916 - Original comment: **

Wikispaces>genewardsmith: Imported revision 336380730 - Original comment:

Wikispaces>genewardsmith: Imported revision 336148654 - Original comment:

Wikispaces>genewardsmith: Imported revision 288855747 - Original comment:

Wikispaces>genewardsmith: Imported revision 288543916 - Original comment: