Unidec/Chords - Revision history

Lériendil: Lériendil moved page Chords of unidec to Unidec/Chords

2025-06-22T21:52:48Z

Lériendil moved page Chords of unidec to Unidec/Chords

← Older revision	Revision as of 21:52, 22 June 2025
(No difference)

FloraC: Recategorize

2023-05-23T11:39:31Z

Recategorize

← Older revision		Revision as of 11:39, 23 May 2023
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	[[Category:Lists of chords]]		[[Category:Lists of chords]]
	[[Category:Unidec]]		[[Category:Unidec]]
	[[Category:~~Triad~~]]		[[Category:Triads]]
	[[Category:~~Tetrad~~]]		[[Category:Tetrads]]
	[[Category:~~Pentad~~]]		[[Category:Pentads]]
	[[Category:~~Hexad~~]]		[[Category:Hexads]]

Fredg999 category edits: Moving from Category:Chords to Category:Lists of chords using Cat-a-lot

2023-04-28T03:50:20Z

Moving from Category:Chords to Category:Lists of chords using Cat-a-lot

← Older revision		Revision as of 03:50, 28 April 2023
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	\|}		\|}

	[[Category:~~Chords~~]]		[[Category:Lists of chords]]
	[[Category:Unidec]]		[[Category:Unidec]]
	[[Category:Triad]]		[[Category:Triad]]

FloraC: Cleanup; +links; +categories

2021-03-07T10:47:23Z

Cleanup; +links; +categories

Show changes

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

Show changes

Wikispaces>genewardsmith: Imported revision 288514222 - Original comment:

2011-12-26T15:49:33Z

**Imported revision 288514222 - Original comment: **

← Older revision		Revision as of 15:49, 26 December 2011
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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>2011-12-26 15:48:41 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-12-26 15:49:33 UTC</tt>.<br>
	: The original revision id was <tt>~~288514164~~</tt>.<br>		: The original revision id was <tt>288514222</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>
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	The normal mapping for unidec is uni = [<2 5 8 5 6\|, <0 -6 -11 2 3\|]. From this we may derive a val v = uni[1] + 100 uni[2] = <2 -595 -1092 205 306\| which we may use to sort and normalize the chords of harry. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.		The normal mapping for unidec is uni = [<2 5 8 5 6\|, <0 -6 -11 2 3\|]. From this we may derive a val v = uni[1] + 100 uni[2] = <2 -595 -1092 205 306\| which we may use to sort and normalize the chords of harry. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.

	Unidec has MOS of size 6, 20, 26, 46, and 72. Even the six-note MOS has some werckismic triads, and there are many more in the twenty note MOS, including many of the werckismic tetrad of complexity six and the keenanismic tetrad of complexity ten, which are likely to figure large in any composition in unidec. The essentially tempered chords of unidec either temper out 441/440 or 385/384; putting these together produces portent temperament, but there are no essentially portent chords. Adding the small ragisma, 4375/4374, to the commas of portent gives unidec, with very little additional tuning damage. Unidec is, in fact, quite an accurate temperament even compared to such things as miracle, but still has enough give in it to allow for some interesting essential tempering.		Unidec has MOS of size 6, 20, 26, 46, and 72. Even the six-note MOS has some werckismic triads, and there are many more chords in the twenty note MOS, including many of the werckismic tetrad of complexity six and the keenanismic tetrad of complexity ten, which are likely to figure large in any composition in unidec. The essentially tempered chords of unidec either temper out 441/440 or 385/384; putting these together produces portent temperament, but there are no essentially portent chords. Adding the small ragisma, 4375/4374, to the commas of portent gives unidec, with very little additional tuning damage. Unidec is, in fact, quite an accurate temperament even compared to such things as miracle, but still has enough give in it to allow for some interesting essential tempering.


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	The normal mapping for unidec is uni = [&lt;2 5 8 5 6\|, &lt;0 -6 -11 2 3\|]. From this we may derive a val v = uni[1] + 100 uni[2] = &lt;2 -595 -1092 205 306\| which we may use to sort and normalize the chords of harry. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.<br />		The normal mapping for unidec is uni = [&lt;2 5 8 5 6\|, &lt;0 -6 -11 2 3\|]. From this we may derive a val v = uni[1] + 100 uni[2] = &lt;2 -595 -1092 205 306\| which we may use to sort and normalize the chords of harry. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.<br />
	<br />		<br />
	Unidec has MOS of size 6, 20, 26, 46, and 72. Even the six-note MOS has some werckismic triads, and there are many more in the twenty note MOS, including many of the werckismic tetrad of complexity six and the keenanismic tetrad of complexity ten, which are likely to figure large in any composition in unidec. The essentially tempered chords of unidec either temper out 441/440 or 385/384; putting these together produces portent temperament, but there are no essentially portent chords. Adding the small ragisma, 4375/4374, to the commas of portent gives unidec, with very little additional tuning damage. Unidec is, in fact, quite an accurate temperament even compared to such things as miracle, but still has enough give in it to allow for some interesting essential tempering.<br />		Unidec has MOS of size 6, 20, 26, 46, and 72. Even the six-note MOS has some werckismic triads, and there are many more chords in the twenty note MOS, including many of the werckismic tetrad of complexity six and the keenanismic tetrad of complexity ten, which are likely to figure large in any composition in unidec. The essentially tempered chords of unidec either temper out 441/440 or 385/384; putting these together produces portent temperament, but there are no essentially portent chords. Adding the small ragisma, 4375/4374, to the commas of portent gives unidec, with very little additional tuning damage. Unidec is, in fact, quite an accurate temperament even compared to such things as miracle, but still has enough give in it to allow for some interesting essential tempering.<br />
	<br />		<br />
	<br />		<br />

Wikispaces>genewardsmith: Imported revision 288514164 - Original comment:

2011-12-26T15:48:41Z

**Imported revision 288514164 - Original comment: **

Wikispaces>genewardsmith: Imported revision 288514142 - Original comment:

2011-12-26T15:48:20Z

**Imported revision 288514142 - Original comment: **

Wikispaces>genewardsmith: Imported revision 288514080 - Original comment:

2011-12-26T15:47:37Z

**Imported revision 288514080 - Original comment: **

Show changes

← Older revision		Revision as of 15:48, 26 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>2011-12-26 15:48:20 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-12-26 15:48:41 UTC</tt>.<br>
	: The original revision id was <tt>~~288514142~~</tt>.<br>		: The original revision id was <tt>288514164</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>
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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;white-space: pre-wrap ! important" class="old-revision-html">Below are listed the [[Dyadic chord\|dyadic chords]] of 11-limit [[Gamelismic clan#Unidec\|unidec temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 441/440 are labeled werckismic, and by 385/384 keenanismic.		<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 [[Gamelismic clan#Unidec\|unidec temperament]]. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 441/440 are labeled werckismic, and by 385/384 keenanismic.

	The normal mapping for unidec is uni = [<2 5 8 5 6\|, <0 -6 -11 2 3\|]. From this we may derive a val v = uni[1] + uni[2] = <2 -595 -1092 205 306\| which we may use to sort and normalize the chords of harry. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.		The normal mapping for unidec is uni = [<2 5 8 5 6\|, <0 -6 -11 2 3\|]. From this we may derive a val v = uni[1] + 100 uni[2] = <2 -595 -1092 205 306\| which we may use to sort and normalize the chords of harry. Under "Chord" is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.

	Unidec has MOS of size 6, 20, 26, 46, and 72. Even the six-note MOS has some werckismic triads, and there are many more in the twenty note MOS, including many of the werckismic tetrad of complexity six and the keenanismic tetrad of complexity ten, which are likely to figure large in any composition in unidec. The essentially tempered chords of unidec either temper out 441/440 or 385/384; putting these together produces portent temperament, but there are no essentially portent chords. Adding the small ragisma, 4375/4374, to the commas of portent gives unidec, with very little additional tuning damage. Unidec is, in fact, quite an accurate temperament even compared to such things as miracle, but still has enough give in it to allow for some interesting essential tempering.		Unidec has MOS of size 6, 20, 26, 46, and 72. Even the six-note MOS has some werckismic triads, and there are many more in the twenty note MOS, including many of the werckismic tetrad of complexity six and the keenanismic tetrad of complexity ten, which are likely to figure large in any composition in unidec. The essentially tempered chords of unidec either temper out 441/440 or 385/384; putting these together produces portent temperament, but there are no essentially portent chords. Adding the small ragisma, 4375/4374, to the commas of portent gives unidec, with very little additional tuning damage. Unidec is, in fact, quite an accurate temperament even compared to such things as miracle, but still has enough give in it to allow for some interesting essential tempering.
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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 unidec</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="/Gamelismic%20clan#Unidec">unidec temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 441/440 are labeled werckismic, and by 385/384 keenanismic. <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 unidec</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="/Gamelismic%20clan#Unidec">unidec temperament</a>. The essentially just chords are typed as otonal, utonal, or ambitonal. Those requiring tempering by 441/440 are labeled werckismic, and by 385/384 keenanismic. <br />
	<br />		<br />
	The normal mapping for unidec is uni = [&lt;2 5 8 5 6\|, &lt;0 -6 -11 2 3\|]. From this we may derive a val v = uni[1] + uni[2] = &lt;2 -595 -1092 205 306\| which we may use to sort and normalize the chords of harry. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.<br />		The normal mapping for unidec is uni = [&lt;2 5 8 5 6\|, &lt;0 -6 -11 2 3\|]. From this we may derive a val v = uni[1] + 100 uni[2] = &lt;2 -595 -1092 205 306\| which we may use to sort and normalize the chords of harry. Under &quot;Chord&quot; is listed the chord, normalized to start from zero, in the mapping by v. If we look at the highest, rightmost, element of the chord, divide that by 100, round, and multiply by 2, we get the Graham complexity of the chord. Redundantly for the sake of convenience, the Graham complexity is listed in the last column.<br />
	<br />		<br />
	Unidec has MOS of size 6, 20, 26, 46, and 72. Even the six-note MOS has some werckismic triads, and there are many more in the twenty note MOS, including many of the werckismic tetrad of complexity six and the keenanismic tetrad of complexity ten, which are likely to figure large in any composition in unidec. The essentially tempered chords of unidec either temper out 441/440 or 385/384; putting these together produces portent temperament, but there are no essentially portent chords. Adding the small ragisma, 4375/4374, to the commas of portent gives unidec, with very little additional tuning damage. Unidec is, in fact, quite an accurate temperament even compared to such things as miracle, but still has enough give in it to allow for some interesting essential tempering.<br />		Unidec has MOS of size 6, 20, 26, 46, and 72. Even the six-note MOS has some werckismic triads, and there are many more in the twenty note MOS, including many of the werckismic tetrad of complexity six and the keenanismic tetrad of complexity ten, which are likely to figure large in any composition in unidec. The essentially tempered chords of unidec either temper out 441/440 or 385/384; putting these together produces portent temperament, but there are no essentially portent chords. Adding the small ragisma, 4375/4374, to the commas of portent gives unidec, with very little additional tuning damage. Unidec is, in fact, quite an accurate temperament even compared to such things as miracle, but still has enough give in it to allow for some interesting essential tempering.<br />

Unidec/Chords - Revision history

Lériendil: Lériendil moved page Chords of unidec to Unidec/Chords

FloraC: Recategorize

Fredg999 category edits: Moving from Category:Chords to Category:Lists of chords using Cat-a-lot

FloraC: Cleanup; +links; +categories

Wikispaces>FREEZE at 00:00, 17 July 2018

Wikispaces>genewardsmith: **Imported revision 288514222 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 288514164 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 288514142 - Original comment: **

Wikispaces>genewardsmith: **Imported revision 288514080 - Original comment: **

Wikispaces>genewardsmith: Imported revision 288514222 - Original comment:

Wikispaces>genewardsmith: Imported revision 288514164 - Original comment:

Wikispaces>genewardsmith: Imported revision 288514142 - Original comment:

Wikispaces>genewardsmith: Imported revision 288514080 - Original comment: