Prodigy chords - Revision history

FloraC: Improve readability; recategorize

2024-10-15T14:06:08Z

Improve readability; recategorize

← Older revision		Revision as of 14:06, 15 October 2024
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	A '''prodigy chord''' is an [[11-odd-limit]] [[essentially tempered chord]] in [[prodigy]] temperament. Since [[441/440]] is tempered out in prodigy, [[werckismic chords]] are also prodigy chords, and since [[225/224]] is tempered out, the [[9-odd-limit]] [[marvel chords]] are prodigy chords. Aside from these, there are three more prodigy chords:		A '''prodigy chord''' is an [[11-odd-limit]] [[essentially tempered chord]] in [[prodigy]] temperament. Since [[441/440]] is tempered out in prodigy, [[werckismic chords]] are also prodigy chords, and since [[225/224]] is tempered out, the [[9-odd-limit]] [[marvel chords]] are prodigy chords. Aside from these, there are three more prodigy chords, with a palindromic tetrad:
	* ~~a 1-5~~/~~4-7~~/~~5-16~~/9 ~~tetrad~~ with steps 5/4-9/8-14/11-9/8;		* 1–5/4–7/5–16/9 with steps 5/4, 9/8, 14/11, 9/8;

	~~and~~ a pair of inversely related pentads:		And a pair of inversely related pentads:
	* ~~1-5~~/~~4-7~~/~~5-8~~/~~5-16~~/9 with steps 5/4-9/8-8/7-10/9-9/8;		* 1–5/4–7/5–8/5–16/9 with steps 5/4, 9/8, 8/7, 10/9, 9/8, and its inverse
	* ~~1-5~~/~~4-7~~/~~5-14~~/~~9-16~~/9 with steps 5/4-9/8-10/9-8/7-9/8.		* 1–5/4–7/5–14/9–16/9 with steps 5/4, 9/8, 10/9, 8/7, 9/8.

	== Miracle essentially tempered chords ==		== Miracle essentially tempered chords ==
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	* [[Chords of miracle]]		* [[Chords of miracle]]

	[[Category:11-odd-limit]]		[[Category:11-odd-limit chords]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Marvel]]		[[Category:Marvel]]
	[[Category:Prodigy]]		[[Category:Prodigy]]
	[[Category:Miracle]]		[[Category:Miracle]]

FloraC: -redundant category

2023-04-28T07:04:12Z

-redundant category

← Older revision		Revision as of 07:04, 28 April 2023
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	== Miracle essentially tempered chords ==		== Miracle essentially tempered chords ==
	{{~~main~~\| Miracle chords }}		{{Main\| Miracle chords }}

	11-limit [[miracle]] temperament tempers out an astonishing five commas which allow essential tempering: [[540/539]], 441/440, [[385/384]], [[243/242]] and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family #Jove, aka Wonder\|jove]] and [[undecimal marvel chords]]. Then there are the three listed above, and ten essentially miracle chords.		11-limit [[miracle]] temperament tempers out an astonishing five commas which allow essential tempering: [[540/539]], 441/440, [[385/384]], [[243/242]] and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family #Jove, aka Wonder\|jove]] and [[undecimal marvel chords]]. Then there are the three listed above, and ten essentially miracle chords.
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	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	~~[[Category:Dyadic]]~~
	[[Category:Marvel]]		[[Category:Marvel]]
	[[Category:Prodigy]]		[[Category:Prodigy]]
	[[Category:Miracle]]		[[Category:Miracle]]

Fredg999 category edits: Removing from Category:Chords using Cat-a-lot

2023-04-28T03:51:55Z

Removing from Category:Chords using Cat-a-lot

← Older revision		Revision as of 03:51, 28 April 2023
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	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	~~[[Category:Chords]]~~
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]

Xenwolf: recat

2021-05-20T08:34:18Z

recat

← Older revision		Revision as of 08:34, 20 May 2021
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	* [[Chords of miracle]]		* [[Chords of miracle]]

	[[Category:11-limit]]		[[Category:11-odd-limit]]
	[[Category:Chords]]		[[Category:Chords]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]

Xenwolf: simplify links, +cat

2021-05-20T07:22:03Z

simplify links, +cat

← Older revision		Revision as of 07:22, 20 May 2021
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	A '''prodigy chord''' is an [[11-odd-limit]] [[~~Dyadic chord\|~~essentially tempered chord]] in [[~~Marvel family #Prodigy\|~~prodigy ~~temperament~~]]. Since [[441/440]] is tempered out in prodigy, [[werckismic chords]] are also prodigy chords, and since [[225/224]] is tempered out, the [[9-odd-limit]] [[marvel chords]] are prodigy chords. Aside from these, there are three more prodigy chords:		A '''prodigy chord''' is an [[11-odd-limit]] [[essentially tempered chord]] in [[prodigy]] temperament. Since [[441/440]] is tempered out in prodigy, [[werckismic chords]] are also prodigy chords, and since [[225/224]] is tempered out, the [[9-odd-limit]] [[marvel chords]] are prodigy chords. Aside from these, there are three more prodigy chords:
	* a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8;		* a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8;

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	[[Category:11-limit]]		[[Category:11-limit]]
	[[Category:Chords]]		[[Category:Chords]]
			[[Category:Essentially tempered chords]]
	[[Category:Dyadic]]		[[Category:Dyadic]]
	[[Category:Marvel]]		[[Category:Marvel]]
	[[Category:Prodigy]]		[[Category:Prodigy]]
	[[Category:Miracle]]		[[Category:Miracle]]

FloraC: +link

2021-03-07T09:54:54Z

+link

← Older revision		Revision as of 09:54, 7 March 2021
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	== Miracle essentially tempered chords ==		== Miracle essentially tempered chords ==
			{{main\| Miracle chords }}

	11-limit [[miracle]] temperament tempers out an astonishing five commas which allow essential tempering: [[540/539]], 441/440, [[385/384]], [[243/242]] and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family #Jove, aka Wonder\|jove]] and [[undecimal marvel chords]]. Then there are the three listed above, and ten essentially miracle chords.		11-limit [[miracle]] temperament tempers out an astonishing five commas which allow essential tempering: [[540/539]], 441/440, [[385/384]], [[243/242]] and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family #Jove, aka Wonder\|jove]] and [[undecimal marvel chords]]. Then there are the three listed above, and ten essentially miracle chords.

FloraC: Readability improvement; +categories

2021-02-23T13:21:23Z

Readability improvement; +categories

← Older revision		Revision as of 13:21, 23 February 2021
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	A ''prodigy chord'' is an 11 odd limit [[~~Dyadic_chord~~\|essentially tempered chord]] in [[~~Marvel_family~~#Prodigy\|prodigy temperament]]. Since 441/440 is tempered out in prodigy, [[~~werckismic_chords\|~~werckismic chords]] are also prodigy chords, and since 225/224 is tempered out, the 9 odd limit marvel chords are prodigy chords. Aside from these, there are three more prodigy chords: a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8 ~~and a pair of inversely related pentads, 1-5/4-7/5-8/5-16/9 with steps 5/4-9/8-8/7-10/9-9/8 and 1-5/4-7/5-14/9-16/9 with steps 5/4-9/8-10/9-8/7-9/8.~~		A '''prodigy chord''' is an [[11-odd-limit]] [[Dyadic chord\|essentially tempered chord]] in [[Marvel family #Prodigy\|prodigy temperament]]. Since [[441/440]] is tempered out in prodigy, [[werckismic chords]] are also prodigy chords, and since [[225/224]] is tempered out, the [[9-odd-limit]] [[marvel chords]] are prodigy chords. Aside from these, there are three more prodigy chords:
			* a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8;

	=Miracle essentially tempered chords=		and a pair of inversely related pentads:
	~~[[Gamelismic_clan#Miracle\|~~11-limit miracle ~~temperament~~]] tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[~~Breed_family~~#Jove, aka Wonder\|jove]] and [[~~undecimal_marvel_chords\|~~undecimal marvel chords]]. Then there are the three listed above, and ten essentially miracle chords.		* 1-5/4-7/5-8/5-16/9 with steps 5/4-9/8-8/7-10/9-9/8;
			* 1-5/4-7/5-14/9-16/9 with steps 5/4-9/8-10/9-8/7-9/8.

			== Miracle essentially tempered chords ==
			11-limit [[miracle]] temperament tempers out an astonishing five commas which allow essential tempering: [[540/539]], 441/440, [[385/384]], [[243/242]] and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family #Jove, aka Wonder\|jove]] and [[undecimal marvel chords]]. Then there are the three listed above, and ten essentially miracle chords.

	Three chords may not seem to be many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 76, pentads: 38, and hexads: 12. There are therefore actually more essentially tempered chords than just ones.		Three chords may not seem to be many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 76, pentads: 38, and hexads: 12. There are therefore actually more essentially tempered chords than just ones.

	EDOs supporting prodigy/miracle include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde, 463bcde.		EDOs supporting prodigy/miracle include {{EDOs\| 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde, 463bcde }}.

			== See also ==
			* [[Chords of miracle]]

	~~See also~~: [[~~Chords_of_miracle\|chords of miracle~~]]		[[Category:11-limit]]
			[[Category:Chords]]
			[[Category:Dyadic]]
			[[Category:Marvel]]
			[[Category:Prodigy]]
			[[Category:Miracle]]

Wikispaces>FREEZE at 00:00, 17 July 2018

2018-07-17T00:00:00Z

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+A ''prodigy chord'' is an 11 odd limit [[Dyadic_chord|essentially tempered chord]] in [[Marvel_family#Prodigy|prodigy temperament]]. Since 441/440 is tempered out in prodigy, [[werckismic_chords|werckismic chords]] are also prodigy chords, and since 225/224 is tempered out, the 9 odd limit marvel chords are prodigy chords. Aside from these, there are three more prodigy chords: a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8 and a pair of inversely related pentads, 1-5/4-7/5-8/5-16/9 with steps 5/4-9/8-8/7-10/9-9/8 and 1-5/4-7/5-14/9-16/9 with steps 5/4-9/8-10/9-8/7-9/8.
 =Miracle essentially tempered chords=
-[[Gamelismic clan#Miracle|11-limit miracle temperament]] tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family#Jove,%20aka%20Wonder|jove]] and [[undecimal marvel chords]]. Then there are the three listed above, and ten essentially miracle chords.
+[[Gamelismic_clan#Miracle|11-limit miracle temperament]] tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed_family#Jove, aka Wonder|jove]] and [[undecimal_marvel_chords|undecimal marvel chords]]. Then there are the three listed above, and ten essentially miracle chords.
 Three chords may not seem to be many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 76, pentads: 38, and hexads: 12. There are therefore actually more essentially tempered chords than just ones.
@@ Line 15: / Line 8: @@
 EDOs supporting prodigy/miracle include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde, 463bcde.
-See also: [[chords of miracle]]</pre></div>
+See also: [[Chords_of_miracle|chords of miracle]]

Wikispaces>Andrew_Heathwaite: Imported revision 396150304 - Original comment:

2013-01-06T13:16:04Z

**Imported revision 396150304 - Original comment: **

← Older revision		Revision as of 13:16, 6 January 2013
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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>2013-01-06 13:10:43 UTC</tt>.<br>		: This revision was by author [[User:Andrew_Heathwaite\|Andrew_Heathwaite]] and made on <tt>2013-01-06 13:16:04 UTC</tt>.<br>
	: The original revision id was <tt>~~396149552~~</tt>.<br>		: The original revision id was <tt>396150304</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">A //prodigy chord// is an 11 odd limit [[Dyadic chord\|essentially tempered chord]] in [[Marvel family#Prodigy\|prodigy temperament]]. Since 441/440 is tempered out in prodigy, [[werckismic chords]] are also prodigy chords, and since 225/224 is tempered out, the 9 odd limit marvel chords are prodigy chords. Aside from these, there are three more prodigy chords: a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8 and a pair of inversely related pentads, 1-5/4-7/5-8/5-16/9 with steps 5/4-9/8-8/7-10/9-9/8 and 1-5/4-7/5-14/9-16/9 with steps 5/4-9/8-10/9-8/7-9/8.		<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">A //prodigy chord// is an 11 odd limit [[Dyadic chord\|essentially tempered chord]] in [[Marvel family#Prodigy\|prodigy temperament]]. Since 441/440 is tempered out in prodigy, [[werckismic chords]] are also prodigy chords, and since 225/224 is tempered out, the 9 odd limit marvel chords are prodigy chords. Aside from these, there are three more prodigy chords: a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8 and a pair of inversely related pentads, 1-5/4-7/5-8/5-16/9 with steps 5/4-9/8-8/7-10/9-9/8 and 1-5/4-7/5-14/9-16/9 with steps 5/4-9/8-10/9-8/7-9/8.

	=Miracle essentially tempered chords=		=Miracle essentially tempered chords=
	[[Gamelismic clan#Miracle\|11-limit miracle temperament]] tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family#Jove, ~~aka Wonder~~\|jove]] and [[undecimal marvel chords]]. Then there are the three listed above, and ten essentially miracle chords.		[[Gamelismic clan#Miracle\|11-limit miracle temperament]] tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family#Jove,%20aka%20Wonder\|jove]] and [[undecimal marvel chords]]. Then there are the three listed above, and ten essentially miracle chords.

	Three chords may not seem to be many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 76, pentads: 38, and hexads: 12. There are therefore actually more essentially tempered chords than just ones.		Three chords may not seem to be many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 76, pentads: 38, and hexads: 12. There are therefore actually more essentially tempered chords than just ones.

	EDOs supporting prodigy/miracle include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde, 463bcde.</pre></div>		EDOs supporting prodigy/miracle include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde, 463bcde.

			See also: [[chords of miracle]]</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>prodigy chords</title></head><body>A <em>prodigy chord</em> is an 11 odd limit <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a> in <a class="wiki_link" href="/Marvel%20family#Prodigy">prodigy temperament</a>. Since 441/440 is tempered out in prodigy, <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a> are also prodigy chords, and since 225/224 is tempered out, the 9 odd limit marvel chords are prodigy chords. Aside from these, there are three more prodigy chords: a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8 and a pair of inversely related pentads, 1-5/4-7/5-8/5-16/9 with steps 5/4-9/8-8/7-10/9-9/8 and 1-5/4-7/5-14/9-16/9 with steps 5/4-9/8-10/9-8/7-9/8.<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>prodigy chords</title></head><body>A <em>prodigy chord</em> is an 11 odd limit <a class="wiki_link" href="/Dyadic%20chord">essentially tempered chord</a> in <a class="wiki_link" href="/Marvel%20family#Prodigy">prodigy temperament</a>. Since 441/440 is tempered out in prodigy, <a class="wiki_link" href="/werckismic%20chords">werckismic chords</a> are also prodigy chords, and since 225/224 is tempered out, the 9 odd limit marvel chords are prodigy chords. Aside from these, there are three more prodigy chords: a 1-5/4-7/5-16/9 tetrad with steps 5/4-9/8-14/11-9/8 and a pair of inversely related pentads, 1-5/4-7/5-8/5-16/9 with steps 5/4-9/8-8/7-10/9-9/8 and 1-5/4-7/5-14/9-16/9 with steps 5/4-9/8-10/9-8/7-9/8.<br />
	<br />		<br />
	<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Miracle essentially tempered chords"></a><!-- ws:end:WikiTextHeadingRule:0 -->Miracle essentially tempered chords</h1>		<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Miracle essentially tempered chords"></a><!-- ws:end:WikiTextHeadingRule:0 -->Miracle essentially tempered chords</h1>
	<a class="wiki_link" href="/Gamelismic%20clan#Miracle">11-limit miracle temperament</a> tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from <a class="wiki_link" href="/Breed%20family#Jove, ~~aka Wonder~~">jove</a> and <a class="wiki_link" href="/undecimal%20marvel%20chords">undecimal marvel chords</a>. Then there are the three listed above, and ten essentially miracle chords.<br />		<a class="wiki_link" href="/Gamelismic%20clan#Miracle">11-limit miracle temperament</a> tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from <a class="wiki_link" href="/Breed%20family#Jove,%20aka%20Wonder">jove</a> and <a class="wiki_link" href="/undecimal%20marvel%20chords">undecimal marvel chords</a>. Then there are the three listed above, and ten essentially miracle chords.<br />
	<br />		<br />
	Three chords may not seem to be many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 76, pentads: 38, and hexads: 12. There are therefore actually more essentially tempered chords than just ones.<br />		Three chords may not seem to be many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 76, pentads: 38, and hexads: 12. There are therefore actually more essentially tempered chords than just ones.<br />
	<br />		<br />
	EDOs supporting prodigy/miracle include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde, 463bcde.</body></html></pre></div>		EDOs supporting prodigy/miracle include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde, 463bcde.<br />
			<br />
			See also: <a class="wiki_link" href="/chords%20of%20miracle">chords of miracle</a></body></html></pre></div>

Wikispaces>genewardsmith: Imported revision 396149552 - Original comment:

2013-01-06T13:10:43Z

**Imported revision 396149552 - Original comment: **

← Older revision		Revision as of 13:10, 6 January 2013
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	<h2>IMPORTED REVISION FROM WIKISPACES</h2>		<h2>IMPORTED REVISION FROM WIKISPACES</h2>
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	: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>~~2011~~-12-~~19 22~~:46:13 UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2013-01-06 13:10:43 UTC</tt>.<br>
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	=Miracle essentially tempered chords=		=Miracle essentially tempered chords=
	[[Gamelismic clan#Miracle\|11-limit miracle temperament]] tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family#Jove, aka Wonder\|jove]] and [[undecimal marvel chords]]. Then there are the three listed above, ad ten essentially miracle chords.		[[Gamelismic clan#Miracle\|11-limit miracle temperament]] tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from [[Breed family#Jove, aka Wonder\|jove]] and [[undecimal marvel chords]]. Then there are the three listed above, and ten essentially miracle chords.

	Three chords may not seem to be many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 76, pentads: 38, and hexads: 12. There are therefore actually more essentially tempered chords than just ones.		Three chords may not seem to be many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 76, pentads: 38, and hexads: 12. There are therefore actually more essentially tempered chords than just ones.
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	<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Miracle essentially tempered chords"></a><!-- ws:end:WikiTextHeadingRule:0 -->Miracle essentially tempered chords</h1>		<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="Miracle essentially tempered chords"></a><!-- ws:end:WikiTextHeadingRule:0 -->Miracle essentially tempered chords</h1>
	<a class="wiki_link" href="/Gamelismic%20clan#Miracle">11-limit miracle temperament</a> tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">jove</a> and <a class="wiki_link" href="/undecimal%20marvel%20chords">undecimal marvel chords</a>. Then there are the three listed above, ad ten essentially miracle chords.<br />		<a class="wiki_link" href="/Gamelismic%20clan#Miracle">11-limit miracle temperament</a> tempers out an astonishing five commas which allow essential tempering: 540/539, 441/440, 385/384, 243/242 and 225/224, and hence has all of the essentially tempered chords of each of them. Further chords come from <a class="wiki_link" href="/Breed%20family#Jove, aka Wonder">jove</a> and <a class="wiki_link" href="/undecimal%20marvel%20chords">undecimal marvel chords</a>. Then there are the three listed above, and ten essentially miracle chords.<br />
	<br />		<br />
	Three chords may not seem to be many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 76, pentads: 38, and hexads: 12. There are therefore actually more essentially tempered chords than just ones.<br />		Three chords may not seem to be many, but consider this: the POTE tuning for prodigy shrinks 540/539 and 243/242 to a third of a cent, and 385/384 to -1/3 cent. Other optimizations are similar. Hence, the miracle essentially tempered chords are already available in prodigy, we just aren't counting them; in effect, we can more or less equate prodigy with miracle. In miracle, we may put the eight different kinds of essentially tempered chords together, for a total of triads: 21, tetrads: 76, pentads: 38, and hexads: 12. There are therefore actually more essentially tempered chords than just ones.<br />
	<br />		<br />
	EDOs supporting prodigy/miracle include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde, 463bcde.</body></html></pre></div>		EDOs supporting prodigy/miracle include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde, 463bcde.</body></html></pre></div>