Miracle chords - Revision history

FloraC: Improve readability; recategorize

2024-10-17T12:55:55Z

Improve readability; recategorize

← Older revision		Revision as of 12:55, 17 October 2024
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	A '''miracle chord''' is an [[essentially tempered chord]] of the [[miracle]] temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads:		A '''miracle chord''' is an [[essentially tempered chord]] of the [[miracle]] temperament; they are included among those listed as [[chords of miracle]]. Aside from the [[swetismic chords\|swetismic]], [[werckismic chords\|werckismic]], [[keenanismic chords\|keenanismic]], [[rastmic chords\|rastmic]], [[marvel chords\|marvel]], [[undecimal marvel chords\|unimarvel]], [[jove chords\|jove]] and [[prodigy chords\|prodigy]] chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads:
	* ~~1-10~~/~~7-8~~/~~5-7~~/4 with steps 10/7-9/8-12/11-8/7 and ~~1-9~~/~~8-8~~/~~5-11~~/6 with steps 9/8-10/7-8/7-12/11;		* 1–10/7–8/5–7/4 with steps 10/7, 9/8, 12/11, 8/7, and its inverse
			* 1–9/8–8/5–11/6 with steps 9/8, 10/7, 8/7, 12/11;

	~~the~~ three pairs of pentads:		The three pairs of pentads:
	* ~~1-5~~/~~4-10~~/~~7-8~~/~~5-7~~/4 with steps 5/4-8/7-9/8-12/11-8/7 and ~~1-5~~/~~4-10~~/~~7-14~~/~~9-7~~/4 with steps 5/4-8/7-12/11-9/8-8/7;		* 1–5/4–10/7–8/5–7/4 with steps 5/4, 8/7, 9/8, 12/11, 8/7, and its inverse
	~~1-11~~/~~9-11~~/~~8-3~~/~~2-12~~/7 with steps 11/9-9/8-12/11-8/7-7/6 and ~~1-12~~/~~11-11~~/~~9-3~~/~~2-7~~/4 with steps 12/11-9/8-11/9-7/6-8/7;		* 1–5/4–10/7–14/9–7/4 with steps 5/4, 8/7, 12/11, 9/8, 8/7;
	~~1-9~~/~~8-10~~/~~7-8~~/~~5-7~~/4 with steps 9/8-14/11-9/8-12/11-8/7 and ~~1-9~~/~~8-10~~/~~7-8~~/~~5-11~~/6 with steps 9/8-14/11-9/8-8/7-12/11;		* 1–11/9–11/8–3/2–12/7 with steps 11/9, 9/8, 12/11, 8/7, 7/6, and its inverse
			* 1–12/11–11/9–3/2–7/4 with steps 12/11, 9/8, 11/9, 7/6, 8/7;
			* 1–9/8–10/7–8/5–7/4 with steps 9/8, 14/11, 9/8, 12/11, 8/7, and its inverse
			* 1–9/8–10/7–8/5–11/6 with steps 9/8, 14/11, 9/8, 8/7, 12/11;

	~~and~~ the pair of hexads:		And the pair of hexads:
	* ~~1-9~~/~~8-5~~/~~4-10~~/~~7-8~~/~~5-7~~/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and ~~1-10~~/~~9-5~~/~~4-10~~/~~7-14~~/~~9-7~~/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7.		* 1–9/8–5/4–10/7–8/5–7/4 with steps 9/8, 10/9, 8/7, 9/8, 12/11, 8/7, and its inverse
			* 1–10/9–5/4–10/7–14/9–7/4 with steps 10/9, 9/8, 8/7, 12/11, 9/8, 8/7.

	The count of miracle chords is therefore tetrads: 2, pentads: 6, and hexads: 2.		The count of miracle chords is therefore tetrads: 2, pentads: 6, and hexads: 2.

	~~EDOs~~ allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.		[[Equal temperament]]s allowing miracle chords include {{EDOs\| 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde }}.

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

FloraC: Recategorize

2023-05-23T11:55:47Z

Recategorize

← Older revision		Revision as of 11:55, 23 May 2023
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	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:~~Tetrad~~]]		[[Category:Tetrads]]
	[[Category:~~Pentad~~]]		[[Category:Pentads]]
	[[Category:~~Hexad~~]]		[[Category:Hexads]]
	[[Category:Miracle]]		[[Category:Miracle]]

FloraC: Recategorize; +link

2023-04-28T07:02:12Z

Recategorize; +link

← Older revision		Revision as of 07:02, 28 April 2023
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	A '''miracle chord''' is an [[essentially tempered chord]] of miracle temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads:		A '''miracle chord''' is an [[essentially tempered chord]] of the [[miracle]] temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads:
	* 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11;		* 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11;

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	[[Category:11-odd-limit]]		[[Category:11-odd-limit]]
	[[Category:Essentially tempered chords]]		[[Category:Essentially tempered chords]]
	[[Category:~~Dyadic~~]]		[[Category:Tetrad]]
			[[Category:Pentad]]
			[[Category:Hexad]]
	[[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]]
	[[Category:Miracle]]		[[Category:Miracle]]

Xenwolf: recat

2021-05-20T08:34:32Z

recat

← Older revision		Revision as of 08:34, 20 May 2021
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	EDOs allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.		EDOs allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.

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

Xenwolf: +cat

2021-05-20T07:22:36Z

+cat

← Older revision		Revision as of 07:22, 20 May 2021
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	A '''miracle chord''' is an [[~~Dyadic chord #Essentially tempered dyadic chord\|~~essentially tempered chord]] of miracle temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads:		A '''miracle chord''' is an [[essentially tempered chord]] of miracle temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads:
	* 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11;		* 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11;

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

FloraC: Cleanup; +categories

2021-03-07T09:54:49Z

Cleanup; +categories

← Older revision		Revision as of 09:54, 7 March 2021
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	A ''miracle chord'' is an [[~~Dyadic_chord~~#Essentially tempered dyadic chord\|essentially tempered chord]] of miracle temperament; they are included among those listed as [[~~Chords_of_miracle\|~~chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; the three pairs of pentads 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7; 1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7; 1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11; and the pair of hexads 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7. The count of miracle chords is therefore tetrads: 2, pentads: 6, and hexads: 2.		A '''miracle chord''' is an [[Dyadic chord #Essentially tempered dyadic chord\|essentially tempered chord]] of miracle temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads:
			* 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11;

			the three pairs of pentads:
			* 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7;
			1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7;
			1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11;

			and the pair of hexads:
			* 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7.

			The count of miracle chords is therefore tetrads: 2, pentads: 6, and hexads: 2.

	EDOs allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.		EDOs allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.

			[[Category:11-limit]]
			[[Category:Chords]]
			[[Category:Dyadic]]
			[[Category:Miracle]]

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>~~		A ''miracle chord'' is an [[Dyadic_chord#Essentially tempered dyadic chord\|essentially tempered chord]] of miracle temperament; they are included among those listed as [[Chords_of_miracle\|chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; the three pairs of pentads 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7; 1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7; 1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11; and the pair of hexads 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7. The count of miracle chords is therefore tetrads: 2, pentads: 6, and hexads: 2.
	~~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>2011-12-19 22:47:16 UTC</tt>.<br>~~
	~~: The original revision id was <tt>287557424</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">A //miracle chord// is an [[~~Dyadic chord~~#Essentially tempered dyadic chord\|essentially tempered chord]] of miracle temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; the three pairs of pentads 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7; 1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7; 1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11; and the pair of hexads 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7. The count of miracle chords is therefore tetrads: 2, pentads: 6, and hexads: 2.

	EDOs allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.~~</pre></div>~~		EDOs allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.
	~~<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>miracle chords</title></head><body>A <em>miracle chord</em> is an <a class="wiki_link" href="/Dyadic%20chord#Essentially tempered dyadic chord">essentially tempered chord</a> of miracle temperament; they are included among those listed as <a class="wiki_link" href="/chords%20of%20miracle">chords of miracle</a>. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; the three pairs of pentads 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7; 1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7; 1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11; and the pair of hexads 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7. The count of miracle chords is therefore tetrads: 2, pentads: 6, and hexads: 2.<br />
	~~<br />~~
	~~EDOs allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.</body></html></pre></div>~~

Wikispaces>genewardsmith: Imported revision 287557424 - Original comment:

2011-12-19T22:47:16Z

**Imported revision 287557424 - Original comment: **

Wikispaces>genewardsmith: Imported revision 287543704 - Original comment:

2011-12-19T21:16:05Z

**Imported revision 287543704 - 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:genewardsmith|genewardsmith]] and made on <tt>2011-12-19 21:16:05 UTC</tt>.<br>
: The original revision id was <tt>287543704</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">A //miracle chord// is an [[Dyadic chord#Essentially tempered dyadic chord]] of miracle temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; the three pairs of pentads 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7; 1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7; 1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11; and the pair of hexads 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7. </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>miracle chords</title></head><body>A <em>miracle chord</em> is an <a class="wiki_link" href="/Dyadic%20chord#Essentially tempered dyadic chord">Dyadic chord</a> of miracle temperament; they are included among those listed as <a class="wiki_link" href="/chords%20of%20miracle">chords of miracle</a>. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; the three pairs of pentads 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7; 1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7; 1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11; and the pair of hexads 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7.</body></html></pre></div>

← Older revision		Revision as of 22:47, 19 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>2011-12-19 21:16~~:05~~ UTC</tt>.<br>		: This revision was by author [[User:genewardsmith\|genewardsmith]] and made on <tt>2011-12-19 22:47:16 UTC</tt>.<br>
	: The original revision id was <tt>~~287543704~~</tt>.<br>		: The original revision id was <tt>287557424</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">A //miracle chord// is an [[Dyadic chord#Essentially tempered dyadic chord]] of miracle temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; the three pairs of pentads 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7; 1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7; 1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11; and the pair of hexads 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7. </pre></div>		<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 //miracle chord// is an [[Dyadic chord#Essentially tempered dyadic chord\|essentially tempered chord]] of miracle temperament; they are included among those listed as [[chords of miracle]]. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; the three pairs of pentads 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7; 1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7; 1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11; and the pair of hexads 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7. The count of miracle chords is therefore tetrads: 2, pentads: 6, and hexads: 2.

			EDOs allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.</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>miracle chords</title></head><body>A <em>miracle chord</em> is an <a class="wiki_link" href="/Dyadic%20chord#Essentially tempered dyadic chord">~~Dyadic~~ chord</a> of miracle temperament; they are included among those listed as <a class="wiki_link" href="/chords%20of%20miracle">chords of miracle</a>. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; the three pairs of pentads 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7; 1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7; 1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11; and the pair of hexads 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7.</body></html></pre></div>		<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>miracle chords</title></head><body>A <em>miracle chord</em> is an <a class="wiki_link" href="/Dyadic%20chord#Essentially tempered dyadic chord">essentially tempered chord</a> of miracle temperament; they are included among those listed as <a class="wiki_link" href="/chords%20of%20miracle">chords of miracle</a>. Aside from the swetismic, werckismic, keenanismic, rastmic, marvel, unimarvel, jove and prodigy chords listed there, there are ten further essentially miracle chords. These are the inversely related pair of tetrads 1-10/7-8/5-7/4 with steps 10/7-9/8-12/11-8/7 and 1-9/8-8/5-11/6 with steps 9/8-10/7-8/7-12/11; the three pairs of pentads 1-5/4-10/7-8/5-7/4 with steps 5/4-8/7-9/8-12/11-8/7 and 1-5/4-10/7-14/9-7/4 with steps 5/4-8/7-12/11-9/8-8/7; 1-11/9-11/8-3/2-12/7 with steps 11/9-9/8-12/11-8/7-7/6 and 1-12/11-11/9-3/2-7/4 with steps 12/11-9/8-11/9-7/6-8/7; 1-9/8-10/7-8/5-7/4 with steps 9/8-14/11-9/8-12/11-8/7 and 1-9/8-10/7-8/5-11/6 with steps 9/8-14/11-9/8-8/7-12/11; and the pair of hexads 1-9/8-5/4-10/7-8/5-7/4 with steps 9/8-10/9-8/7-9/8-12/11-8/7 and 1-10/9-5/4-10/7-14/9-7/4 with steps 10/9-9/8-8/7-12/11-9/8-8/7. The count of miracle chords is therefore tetrads: 2, pentads: 6, and hexads: 2.<br />
			<br />
			EDOs allowing miracle chords include 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde.</body></html></pre></div>