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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | 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: |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | * 1–10/7–8/5–7/4 with steps 10/7, 9/8, 12/11, 8/7, and its inverse |
| : This revision was by author [[User:genewardsmith|genewardsmith]] and made on <tt>2011-12-19 21:16:05 UTC</tt>.<br>
| | * 1–9/8–8/5–11/6 with steps 9/8, 10/7, 8/7, 12/11; |
| : The original revision id was <tt>287543704</tt>.<br>
| | |
| : The revision comment was: <tt></tt><br>
| | The three pairs of pentads: |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | * 1–5/4–10/7–8/5–7/4 with steps 5/4, 8/7, 9/8, 12/11, 8/7, and its inverse |
| <h4>Original Wikitext content:</h4>
| | * 1–5/4–10/7–14/9–7/4 with steps 5/4, 8/7, 12/11, 9/8, 8/7; |
| <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>
| | * 1–11/9–11/8–3/2–12/7 with steps 11/9, 9/8, 12/11, 8/7, 7/6, and its inverse |
| <h4>Original HTML content:</h4>
| | * 1–12/11–11/9–3/2–7/4 with steps 12/11, 9/8, 11/9, 7/6, 8/7; |
| <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>
| | * 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: |
| | * 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. |
| | |
| | [[Equal temperament]]s allowing miracle chords include {{EDOs| 31, 41, 72, 103, 175, 216c, 247c, 319bcde, 391bcde and 463bcde }}. |
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| | [[Category:11-odd-limit chords]] |
| | [[Category:Essentially tempered chords]] |
| | [[Category:Tetrads]] |
| | [[Category:Pentads]] |
| | [[Category:Hexads]] |
| | [[Category:Miracle]] |