|
|
(10 intermediate revisions by 8 users not shown) |
Line 1: |
Line 1: |
| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | A '''tutonic hexad''' is an [[essentially tempered chord]] of the [[tutone]] temperament, which is every other member of the [[generator]] chain of [[11-limit]] [[meantone]] (also called as [[Huygens]], tempered by [[81/80]], [[99/98]] and [[126/125]]). |
| 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>2011-09-16 20:03:29 UTC</tt>.<br>
| | There are eight hexads as [[11-odd-limit]] essentially tempered chords of the 11-limit meantone, all of them are available in the tutone temperament; in other words, all of the essentially tempered hexads of the 11-limit meantone are tutonic hexads. |
| : The original revision id was <tt>254927716</tt>.<br>
| | |
| : The revision comment was: <tt></tt><br>
| | The palindromic hexads are |
| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
| | * 1–9/8–5/4–7/5–14/9–7/4 with steps of 9/8, 9/8, 9/8, 9/8, 9/8, 8/7 ([[Didymic chords|erato hexad]], tempered by 81/80 and 126/125); |
| <h4>Original Wikitext content:</h4>
| | * 1–9/8–9/7–10/7–11/7–7/4 with steps of 9/8, 8/7, 9/8, 11/10, 9/8, 8/7 (euterpe hexad, tempered by 81/80 and 99/98); |
| <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">The //tutonic sextad// is an essentially tempered chord of the [[http://xenharmonic.wikispaces.com/Chromatic+pairs#Tutone|tutone]] temperament, which is every other member of the generator chain of 11-limit meantone (Huygens.) This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {81/80, 99/98, 126/125}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.</pre></div>
| | * 1–9/8–9/7–7/5–8/5–7/4 with steps of 9/8, 8/7, 11/10, 8/7, 11/10, 8/7 (minerva hexad, tempered by 99/98 and 176/175); |
| <h4>Original HTML content:</h4>
| | * 1–9/8–5/4–7/5–8/5–7/4 with steps of 9/8, 9/8, 9/8, 8/7, 11/10, 8/7 (minerva hexad, tempered by 99/98 and 176/175). |
| <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>tutonic sextad</title></head><body>The <em>tutonic sextad</em> is an essentially tempered chord of the <a href="http://xenharmonic.wikispaces.com/Chromatic+pairs#Tutone">tutone</a> temperament, which is every other member of the generator chain of 11-limit meantone (Huygens.) This means it is 9/8-9/8-9/8-9/8-9/8-8/7 tempered by {81/80, 99/98, 126/125}, or in other words the tempering of 9/8-5/4-7/5-11/7-7/4-2.</body></html></pre></div>
| | |
| | The inversely related pairs of hexads are |
| | * 1–9/8–5/4–10/7–11/7–7/4 with steps of 9/8, 9/8, 8/7, 11/10, 9/8, 8/7, and its inverse |
| | * 1–9/8–11/9–7/5–11/7–7/4 with steps of 9/8, 11/10, 8/7, 9/8, 9/8, 8/7; |
| | * 1–9/8–9/7–7/5–11/7–7/4 with steps of 9/8, 8/7, 11/10, 9/8, 9/8, 8/7, and its inverse |
| | * 1–9/8–5/4–11/8–11/7–7/4 with steps of 9/8, 9/8, 11/10, 8/7, 9/8, 8/7. |
| | |
| | [[Category:9-odd-limit chords]] |
| | [[Category:11-odd-limit chords]] |
| | [[Category:Essentially tempered chords]] |
| | [[Category:Hexads]] |
| | [[Category:Tutone]] |