Trachytonic: Difference between revisions
Wikispaces>MasonGreen1 **Imported revision 579363359 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 597011862 - Original comment: ** |
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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: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-25 15:28:59 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>597011862</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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<span style="line-height: 1.5;">What is the temperament that provides the harmonic equivalencies featured in the screamapillar scale? Quite a few commas are tempered out including 64:63, 78:77, 99:98, 144:143, 243:242, etc.</span> | <span style="line-height: 1.5;">What is the temperament that provides the harmonic equivalencies featured in the screamapillar scale? Quite a few commas are tempered out including 64:63, 78:77, 99:98, 144:143, 243:242, etc.</span> | ||
While 17edo itself is an excellent choice for such a temperament, there are other options, notably [[61edo]], whose version of the screamapillar scale has step pattern 11 11 7 7 11 11 3. [[78edo]] works as well (with step pattern 14 14 9 9 14 14 4); both of these improve the 7th and 13th harmonics at the expense of<span style="line-height: 1.5;"> the 3rd and 11th.</span> | While 17edo itself is an excellent choice for such a temperament, there are other options, notably [[61edo]], whose version of the screamapillar scale has step pattern [[tel:11 11 7 7 11 11 3|11 11 7 7 11 11 3]]. [[78edo]] works as well (with step pattern [[tel:14 14 9 9 14 14 4|14 14 9 9 14 14 4]]); both of these improve the 7th and 13th harmonics at the expense of<span style="line-height: 1.5;"> the 3rd and 11th.</span> | ||
Other options include [[44edo]] and [[27edo]], although the latter is a borderline case because it doesn't have a very good 11 (it maps 11:8 to | Other options include [[44edo]] and [[27edo]], although the latter is a borderline case because it doesn't have a very good 11 (it maps 11:8 to 577.78 cents).</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>Screamapillar</title></head><body><strong>Screamapillar</strong> is a 7-note MODMOS in <a class="wiki_link" href="/17edo">17edo</a> (or its close cousins like <a class="wiki_link" href="/27edt">27edt</a> or <a class="wiki_link" href="/44ed6">44ed6</a>), or the temperament which characterizes this scale. Screamapillar has three different step sizes and is described as a LLmmLLs scale (i. e., 3322331). As such, it is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, screamapillar is notable for being <a class="wiki_link" href="/Rothenberg%20propriety">strictly proper</a>, whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.<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>Screamapillar</title></head><body><strong>Screamapillar</strong> is a 7-note MODMOS in <a class="wiki_link" href="/17edo">17edo</a> (or its close cousins like <a class="wiki_link" href="/27edt">27edt</a> or <a class="wiki_link" href="/44ed6">44ed6</a>), or the temperament which characterizes this scale. Screamapillar has three different step sizes and is described as a LLmmLLs scale (i. e., 3322331). As such, it is not a maximally even scale (since seconds, thirds, sixths, and sevenths all come in three rather than two sizes). However, screamapillar is notable for being <a class="wiki_link" href="/Rothenberg%20propriety">strictly proper</a>, whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so.<br /> | ||
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<span style="line-height: 1.5;">What is the temperament that provides the harmonic equivalencies featured in the screamapillar scale? Quite a few commas are tempered out including 64:63, 78:77, 99:98, 144:143, 243:242, etc.</span><br /> | <span style="line-height: 1.5;">What is the temperament that provides the harmonic equivalencies featured in the screamapillar scale? Quite a few commas are tempered out including 64:63, 78:77, 99:98, 144:143, 243:242, etc.</span><br /> | ||
<br /> | <br /> | ||
While 17edo itself is an excellent choice for such a temperament, there are other options, notably <a class="wiki_link" href="/61edo">61edo</a>, whose version of the screamapillar scale has step pattern 11 11 7 7 11 11 3. <a class="wiki_link" href="/78edo">78edo</a> works as well (with step pattern 14 14 9 9 14 14 4); both of these improve the 7th and 13th harmonics at the expense of<span style="line-height: 1.5;"> the 3rd and 11th.</span><br /> | While 17edo itself is an excellent choice for such a temperament, there are other options, notably <a class="wiki_link" href="/61edo">61edo</a>, whose version of the screamapillar scale has step pattern <a class="wiki_link" href="http://tel.wikispaces.com/11%2011%207%207%2011%2011%203">11 11 7 7 11 11 3</a>. <a class="wiki_link" href="/78edo">78edo</a> works as well (with step pattern <a class="wiki_link" href="http://tel.wikispaces.com/14%2014%209%209%2014%2014%204">14 14 9 9 14 14 4</a>); both of these improve the 7th and 13th harmonics at the expense of<span style="line-height: 1.5;"> the 3rd and 11th.</span><br /> | ||
<br /> | <br /> | ||
Other options include <a class="wiki_link" href="/44edo">44edo</a> and <a class="wiki_link" href="/27edo">27edo</a>, although the latter is a borderline case because it doesn't have a very good 11 (it maps 11:8 to | Other options include <a class="wiki_link" href="/44edo">44edo</a> and <a class="wiki_link" href="/27edo">27edo</a>, although the latter is a borderline case because it doesn't have a very good 11 (it maps 11:8 to 577.78 cents).</body></html></pre></div> | ||