Trachytonic: Difference between revisions
Wikispaces>MasonGreen1 **Imported revision 579129713 - Original comment: ** |
Wikispaces>MasonGreen1 **Imported revision 579363359 - Original comment: ** |
||
| Line 1: | Line 1: | ||
<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:MasonGreen1|MasonGreen1]] and made on <tt>2016-04- | : This revision was by author [[User:MasonGreen1|MasonGreen1]] and made on <tt>2016-04-07 00:03:41 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>579363359</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">**Screamapillar** is a 7-note MODMOS in [[17edo]] (or its close cousins like [[27edt]] or [[44ed6]]). 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 [[Rothenberg propriety|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so. | <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">**Screamapillar** is a 7-note MODMOS in [[17edo]] (or its close cousins like [[27edt]] or [[44ed6]]), 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 [[Rothenberg propriety|strictly proper]], whereas the 17edo diatonic scale is not proper at all, and the 12edo diatonic scale is proper but not strictly so. | ||
Screamapillar can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar (specifically, the Springfieldian mode). Screamapillar is also one modification away from the [[Mohajira|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [[http://www.maqamworld.com/maqamat/bayati.html|bayati]] maqam. | Screamapillar can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar (specifically, the Springfieldian mode). Screamapillar is also one modification away from the [[Mohajira|rast]] scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the [[http://www.maqamworld.com/maqamat/bayati.html|bayati]] maqam. | ||
| Line 38: | Line 38: | ||
**Ogdenvillean****:** Modified Aeolian: 3 1 3 3 2 2 3 | **Ogdenvillean****:** Modified Aeolian: 3 1 3 3 2 2 3 | ||
**Spittlean**: Mo**<span style="line-height: 1.5;">e</span>**<span style="line-height: 1.5;">dified Locrian: 1 3 3 2 2 3 3</span></pre></div> | **Spittlean**: Mo**<span style="line-height: 1.5;">e</span>**<span style="line-height: 1.5;">dified Locrian: 1 3 3 2 2 3 3</span> | ||
---- | |||
=<span style="line-height: 1.5;">As a temperament</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> | |||
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 570 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>). 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 /> | ||
<br /> | <br /> | ||
Screamapillar can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar (specifically, the Springfieldian mode). Screamapillar is also one modification away from the <a class="wiki_link" href="/Mohajira">rast</a> scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the <a class="wiki_link_ext" href="http://www.maqamworld.com/maqamat/bayati.html" rel="nofollow">bayati</a> maqam.<br /> | Screamapillar can be obtained by a single chromatic modification of the diatonic scale; if we take 17edo's diatonic major (Ionian) mode, and raise the fourth by one step, we get screamapillar (specifically, the Springfieldian mode). Screamapillar is also one modification away from the <a class="wiki_link" href="/Mohajira">rast</a> scale, so it has resemblance to both Western and Middle-Eastern scales. In fact, melodically, it corresponds to the <a class="wiki_link_ext" href="http://www.maqamworld.com/maqamat/bayati.html" rel="nofollow">bayati</a> maqam.<br /> | ||
| Line 48: | Line 59: | ||
The sharpened fourth could also be called a &quot;red note&quot; (opposite of a blue note) due to the mood it creates. Also, the <em><a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/The_Simpsons_Theme" rel="nofollow">Simpsons theme</a></em> uses a scale which, although not exactly screamapillar, does contain a sharpened fourth.<br /> | The sharpened fourth could also be called a &quot;red note&quot; (opposite of a blue note) due to the mood it creates. Also, the <em><a class="wiki_link_ext" href="https://en.wikipedia.org/wiki/The_Simpsons_Theme" rel="nofollow">Simpsons theme</a></em> uses a scale which, although not exactly screamapillar, does contain a sharpened fourth.<br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:3:&lt;img src=&quot;http://38.media.tumblr.com/7826da01fcce799fc36142847120597e/tumblr_mhg2qvcEiY1qe9qrbo4_250.gif&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="http://38.media.tumblr.com/7826da01fcce799fc36142847120597e/tumblr_mhg2qvcEiY1qe9qrbo4_250.gif" alt="external image tumblr_mhg2qvcEiY1qe9qrbo4_250.gif" title="external image tumblr_mhg2qvcEiY1qe9qrbo4_250.gif" /><!-- ws:end:WikiTextRemoteImageRule:3 --><br /> | ||
<br /> | <br /> | ||
Because screamapillar is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.<br /> | Because screamapillar is so similar to the diatonic scale, it's not as xen as one might expect a no-fives 13-limit system to be, and as a result it makes a good starting point for someone who wants to explore these higher harmonies without sounding too foreign.<br /> | ||
| Line 72: | Line 83: | ||
<strong>Ogdenvillean</strong><strong>:</strong> Modified Aeolian: 3 1 3 3 2 2 3<br /> | <strong>Ogdenvillean</strong><strong>:</strong> Modified Aeolian: 3 1 3 3 2 2 3<br /> | ||
<br /> | <br /> | ||
<strong>Spittlean</strong>: Mo<strong><span style="line-height: 1.5;">e</span></strong><span style="line-height: 1.5;">dified Locrian: 1 3 3 2 2 3 3</span></body></html></pre></div> | <strong>Spittlean</strong>: Mo<strong><span style="line-height: 1.5;">e</span></strong><span style="line-height: 1.5;">dified Locrian: 1 3 3 2 2 3 3</span><br /> | ||
<br /> | |||
<br /> | |||
<hr /> | |||
<br /> | |||
<!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="As a temperament"></a><!-- ws:end:WikiTextHeadingRule:0 --><span style="line-height: 1.5;">As a temperament</span></h1> | |||
<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 /> | |||
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 /> | |||
<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 570 cents).</body></html></pre></div> | |||