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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox MOS}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| | {{MOS intro}} |
| : This revision was by author [[User:keenanpepper|keenanpepper]] and made on <tt>2011-12-05 17:47:52 UTC</tt>.<br>
| | This scale can be seen as the equal-tempered whole-tone scale ([[6edo]]), but with one "whole tone" that is smaller than the others. |
| : The original revision id was <tt>282591294</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">5L 1s refers to [[MOSScales]] with 5 large steps and 1 small step. When L=s we have [[6edo]], the equal-tempered "whole tone scale" of impressionistic fame. At the other end of the spectrum, we approach [[5edo]], with five equal whole tones of 240 cents. In between, we find relatively even hexatonic scales with one irregularity: a "whole tone" which is smaller than all the others — perhaps not a "whole tone" at all.
| |
|
| |
|
| The only notable low-harmonic-entropy scale with this MOS pattern is [[Gamelismic clan|slendric]], in which the large step is 8/7 and three of them make a 3/2.
| | == Name == |
| | [[TAMNAMS]] suggests the temperament-agnostic name '''machinoid''', from the [[temperament]] [[machine]]. |
|
| |
|
| Scales with this pattern are always [[Rothenberg propriety|proper]], because there is only one small step.
| | == Scale properties == |
| ||||||||||||||~ generator ||~ scale ||~ large step (L) ||~ small step (s) ||~ comments ||
| | {{TAMNAMS use}} |
| ||= 1\[[5edo|5]] ||= ||= ||= ||= || || ||= 1 1 1 1 1 0 ||= 240.0 ||= 0.0 ||= ||
| |
| || || || || || || || 7\36 || 7 7 7 7 7 1 ||= 233.3 ||= 33.3 ||= Slendric is around here ||
| |
| || || || || || || 6\31 || || 6 6 6 6 6 1 ||= 232.3 ||= 38.7 ||= ||
| |
| ||= ||= ||= ||= ||= 5\[[26edo|26]] || || ||= 5 5 5 5 5 1 ||= 230.8 ||= 46.2 ||= ||
| |
| ||= ||= ||= ||= 4\[[21edo|21]] ||= || || ||= 4 4 4 4 4 1 ||= 228.6 ||= 57.1 ||= ||
| |
| ||= ||= ||= ||= ||= 7\[[37edo|37]] || || ||= 7 7 7 7 7 2 ||= 227.0 ||= 64.9 ||= ||
| |
| ||= ||= ||= 3\[[16edo|16]] ||= ||= || || ||= 3 3 3 3 3 1 ||= 225.0 ||= 75.0 ||= Gorgo is around here ||
| |
| ||= ||= ||= ||= ||= 8\[[43edo|43]] || || ||= 8 8 8 8 8 3 ||= 223.3 ||= 83.7 ||= ||
| |
| ||= ||= ||= ||= 5\[[27edo|27]] ||= || || ||= 5 5 5 5 5 2 ||= 222.2 ||= 88.9 ||= ||
| |
| ||= ||= ||= ||= ||= 7\[[38edo|38]] || || ||= 7 7 7 7 7 3 ||= 221.1 ||= 94.7 ||= ||
| |
| ||= ||= 2\[[11edo|11]] ||= ||= ||= || || ||= 2 2 2 2 2 1 ||= 218.2 ||= 109.1 ||= Optimum rank range (L/s=2/1) machine ||
| |
| ||= ||= ||= ||= ||= 7\[[39edo|39]] || || ||= 7 7 7 7 7 4 ||= 215.4 ||= 123.1 ||= ||
| |
| ||= ||= ||= ||= 5\[[28edo|28]] ||= || || ||= 5 5 5 5 5 3 ||= 214.3 ||= 128.6 ||= ||
| |
| || || || || || || 13\73 || || 13 13... 8 ||= 213.70 ||= 131.5 ||= ||
| |
| || || || || || || || || phi phi... 1 ||= 1200/(4+phi) ||= 1200/(1+5phi) ||= Golden machine ||
| |
| ||= ||= ||= ||= ||= 8\[[45edo|45]] || || ||= 8 8 8 8 8 5 ||= 213.3 ||= 133.3 ||= ||
| |
| ||= ||= ||= 3\[[17edo|17]] ||= ||= || || ||= 3 3 3 3 3 2 ||= 211.8 ||= 141.2 ||= ||
| |
| ||= ||= ||= ||= ||= 7\[[40edo|40]] || || ||= 7 7 7 7 7 5 ||= 210.0 ||= 150.0 ||= ||
| |
| ||= ||= ||= ||= 4\[[23edo|23]] ||= || || ||= 4 4 4 4 4 3 ||= 208.7 ||= 156.5 ||= ||
| |
| ||= ||= ||= ||= ||= 5\[[29edo|29]] || || ||= 5 5 5 5 5 4 ||= 206.9 ||= 165.5 ||= ||
| |
| ||= 1\[[6edo|6]] ||= ||= ||= ||= || || ||= 1 1 1 1 1 1 ||= 200.0 ||= 200.0 ||= ||</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>5L 1s</title></head><body>5L 1s refers to <a class="wiki_link" href="/MOSScales">MOSScales</a> with 5 large steps and 1 small step. When L=s we have <a class="wiki_link" href="/6edo">6edo</a>, the equal-tempered &quot;whole tone scale&quot; of impressionistic fame. At the other end of the spectrum, we approach <a class="wiki_link" href="/5edo">5edo</a>, with five equal whole tones of 240 cents. In between, we find relatively even hexatonic scales with one irregularity: a &quot;whole tone&quot; which is smaller than all the others — perhaps not a &quot;whole tone&quot; at all.<br />
| |
| <br />
| |
| The only notable low-harmonic-entropy scale with this MOS pattern is <a class="wiki_link" href="/Gamelismic%20clan">slendric</a>, in which the large step is 8/7 and three of them make a 3/2.<br />
| |
| <br />
| |
| Scales with this pattern are always <a class="wiki_link" href="/Rothenberg%20propriety">proper</a>, because there is only one small step.<br />
| |
|
| |
|
| | === Intervals === |
| | {{MOS intervals}} |
|
| |
|
| <table class="wiki_table">
| | === Generator chain === |
| <tr>
| | {{MOS genchain}} |
| <th colspan="7">generator<br />
| |
| </th>
| |
| <th>scale<br />
| |
| </th>
| |
| <th>large step (L)<br />
| |
| </th>
| |
| <th>small step (s)<br />
| |
| </th>
| |
| <th>comments<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">1\<a class="wiki_link" href="/5edo">5</a><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
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| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td style="text-align: center;">1 1 1 1 1 0<br />
| |
| </td>
| |
| <td style="text-align: center;">240.0<br />
| |
| </td>
| |
| <td style="text-align: center;">0.0<br />
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| </td>
| |
| <td style="text-align: center;"><br />
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| </td>
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| </tr>
| |
| <tr>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>7\36<br />
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| </td>
| |
| <td>7 7 7 7 7 1<br />
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| </td>
| |
| <td style="text-align: center;">233.3<br />
| |
| </td>
| |
| <td style="text-align: center;">33.3<br />
| |
| </td>
| |
| <td style="text-align: center;">Slendric is around here<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>6\31<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>6 6 6 6 6 1<br />
| |
| </td>
| |
| <td style="text-align: center;">232.3<br />
| |
| </td>
| |
| <td style="text-align: center;">38.7<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
| |
| <td style="text-align: center;">5\<a class="wiki_link" href="/26edo">26</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td style="text-align: center;">5 5 5 5 5 1<br />
| |
| </td>
| |
| <td style="text-align: center;">230.8<br />
| |
| </td>
| |
| <td style="text-align: center;">46.2<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
| |
| <td style="text-align: center;">4\<a class="wiki_link" href="/21edo">21</a><br />
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| </td>
| |
| <td style="text-align: center;"><br />
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| </td>
| |
| <td><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td style="text-align: center;">4 4 4 4 4 1<br />
| |
| </td>
| |
| <td style="text-align: center;">228.6<br />
| |
| </td>
| |
| <td style="text-align: center;">57.1<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
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| </td>
| |
| <td style="text-align: center;"><br />
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| </td>
| |
| <td style="text-align: center;">7\<a class="wiki_link" href="/37edo">37</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td style="text-align: center;">7 7 7 7 7 2<br />
| |
| </td>
| |
| <td style="text-align: center;">227.0<br />
| |
| </td>
| |
| <td style="text-align: center;">64.9<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
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| <td style="text-align: center;"><br />
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| </td>
| |
| <td style="text-align: center;">3\<a class="wiki_link" href="/16edo">16</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">3 3 3 3 3 1<br />
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| </td>
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| <td style="text-align: center;">225.0<br />
| |
| </td>
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| <td style="text-align: center;">75.0<br />
| |
| </td>
| |
| <td style="text-align: center;">Gorgo is around here<br />
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| </td>
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| </tr>
| |
| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">8\<a class="wiki_link" href="/43edo">43</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">8 8 8 8 8 3<br />
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| </td>
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| <td style="text-align: center;">223.3<br />
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| </td>
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| <td style="text-align: center;">83.7<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">5\<a class="wiki_link" href="/27edo">27</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">5 5 5 5 5 2<br />
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| </td>
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| <td style="text-align: center;">222.2<br />
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| </td>
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| <td style="text-align: center;">88.9<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">7\<a class="wiki_link" href="/38edo">38</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">7 7 7 7 7 3<br />
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| </td>
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| <td style="text-align: center;">221.1<br />
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| </td>
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| <td style="text-align: center;">94.7<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">2\<a class="wiki_link" href="/11edo">11</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">2 2 2 2 2 1<br />
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| </td>
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| <td style="text-align: center;">218.2<br />
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| </td>
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| <td style="text-align: center;">109.1<br />
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| </td>
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| <td style="text-align: center;">Optimum rank range (L/s=2/1) machine<br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">7\<a class="wiki_link" href="/39edo">39</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">7 7 7 7 7 4<br />
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| </td>
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| <td style="text-align: center;">215.4<br />
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| </td>
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| <td style="text-align: center;">123.1<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">5\<a class="wiki_link" href="/28edo">28</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">5 5 5 5 5 3<br />
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| </td>
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| <td style="text-align: center;">214.3<br />
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| </td>
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| <td style="text-align: center;">128.6<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>13\73<br />
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| </td>
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| <td><br />
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| </td>
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| <td>13 13... 8<br />
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| </td>
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| <td style="text-align: center;">213.70<br />
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| </td>
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| <td style="text-align: center;">131.5<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>phi phi... 1<br />
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| </td>
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| <td style="text-align: center;">1200/(4+phi)<br />
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| </td>
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| <td style="text-align: center;">1200/(1+5phi)<br />
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| </td>
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| <td style="text-align: center;">Golden machine<br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">8\<a class="wiki_link" href="/45edo">45</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">8 8 8 8 8 5<br />
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| </td>
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| <td style="text-align: center;">213.3<br />
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| </td>
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| <td style="text-align: center;">133.3<br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">3\<a class="wiki_link" href="/17edo">17</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td style="text-align: center;">3 3 3 3 3 2<br />
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| </td>
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| <td style="text-align: center;">211.8<br />
| |
| </td>
| |
| <td style="text-align: center;">141.2<br />
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| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;">7\<a class="wiki_link" href="/40edo">40</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">7 7 7 7 7 5<br />
| |
| </td>
| |
| <td style="text-align: center;">210.0<br />
| |
| </td>
| |
| <td style="text-align: center;">150.0<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;">4\<a class="wiki_link" href="/23edo">23</a><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">4 4 4 4 4 3<br />
| |
| </td>
| |
| <td style="text-align: center;">208.7<br />
| |
| </td>
| |
| <td style="text-align: center;">156.5<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;"><br />
| |
| </td>
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| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
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| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;">5\<a class="wiki_link" href="/29edo">29</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">5 5 5 5 5 4<br />
| |
| </td>
| |
| <td style="text-align: center;">206.9<br />
| |
| </td>
| |
| <td style="text-align: center;">165.5<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td style="text-align: center;">1\<a class="wiki_link" href="/6edo">6</a><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
| |
| </td>
| |
| <td style="text-align: center;">1 1 1 1 1 1<br />
| |
| </td>
| |
| <td style="text-align: center;">200.0<br />
| |
| </td>
| |
| <td style="text-align: center;">200.0<br />
| |
| </td>
| |
| <td style="text-align: center;"><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div> | | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | === Proposed names === |
| | Names for the modes have been proposed by [https://twitter.com/Lilly__Flores/status/1702242780700098576 Lilly Flores]. |
| | |
| | He noted the frequent use of this scale in 31EDO, and further pointed out that the monstrosity Mothra derives from a moth. It was also named using Hebrew, the language that would be geographically closest to Egyptian language, where the machine was first invented. Hence, these names are Hebrew for the time beginning with 'night' when moths fly around. |
| | {{MOS modes |
| | | Mode Names= |
| | Erev $ |
| | Oplen $Layla $ |
| | Shemesh $ |
| | Boqer $ |
| | Tsohorayim $ |
| | }} |
| | |
| | == Theory == |
| | === Low harmonic entropy scales === |
| | The only notable low-harmonic-entropy scale with this MOS pattern is [[Gamelismic clan #Slendric|slendric]], in which the large step is 8/7 and three of them make a 3/2. |
| | |
| | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 6/5 = [[Quadrimage]] ↑ |
| | | 13/8 = Golden [[machine]] (213.5979{{¢}}) |
| | | 13/5 = Golden [[kumonga]] (222.9668{{¢}}) |
| | | 3/1 = [[Clyndro]] |
| | | 7/2 = [[Laconic]] |
| | | 4/1 = [[Gorgo]] |
| | | 5/1 = [[Gidorah]] |
| | | 6/1 = [[Slendric]] ↓ |
| | }} |
| | |
| | [[Category:6-tone scales]] |
| | [[Category:machinoid]] |