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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>
| |
| : This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2011-05-26 00:07:32 UTC</tt>.<br>
| |
| : The original revision id was <tt>231958406</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">This page is about [[MOSScales]] with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).
| |
|
| |
|
| This MOS pattern is a wasteland as far as low-harmonic-entropy scales are concerned. If your harmonic entropy is coarse enough (that is, if 520 cents is an acceptable 4/3 to you), then [[Pelogic family|mavila]] could show up as a slight, broad minimum. So a general name for this MOS pattern could be "mavila superdiatonic".
| | {{MOS intro}} |
| ||||||||||||||~ Generator ||~ Scale steps ||~ Comments ||
| | Scales of this form are strongly associated with [[Armodue theory]], as applied to septimal mavila and Hornbostel temperaments. [[Trismegistus]] is also a usable temperament. |
| || 3\[[7edo|7]] || || || || || || || 1 1 1 0 1 1 1 1 0 || ||
| | == Name == |
| || || || || || 16\37 || || || 5 5 5 1 5 5 5 5 1 || ||
| | The [[TAMNAMS]] name for this pattern is '''armotonic''', in reference to Armodue theory. '''Superdiatonic''' is also in use. |
| || || || || 13\[[30edo|30]] || || || || 4 4 4 1 4 4 4 4 1 || ||
| |
| || || || || || 23\[[53edo|53]] || || || 7 7 7 2 7 7 7 7 2 || ||
| |
| || || || 10\[[23edo|23]] || || || || || 3 3 3 1 3 3 3 3 1 || HORNBOSTEL TEMPERAMENT (Armodue 1/3-tones) ||
| |
| || || || || || || 37\[[85edo|85]] || || 11 11 11 4 11 11 11 11 4 || Armodue-Hornbostel 1/11-tones ||
| |
| || || || || || 27\[[62edo|62]] || || || 8 8 8 3 8 8 8 8 3 || Armodue-Hornbostel 1/8-tones ||
| |
| || || || || 17\[[39edo|39]] || || || || 5 5 5 2 5 5 5 5 2 || Armodue-Hornbostel 1/5-tones ||
| |
| || || || || || 24\[[55edo|55]] || || || 7 7 7 3 7 7 7 7 3 || Armodue-Hornbostel 1/7-tones ||
| |
| || || || || || || 31\[[71edo|71]] || || 9 9 9 4 9 9 9 9 4 || UNFAIR Armodue-Hornbostel 1/9-tone ||
| |
| || || || || || || || 38\[[87edo|87]] || 11 11 11 5 11 11 11 11 5 || ||
| |
| || || 7\[[16edo|16]] || || || || || || 2 2 2 1 2 2 2 2 1 || ARMODUE ESADECAFONIA (or Goldsmith Temperament) ||
| |
| || || || || || || || 39\[[89edo|89]] || 11 11 11 6 11 11 11 11 6 || Armodue-Mesotonic 1/11-tone ||
| |
| || || || || || || 32\[[73edo|73]] || || 9 9 9 5 9 9 9 9 5 || Armodue-Mesotonic 1/9-tone (with an approximation
| |
| of the Perfect Fifth + 1/5 Pyth.Comma [706,8 Cents]) ||
| |
| || || || || || 25\[[57edo|57]] || || || 7 7 7 4 7 7 7 7 4 || Armodue-Mesotonic 1/7-tone (the best compromise for the [[7_4|7/4]] interval) ||
| |
| || || || || 18\[[41edo|41]] || || || || 5 5 5 3 5 5 5 5 3 || Armodue-Mesotonic 1/5-tone ||
| |
| || || || || || 29\[[66edo|66]] || || || 8 8 8 5 8 8 8 8 5 || ||
| |
| || || || 11\[[25edo|25]] || || || || || 3 3 3 2 3 3 3 3 2 || MESOTONIC Type of Armodue 1/3-tone ||
| |
| || || || || || 26\[[59edo|59]] || || || 7 7 7 5 7 7 7 7 5 || ||
| |
| || || || || 15\[[34edo|34]] || || || || 4 4 4 3 4 4 4 4 3 || ||
| |
| || || || || || 19\[[43edo|43]] || || || 5 5 5 4 5 5 5 5 4 || ||
| |
| || 4\[[9edo|9]] || || || || || || || 1 1 1 1 1 1 1 1 1 || ||</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>7L 2s</title></head><body>This page is about <a class="wiki_link" href="/MOSScales">MOSScales</a> with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).<br />
| |
| <br />
| |
| This MOS pattern is a wasteland as far as low-harmonic-entropy scales are concerned. If your harmonic entropy is coarse enough (that is, if 520 cents is an acceptable 4/3 to you), then <a class="wiki_link" href="/Pelogic%20family">mavila</a> could show up as a slight, broad minimum. So a general name for this MOS pattern could be &quot;mavila superdiatonic&quot;.<br />
| |
|
| |
|
| | == Scale properties == |
| | {{TAMNAMS use}} |
|
| |
|
| <table class="wiki_table">
| | === Intervals === |
| <tr>
| | {{MOS intervals}} |
| <th colspan="7">Generator<br />
| |
| </th>
| |
| <th>Scale steps<br />
| |
| </th>
| |
| <th>Comments<br />
| |
| </th>
| |
| </tr>
| |
| <tr>
| |
| <td>3\<a class="wiki_link" href="/7edo">7</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>1 1 1 0 1 1 1 1 0<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>16\37<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5 5 5 1 5 5 5 5 1<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>13\<a class="wiki_link" href="/30edo">30</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>4 4 4 1 4 4 4 4 1<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>23\<a class="wiki_link" href="/53edo">53</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7 7 7 2 7 7 7 7 2<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>10\<a class="wiki_link" href="/23edo">23</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>3 3 3 1 3 3 3 3 1<br />
| |
| </td>
| |
| <td>HORNBOSTEL TEMPERAMENT (Armodue 1/3-tones)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>37\<a class="wiki_link" href="/85edo">85</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11 11 11 4 11 11 11 11 4<br />
| |
| </td>
| |
| <td>Armodue-Hornbostel 1/11-tones<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>27\<a class="wiki_link" href="/62edo">62</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>8 8 8 3 8 8 8 8 3<br />
| |
| </td>
| |
| <td>Armodue-Hornbostel 1/8-tones<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td>17\<a class="wiki_link" href="/39edo">39</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>5 5 5 2 5 5 5 5 2<br />
| |
| </td>
| |
| <td>Armodue-Hornbostel 1/5-tones<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>24\<a class="wiki_link" href="/55edo">55</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7 7 7 3 7 7 7 7 3<br />
| |
| </td>
| |
| <td>Armodue-Hornbostel 1/7-tones<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>31\<a class="wiki_link" href="/71edo">71</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>9 9 9 4 9 9 9 9 4<br />
| |
| </td>
| |
| <td>UNFAIR Armodue-Hornbostel 1/9-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>38\<a class="wiki_link" href="/87edo">87</a><br />
| |
| </td>
| |
| <td>11 11 11 5 11 11 11 11 5<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td>7\<a class="wiki_link" href="/16edo">16</a><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td>2 2 2 1 2 2 2 2 1<br />
| |
| </td>
| |
| <td>ARMODUE ESADECAFONIA (or Goldsmith Temperament)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <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>39\<a class="wiki_link" href="/89edo">89</a><br />
| |
| </td>
| |
| <td>11 11 11 6 11 11 11 11 6<br />
| |
| </td>
| |
| <td>Armodue-Mesotonic 1/11-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>32\<a class="wiki_link" href="/73edo">73</a><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td>9 9 9 5 9 9 9 9 5<br />
| |
| </td>
| |
| <td>Armodue-Mesotonic 1/9-tone (with an approximation<br />
| |
| of the Perfect Fifth + 1/5 Pyth.Comma [706,8 Cents])<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>25\<a class="wiki_link" href="/57edo">57</a><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>7 7 7 4 7 7 7 7 4<br />
| |
| </td>
| |
| <td>Armodue-Mesotonic 1/7-tone (the best compromise for the <a class="wiki_link" href="/7_4">7/4</a> interval)<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td>18\<a class="wiki_link" href="/41edo">41</a><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>5 5 5 3 5 5 5 5 3<br />
| |
| </td>
| |
| <td>Armodue-Mesotonic 1/5-tone<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>29\<a class="wiki_link" href="/66edo">66</a><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td>8 8 8 5 8 8 8 8 5<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td>11\<a class="wiki_link" href="/25edo">25</a><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>3 3 3 2 3 3 3 3 2<br />
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| </td>
| |
| <td>MESOTONIC Type of Armodue 1/3-tone<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td>26\<a class="wiki_link" href="/59edo">59</a><br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td>7 7 7 5 7 7 7 7 5<br />
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| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td><br />
| |
| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>15\<a class="wiki_link" href="/34edo">34</a><br />
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| </td>
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| <td><br />
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| </td>
| |
| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>4 4 4 3 4 4 4 4 3<br />
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| </td>
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| <td><br />
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| </td>
| |
| </tr>
| |
| <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>
| |
| <td>19\<a class="wiki_link" href="/43edo">43</a><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td><br />
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| </td>
| |
| <td>5 5 5 4 5 5 5 5 4<br />
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| </td>
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| <td><br />
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| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4\<a class="wiki_link" href="/9edo">9</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><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>
| |
| <td>1 1 1 1 1 1 1 1 1<br />
| |
| </td>
| |
| <td><br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div> | | === Generator chain === |
| | {{MOS genchain}} |
| | |
| | === Modes === |
| | {{MOS mode degrees}} |
| | |
| | === Proposed mode names === |
| | The Ad- mode names proposed by [[groundfault]] have the feature of matching up the middle 7 modes with the antidiatonic mode names in the generator arc. |
| | {{MOS modes |
| | | Table Headers= |
| | Super- Mode Names $ |
| | Ad- Mode Names (ground) $ |
| | | Table Entries= |
| | Superlydian $ |
| | TBD $ |
| | Superionian $ |
| | Adlocrian $ |
| | Supermixolydian $ |
| | Adphrygian $ |
| | Supercorinthian $ |
| | Adaeolian $ |
| | Superolympian $ |
| | Addorian $ |
| | Superdorian $ |
| | Admixolydian $ |
| | Superaeolian $ |
| | Adionian $ |
| | Superphrygian $ |
| | Adlydian $ |
| | Superlocrian $ |
| | TBD |
| | }} |
| | |
| | == Note names== |
| | 7L 2s, when viewed under Armodue theory, can be notated using Armodue notation. |
| | |
| | == Theory == |
| | === Temperament interpretations === |
| | [[Pelogic family#Mavila|Mavila]] is an important harmonic entropy minimum here, insofar as 670-680{{c}} can be considered a fifth. Other temperaments include septimal mavila, hornbostel, and trismegistus. |
| | |
| | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 1/1 = Near exact-7/6 [[Pelogic_family#Armodue|Armodue]] |
| | | 4/3 = Near exact-20/17 [[Pentagoth]] |
| | | 7/5 = Near exact-5/4 [[Mavila]] |
| | | 3/2 = Near exact-13/11 Pentagoth |
| | | 7/4 = Near exact-7/4 [[Pelogic_family#Armodue|Armodue]] |
| | | 10/3 = Near exact-6/5 [[Mavila]] |
| | | 6/1 = [[Gravity]] ↓ |
| | }} |
| | |
| | [[Category:9-tone scales]] |
| | [[Category:Mavila]] |