7L 2s: Difference between revisions

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**Imported revision 339985094 - Original comment: **
Wikispaces>guest
**Imported revision 340371822 - 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:phylingual|phylingual]] and made on <tt>2012-05-28 00:31:29 UTC</tt>.<br>
: This revision was by author [[User:guest|guest]] and made on <tt>2012-05-29 03:31:17 UTC</tt>.<br>
: The original revision id was <tt>339985094</tt>.<br>
: The original revision id was <tt>340371822</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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||~  ||~  ||||||||||||||~ Generator ||~ Scale steps ||~ Comments ||
||~  ||~  ||||||||||||||~ Generator ||~ Scale steps ||~ Comments ||
||= 3\[[7edo|7]] ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||&lt; 1 1 1 0 1 1 1 1 0 ||&lt;  ||
||= 3\[[7edo|7]] ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||&lt; 1 1 1 0 1 1 1 1 0 ||&lt;  ||
||=  ||=  ||=  ||=  ||=  ||= 16\37 ||=  ||=  ||=  ||&lt; 5 5 5 1 5 5 5 5 1 ||&lt;  ||
||=  ||=  ||=  ||=  ||=  ||= 16\[[37edo|37]] ||=  ||=  ||=  ||&lt; 5 5 5 1 5 5 5 5 1 ||&lt;  ||
||=  ||=  ||=  ||=  ||=  ||=  ||= 13\[[30edo|30]] ||=  ||=  ||&lt; 4 4 4 1 4 4 4 4 1 ||&lt;  ||
||=  ||=  ||=  ||=  ||=  ||=  ||= 13\[[30edo|30]] ||=  ||=  ||&lt; 4 4 4 1 4 4 4 4 1 ||&lt;  ||
||=  ||=  ||=  ||=  ||=  ||= 23\[[53edo|53]] ||=  ||=  ||=  ||&lt; 7 7 7 2 7 7 7 7 2 ||&lt;  ||
||=  ||=  ||=  ||=  ||=  ||= 23\[[53edo|53]] ||=  ||=  ||=  ||&lt; 7 7 7 2 7 7 7 7 2 ||&lt;  ||
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         &lt;td style="text-align: center;"&gt;16\&lt;a class="wiki_link" href="/37edo"&gt;37&lt;/a&gt;&lt;br /&gt;
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Revision as of 03:31, 29 May 2012

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author guest and made on 2012-05-29 03:31:17 UTC.
The original revision id was 340371822.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

This page is about [[MOSScales]] with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).

If you're looking for highly accurate scales (that is, ones that approximate JI closely), there are much better scale patterns to look at. However, if your harmonic entropy is coarse enough (that is, if 522 cents is an acceptable '4/3' to you), then [[Pelogic family|mavila]] is an important harmonic entropy minimum here. So a general name for this MOS pattern could be "Mavila Superdiatonic".

These scales are strongly associated with the [[Armodue]] project/system.

Optional types of 'JI Blown Fifths' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 133/90, 145/98, 176/119 & 250/169.
||~   ||~   ||||||||||||||~ Generator ||~ Scale steps ||~ Comments ||
||= 3\[[7edo|7]] ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||< 1 1 1 0 1 1 1 1 0 ||<   ||
||=   ||=   ||=   ||=   ||=   ||= 16\[[37edo|37]] ||=   ||=   ||=   ||< 5 5 5 1 5 5 5 5 1 ||<   ||
||=   ||=   ||=   ||=   ||=   ||=   ||= 13\[[30edo|30]] ||=   ||=   ||< 4 4 4 1 4 4 4 4 1 ||<   ||
||=   ||=   ||=   ||=   ||=   ||= 23\[[53edo|53]] ||=   ||=   ||=   ||< 7 7 7 2 7 7 7 7 2 ||<   ||
||=   ||=   ||=   ||=   ||= 156\[[359edo|359]] ||=   ||=   ||=   ||=   ||< 47 47 47 15 47 47 47 47 15 ||< 1/47-tone, a very heavy representation of Hornbostel Temperament ||
||=   ||=   ||=   ||=   ||= 93\[[214edo|214]] ||=   ||=   ||=   ||=   ||< 28 28 28 9 28 28 28 28 9 ||< 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth) ||
||=   ||=   ||=   ||= 134\[[237edo|237]] ||=   ||=   ||=   ||=   ||=   ||< 31 31 31 10 31 31 31 31 10 ||< HORNBOSTEL TEMPERAMENT (1/31-tones; Optimum high size
of Hornbostel '6th') ||
||=   ||=   ||= 10\[[23edo|23]] ||=   ||=   ||=   ||=   ||=   ||=   ||< 3 3 3 1 3 3 3 3 1 ||< HORNBOSTEL TEMPERAMENT (Armodue 1/3-tones) ||
||=   ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 113\[[200edo|200]] ||< 26 26 26 9 26 26 26 26 9 ||< HORNBOSTEL (& [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT
(1/26-tones; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' & '8') ||
||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 57\[[131edo|131]] ||=   ||< 17 17 17 6 17 17 17 17 6 ||< Armodue-Hornbostel 1/17-tones (the Golden Tone System of
Thorvald Kornerup and a temperament of the Alexei
Ogolevets's list of temperaments) ||
||=   ||=   ||=   ||=   ||=   ||=   ||= 37\[[85edo|85]] ||=   ||=   ||< 11 11 11 4 11
11 11 11 4 ||< Armodue-Hornbostel 1/11-tones (Optimum accuracy of Phi
interval, the note '7') ||
||=   ||=   ||=   ||=   ||=   ||= 27\[[62edo|62]] ||=   ||=   ||=   ||< 8 8 8 3 8 8 8 8 3 ||< Armodue-Hornbostel 1/8-tones ||
||=   ||=   ||=   ||=   ||= 44\[[101edo|101]] ||=   ||=   ||=   ||=   ||< 13 13 13 5 13 13 13 13 5 ||< Armodue-Hornbostel 1/13-tones ||
||=   ||=   ||=   ||= 17\[[39edo|39]] ||=   ||=   ||=   ||=   ||=   ||< 5 5 5 2 5 5 5 5 2 ||< Armodue-Hornbostel 1/5-tones (Optimum low size of Hornbostel '6th') ||
||=   ||=   ||=   ||=   ||= 58\[[133edo|133]] ||=   ||=   ||=   ||=   ||< 17 17 17 7 17 17 17 17 7 ||< 1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17) ||
||=   ||=   ||=   ||=   ||=   ||= 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)
[Boundary of propriety: larger generators are strictly proper] ||
||   ||   ||   ||   ||   ||   ||   ||   || 46\[[105edo|105]] || 13 13 13 7 13
13 13 13 7 || Armodue-Mesotonic 1/13-tone ||
||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 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 [706.65 Cents]: 43\73 is 706.85 Cents) ||
||=   ||=   ||=   ||=   ||=   ||= 25\[[57edo|57]] ||=   ||=   ||=   ||< 7 7 7 4 7 7 7 7 4 ||< Armodue-Mesotonic 1/7-tone (the 'Commatic' version of
Armodue, because its highly accuracy of the [[7_4|7/4]]
interval, the note '8') ||
||=   ||=   ||=   ||= 18\[[41edo|41]] ||=   ||=   ||=   ||=   ||=   ||< 5 5 5 3 5 5 5 5 3 ||< Armodue-Mesotonic 1/5-tone ||
||=   ||=   ||=   ||=   ||=   ||=   ||= 47\107 ||=   ||=   ||< 13 13 13 8 13 13 13 13 8 ||< 1/13-tone ||
||=   ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 86\173 ||< 21 21 21 13 21 21 21 21 13 ||< Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173) ||
||=   ||=   ||=   ||=   ||=   ||= 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; Optimum rank range (L/s=3/2) ||
||=   ||=   ||=   ||=   ||=   ||= 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 ||<   ||

Original HTML content:

<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 />
If you're looking for highly accurate scales (that is, ones that approximate JI closely), there are much better scale patterns to look at. However, if your harmonic entropy is coarse enough (that is, if 522 cents is an acceptable '4/3' to you), then <a class="wiki_link" href="/Pelogic%20family">mavila</a> is an important harmonic entropy minimum here. So a general name for this MOS pattern could be &quot;Mavila Superdiatonic&quot;.<br />
<br />
These scales are strongly associated with the <a class="wiki_link" href="/Armodue">Armodue</a> project/system.<br />
<br />
Optional types of 'JI Blown Fifths' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 133/90, 145/98, 176/119 &amp; 250/169.<br />


<table class="wiki_table">
    <tr>
        <th><br />
</th>
        <th><br />
</th>
        <th colspan="7">Generator<br />
</th>
        <th>Scale steps<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td style="text-align: center;">3\<a class="wiki_link" href="/7edo">7</a><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;"><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;"><br />
</td>
        <td style="text-align: left;">1 1 1 0 1 1 1 1 0<br />
</td>
        <td style="text-align: left;"><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;"><br />
</td>
        <td style="text-align: center;">16\<a class="wiki_link" href="/37edo">37</a><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: left;">5 5 5 1 5 5 5 5 1<br />
</td>
        <td style="text-align: left;"><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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">13\<a class="wiki_link" href="/30edo">30</a><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">4 4 4 1 4 4 4 4 1<br />
</td>
        <td style="text-align: left;"><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;"><br />
</td>
        <td style="text-align: center;">23\<a class="wiki_link" href="/53edo">53</a><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: left;">7 7 7 2 7 7 7 7 2<br />
</td>
        <td style="text-align: left;"><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;">156\<a class="wiki_link" href="/359edo">359</a><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;"><br />
</td>
        <td style="text-align: left;">47 47 47 15 47 47 47 47 15<br />
</td>
        <td style="text-align: left;">1/47-tone, a very heavy representation of Hornbostel Temperament<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;">93\<a class="wiki_link" href="/214edo">214</a><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;"><br />
</td>
        <td style="text-align: left;">28 28 28 9 28 28 28 28 9<br />
</td>
        <td style="text-align: left;">1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)<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;">134\<a class="wiki_link" href="/237edo">237</a><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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">31 31 31 10 31 31 31 31 10<br />
</td>
        <td style="text-align: left;">HORNBOSTEL TEMPERAMENT (1/31-tones; Optimum high size<br />
of Hornbostel '6th')<br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">10\<a class="wiki_link" href="/23edo">23</a><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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">3 3 3 1 3 3 3 3 1<br />
</td>
        <td style="text-align: left;">HORNBOSTEL TEMPERAMENT (Armodue 1/3-tones)<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;"><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;">113\<a class="wiki_link" href="/200edo">200</a><br />
</td>
        <td style="text-align: left;">26 26 26 9 26 26 26 26 9<br />
</td>
        <td style="text-align: left;">HORNBOSTEL (&amp; <a class="wiki_link" href="/Alexei%20Stepanovich%20Ogolevets">OGOLEVETS</a>) TEMPERAMENT<br />
(1/26-tones; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp; '8')<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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">57\<a class="wiki_link" href="/131edo">131</a><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">17 17 17 6 17 17 17 17 6<br />
</td>
        <td style="text-align: left;">Armodue-Hornbostel 1/17-tones (the Golden Tone System of<br />
Thorvald Kornerup and a temperament of the Alexei<br />
Ogolevets's list of temperaments)<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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">37\<a class="wiki_link" href="/85edo">85</a><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">11 11 11 4 11<br />
11 11 11 4<br />
</td>
        <td style="text-align: left;">Armodue-Hornbostel 1/11-tones (Optimum accuracy of Phi<br />
interval, the note '7')<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;"><br />
</td>
        <td style="text-align: center;">27\<a class="wiki_link" href="/62edo">62</a><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: left;">8 8 8 3 8 8 8 8 3<br />
</td>
        <td style="text-align: left;">Armodue-Hornbostel 1/8-tones<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;">44\<a class="wiki_link" href="/101edo">101</a><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;"><br />
</td>
        <td style="text-align: left;">13 13 13 5 13 13 13 13 5<br />
</td>
        <td style="text-align: left;">Armodue-Hornbostel 1/13-tones<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;">17\<a class="wiki_link" href="/39edo">39</a><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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">5 5 5 2 5 5 5 5 2<br />
</td>
        <td style="text-align: left;">Armodue-Hornbostel 1/5-tones (Optimum low size of Hornbostel '6th')<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;">58\<a class="wiki_link" href="/133edo">133</a><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;"><br />
</td>
        <td style="text-align: left;">17 17 17 7 17 17 17 17 7<br />
</td>
        <td style="text-align: left;">1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17)<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;"><br />
</td>
        <td style="text-align: center;">24\<a class="wiki_link" href="/55edo">55</a><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: left;">7 7 7 3 7 7 7 7 3<br />
</td>
        <td style="text-align: left;">Armodue-&quot;Hornbostel&quot; 1/7-tones<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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">31\<a class="wiki_link" href="/71edo">71</a><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">9 9 9 4 9 9 9 9 4<br />
</td>
        <td style="text-align: left;">UNFAIR Armodue-Hornbostel 1/9-tone<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;"><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;">38\<a class="wiki_link" href="/87edo">87</a><br />
</td>
        <td style="text-align: left;">11 11 11 5 11 11 11 11 5<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">7\<a class="wiki_link" href="/16edo">16</a><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;"><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: left;">2 2 2 1 2 2 2 2 1<br />
</td>
        <td style="text-align: left;">ARMODUE ESADECAFONIA (or Goldsmith Temperament)<br />
[Boundary of propriety: larger generators are strictly proper]<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>46\<a class="wiki_link" href="/105edo">105</a><br />
</td>
        <td>13 13 13 7 13<br />
13 13 13 7<br />
</td>
        <td>Armodue-Mesotonic 1/13-tone<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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">39\<a class="wiki_link" href="/89edo">89</a><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">11 11 11 6 11 11 11 11 6<br />
</td>
        <td style="text-align: left;">Armodue-Mesotonic 1/11-tone<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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">32\<a class="wiki_link" href="/73edo">73</a><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">9 9 9 5 9 9 9 9 5<br />
</td>
        <td style="text-align: left;">Armodue-Mesotonic 1/9-tone (with an approximation<br />
of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)<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;"><br />
</td>
        <td style="text-align: center;">25\<a class="wiki_link" href="/57edo">57</a><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: left;">7 7 7 4 7 7 7 7 4<br />
</td>
        <td style="text-align: left;">Armodue-Mesotonic 1/7-tone (the 'Commatic' version of<br />
Armodue, because its highly accuracy of the <a class="wiki_link" href="/7_4">7/4</a><br />
interval, the note '8')<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;">18\<a class="wiki_link" href="/41edo">41</a><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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">5 5 5 3 5 5 5 5 3<br />
</td>
        <td style="text-align: left;">Armodue-Mesotonic 1/5-tone<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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">47\107<br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">13 13 13 8 13 13 13 13 8<br />
</td>
        <td style="text-align: left;">1/13-tone<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;"><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;">86\173<br />
</td>
        <td style="text-align: left;">21 21 21 13 21 21 21 21 13<br />
</td>
        <td style="text-align: left;">Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173)<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;"><br />
</td>
        <td style="text-align: center;">29\<a class="wiki_link" href="/66edo">66</a><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: left;">8 8 8 5 8 8 8 8 5<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;">11\<a class="wiki_link" href="/25edo">25</a><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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">3 3 3 2 3 3 3 3 2<br />
</td>
        <td style="text-align: left;">MESOTONIC Type of Armodue 1/3-tone; Optimum rank range (L/s=3/2)<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;"><br />
</td>
        <td style="text-align: center;">26\<a class="wiki_link" href="/59edo">59</a><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: left;">7 7 7 5 7 7 7 7 5<br />
</td>
        <td style="text-align: left;"><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;">15\<a class="wiki_link" href="/34edo">34</a><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;"><br />
</td>
        <td style="text-align: center;"><br />
</td>
        <td style="text-align: left;">4 4 4 3 4 4 4 4 3<br />
</td>
        <td style="text-align: left;"><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;"><br />
</td>
        <td style="text-align: center;">19\<a class="wiki_link" href="/43edo">43</a><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: left;">5 5 5 4 5 5 5 5 4<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: center;">4\<a class="wiki_link" href="/9edo">9</a><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;"><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;"><br />
</td>
        <td style="text-align: left;">1 1 1 1 1 1 1 1 1<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
</table>

</body></html>