7L 2s: Difference between revisions

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Wikispaces>phylingual
**Imported revision 340448942 - Original comment: **
Wikispaces>Osmiorisbendi
**Imported revision 340671190 - 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>2012-05-29 08:46:55 UTC</tt>.<br>
: This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-05-29 16:50:35 UTC</tt>.<br>
: The original revision id was <tt>340448942</tt>.<br>
: The original revision id was <tt>340671190</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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||=  ||=  ||=  ||=  ||=  ||=  ||= 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;  ||
||=  ||=  ||=  ||=  ||= 156\[[359edo|359]] ||=  ||=  ||=  ||=  ||&lt; 47 47 47 15 47 47 47 47 15 ||&lt; 1/47-tone, a very heavy representation of Hornbostel Temperament ||
||=  ||=  ||=  ||=  ||= 156\[[359edo|359]] ||=  ||=  ||=  ||=  ||&lt; 47 47 47 15 47 47 47 47 15 ||&lt; 47;15 Superdiatonic 1/47-tone, a very heavy representation of Hornbostel Temperament ||
||=  ||=  ||=  ||=  ||= 93\[[214edo|214]] ||=  ||=  ||=  ||=  ||&lt; 28 28 28 9 28 28 28 28 9 ||&lt; 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth) ||
||=  ||=  ||=  ||=  ||= 93\[[214edo|214]] ||=  ||=  ||=  ||=  ||&lt; 28 28 28 9 28 28 28 28 9 ||&lt; 28;9 Superdiatonic 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth) ||
||=  ||=  ||=  ||= 134\[[237edo|237]] ||=  ||=  ||=  ||=  ||=  ||&lt; 31 31 31 10 31 31 31 31 10 ||&lt; HORNBOSTEL TEMPERAMENT (1/31-tones; Optimum high size
||=  ||=  ||=  ||= 134\[[237edo|237]] ||=  ||=  ||=  ||=  ||=  ||&lt; 31 31 31 10 31 31 31 31 10 ||&lt; HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size
of Hornbostel '6th') ||
of Hornbostel '6th') ||
||=  ||=  ||= 10\[[23edo|23]] ||=  ||=  ||=  ||=  ||=  ||=  ||&lt; 3 3 3 1 3 3 3 3 1 ||&lt; HORNBOSTEL TEMPERAMENT (Armodue 1/3-tones) ||
||=  ||=  ||= 10\[[23edo|23]] ||=  ||=  ||=  ||=  ||=  ||=  ||&lt; 3 3 3 1 3 3 3 3 1 ||&lt; HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone) ||
||  ||  ||  || 97\[[223edo|223]] ||  ||  ||  ||  ||  || 29 29 29 10 29
29 29 29 10 || HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone) ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 113\[[200edo|200]] ||&lt; 26 26 26 9 26 26 26 26 9 ||&lt; HORNBOSTEL (&amp; [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 113\[[200edo|200]] ||&lt; 26 26 26 9 26 26 26 26 9 ||&lt; HORNBOSTEL (&amp; [[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' &amp; '8') ||
(Armodue 1/26-tone; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp; '8') ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 57\[[131edo|131]] ||=  ||&lt; 17 17 17 6 17 17 17 17 6 ||&lt; Armodue-Hornbostel 1/17-tones (the Golden Tone System of
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 57\[[131edo|131]] ||=  ||&lt; 17 17 17 6 17 17 17 17 6 ||&lt; Armodue-Hornbostel 1/17-tone (the Golden Tone System of
Thorvald Kornerup and a temperament of the Alexei
Thorvald Kornerup and a temperament of the Alexei
Ogolevets's list of temperaments) ||
Ogolevets's list of temperaments) ||
||=  ||=  ||=  ||=  ||=  ||=  ||= 37\[[85edo|85]] ||=  ||=  ||&lt; 11 11 11 4 11
||=  ||=  ||=  ||=  ||=  ||=  ||= 37\[[85edo|85]] ||=  ||=  ||&lt; 11 11 11 4 11
11 11 11 4 ||&lt; Armodue-Hornbostel 1/11-tones (Optimum accuracy of Phi
11 11 11 4 ||&lt; Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi
interval, the note '7') ||
interval, the note '7') ||
||=  ||=  ||=  ||=  ||=  ||= 27\[[62edo|62]] ||=  ||=  ||=  ||&lt; 8 8 8 3 8 8 8 8 3 ||&lt; Armodue-Hornbostel 1/8-tones ||
||=  ||=  ||=  ||=  ||=  ||= 27\[[62edo|62]] ||=  ||=  ||=  ||&lt; 8 8 8 3 8 8 8 8 3 ||&lt; Armodue-Hornbostel 1/8-tone ||
||=  ||=  ||=  ||=  ||= 44\[[101edo|101]] ||=  ||=  ||=  ||=  ||&lt; 13 13 13 5 13 13 13 13 5 ||&lt; Armodue-Hornbostel 1/13-tones ||
||=  ||=  ||=  ||=  ||= 44\[[101edo|101]] ||=  ||=  ||=  ||=  ||&lt; 13 13 13 5 13 13 13 13 5 ||&lt; Armodue-Hornbostel 1/13-tone ||
||=  ||=  ||=  ||= 17\[[39edo|39]] ||=  ||=  ||=  ||=  ||=  ||&lt; 5 5 5 2 5 5 5 5 2 ||&lt; Armodue-Hornbostel 1/5-tones (Optimum low size of Hornbostel '6th') ||
||=  ||=  ||=  ||= 17\[[39edo|39]] ||=  ||=  ||=  ||=  ||=  ||&lt; 5 5 5 2 5 5 5 5 2 ||&lt; Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th') ||
||=  ||=  ||=  ||=  ||= 58\[[133edo|133]] ||=  ||=  ||=  ||=  ||&lt; 17 17 17 7 17 17 17 17 7 ||&lt; 1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17) ||
||=  ||=  ||=  ||=  ||= 58\[[133edo|133]] ||=  ||=  ||=  ||=  ||&lt; 17 17 17 7 17 17 17 17 7 ||&lt; 17;7 Superdiatonic 1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17) ||
||=  ||=  ||=  ||=  ||=  ||= 24\[[55edo|55]] ||=  ||=  ||=  ||&lt; 7 7 7 3 7 7 7 7 3 ||&lt; Armodue-"Hornbostel" 1/7-tones ||
||=  ||=  ||=  ||=  ||=  ||= 24\[[55edo|55]] ||=  ||=  ||=  ||&lt; 7 7 7 3 7 7 7 7 3 ||&lt; 7;3 Superdiatonic 1/7-tone ||
||=  ||=  ||=  ||=  ||=  ||=  ||= 31\[[71edo|71]] ||=  ||=  ||&lt; 9 9 9 4 9 9 9 9 4 ||&lt; UNFAIR Armodue-Hornbostel 1/9-tone ||
||=  ||=  ||=  ||=  ||=  ||=  ||= 31\[[71edo|71]] ||=  ||=  ||&lt; 9 9 9 4 9 9 9 9 4 ||&lt; 9;4 Superdiatonic 1/9-tone ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 38\[[87edo|87]] ||&lt; 11 11 11 5 11 11 11 11 5 ||&lt;  ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 38\[[87edo|87]] ||&lt; 11 11 11 5 11 11 11 11 5 ||&lt;  ||
||=  ||= 7\[[16edo|16]] ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||&lt; 2 2 2 1 2 2 2 2 1 ||&lt; &lt;span style="display: block; text-align: left;"&gt;[BOUNDARY OF PROPRIETY: larger generators are strictly proper]&lt;/span&gt;ARMODUE ESADECAFONIA (or Goldsmith Temperament) ||
||=  ||= 7\[[16edo|16]] ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||&lt; 2 2 2 1 2 2 2 2 1 ||&lt; &lt;span style="display: block; text-align: left;"&gt;[BOUNDARY OF PROPRIETY: larger generators are strictly proper]&lt;/span&gt;ARMODUE ESADECAFONIA (or Goldsmith Temperament) ||
||  ||  ||  ||  ||  ||  ||  ||  || 46\[[105edo|105]] || 13 13 13 7 13
||  ||  ||  ||  ||  ||  ||  ||  || 46\[[105edo|105]] || 13 13 13 7 13
13 13 13 7 || Armodue-Mesotonic 1/13-tone ||
13 13 13 7 || Armodue-Mavila 1/13-tone ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 39\[[89edo|89]] ||=  ||&lt; 11 11 11 6 11 11 11 11 6 ||&lt; Armodue-Mesotonic 1/11-tone ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 39\[[89edo|89]] ||=  ||&lt; 11 11 11 6 11 11 11 11 6 ||&lt; Armodue-Mavila 1/11-tone ||
||=  ||=  ||=  ||=  ||=  ||=  ||= 32\[[73edo|73]] ||=  ||=  ||&lt; 9 9 9 5 9 9 9 9 5 ||&lt; Armodue-Mesotonic 1/9-tone (with an approximation
||=  ||=  ||=  ||=  ||=  ||=  ||= 32\[[73edo|73]] ||=  ||=  ||&lt; 9 9 9 5 9 9 9 9 5 ||&lt; Armodue-Mavila 1/9-tone (with an approximation
of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents) ||
of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents) ||
||=  ||=  ||=  ||=  ||=  ||= 25\[[57edo|57]] ||=  ||=  ||=  ||&lt; 7 7 7 4 7 7 7 7 4 ||&lt; Armodue-Mesotonic 1/7-tone (the 'Commatic' version of
||=  ||=  ||=  ||=  ||=  ||= 25\[[57edo|57]] ||=  ||=  ||=  ||&lt; 7 7 7 4 7 7 7 7 4 ||&lt; Armodue-Mavila 1/7-tone (the 'Commatic' version of
Armodue, because its highly accuracy of the [[7_4|7/4]]
Armodue, because its highly accuracy of the [[7_4|7/4]]
interval, the note '8') ||
interval, the note '8') ||
||=  ||=  ||=  ||= 18\[[41edo|41]] ||=  ||=  ||=  ||=  ||=  ||&lt; 5 5 5 3 5 5 5 5 3 ||&lt; Armodue-Mesotonic 1/5-tone ||
||=  ||=  ||=  ||= 18\[[41edo|41]] ||=  ||=  ||=  ||=  ||=  ||&lt; 5 5 5 3 5 5 5 5 3 ||&lt; 5;3 Golden Armodue-Mavila 1/5-tone ||
||=  ||=  ||=  ||=  ||=  ||=  ||= 47\107 ||=  ||=  ||&lt; 13 13 13 8 13 13 13 13 8 ||&lt; 1/13-tone ||
||=  ||=  ||=  ||=  ||=  ||=  ||= 47\[[107edo|107]] ||=  ||=  ||&lt; 13 13 13 8 13 13 13 13 8 ||&lt; 13;8 Golden Mavila 1/13-tone ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 86\173 ||&lt; 21 21 21 13 21 21 21 21 13 ||&lt; Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173) ||
||=  ||=  ||=  ||=  ||=  ||=  ||=  ||=  ||= 86\[[173edo|173]] ||&lt; 21 21 21 13 21 21 21 21 13 ||&lt; 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]] ||=  ||=  ||=  ||&lt; 8 8 8 5 8 8 8 8 5 ||&lt;   ||
||=  ||=  ||=  ||=  ||=  ||= 29\[[66edo|66]] ||=  ||=  ||=  ||&lt; 8 8 8 5 8 8 8 8 5 ||&lt; 8;5 Golden Mavila 1/8-tone ||
||=  ||=  ||= 11\[[25edo|25]] ||=  ||=  ||=  ||=  ||=  ||=  ||&lt; 3 3 3 2 3 3 3 3 2 ||&lt; MESOTONIC Type of Armodue 1/3-tone; Optimum rank range (L/s=3/2) ||
||=  ||=  ||= 11\[[25edo|25]] ||=  ||=  ||=  ||=  ||=  ||=  ||&lt; 3 3 3 2 3 3 3 3 2 ||&lt; 3;2 Golden Armodue-Mavila 1/3-tone ||
||=  ||=  ||=  ||=  ||=  ||= 26\[[59edo|59]] ||=  ||=  ||=  ||&lt; 7 7 7 5 7 7 7 7 5 ||&lt;  ||
||=  ||=  ||=  ||=  ||=  ||= 26\[[59edo|59]] ||=  ||=  ||=  ||&lt; 7 7 7 5 7 7 7 7 5 ||&lt;  ||
||=  ||=  ||=  ||= 15\[[34edo|34]] ||=  ||=  ||=  ||=  ||=  ||&lt; 4 4 4 3 4 4 4 4 3 ||&lt;  ||
||=  ||=  ||=  ||= 15\[[34edo|34]] ||=  ||=  ||=  ||=  ||=  ||&lt; 4 4 4 3 4 4 4 4 3 ||&lt;  ||
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         &lt;td style="text-align: left;"&gt;47 47 47 15 47 47 47 47 15&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;47 47 47 15 47 47 47 47 15&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;1/47-tone, a very heavy representation of Hornbostel Temperament&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;47;15 Superdiatonic 1/47-tone, a very heavy representation of Hornbostel Temperament&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td style="text-align: left;"&gt;28 28 28 9 28 28 28 28 9&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;28 28 28 9 28 28 28 28 9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;28;9 Superdiatonic 1/28-tone (a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td style="text-align: left;"&gt;31 31 31 10 31 31 31 31 10&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;31 31 31 10 31 31 31 31 10&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT (1/31-tones; Optimum high size&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size&lt;br /&gt;
of Hornbostel '6th')&lt;br /&gt;
of Hornbostel '6th')&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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         &lt;td style="text-align: left;"&gt;3 3 3 1 3 3 3 3 1&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;3 3 3 1 3 3 3 3 1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT (Armodue 1/3-tones)&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone)&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;97\&lt;a class="wiki_link" href="/223edo"&gt;223&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;29 29 29 10 29&lt;br /&gt;
29 29 29 10&lt;br /&gt;
&lt;/td&gt;
        &lt;td&gt;HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;HORNBOSTEL (&amp;amp; &lt;a class="wiki_link" href="/Alexei%20Stepanovich%20Ogolevets"&gt;OGOLEVETS&lt;/a&gt;) TEMPERAMENT&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;HORNBOSTEL (&amp;amp; &lt;a class="wiki_link" href="/Alexei%20Stepanovich%20Ogolevets"&gt;OGOLEVETS&lt;/a&gt;) TEMPERAMENT&lt;br /&gt;
(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;amp; '8')&lt;br /&gt;
(Armodue 1/26-tone; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp;amp; '8')&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td style="text-align: left;"&gt;17 17 17 6 17 17 17 17 6&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;17 17 17 6 17 17 17 17 6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/17-tones (the Golden Tone System of&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/17-tone (the Golden Tone System of&lt;br /&gt;
Thorvald Kornerup and a temperament of the Alexei&lt;br /&gt;
Thorvald Kornerup and a temperament of the Alexei&lt;br /&gt;
Ogolevets's list of temperaments)&lt;br /&gt;
Ogolevets's list of temperaments)&lt;br /&gt;
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11 11 11 4&lt;br /&gt;
11 11 11 4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/11-tones (Optimum accuracy of Phi&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi&lt;br /&gt;
interval, the note '7')&lt;br /&gt;
interval, the note '7')&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
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         &lt;td style="text-align: left;"&gt;8 8 8 3 8 8 8 8 3&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;8 8 8 3 8 8 8 8 3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/8-tones&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/8-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td style="text-align: left;"&gt;13 13 13 5 13 13 13 13 5&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;13 13 13 5 13 13 13 13 5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/13-tones&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/13-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td style="text-align: left;"&gt;5 5 5 2 5 5 5 5 2&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;5 5 5 2 5 5 5 5 2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/5-tones (Optimum low size of Hornbostel '6th')&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th')&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td style="text-align: left;"&gt;17 17 17 7 17 17 17 17 7&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;17 17 17 7 17 17 17 17 7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17)&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;17;7 Superdiatonic 1/17-tone (Note the very accuracy of the step 58 with the ratio 23/17)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
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         &lt;td style="text-align: left;"&gt;7 7 7 3 7 7 7 7 3&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;7 7 7 3 7 7 7 7 3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;Armodue-&amp;quot;Hornbostel&amp;quot; 1/7-tones&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;7;3 Superdiatonic 1/7-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 490: Line 517:
         &lt;td style="text-align: left;"&gt;9 9 9 4 9 9 9 9 4&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;9 9 9 4 9 9 9 9 4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;UNFAIR Armodue-Hornbostel 1/9-tone&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;9;4 Superdiatonic 1/9-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 563: Line 590:
13 13 13 7&lt;br /&gt;
13 13 13 7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;Armodue-Mesotonic 1/13-tone&lt;br /&gt;
         &lt;td&gt;Armodue-Mavila 1/13-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 587: Line 614:
         &lt;td style="text-align: left;"&gt;11 11 11 6 11 11 11 11 6&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;11 11 11 6 11 11 11 11 6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Mesotonic 1/11-tone&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Mavila 1/11-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 611: Line 638:
         &lt;td style="text-align: left;"&gt;9 9 9 5 9 9 9 9 5&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;9 9 9 5 9 9 9 9 5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Mesotonic 1/9-tone (with an approximation&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Mavila 1/9-tone (with an approximation&lt;br /&gt;
of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)&lt;br /&gt;
of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 636: Line 663:
         &lt;td style="text-align: left;"&gt;7 7 7 4 7 7 7 7 4&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;7 7 7 4 7 7 7 7 4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Mesotonic 1/7-tone (the 'Commatic' version of&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Mavila 1/7-tone (the 'Commatic' version of&lt;br /&gt;
Armodue, because its highly accuracy of the &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;&lt;br /&gt;
Armodue, because its highly accuracy of the &lt;a class="wiki_link" href="/7_4"&gt;7/4&lt;/a&gt;&lt;br /&gt;
interval, the note '8')&lt;br /&gt;
interval, the note '8')&lt;br /&gt;
Line 662: Line 689:
         &lt;td style="text-align: left;"&gt;5 5 5 3 5 5 5 5 3&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;5 5 5 3 5 5 5 5 3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;Armodue-Mesotonic 1/5-tone&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;5;3 Golden Armodue-Mavila 1/5-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 678: Line 705:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;47\107&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;47\&lt;a class="wiki_link" href="/107edo"&gt;107&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
Line 686: Line 713:
         &lt;td style="text-align: left;"&gt;13 13 13 8 13 13 13 13 8&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;13 13 13 8 13 13 13 13 8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;1/13-tone&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;13;8 Golden Mavila 1/13-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 706: Line 733:
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: center;"&gt;86\173&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;86\&lt;a class="wiki_link" href="/173edo"&gt;173&lt;/a&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;21 21 21 13 21 21 21 21 13&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;21 21 21 13 21 21 21 21 13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173)&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;21;13 Golden Mavila 1/21-tone (ratio between large and small steps is Phi, and Phi in the step 120\173)&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 734: Line 761:
         &lt;td style="text-align: left;"&gt;8 8 8 5 8 8 8 8 5&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;8 8 8 5 8 8 8 8 5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;8;5 Golden Mavila 1/8-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;
Line 758: Line 785:
         &lt;td style="text-align: left;"&gt;3 3 3 2 3 3 3 3 2&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;3 3 3 2 3 3 3 3 2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;MESOTONIC Type of Armodue 1/3-tone; Optimum rank range (L/s=3/2)&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;3;2 Golden Armodue-Mavila 1/3-tone&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
     &lt;/tr&gt;
     &lt;/tr&gt;

Revision as of 16:50, 29 May 2012

IMPORTED REVISION FROM WIKISPACES

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This revision was by author Osmiorisbendi and made on 2012-05-29 16:50:35 UTC.
The original revision id was 340671190.
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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 ||< 47;15 Superdiatonic 1/47-tone, a very heavy representation of Hornbostel Temperament ||
||=   ||=   ||=   ||=   ||= 93\[[214edo|214]] ||=   ||=   ||=   ||=   ||< 28 28 28 9 28 28 28 28 9 ||< 28;9 Superdiatonic 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-tone; Optimum high size
of Hornbostel '6th') ||
||=   ||=   ||= 10\[[23edo|23]] ||=   ||=   ||=   ||=   ||=   ||=   ||< 3 3 3 1 3 3 3 3 1 ||< HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone) ||
||   ||   ||   || 97\[[223edo|223]] ||   ||   ||   ||   ||   || 29 29 29 10 29
29 29 29 10 || HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone) ||
||=   ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 113\[[200edo|200]] ||< 26 26 26 9 26 26 26 26 9 ||< HORNBOSTEL (& [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT
(Armodue 1/26-tone; 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-tone (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-tone (Optimum accuracy of Phi
interval, the note '7') ||
||=   ||=   ||=   ||=   ||=   ||= 27\[[62edo|62]] ||=   ||=   ||=   ||< 8 8 8 3 8 8 8 8 3 ||< Armodue-Hornbostel 1/8-tone ||
||=   ||=   ||=   ||=   ||= 44\[[101edo|101]] ||=   ||=   ||=   ||=   ||< 13 13 13 5 13 13 13 13 5 ||< Armodue-Hornbostel 1/13-tone ||
||=   ||=   ||=   ||= 17\[[39edo|39]] ||=   ||=   ||=   ||=   ||=   ||< 5 5 5 2 5 5 5 5 2 ||< Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th') ||
||=   ||=   ||=   ||=   ||= 58\[[133edo|133]] ||=   ||=   ||=   ||=   ||< 17 17 17 7 17 17 17 17 7 ||< 17;7 Superdiatonic 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 ||< 7;3 Superdiatonic 1/7-tone ||
||=   ||=   ||=   ||=   ||=   ||=   ||= 31\[[71edo|71]] ||=   ||=   ||< 9 9 9 4 9 9 9 9 4 ||< 9;4 Superdiatonic 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 ||< <span style="display: block; text-align: left;">[BOUNDARY OF PROPRIETY: larger generators are strictly proper]</span>ARMODUE ESADECAFONIA (or Goldsmith Temperament) ||
||   ||   ||   ||   ||   ||   ||   ||   || 46\[[105edo|105]] || 13 13 13 7 13
13 13 13 7 || Armodue-Mavila 1/13-tone ||
||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 39\[[89edo|89]] ||=   ||< 11 11 11 6 11 11 11 11 6 ||< Armodue-Mavila 1/11-tone ||
||=   ||=   ||=   ||=   ||=   ||=   ||= 32\[[73edo|73]] ||=   ||=   ||< 9 9 9 5 9 9 9 9 5 ||< Armodue-Mavila 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-Mavila 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 ||< 5;3 Golden Armodue-Mavila 1/5-tone ||
||=   ||=   ||=   ||=   ||=   ||=   ||= 47\[[107edo|107]] ||=   ||=   ||< 13 13 13 8 13 13 13 13 8 ||< 13;8 Golden Mavila 1/13-tone ||
||=   ||=   ||=   ||=   ||=   ||=   ||=   ||=   ||= 86\[[173edo|173]] ||< 21 21 21 13 21 21 21 21 13 ||< 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 ||< 8;5 Golden Mavila 1/8-tone ||
||=   ||=   ||= 11\[[25edo|25]] ||=   ||=   ||=   ||=   ||=   ||=   ||< 3 3 3 2 3 3 3 3 2 ||< 3;2 Golden Armodue-Mavila 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 ||<   ||

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;">47;15 Superdiatonic 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;">28;9 Superdiatonic 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-tone; 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-tone)<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>97\<a class="wiki_link" href="/223edo">223</a><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>29 29 29 10 29<br />
29 29 29 10<br />
</td>
        <td>HORNBOSTEL TEMPERAMENT (Armodue 1/29-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;">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 />
(Armodue 1/26-tone; 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-tone (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-tone (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-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;">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-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;">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-tone (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;">17;7 Superdiatonic 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;">7;3 Superdiatonic 1/7-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;">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;">9;4 Superdiatonic 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;"><span style="display: block; text-align: left;">[BOUNDARY OF PROPRIETY: larger generators are strictly proper]</span>ARMODUE ESADECAFONIA (or Goldsmith Temperament)<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-Mavila 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-Mavila 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-Mavila 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-Mavila 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;">5;3 Golden Armodue-Mavila 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\<a class="wiki_link" href="/107edo">107</a><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;">13;8 Golden Mavila 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\<a class="wiki_link" href="/173edo">173</a><br />
</td>
        <td style="text-align: left;">21 21 21 13 21 21 21 21 13<br />
</td>
        <td style="text-align: left;">21;13 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;">8;5 Golden Mavila 1/8-tone<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;">3;2 Golden Armodue-Mavila 1/3-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;">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>