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Wikispaces>phylingual **Imported revision 341678028 - Original comment: ** |
Wikispaces>Osmiorisbendi **Imported revision 341920766 - 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: | : This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-06-01 18:34:11 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>341920766</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]] ||= ||= ||= ||= ||= ||= ||= ||= ||< 1 1 1 0 1 1 1 1 0 ||< || | ||= 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 ||< || | |||
||= ||= ||= ||= ||= 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) || | ||= ||= ||= ||= ||= 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 | ||= ||= ||= ||= 134\[[237edo|237]] ||= ||= ||= ||= ||= ||< 31 31 31 10 31 31 31 31 10 ||< HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size | ||
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|| || || || 97\[[223edo|223]] || || || || || || 29 29 29 10 29 | || || || || 97\[[223edo|223]] || || || || || || 29 29 29 10 29 | ||
29 29 29 10 || HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone) || | 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') || | (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 | Thorvald Kornerup and a temperament of the Alexei | ||
Ogolevets's list of temperaments) || | Ogolevets's list of temperaments) || | ||
||= ||= ||= ||= ||= ||= ||= 37\[[85edo|85]] | || || || || || || || 47\[[108edo|108]] || || || 14 14 14 5 14 | ||
14 14 14 5 || Armodue-Hornbostel 1/14-tone || | |||
|| || || || || || || || 84\[[193edo|193]] || || 25 25 25 9 25 | |||
25 25 25 9 || Armodue-Hornbostel 1/25-tone || | |||
||= ||= ||= ||= ||= ||= ||= ||= 37\[[85edo|85]] ||= ||< 11 11 11 4 11 | |||
11 11 11 4 ||< Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi | 11 11 11 4 ||< Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi | ||
interval, the note '7') || | interval, the note '7') || | ||
||= ||= ||= ||= ||= ||= 27\[[62edo|62]] | ||= ||= ||= ||= ||= ||= ||= 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 ||< | || || || || || || 71\[[163edo|163]] || || || || 21 21 21 8 21 21 21 21 8 || 21;8 Superdiatonic 1/21-tone || | ||
||= ||= ||= ||= ||= 44\[[101edo|101]] ||= ||= ||= ||= ||< 13 13 13 5 13 13 13 13 5 ||< 13;5 Superdiatonic 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') || | ||= ||= ||= ||= 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) || | ||= ||= ||= ||= ||= 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 || | ||= ||= ||= ||= ||= ||= 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 || | ||= ||= ||= ||= ||= ||= ||= 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 ||< || | |||
|| || || || || || || || || 45\[[103edo|103]] || 13 13 13 6 13 | |||
13 13 13 6 || 13;6 Superdiatonic 1/13-tone || | |||
||= ||= 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) || | ||= ||= 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 | || || || || || || || || || 46\[[105edo|105]] || 13 13 13 7 13 | ||
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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') || | ||
|| || || || || 61\[[139edo|139]] || || || || || 17 17 17 10 17 | |||
17 17 17 10 || Armodue-Mavila 1/17-tone || | |||
||= ||= ||= ||= 18\[[41edo|41]] ||= ||= ||= ||= ||= ||< 5 5 5 3 5 5 5 5 3 ||< 5;3 Golden Armodue-Mavila 1/5-tone || | ||= ||= ||= ||= 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]] | ||= ||= ||= ||= ||= ||= ||= 29\[[66edo|66]] ||= ||= ||< 8 8 8 5 8 8 8 8 5 ||< 8;5 Golden Mavila 1/8-tone || | ||
|| || || || || || || || 40\[[91edo|91]] || || 11 11 11 7 11 | |||
11 11 11 7 || 11;7 Superdiatonic 1/11-tone || | |||
|| || || || || || || || 91\[[207edo|207]] || || 25 25 25 16 25 | |||
25 25 25 16 || 25;16 Superdiatonic 1/25-tone || | |||
|| || || || || || || 51\[[116edo|116]] || || || 14 14 14 9 14 | |||
14 14 14 9 || 14;9 Superdiatonic 1/14-tone || | |||
|| || || || || || 62\[[141edo|141]] || || || || 17 17 17 11 17 | |||
17 17 17 11 || 17;11 Superdiatonic 1/17-tone || | |||
|| || || || || 95\[[216edo|216]] || || || || || 26 26 26 17 26 | |||
26 26 26 17 || 26;17 Superdiatonic 1/26-tone || | |||
|| || || || 106\[[241edo|241]] || || || || || || 29 29 29 19 29 | |||
29 29 29 19 || 29;19 Superdiatonic 1/29-tone || | |||
||= ||= ||= 11\[[25edo|25]] ||= ||= ||= ||= ||= ||= ||< 3 3 3 2 3 3 3 3 2 ||< 3;2 Golden Armodue-Mavila 1/3-tone || | ||= ||= ||= 11\[[25edo|25]] ||= ||= ||= ||= ||= ||= ||< 3 3 3 2 3 3 3 3 2 ||< 3;2 Golden Armodue-Mavila 1/3-tone || | ||
|| | || || || || 114\[[259edo|259]] || || || || || || 31 31 31 21 31 | ||
31 31 31 21 || 31;21 Superdiatonic 1/31-tone || | |||
||= ||= | || || || || || 103\[[234edo|234]] || || || || || 28 28 28 19 28 | ||
28 28 28 19 || 28;19 Superdiatonic 1/28-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> | ||= 4\[[9edo|9]] ||= ||= ||= ||= ||= ||= ||= ||= ||< 1 1 1 1 1 1 1 1 1 ||< ||</pre></div> | ||
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<td style="text-align: center;">16\<a class="wiki_link" href="/37edo">37</a><br /> | |||
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<td style="text-align: center;">13\<a class="wiki_link" href="/30edo">30</a><br /> | |||
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<td style="text-align: center;">23\<a class="wiki_link" href="/53edo">53</a><br /> | |||
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<td style="text-align: center;">113\<a class="wiki_link" href="/200edo">200</a><br /> | |||
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<td style="text-align: left;">26 26 26 9 26 26 26 26 9<br /> | <td style="text-align: left;">26 26 26 9 26 26 26 26 9<br /> | ||
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<td style="text-align: center;">57\<a class="wiki_link" href="/131edo">131</a><br /> | |||
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Thorvald Kornerup and a temperament of the Alexei<br /> | Thorvald Kornerup and a temperament of the Alexei<br /> | ||
Ogolevets's list of temperaments)<br /> | Ogolevets's list of temperaments)<br /> | ||
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<td>47\<a class="wiki_link" href="/108edo">108</a><br /> | |||
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<td>14 14 14 5 14<br /> | |||
14 14 14 5<br /> | |||
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<td>Armodue-Hornbostel 1/14-tone<br /> | |||
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<td>84\<a class="wiki_link" href="/193edo">193</a><br /> | |||
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<td>25 25 25 9 25<br /> | |||
25 25 25 9<br /> | |||
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<td>Armodue-Hornbostel 1/25-tone<br /> | |||
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<td style="text-align: center;">37\<a class="wiki_link" href="/85edo">85</a><br /> | <td style="text-align: center;">37\<a class="wiki_link" href="/85edo">85</a><br /> | ||
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<td style="text-align: center;">27\<a class="wiki_link" href="/62edo">62</a><br /> | <td style="text-align: center;">27\<a class="wiki_link" href="/62edo">62</a><br /> | ||
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<td style="text-align: left;">Armodue-Hornbostel 1/8-tone<br /> | <td style="text-align: left;">Armodue-Hornbostel 1/8-tone<br /> | ||
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<td>71\<a class="wiki_link" href="/163edo">163</a><br /> | |||
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<td>21 21 21 8 21 21 21 21 8<br /> | |||
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<td>21;8 Superdiatonic 1/21-tone<br /> | |||
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<td style="text-align: left;"> | <td style="text-align: left;">13;5 Superdiatonic 1/13-tone<br /> | ||
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<td style="text-align: center;">38\<a class="wiki_link" href="/87edo">87</a><br /> | |||
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<td style="text-align: left;">11 11 11 5 11 11 11 11 5<br /> | <td style="text-align: left;">11 11 11 5 11 11 11 11 5<br /> | ||
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<td>45\<a class="wiki_link" href="/103edo">103</a><br /> | |||
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<td>13 13 13 6 13<br /> | |||
13 13 13 6<br /> | |||
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<td>13;6 Superdiatonic 1/13-tone<br /> | |||
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Armodue, because its highly accuracy of the <a class="wiki_link" href="/7_4">7/4</a><br /> | Armodue, because its highly accuracy of the <a class="wiki_link" href="/7_4">7/4</a><br /> | ||
interval, the note '8')<br /> | interval, the note '8')<br /> | ||
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<td>61\<a class="wiki_link" href="/139edo">139</a><br /> | |||
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<td>17 17 17 10 17<br /> | |||
17 17 17 10<br /> | |||
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<td>Armodue-Mavila 1/17-tone<br /> | |||
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<td style="text-align: center;">47\<a class="wiki_link" href="/107edo">107</a><br /> | |||
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<td style="text-align: center;">86\<a class="wiki_link" href="/173edo">173</a><br /> | |||
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<td style="text-align: center;">29\<a class="wiki_link" href="/66edo">66</a><br /> | <td style="text-align: center;">29\<a class="wiki_link" href="/66edo">66</a><br /> | ||
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<td style="text-align: left;">8;5 Golden Mavila 1/8-tone<br /> | <td style="text-align: left;">8;5 Golden Mavila 1/8-tone<br /> | ||
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<td>40\<a class="wiki_link" href="/91edo">91</a><br /> | |||
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<td>11 11 11 7 11<br /> | |||
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<td>11;7 Superdiatonic 1/11-tone<br /> | |||
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<td>91\<a class="wiki_link" href="/207edo">207</a><br /> | |||
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<td>25 25 25 16 25<br /> | |||
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<td>25;16 Superdiatonic 1/25-tone<br /> | |||
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<td>51\<a class="wiki_link" href="/116edo">116</a><br /> | |||
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<td>14 14 14 9 14<br /> | |||
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<td>14;9 Superdiatonic 1/14-tone<br /> | |||
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<td>62\<a class="wiki_link" href="/141edo">141</a><br /> | |||
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<td>17 17 17 11 17<br /> | |||
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<td>17;11 Superdiatonic 1/17-tone<br /> | |||
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<td>95\<a class="wiki_link" href="/216edo">216</a><br /> | |||
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<td>26 26 26 17 26<br /> | |||
26 26 26 17<br /> | |||
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<td>26;17 Superdiatonic 1/26-tone<br /> | |||
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<td>106\<a class="wiki_link" href="/241edo">241</a><br /> | |||
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<td>29 29 29 19 29<br /> | |||
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<td>29;19 Superdiatonic 1/29-tone<br /> | |||
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<td style="text-align: left;">3;2 Golden Armodue-Mavila 1/3-tone<br /> | <td style="text-align: left;">3;2 Golden Armodue-Mavila 1/3-tone<br /> | ||
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<td>114\<a class="wiki_link" href="/259edo">259</a><br /> | |||
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<td>31 31 31 21 31<br /> | |||
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<td>31;21 Superdiatonic 1/31-tone<br /> | |||
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<td>103\<a class="wiki_link" href="/234edo">234</a><br /> | |||
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<td>28 28 28 19 28<br /> | |||
28 28 28 19<br /> | |||
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<td>28;19 Superdiatonic 1/28-tone<br /> | |||
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<td style="text-align: center;">26\<a class="wiki_link" href="/59edo">59</a><br /> | |||
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<td style="text-align: center;">15\<a class="wiki_link" href="/34edo">34</a><br /> | |||
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<td style="text-align: center;">19\<a class="wiki_link" href="/43edo">43</a><br /> | |||
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Revision as of 18:34, 1 June 2012
IMPORTED REVISION FROM WIKISPACES
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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 ||< || ||= ||= ||= ||= ||= 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) || || || || || || || || 47\[[108edo|108]] || || || 14 14 14 5 14 14 14 14 5 || Armodue-Hornbostel 1/14-tone || || || || || || || || || 84\[[193edo|193]] || || 25 25 25 9 25 25 25 25 9 || Armodue-Hornbostel 1/25-tone || ||= ||= ||= ||= ||= ||= ||= ||= 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 || || || || || || || 71\[[163edo|163]] || || || || 21 21 21 8 21 21 21 21 8 || 21;8 Superdiatonic 1/21-tone || ||= ||= ||= ||= ||= 44\[[101edo|101]] ||= ||= ||= ||= ||< 13 13 13 5 13 13 13 13 5 ||< 13;5 Superdiatonic 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 ||< || || || || || || || || || || 45\[[103edo|103]] || 13 13 13 6 13 13 13 13 6 || 13;6 Superdiatonic 1/13-tone || ||= ||= 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') || || || || || || 61\[[139edo|139]] || || || || || 17 17 17 10 17 17 17 17 10 || Armodue-Mavila 1/17-tone || ||= ||= ||= ||= 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 || || || || || || || || || 40\[[91edo|91]] || || 11 11 11 7 11 11 11 11 7 || 11;7 Superdiatonic 1/11-tone || || || || || || || || || 91\[[207edo|207]] || || 25 25 25 16 25 25 25 25 16 || 25;16 Superdiatonic 1/25-tone || || || || || || || || 51\[[116edo|116]] || || || 14 14 14 9 14 14 14 14 9 || 14;9 Superdiatonic 1/14-tone || || || || || || || 62\[[141edo|141]] || || || || 17 17 17 11 17 17 17 17 11 || 17;11 Superdiatonic 1/17-tone || || || || || || 95\[[216edo|216]] || || || || || 26 26 26 17 26 26 26 26 17 || 26;17 Superdiatonic 1/26-tone || || || || || 106\[[241edo|241]] || || || || || || 29 29 29 19 29 29 29 29 19 || 29;19 Superdiatonic 1/29-tone || ||= ||= ||= 11\[[25edo|25]] ||= ||= ||= ||= ||= ||= ||< 3 3 3 2 3 3 3 3 2 ||< 3;2 Golden Armodue-Mavila 1/3-tone || || || || || 114\[[259edo|259]] || || || || || || 31 31 31 21 31 31 31 31 21 || 31;21 Superdiatonic 1/31-tone || || || || || || 103\[[234edo|234]] || || || || || 28 28 28 19 28 28 28 28 19 || 28;19 Superdiatonic 1/28-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 ||< ||
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<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 "Mavila Superdiatonic".<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 & 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;">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: 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 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;">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: 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 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;">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: 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;">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;">113\<a class="wiki_link" href="/200edo">200</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;">26 26 26 9 26 26 26 26 9<br /> </td> <td style="text-align: left;">HORNBOSTEL (& <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' & '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;">57\<a class="wiki_link" href="/131edo">131</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;">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><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>47\<a class="wiki_link" href="/108edo">108</a><br /> </td> <td><br /> </td> <td><br /> </td> <td>14 14 14 5 14<br /> 14 14 14 5<br /> </td> <td>Armodue-Hornbostel 1/14-tone<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>84\<a class="wiki_link" href="/193edo">193</a><br /> </td> <td><br /> </td> <td>25 25 25 9 25<br /> 25 25 25 9<br /> </td> <td>Armodue-Hornbostel 1/25-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;">37\<a class="wiki_link" href="/85edo">85</a><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;"><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: 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><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>71\<a class="wiki_link" href="/163edo">163</a><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>21 21 21 8 21 21 21 21 8<br /> </td> <td>21;8 Superdiatonic 1/21-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;">13;5 Superdiatonic 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;">38\<a class="wiki_link" href="/87edo">87</a><br /> </td> <td style="text-align: center;"><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><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>45\<a class="wiki_link" href="/103edo">103</a><br /> </td> <td>13 13 13 6 13<br /> 13 13 13 6<br /> </td> <td>13;6 Superdiatonic 1/13-tone<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;">[<strong>BOUNDARY OF PROPRIETY: larger generators are strictly proper</strong>]</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><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>61\<a class="wiki_link" href="/139edo">139</a><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>17 17 17 10 17<br /> 17 17 17 10<br /> </td> <td>Armodue-Mavila 1/17-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;">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;">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: 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;">86\<a class="wiki_link" href="/173edo">173</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;">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;"><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: 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><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>40\<a class="wiki_link" href="/91edo">91</a><br /> </td> <td><br /> </td> <td>11 11 11 7 11<br /> 11 11 11 7<br /> </td> <td>11;7 Superdiatonic 1/11-tone<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>91\<a class="wiki_link" href="/207edo">207</a><br /> </td> <td><br /> </td> <td>25 25 25 16 25<br /> 25 25 25 16<br /> </td> <td>25;16 Superdiatonic 1/25-tone<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>51\<a class="wiki_link" href="/116edo">116</a><br /> </td> <td><br /> </td> <td><br /> </td> <td>14 14 14 9 14<br /> 14 14 14 9<br /> </td> <td>14;9 Superdiatonic 1/14-tone<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>62\<a class="wiki_link" href="/141edo">141</a><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>17 17 17 11 17<br /> 17 17 17 11<br /> </td> <td>17;11 Superdiatonic 1/17-tone<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>95\<a class="wiki_link" href="/216edo">216</a><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>26 26 26 17 26<br /> 26 26 26 17<br /> </td> <td>26;17 Superdiatonic 1/26-tone<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>106\<a class="wiki_link" href="/241edo">241</a><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>29 29 29 19 29<br /> 29 29 29 19<br /> </td> <td>29;19 Superdiatonic 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;">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><br /> </td> <td><br /> </td> <td><br /> </td> <td>114\<a class="wiki_link" href="/259edo">259</a><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>31 31 31 21 31<br /> 31 31 31 21<br /> </td> <td>31;21 Superdiatonic 1/31-tone<br /> </td> </tr> <tr> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>103\<a class="wiki_link" href="/234edo">234</a><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td><br /> </td> <td>28 28 28 19 28<br /> 28 28 28 19<br /> </td> <td>28;19 Superdiatonic 1/28-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;">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: 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;">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: 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;">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: 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 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>