7L 2s: Difference between revisions
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: center;"><br /> | <td style="text-align: center;"><br /> | ||
Line 762: | Line 886: | ||
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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 /> | |||
11 11 11 7<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 /> | |||
25 25 25 16<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 /> | |||
14 14 14 9<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 /> | |||
17 17 17 11<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 /> | |||
29 29 29 19<br /> | |||
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<td>29;19 Superdiatonic 1/29-tone<br /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
Line 786: | Line 1,060: | ||
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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 /> | |||
31 31 31 21<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 /> | |||
</td> | </td> | ||
</tr> | </tr> | ||
Line 794: | Line 1,118: | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td style="text-align: center;">26\<a class="wiki_link" href="/59edo">59</a><br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
Line 816: | Line 1,140: | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td style="text-align: center;">15\<a class="wiki_link" href="/34edo">34</a><br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
Line 838: | Line 1,162: | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td style="text-align: center;">19\<a class="wiki_link" href="/43edo">43</a><br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
Line 846: | Line 1,172: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
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<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> |