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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | {{Infobox MOS}} |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
| |
| : This revision was by author [[User:Osmiorisbendi|Osmiorisbendi]] and made on <tt>2012-06-01 18:34:11 UTC</tt>.<br>
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| : The original revision id was <tt>341920766</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| 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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| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">This page is about [[MOSScales]] with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).
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|
| |
|
| 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".
| | {{MOS intro}} |
| | Scales of this form are strongly associated with [[Armodue theory]], as applied to septimal mavila and Hornbostel temperaments. [[Trismegistus]] is also a usable temperament. |
| | == Name == |
| | The [[TAMNAMS]] name for this pattern is '''armotonic''', in reference to Armodue theory. '''Superdiatonic''' is also in use. |
|
| |
|
| These scales are strongly associated with the [[Armodue]] project/system.
| | == Scale properties == |
| | {{TAMNAMS use}} |
|
| |
|
| 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.
| | === Intervals === |
| ||~ ||~ ||||||||||||||~ Generator ||~ Scale steps ||~ Comments ||
| | {{MOS intervals}} |
| ||= 3\[[7edo|7]] ||= ||= ||= ||= ||= ||= ||= ||= ||< 1 1 1 0 1 1 1 1 0 ||< ||
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| ||= ||= 16\[[37edo|37]] ||= ||= ||= ||= ||= ||= ||= ||< 5 5 5 1 5 5 5 5 1 ||< ||
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| ||= ||= ||= 13\[[30edo|30]] ||= ||= ||= ||= ||= ||= ||< 4 4 4 1 4 4 4 4 1 ||< ||
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| ||= ||= ||= ||= 23\[[53edo|53]] ||= ||= ||= ||= ||= ||< 7 7 7 2 7 7 7 7 2 ||< ||
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| ||= ||= ||= ||= ||= 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') ||
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| ||= ||= ||= 10\[[23edo|23]] ||= ||= ||= ||= ||= ||= ||< 3 3 3 1 3 3 3 3 1 ||< HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone) ||
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| || || || || 97\[[223edo|223]] || || || || || || 29 29 29 10 29
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| 29 29 29 10 || HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone) ||
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| ||= ||= ||= ||= ||= 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') ||
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| ||= ||= ||= ||= ||= ||= 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
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| Ogolevets's list of temperaments) ||
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| || || || || || || || 47\[[108edo|108]] || || || 14 14 14 5 14
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| 14 14 14 5 || Armodue-Hornbostel 1/14-tone ||
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| || || || || || || || || 84\[[193edo|193]] || || 25 25 25 9 25
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| 25 25 25 9 || Armodue-Hornbostel 1/25-tone ||
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| ||= ||= ||= ||= ||= ||= ||= ||= 37\[[85edo|85]] ||= ||< 11 11 11 4 11
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| 11 11 11 4 ||< Armodue-Hornbostel 1/11-tone (Optimum accuracy of Phi
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| interval, the note '7') ||
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| ||= ||= ||= ||= ||= ||= ||= 27\[[62edo|62]] ||= ||= ||< 8 8 8 3 8 8 8 8 3 ||< Armodue-Hornbostel 1/8-tone ||
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| || || || || || || 71\[[163edo|163]] || || || || 21 21 21 8 21 21 21 21 8 || 21;8 Superdiatonic 1/21-tone ||
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| ||= ||= ||= ||= ||= 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 ||< ||
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| || || || || || || || || || 45\[[103edo|103]] || 13 13 13 6 13
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| 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
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| 13 13 13 7 || Armodue-Mavila 1/13-tone ||
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| ||= ||= ||= ||= ||= ||= ||= ||= 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
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| 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
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| Armodue, because its highly accuracy of the [[7_4|7/4]]
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| interval, the note '8') ||
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| || || || || || 61\[[139edo|139]] || || || || || 17 17 17 10 17
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| 17 17 17 10 || Armodue-Mavila 1/17-tone ||
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| ||= ||= ||= ||= 18\[[41edo|41]] ||= ||= ||= ||= ||= ||< 5 5 5 3 5 5 5 5 3 ||< 5;3 Golden Armodue-Mavila 1/5-tone ||
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| ||= ||= ||= ||= ||= 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
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| 11 11 11 7 || 11;7 Superdiatonic 1/11-tone ||
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| || || || || || || || || 91\[[207edo|207]] || || 25 25 25 16 25
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| 25 25 25 16 || 25;16 Superdiatonic 1/25-tone ||
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| || || || || || || || 51\[[116edo|116]] || || || 14 14 14 9 14
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| 14 14 14 9 || 14;9 Superdiatonic 1/14-tone ||
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| || || || || || || 62\[[141edo|141]] || || || || 17 17 17 11 17
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| 17 17 17 11 || 17;11 Superdiatonic 1/17-tone ||
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| || || || || || 95\[[216edo|216]] || || || || || 26 26 26 17 26
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| 26 26 26 17 || 26;17 Superdiatonic 1/26-tone ||
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| || || || || 106\[[241edo|241]] || || || || || || 29 29 29 19 29
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| 29 29 29 19 || 29;19 Superdiatonic 1/29-tone ||
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| ||= ||= ||= 11\[[25edo|25]] ||= ||= ||= ||= ||= ||= ||< 3 3 3 2 3 3 3 3 2 ||< 3;2 Golden Armodue-Mavila 1/3-tone ||
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| || || || || 114\[[259edo|259]] || || || || || || 31 31 31 21 31
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| 31 31 31 21 || 31;21 Superdiatonic 1/31-tone ||
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| || || || || || 103\[[234edo|234]] || || || || || 28 28 28 19 28
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| 28 28 28 19 || 28;19 Superdiatonic 1/28-tone ||
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| ||= ||= ||= ||= 26\[[59edo|59]] ||= ||= ||= ||= ||= ||< 7 7 7 5 7 7 7 7 5 ||< ||
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| ||= ||= ||= 15\[[34edo|34]] ||= ||= ||= ||= ||= ||= ||< 4 4 4 3 4 4 4 4 3 ||< ||
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| ||= ||= 19\[[43edo|43]] ||= ||= ||= ||= ||= ||= ||= ||< 5 5 5 4 5 5 5 5 4 ||< ||
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| ||= 4\[[9edo|9]] ||= ||= ||= ||= ||= ||= ||= ||= ||< 1 1 1 1 1 1 1 1 1 ||< ||</pre></div>
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| <h4>Original HTML content:</h4>
| |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>7L 2s</title></head><body>This page is about <a class="wiki_link" href="/MOSScales">MOSScales</a> with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).<br />
| |
| <br />
| |
| 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 />
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|
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|
| | === Generator chain === |
| | {{MOS genchain}} |
|
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|
| <table class="wiki_table">
| | === Modes === |
| <tr>
| | {{MOS mode degrees}} |
| <th><br />
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| </th>
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| <th><br />
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| </th>
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| <th colspan="7">Generator<br />
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| </th>
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| <th>Scale steps<br />
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| </th>
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| <th>Comments<br />
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| </th>
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| </tr>
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| <tr>
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| <td style="text-align: center;">3\<a class="wiki_link" href="/7edo">7</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: left;">1 1 1 0 1 1 1 1 0<br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">16\<a class="wiki_link" href="/37edo">37</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: left;">5 5 5 1 5 5 5 5 1<br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">13\<a class="wiki_link" href="/30edo">30</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: left;">4 4 4 1 4 4 4 4 1<br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">23\<a class="wiki_link" href="/53edo">53</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: left;">7 7 7 2 7 7 7 7 2<br />
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| </td>
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| <td style="text-align: left;"><br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">93\<a class="wiki_link" href="/214edo">214</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: left;">28 28 28 9 28 28 28 28 9<br />
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| </td>
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| <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 />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">134\<a class="wiki_link" href="/237edo">237</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: left;">31 31 31 10 31 31 31 31 10<br />
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| </td>
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| <td style="text-align: left;">HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size<br />
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| of Hornbostel '6th')<br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">10\<a class="wiki_link" href="/23edo">23</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: left;">3 3 3 1 3 3 3 3 1<br />
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| </td>
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| <td style="text-align: left;">HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone)<br />
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| </td>
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| </tr>
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| <tr>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>97\<a class="wiki_link" href="/223edo">223</a><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td><br />
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| </td>
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| <td>29 29 29 10 29<br />
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| 29 29 29 10<br />
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| </td>
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| <td>HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone)<br />
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| </td>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">113\<a class="wiki_link" href="/200edo">200</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: left;">26 26 26 9 26 26 26 26 9<br />
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| </td>
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| <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>
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| </tr>
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| <tr>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;">57\<a class="wiki_link" href="/131edo">131</a><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: center;"><br />
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| </td>
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| <td style="text-align: left;">17 17 17 6 17 17 17 17 6<br />
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| </td>
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| <td style="text-align: left;">Armodue-Hornbostel 1/17-tone (the Golden Tone System of<br />
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| Thorvald Kornerup and a temperament of the Alexei<br />
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| 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></pre></div> | | === Proposed mode names === |
| | The Ad- mode names proposed by [[groundfault]] have the feature of matching up the middle 7 modes with the antidiatonic mode names in the generator arc. |
| | {{MOS modes |
| | | Table Headers= |
| | Super- Mode Names $ |
| | Ad- Mode Names (ground) $ |
| | | Table Entries= |
| | Superlydian $ |
| | TBD $ |
| | Superionian $ |
| | Adlocrian $ |
| | Supermixolydian $ |
| | Adphrygian $ |
| | Supercorinthian $ |
| | Adaeolian $ |
| | Superolympian $ |
| | Addorian $ |
| | Superdorian $ |
| | Admixolydian $ |
| | Superaeolian $ |
| | Adionian $ |
| | Superphrygian $ |
| | Adlydian $ |
| | Superlocrian $ |
| | TBD |
| | }} |
| | |
| | == Note names== |
| | 7L 2s, when viewed under Armodue theory, can be notated using Armodue notation. |
| | |
| | == Theory == |
| | === Temperament interpretations === |
| | [[Pelogic family#Mavila|Mavila]] is an important harmonic entropy minimum here, insofar as 670-680{{c}} can be considered a fifth. Other temperaments include septimal mavila, hornbostel, and trismegistus. |
| | |
| | == Scale tree == |
| | {{MOS tuning spectrum |
| | | 1/1 = Near exact-7/6 [[Pelogic_family#Armodue|Armodue]] |
| | | 5/4 = Near exact-16/15 [[Amavil]] |
| | | 4/3 = Near exact-20/17 [[Pentagoth]] |
| | | 7/5 = Near exact-5/4 [[Mavila]] |
| | | 3/2 = Near exact-13/11 Pentagoth |
| | | 7/4 = Near exact-7/4 [[Pelogic_family#Armodue|Armodue]] |
| | | 10/3 = Near exact-6/5 [[Mavila]] |
| | | 6/1 = [[Gravity]] ↓ |
| | }} |
| | |
| | [[Category:9-tone scales]] |
| | [[Category:Mavila]] |