7L 2s
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Original Wikitext content:
This page is about [[MOSScales]] with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL). If you're looking for highly accurate scales (that is, ones that approximate JI closely), there are much better scale patterns to look at. However, if your harmonic entropy is coarse enough (that is, if 522 cents is an acceptable '4/3' to you), then [[Pelogic family|mavila]] is an important harmonic entropy minimum here. So a general name for this MOS pattern could be "Mavila Superdiatonic". These scales are strongly associated with the [[Armodue]] project/system. Optional types of 'JI Blown Fifths' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 133/90, 145/98, 176/119 & 250/169. ||~ ||~ ||||||||||||||~ Generator ||~ Generator size (cents) ||~ Scale steps ||~ Comments || ||= 3\[[7edo|7]] ||= ||= ||= ||= ||= ||= ||= ||= || 514.286 ||< 1 1 1 0 1 1 1 1 0 ||< || ||= ||= 16\[[37edo|37]] ||= ||= ||= ||= ||= ||= ||= || 518.919 ||< 5 5 5 1 5 5 5 5 1 ||< || ||= ||= ||= 13\[[30edo|30]] ||= ||= ||= ||= ||= ||= || 520 ||< 4 4 4 1 4 4 4 4 1 ||< || ||= ||= ||= ||= 23\[[53edo|53]] ||= ||= ||= ||= ||= || 520.755 ||< 7 7 7 2 7 7 7 7 2 ||< || ||= ||= ||= ||= ||= 93\[[214edo|214]] ||= ||= ||= ||= || 521.495 ||< 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) || ||= ||= ||= ||= 103\[[237edo|237]] ||= ||= ||= ||= ||= || 521.519 ||< 31 31 31 10 31 31 31 31 10 ||< HORNBOSTEL TEMPERAMENT (1/31-tone; Optimum high size of Hornbostel '6th') || ||= ||= ||= 10\[[23edo|23]] ||= ||= ||= ||= ||= ||= || 521.739 ||< 3 3 3 1 3 3 3 3 1 ||< HORNBOSTEL TEMPERAMENT (Armodue 1/3-tone) || || || || || 97\[[223edo|223]] || || || || || || 521.973 || 29 29 29 10 29 29 29 29 10 || HORNBOSTEL TEMPERAMENT (Armodue 1/29-tone) || ||= ||= ||= ||= ||= 87\[[200edo|200]] ||= ||= ||= ||= || 522 ||< 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]] ||= ||= ||= || 522.137 ||< 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]] || || || 522.222 || 14 14 14 5 14 14 14 14 5 || Armodue-Hornbostel 1/14-tone || || || || || || || || || 84\[[193edo|193]] || || 522.280 || 25 25 25 9 25 25 25 25 9 || Armodue-Hornbostel 1/25-tone || ||= ||= ||= ||= ||= ||= ||= ||= 37\[[85edo|85]] ||= || 522.353 ||< 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]] ||= ||= || 522.581 ||< 8 8 8 3 8 8 8 8 3 ||< Armodue-Hornbostel 1/8-tone || || || || || || || 71\[[163edo|163]] || || || || 522.699 || 21 21 21 8 21 21 21 21 8 || 21;8 Superdiatonic 1/21-tone || ||= ||= ||= ||= ||= 44\[[101edo|101]] ||= ||= ||= ||= || 522.772 ||< 13 13 13 5 13 13 13 13 5 ||< 13;5 Superdiatonic 1/13-tone || ||= ||= ||= ||= 17\[[39edo|39]] ||= ||= ||= ||= ||= || 523.077 ||< 5 5 5 2 5 5 5 5 2 ||< Armodue-Hornbostel 1/5-tone (Optimum low size of Hornbostel '6th') || ||= ||= ||= ||= ||= 58\[[133edo|133]] ||= ||= ||= ||= || 523.308 ||< 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]] ||= ||= ||= || 523.636 ||< 7 7 7 3 7 7 7 7 3 ||< 7;3 Superdiatonic 1/7-tone || ||= ||= ||= ||= ||= ||= ||= 31\[[71edo|71]] ||= ||= || 523.944 ||< 9 9 9 4 9 9 9 9 4 ||< 9;4 Superdiatonic 1/9-tone || ||= ||= ||= ||= ||= ||= ||= ||= 38\[[87edo|87]] ||= || 524.138 ||< 11 11 11 5 11 11 11 11 5 ||< || || || || || || || || || || 45\[[103edo|103]] || 524.272 || 13 13 13 6 13 13 13 13 6 || 13;6 Superdiatonic 1/13-tone || ||= ||= 7\[[16edo|16]] ||= ||= ||= ||= ||= ||= ||= || 525 ||< 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]] || 525.714 || 13 13 13 7 13 13 13 13 7 || Armodue-Mavila 1/13-tone || ||= ||= ||= ||= ||= ||= ||= ||= 39\[[89edo|89]] ||= || 525.843 ||< 11 11 11 6 11 11 11 11 6 ||< Armodue-Mavila 1/11-tone || ||= ||= ||= ||= ||= ||= ||= 32\[[73edo|73]] ||= ||= || 526.027 ||< 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]] ||= ||= ||= || 526.316 ||< 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]] || || || || || 526.619 || 17 17 17 10 17 17 17 17 10 || Armodue-Mavila 1/17-tone || ||= ||= ||= ||= 18\[[41edo|41]] ||= ||= ||= ||= ||= || 526.829 ||< 5 5 5 3 5 5 5 5 3 ||< 5;3 Golden Armodue-Mavila 1/5-tone || ||= ||= ||= ||= ||= 47\[[107edo|107]] ||= ||= ||= ||= || 527.102 ||< 13 13 13 8 13 13 13 13 8 ||< 13;8 Golden Mavila 1/13-tone || || || || || || || || || || || 527.150 || <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ </span><span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ φ 1 </span><span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ φ φ </span><span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ 1</span> || GOLDEN MAVILA (L/s = <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ)</span> || ||= ||= ||= ||= ||= ||= 76\[[173edo|173]] ||= ||= ||= || 527.168 ||< 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]] ||= ||= || 527.273 ||< 8 8 8 5 8 8 8 8 5 ||< 8;5 Golden Mavila 1/8-tone || || || || || || || || || 40\[[91edo|91]] || || 527.473 || 11 11 11 7 11 11 11 11 7 || 11;7 Superdiatonic 1/11-tone || || || || || || || || || 91\[[207edo|207]] || || 527.536 || 25 25 25 16 25 25 25 25 16 || 25;16 Superdiatonic 1/25-tone || || || || || || || || 51\[[116edo|116]] || || || 527.586 || 14 14 14 9 14 14 14 14 9 || 14;9 Superdiatonic 1/14-tone || || || || || || || 62\[[141edo|141]] || || || || 527.660 || 17 17 17 11 17 17 17 17 11 || 17;11 Superdiatonic 1/17-tone || || || || || || 95\[[216edo|216]] || || || || || 527.778 || 26 26 26 17 26 26 26 26 17 || 26;17 Superdiatonic 1/26-tone || || || || || 106\[[241edo|241]] || || || || || || 527.801 || 29 29 29 19 29 29 29 29 19 || 29;19 Superdiatonic 1/29-tone || ||= ||= ||= 11\[[25edo|25]] ||= ||= ||= ||= ||= ||= || 528 ||< 3 3 3 2 3 3 3 3 2 ||< 3;2 Golden Armodue-Mavila 1/3-tone || || || || || 114\[[259edo|259]] || || || || || || 528.185 || 31 31 31 21 31 31 31 31 21 || 31;21 Superdiatonic 1/31-tone || || || || || || 103\[[234edo|234]] || || || || || 528.205 || 28 28 28 19 28 28 28 28 19 || 28;19 Superdiatonic 1/28-tone || ||= ||= ||= ||= 26\[[59edo|59]] ||= ||= ||= ||= ||= || 528.814 ||< 7 7 7 5 7 7 7 7 5 ||< || ||= ||= ||= 15\[[34edo|34]] ||= ||= ||= ||= ||= ||= || 529.412 ||< 4 4 4 3 4 4 4 4 3 ||< || ||= ||= 19\[[43edo|43]] ||= ||= ||= ||= ||= ||= ||= || 530.233 ||< 5 5 5 4 5 5 5 5 4 ||< || ||= 4\[[9edo|9]] ||= ||= ||= ||= ||= ||= ||= ||= || 533.333 ||< 1 1 1 1 1 1 1 1 1 ||< ||
Original HTML content:
<html><head><title>7L 2s</title></head><body>This page is about <a class="wiki_link" href="/MOSScales">MOSScales</a> with 7 large steps and 2 small steps arranged LLLsLLLLs (or any rotation of that, such as LLsLLLsLL).<br />
<br />
If you're looking for highly accurate scales (that is, ones that approximate JI closely), there are much better scale patterns to look at. However, if your harmonic entropy is coarse enough (that is, if 522 cents is an acceptable '4/3' to you), then <a class="wiki_link" href="/Pelogic%20family">mavila</a> is an important harmonic entropy minimum here. So a general name for this MOS pattern could be "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>Generator size (cents)<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>514.286<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>518.919<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>520<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>520.755<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>521.495<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;">103\<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>521.519<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>521.739<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>521.973<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;">87\<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>522<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>522.137<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>522.222<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>522.280<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>522.353<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>522.581<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>522.699<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>522.772<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>523.077<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>523.308<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>523.636<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>523.944<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>524.138<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>524.272<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>525<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>525.714<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>525.843<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>526.027<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>526.316<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>526.619<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>526.829<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>527.102<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><br />
</td>
<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>527.150<br />
</td>
<td><span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ </span><span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ φ 1 </span><span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ φ φ </span><span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ 1</span><br />
</td>
<td>GOLDEN MAVILA (L/s = <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ)</span><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;">76\<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>527.168<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>527.273<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>527.473<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>527.536<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>527.586<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>527.660<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>527.778<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>527.801<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>528<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>528.185<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>528.205<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>528.814<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>529.412<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>530.233<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>533.333<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>