7L 2s: Difference between revisions

Revision as of 16:02, 23 May 2015

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This page is about of a [[MOSScales|MOSScale]] 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 678 cents is an acceptable '3/2' to you), then [[Pelogic family|mávila]] is an important harmonic entropy minimum here. So a general name for this MOS pattern could be "Mávila Superdiatonic" or simply 'Superdiatonic'.
These scales are strongly associated with the [[Armodue]] project/system applied too on Septimal-mávila and Hornbostel temperaments.

Optional types of 'JI [[Blown Fifth]]' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 133/90, 145/98, 176/119 & 250/169.
||||||~ Generator ||~ <span style="display: block; text-align: center;">**Generator size (cents)**</span> ||~ Pentachord steps ||~ Comments ||
||< 4\[[7edo|7]] ||<   ||<   ||< 685.714 ||< 1 1 1 0 ||<   ||
||< 21\37 ||<   ||<   ||< 681.081 ||< 5 5 5 1 ||<   ||
||< 17\30 ||<   ||<   ||< 680 ||< 4 4 4 1 ||< L/s = 4 ||
||<   ||< 30\53 ||<   ||< 679.245 ||< 7 7 7 2 ||<   ||
||   || 43\76 ||   || 678.947 || 10 10 10 3 ||   ||
||   || 56\99 ||   || 678.788 || 13 13 13 4 ||   ||
||   || 69\122 ||   || 678.6885 || 16 16 16 5 ||   ||
||   || 82\145 ||   || 678.621 || 19 19 19 6 ||   ||
||   || 95\168 ||   || 678.571 || 22 22 22 7 ||   ||
||   ||   ||   || 678.569 || π π π 1 || L/s = π ||
||<   ||< 108\191 ||<   ||< 678.534 ||< 25 25 25 8 ||<   ||
||<   ||< 121\214 ||<   ||< 678.505 ||< 28 28 28 9 ||< 28;9 Superdiatonic 1/28-tone <span style="font-size: 12.8000001907349px;">(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)</span> ||
||   || 134\237 ||   || 678.481 || 31 31 31 10 || HORNBOSTEL TEMPERAMENT <span style="font-size: 12.8000001907349px;">(1/31-tone; Optimum high size of Hornbostel '6th')</span> ||
||< 13\23 ||<   ||<   ||< 678.261 ||< 3 3 3 1 ||< HORNBOSTEL TEMPERAMENT <span style="font-size: 12.8000001907349px;">(Armodue 1/3-tone)</span> ||
||   || 126\223 ||   || 678.027 || 29 29 29 10 || HORNBOSTEL TEMPERAMENT
<span style="font-size: 12.8000001907349px;">(Armodue 1/29-tone)</span> ||
||<   ||< 113\200 ||<   ||< 678 ||< 26 26 26 9 ||< HORNBOSTEL (& [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT <span style="font-size: 12.8000001907349px;">(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')</span> ||
||<   ||< 100\177 ||<   ||< 677.966 ||< 23 23 23 8 ||<   ||
||<   ||< 87\154 ||<   ||< 677.922 ||< 20 20 20 7 ||<   ||
||<   ||< 74\131 ||<   ||< 677.863 ||< 17 17 17 6 ||< Armodue-Hornbostel 1/17-tone <span style="font-size: 12.8000001907349px;">(the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments)</span> ||
||<   ||< 61\108 ||<   ||< 677.778 ||< 14 14 14 5 ||< Armodue-Hornbostel 1/14-tone ||
||<   ||< 109\193 ||<   ||< 677.720 ||< 25 25 25 9 ||< Armodue-Hornbostel 1/25-tone ||
||<   ||< 48\85 ||<   ||< 677.647 ||< 11 11 11 4 ||< Armodue-Hornbostel 1/11-tone <span style="font-size: 12.8000001907349px;">(Optimum accuracy of Phi interval, the note '7')</span> ||
||<   ||<   ||<   ||< 677.562 ||< e e e 1 ||< L/s = e ||
||<   ||< 35\62 ||<   ||< 677.419 ||< 8 8 8 3 ||< Armodue-Hornbostel 1/8-tone ||
||<   ||< 92\163 ||<   ||< 677.301 ||< 21 21 21 8 ||< 21;8 Superdiatonic 1/21-tone ||
||<   ||<   ||<   ||< 677.2804 ||< <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ+1 φ+1 φ+1 1</span> ||< Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..) ||
||<   ||< 57\101 ||<   ||< 677.228 ||< 13 13 13 5 ||< 13;5 Superdiatonic 1/13-tone ||
||< 22\39 ||<   ||<   ||< 676.923 ||< 5 5 5 2 ||< Armodue-Hornbostel 1/5-tone <span style="font-size: 12.8000001907349px;">(Optimum low size of Hornbostel '6th')</span> ||
||<   ||< 75\133 ||<   ||< 676.692 ||< 17 17 17 7 ||< 17;7 Superdiatonic 1/17-tone <span style="font-size: 12.8000001907349px;">(Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents)</span> ||
||<   ||< 53\94 ||<   ||< 676.596 ||< 12 12 12 5 ||<   ||
||<   ||< 31\55 ||<   ||< 676.364 ||< 7 7 7 3 ||< 7;3 Superdiatonic 1/7-tone ||
||<   ||< 40\71 ||<   ||< 676.056 ||< 9 9 9 4 ||< 9;4 Superdiatonic 1/9-tone ||
||<   ||< 49\87 ||<   ||< 675.862 ||< 11 11 11 5 ||< 11;5 Superdiatonic 1/11-tone ||
||<   ||< 58\103 ||<   ||< 675.728 ||< 13 13 13 6 ||< 13;6 Superdiatonic 1/13-tone ||
||< 9\16 ||<   ||<   ||< 675 ||< 2 2 2 1 ||< <span style="display: block; text-align: left;">**[BOUNDARY OF PROPRIETY: smaller generators are strictly proper]**</span>ARMODUE ESADECAFONIA (or Goldsmith Temperament) ||
||<   ||< 59\105 ||<   ||< 674.286 ||< 13 13 13 7 ||< Armodue-Mávila 1/13-tone ||
||<   ||< 50\89 ||<   ||< 674.157 ||< 11 11 11 6 ||< Armodue-Mávila 1/11-tone ||
||<   ||< 41\73 ||<   ||< 673.973 ||< 9 9 9 5 ||< Armodue-Mávila 1/9-tone <span style="font-size: 12.8000001907349px;">(with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)</span> ||
||<   ||< 32\57 ||<   ||< 673.684 ||< 7 7 7 4 ||< Armodue-Mávila 1/7-tone <span style="font-size: 12.8000001907349px;">(the 'Commatic' version of Armodue, because its high accuracy of the [[xenharmonic/7_4|7/4]] interval, the note '8')</span> ||
||<   ||< 55\98 ||<   ||< 673.469 ||< 12 12 12 7 ||<   ||
||<   ||< 78\139 ||<   ||< 673.381 ||< 17 17 17 10 ||< Armodue-Mávila 1/17-tone ||
||<   ||< 101\180 ||<   ||< 673.333 ||< 22 22 22 13 ||<   ||
||< 23\41 ||<   ||<   ||< 673.171 ||< 5 5 5 3 ||< 5;3 Golden Armodue-Mávila 1/5-tone ||
||<   ||< 60\107 ||<   ||< 672.897 ||< 13 13 13 8 ||< 13;8 Golden Mávila 1/13-tone ||
||<   ||<   ||<   ||< 672.8503 ||< <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ φ φ 1</span> ||< GOLDEN MÁVILA (L/s = <span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ)</span> ||
||<   ||<   ||< 97\173 ||< 672.832 ||< 21 21 21 13 ||< 21;13 Golden Mávila 1/21-tone <span style="font-size: 12.8000001907349px;">(Phi is the step 120\173)</span> ||
||<   ||< 37\66 ||<   ||< 672.727 ||< 8 8 8 5 ||< 8;5 Golden Mávila 1/8-tone ||
||<   ||< 51\91 ||<   ||< 672.527 ||< 11 11 11 7 ||< 11;7 Superdiatonic 1/11-tone ||
||<   ||<   ||< 116\207 ||< 672.464 ||< 25 25 25 16 ||< 25;16 Superdiatonic 1/25-tone ||
||<   ||< 65\116 ||<   ||< 672.414 ||< 14 14 14 9 ||< 14;9 Superdiatonic 1/14-tone ||
||<   ||< 79\141 ||<   ||< 672.340 ||< 17 17 17 11 ||< 17;11 Superdiatonic 1/17-tone ||
||<   ||< 93\166 ||<   ||< 672.289 ||< 20 20 20 13 ||<   ||
||<   ||< 107\191 ||<   ||< 672.251 ||< 23 23 23 15 ||<   ||
||<   ||< 121\216 ||<   ||< 672.222 ||< 26 26 26 17 ||< 26;17 Superdiatonic 1/26-tone ||
||<   ||< 135\241 ||<   ||< 672.199 ||< 29 29 29 19 ||< 29;19 Superdiatonic 1/29-tone ||
||< 14\25 ||<   ||<   ||< 672 ||< 3 3 3 2 ||< 3;2 Golden Armodue-Mávila 1/3-tone ||
||<   ||< 145\259 ||<   ||< 671.815 ||< 31 31 31 21 ||< 31;21 Superdiatonic 1/31-tone ||
||<   ||< 131\234 ||<   ||< 671.795 ||< 28 28 28 19 ||< 28;19 Superdiatonic 1/28-tone ||
||<   ||< 117\209 ||<   ||< 671.770 ||< 25 25 25 17 ||<   ||
||<   ||< 103\184 ||<   ||< 671.739 ||< 22 22 22 15 ||<   ||
||<   ||< 89\159 ||<   ||< 671.698 ||< 19 19 19 13 ||<   ||
||<   ||< 75\134 ||<   ||< 671.642 ||< 16 16 16 11 ||<   ||
||<   ||< 61\109 ||<   ||< 671.560 ||< 13 13 13 9 ||<   ||
||< 47\84 ||<   ||<   ||< 671.429 ||< 10 10 10 7 ||<   ||
||< 33\59 ||<   ||<   ||< 671.186 ||< 7 7 7 5 ||<   ||
||< 19\34 ||<   ||<   ||< 670.588 ||< 4 4 4 3 ||<   ||
||< 24\43 ||<   ||<   ||< 669.767 ||< 5 5 5 4 ||<   ||
||< 5\[[9edo|9]] ||<   ||<   ||< 666.667 ||< 1 1 1 1 ||<   ||

Original HTML content:

<html><head><title>7L 2s</title></head><body>This page is about of a <a class="wiki_link" href="/MOSScales">MOSScale</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 678 cents is an acceptable '3/2' to you), then <a class="wiki_link" href="/Pelogic%20family">mávila</a> is an important harmonic entropy minimum here. So a general name for this MOS pattern could be &quot;Mávila Superdiatonic&quot; or simply 'Superdiatonic'.<br />
These scales are strongly associated with the <a class="wiki_link" href="/Armodue">Armodue</a> project/system applied too on Septimal-mávila and Hornbostel temperaments.<br />
<br />
Optional types of 'JI <a class="wiki_link" href="/Blown%20Fifth">Blown Fifth</a>' Generators: 31/21, 34/23, 65/44, 71/48, 99/67, 105/71, 108/73, 133/90, 145/98, 176/119 &amp; 250/169.<br />


<table class="wiki_table">
    <tr>
        <th colspan="3">Generator<br />
</th>
        <th><span style="display: block; text-align: center;"><strong>Generator size (cents)</strong></span><br />
</th>
        <th>Pentachord steps<br />
</th>
        <th>Comments<br />
</th>
    </tr>
    <tr>
        <td style="text-align: left;">4\<a class="wiki_link" href="/7edo">7</a><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">685.714<br />
</td>
        <td style="text-align: left;">1 1 1 0<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">21\37<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">681.081<br />
</td>
        <td style="text-align: left;">5 5 5 1<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">17\30<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">680<br />
</td>
        <td style="text-align: left;">4 4 4 1<br />
</td>
        <td style="text-align: left;">L/s = 4<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">30\53<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">679.245<br />
</td>
        <td style="text-align: left;">7 7 7 2<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>43\76<br />
</td>
        <td><br />
</td>
        <td>678.947<br />
</td>
        <td>10 10 10 3<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>56\99<br />
</td>
        <td><br />
</td>
        <td>678.788<br />
</td>
        <td>13 13 13 4<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>69\122<br />
</td>
        <td><br />
</td>
        <td>678.6885<br />
</td>
        <td>16 16 16 5<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>82\145<br />
</td>
        <td><br />
</td>
        <td>678.621<br />
</td>
        <td>19 19 19 6<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>95\168<br />
</td>
        <td><br />
</td>
        <td>678.571<br />
</td>
        <td>22 22 22 7<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>678.569<br />
</td>
        <td>π π π 1<br />
</td>
        <td>L/s = π<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">108\191<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">678.534<br />
</td>
        <td style="text-align: left;">25 25 25 8<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">121\214<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">678.505<br />
</td>
        <td style="text-align: left;">28 28 28 9<br />
</td>
        <td style="text-align: left;">28;9 Superdiatonic 1/28-tone <span style="font-size: 12.8000001907349px;">(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>134\237<br />
</td>
        <td><br />
</td>
        <td>678.481<br />
</td>
        <td>31 31 31 10<br />
</td>
        <td>HORNBOSTEL TEMPERAMENT <span style="font-size: 12.8000001907349px;">(1/31-tone; Optimum high size of Hornbostel '6th')</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">13\23<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">678.261<br />
</td>
        <td style="text-align: left;">3 3 3 1<br />
</td>
        <td style="text-align: left;">HORNBOSTEL TEMPERAMENT <span style="font-size: 12.8000001907349px;">(Armodue 1/3-tone)</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>126\223<br />
</td>
        <td><br />
</td>
        <td>678.027<br />
</td>
        <td>29 29 29 10<br />
</td>
        <td>HORNBOSTEL TEMPERAMENT<br />
<span style="font-size: 12.8000001907349px;">(Armodue 1/29-tone)</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">113\200<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">678<br />
</td>
        <td style="text-align: left;">26 26 26 9<br />
</td>
        <td style="text-align: left;">HORNBOSTEL (&amp; <a class="wiki_link" href="/Alexei%20Stepanovich%20Ogolevets">OGOLEVETS</a>) TEMPERAMENT <span style="font-size: 12.8000001907349px;">(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')</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">100\177<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">677.966<br />
</td>
        <td style="text-align: left;">23 23 23 8<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">87\154<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">677.922<br />
</td>
        <td style="text-align: left;">20 20 20 7<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">74\131<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">677.863<br />
</td>
        <td style="text-align: left;">17 17 17 6<br />
</td>
        <td style="text-align: left;">Armodue-Hornbostel 1/17-tone <span style="font-size: 12.8000001907349px;">(the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments)</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">61\108<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">677.778<br />
</td>
        <td style="text-align: left;">14 14 14 5<br />
</td>
        <td style="text-align: left;">Armodue-Hornbostel 1/14-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">109\193<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">677.720<br />
</td>
        <td style="text-align: left;">25 25 25 9<br />
</td>
        <td style="text-align: left;">Armodue-Hornbostel 1/25-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">48\85<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">677.647<br />
</td>
        <td style="text-align: left;">11 11 11 4<br />
</td>
        <td style="text-align: left;">Armodue-Hornbostel 1/11-tone <span style="font-size: 12.8000001907349px;">(Optimum accuracy of Phi interval, the note '7')</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">677.562<br />
</td>
        <td style="text-align: left;">e e e 1<br />
</td>
        <td style="text-align: left;">L/s = e<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">35\62<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">677.419<br />
</td>
        <td style="text-align: left;">8 8 8 3<br />
</td>
        <td style="text-align: left;">Armodue-Hornbostel 1/8-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">92\163<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">677.301<br />
</td>
        <td style="text-align: left;">21 21 21 8<br />
</td>
        <td style="text-align: left;">21;8 Superdiatonic 1/21-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">677.2804<br />
</td>
        <td style="text-align: left;"><span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ+1 φ+1 φ+1 1</span><br />
</td>
        <td style="text-align: left;">Split φ superdiatonic relation (34;13 - 55;21 - 89;34 - 144;55 - 233;89 - 377;144 - 610;233..)<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">57\101<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">677.228<br />
</td>
        <td style="text-align: left;">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: left;">22\39<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">676.923<br />
</td>
        <td style="text-align: left;">5 5 5 2<br />
</td>
        <td style="text-align: left;">Armodue-Hornbostel 1/5-tone <span style="font-size: 12.8000001907349px;">(Optimum low size of Hornbostel '6th')</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">75\133<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">676.692<br />
</td>
        <td style="text-align: left;">17 17 17 7<br />
</td>
        <td style="text-align: left;">17;7 Superdiatonic 1/17-tone <span style="font-size: 12.8000001907349px;">(Note the very accuracy of the step 75 with the ratio 34/23 with an error of +0.011 Cents)</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">53\94<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">676.596<br />
</td>
        <td style="text-align: left;">12 12 12 5<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">31\55<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">676.364<br />
</td>
        <td style="text-align: left;">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: left;"><br />
</td>
        <td style="text-align: left;">40\71<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">676.056<br />
</td>
        <td style="text-align: left;">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: left;"><br />
</td>
        <td style="text-align: left;">49\87<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">675.862<br />
</td>
        <td style="text-align: left;">11 11 11 5<br />
</td>
        <td style="text-align: left;">11;5 Superdiatonic 1/11-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">58\103<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">675.728<br />
</td>
        <td style="text-align: left;">13 13 13 6<br />
</td>
        <td style="text-align: left;">13;6 Superdiatonic 1/13-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">9\16<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">675<br />
</td>
        <td style="text-align: left;">2 2 2 1<br />
</td>
        <td style="text-align: left;"><span style="display: block; text-align: left;"><strong>[BOUNDARY OF PROPRIETY: smaller generators are strictly proper]</strong></span>ARMODUE ESADECAFONIA (or Goldsmith Temperament)<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">59\105<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">674.286<br />
</td>
        <td style="text-align: left;">13 13 13 7<br />
</td>
        <td style="text-align: left;">Armodue-Mávila 1/13-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">50\89<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">674.157<br />
</td>
        <td style="text-align: left;">11 11 11 6<br />
</td>
        <td style="text-align: left;">Armodue-Mávila 1/11-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">41\73<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">673.973<br />
</td>
        <td style="text-align: left;">9 9 9 5<br />
</td>
        <td style="text-align: left;">Armodue-Mávila 1/9-tone <span style="font-size: 12.8000001907349px;">(with an approximation of the Perfect Fifth + 1/5 Pyth.Comma [706.65 Cents]: 43\73 is 706.85 Cents)</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">32\57<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">673.684<br />
</td>
        <td style="text-align: left;">7 7 7 4<br />
</td>
        <td style="text-align: left;">Armodue-Mávila 1/7-tone <span style="font-size: 12.8000001907349px;">(the 'Commatic' version of Armodue, because its high accuracy of the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/7_4">7/4</a> interval, the note '8')</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">55\98<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">673.469<br />
</td>
        <td style="text-align: left;">12 12 12 7<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">78\139<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">673.381<br />
</td>
        <td style="text-align: left;">17 17 17 10<br />
</td>
        <td style="text-align: left;">Armodue-Mávila 1/17-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">101\180<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">673.333<br />
</td>
        <td style="text-align: left;">22 22 22 13<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">23\41<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">673.171<br />
</td>
        <td style="text-align: left;">5 5 5 3<br />
</td>
        <td style="text-align: left;">5;3 Golden Armodue-Mávila 1/5-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">60\107<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">672.897<br />
</td>
        <td style="text-align: left;">13 13 13 8<br />
</td>
        <td style="text-align: left;">13;8 Golden Mávila 1/13-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">672.8503<br />
</td>
        <td style="text-align: left;"><span style="background-color: #ffffff; color: #222222; font-family: arial,sans-serif; font-size: small;">φ φ φ 1</span><br />
</td>
        <td style="text-align: left;">GOLDEN MÁVILA (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: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">97\173<br />
</td>
        <td style="text-align: left;">672.832<br />
</td>
        <td style="text-align: left;">21 21 21 13<br />
</td>
        <td style="text-align: left;">21;13 Golden Mávila 1/21-tone <span style="font-size: 12.8000001907349px;">(Phi is the step 120\173)</span><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">37\66<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">672.727<br />
</td>
        <td style="text-align: left;">8 8 8 5<br />
</td>
        <td style="text-align: left;">8;5 Golden Mávila 1/8-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">51\91<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">672.527<br />
</td>
        <td style="text-align: left;">11 11 11 7<br />
</td>
        <td style="text-align: left;">11;7 Superdiatonic 1/11-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">116\207<br />
</td>
        <td style="text-align: left;">672.464<br />
</td>
        <td style="text-align: left;">25 25 25 16<br />
</td>
        <td style="text-align: left;">25;16 Superdiatonic 1/25-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">65\116<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">672.414<br />
</td>
        <td style="text-align: left;">14 14 14 9<br />
</td>
        <td style="text-align: left;">14;9 Superdiatonic 1/14-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">79\141<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">672.340<br />
</td>
        <td style="text-align: left;">17 17 17 11<br />
</td>
        <td style="text-align: left;">17;11 Superdiatonic 1/17-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">93\166<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">672.289<br />
</td>
        <td style="text-align: left;">20 20 20 13<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">107\191<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">672.251<br />
</td>
        <td style="text-align: left;">23 23 23 15<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">121\216<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">672.222<br />
</td>
        <td style="text-align: left;">26 26 26 17<br />
</td>
        <td style="text-align: left;">26;17 Superdiatonic 1/26-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">135\241<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">672.199<br />
</td>
        <td style="text-align: left;">29 29 29 19<br />
</td>
        <td style="text-align: left;">29;19 Superdiatonic 1/29-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">14\25<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">672<br />
</td>
        <td style="text-align: left;">3 3 3 2<br />
</td>
        <td style="text-align: left;">3;2 Golden Armodue-Mávila 1/3-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">145\259<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">671.815<br />
</td>
        <td style="text-align: left;">31 31 31 21<br />
</td>
        <td style="text-align: left;">31;21 Superdiatonic 1/31-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">131\234<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">671.795<br />
</td>
        <td style="text-align: left;">28 28 28 19<br />
</td>
        <td style="text-align: left;">28;19 Superdiatonic 1/28-tone<br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">117\209<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">671.770<br />
</td>
        <td style="text-align: left;">25 25 25 17<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">103\184<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">671.739<br />
</td>
        <td style="text-align: left;">22 22 22 15<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">89\159<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">671.698<br />
</td>
        <td style="text-align: left;">19 19 19 13<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">75\134<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">671.642<br />
</td>
        <td style="text-align: left;">16 16 16 11<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">61\109<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">671.560<br />
</td>
        <td style="text-align: left;">13 13 13 9<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">47\84<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">671.429<br />
</td>
        <td style="text-align: left;">10 10 10 7<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">33\59<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">671.186<br />
</td>
        <td style="text-align: left;">7 7 7 5<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">19\34<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">670.588<br />
</td>
        <td style="text-align: left;">4 4 4 3<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">24\43<br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">669.767<br />
</td>
        <td style="text-align: left;">5 5 5 4<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
    <tr>
        <td style="text-align: left;">5\<a class="wiki_link" href="/9edo">9</a><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;"><br />
</td>
        <td style="text-align: left;">666.667<br />
</td>
        <td style="text-align: left;">1 1 1 1<br />
</td>
        <td style="text-align: left;"><br />
</td>
    </tr>
</table>

</body></html>

@@ Line 1: / Line 1: @@
 <h2>IMPORTED REVISION FROM WIKISPACES</h2>
 This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-11 16:25:56 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-23 16:02:46 UTC</tt>.<br>
-: The original revision id was <tt>540663032</tt>.<br>
+: The original revision id was <tt>551973362</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>
@@ Line 22: / Line 22: @@
 ||   || 82\145 ||   || 678.621 || 19 19 19 6 ||   ||
 ||   || 95\168 ||   || 678.571 || 22 22 22 7 ||   ||
-||   || 108\191 ||   || 678.534 || 25 25 25 8 ||   ||
+||   ||   ||   || 678.569 || π π π 1 || L/s = π ||
+||&lt;   ||&lt; 108\191 ||&lt;   ||&lt; 678.534 ||&lt; 25 25 25 8 ||&lt;   ||
 ||&lt;   ||&lt; 121\214 ||&lt;   ||&lt; 678.505 ||&lt; 28 28 28 9 ||&lt; 28;9 Superdiatonic 1/28-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)&lt;/span&gt; ||
-||&lt;   ||&lt; 134\237 ||&lt;   ||&lt; 678.481 ||&lt; 31 31 31 10 ||&lt; HORNBOSTEL TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(1/31-tone; Optimum high size of Hornbostel '6th')&lt;/span&gt; ||
+||   || 134\237 ||   || 678.481 || 31 31 31 10 || HORNBOSTEL TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(1/31-tone; Optimum high size of Hornbostel '6th')&lt;/span&gt; ||
-||   ||   ||   || 678.3235 || 3.03 3.03 3.03 3.03 1 || L/s = 3*2^(1/75) ||
 ||&lt; 13\23 ||&lt;   ||&lt;   ||&lt; 678.261 ||&lt; 3 3 3 1 ||&lt; HORNBOSTEL TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/3-tone)&lt;/span&gt; ||
-||   ||   ||   || 678.198 || 2.97 2.97 2.97 2.97 1 || L/s = 3/2^(1/75) ||
+||   || 126\223 ||   || 678.027 || 29 29 29 10 || HORNBOSTEL TEMPERAMENT
-||&lt;   ||&lt; 126\223 ||&lt;   ||&lt; 678.027 ||&lt; 29 29 29 10 ||&lt; HORNBOSTEL TEMPERAMENT
 &lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/29-tone)&lt;/span&gt; ||
 ||&lt;   ||&lt; 113\200 ||&lt;   ||&lt; 678 ||&lt; 26 26 26 9 ||&lt; HORNBOSTEL (&amp; [[Alexei Stepanovich Ogolevets|OGOLEVETS]]) TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/26-tone; Best equillibrium between 6/5, Phi (833.1 Cent) and Square root of Pi (990.9 Cent), the notes '3', '7' &amp; '8')&lt;/span&gt; ||
@@ Line 35: / Line 34: @@
 ||&lt;   ||&lt; 74\131 ||&lt;   ||&lt; 677.863 ||&lt; 17 17 17 6 ||&lt; Armodue-Hornbostel 1/17-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(the Golden Tone System of Thorvald Kornerup and a temperament of the Alexei Ogolevets's list of temperaments)&lt;/span&gt; ||
 ||&lt;   ||&lt; 61\108 ||&lt;   ||&lt; 677.778 ||&lt; 14 14 14 5 ||&lt; Armodue-Hornbostel 1/14-tone ||
-||&lt;   ||&lt;   ||&lt; 109\193 ||&lt; 677.720 ||&lt; 25 25 25 9 ||&lt; Armodue-Hornbostel 1/25-tone ||
+||&lt;   ||&lt; 109\193 ||&lt;   ||&lt; 677.720 ||&lt; 25 25 25 9 ||&lt; Armodue-Hornbostel 1/25-tone ||
-||&lt;   ||&lt; 48\85 ||&lt;   ||&lt; 677.647 ||&lt; 11 11 11 4 ||&lt; Armodue-&lt;span style="font-size: 13px; line-height: 1.5;"&gt;Hornbostel 1/11-tone &lt;/span&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;(Optimum accuracy of Phi interval, the note '7')&lt;/span&gt; ||
+||&lt;   ||&lt; 48\85 ||&lt;   ||&lt; 677.647 ||&lt; 11 11 11 4 ||&lt; Armodue-Hornbostel 1/11-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(Optimum accuracy of Phi interval, the note '7')&lt;/span&gt; ||
+||&lt;   ||&lt;   ||&lt;   ||&lt; 677.562 ||&lt; e e e 1 ||&lt; L/s = e ||
 ||&lt;   ||&lt; 35\62 ||&lt;   ||&lt; 677.419 ||&lt; 8 8 8 3 ||&lt; Armodue-Hornbostel 1/8-tone ||
 ||&lt;   ||&lt; 92\163 ||&lt;   ||&lt; 677.301 ||&lt; 21 21 21 8 ||&lt; 21;8 Superdiatonic 1/21-tone ||
@@ Line 231: / Line 231: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;108\191&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;678.534&lt;br /&gt;
+         &lt;td&gt;678.569&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;25 25 25 8&lt;br /&gt;
+         &lt;td&gt;π π π 1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td&gt;L/s = π&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 245: / Line 245: @@
          &lt;td style="text-align: left;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;121\214&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;108\191&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: left;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;678.505&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;678.534&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;28 28 28 9&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;25 25 25 8&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;28;9 Superdiatonic 1/28-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 259: / Line 259: @@
          &lt;td style="text-align: left;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;134\237&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;121\214&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: left;"&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;678.481&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;678.505&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;31 31 31 10&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;28 28 28 9&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(1/31-tone; Optimum high size of Hornbostel '6th')&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;28;9 Superdiatonic 1/28-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(a slight exceeded representation of the ratio 262144/177147, the Pythagorean wolf Fifth)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 273: / Line 273: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td&gt;134\237&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;678.3235&lt;br /&gt;
+         &lt;td&gt;678.481&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;3.03 3.03 3.03 3.03 1&lt;br /&gt;
+         &lt;td&gt;31 31 31 10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;L/s = 3*2^(1/75)&lt;br /&gt;
+         &lt;td&gt;HORNBOSTEL TEMPERAMENT &lt;span style="font-size: 12.8000001907349px;"&gt;(1/31-tone; Optimum high size of Hornbostel '6th')&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 301: / Line 301: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;&lt;br /&gt;
+         &lt;td&gt;126\223&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;678.198&lt;br /&gt;
+         &lt;td&gt;678.027&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;2.97 2.97 2.97 2.97 1&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;L/s = 3/2^(1/75)&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;126\223&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+         &lt;td&gt;29 29 29 10&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;678.027&lt;br /&gt;
+         &lt;td&gt;HORNBOSTEL TEMPERAMENT&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;29 29 29 10&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;HORNBOSTEL TEMPERAMENT&lt;br /&gt;
 &lt;span style="font-size: 12.8000001907349px;"&gt;(Armodue 1/29-tone)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 399: / Line 385: @@
      &lt;tr&gt;
          &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;109\193&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: left;"&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td style="text-align: left;"&gt;109\193&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: left;"&gt;677.720&lt;br /&gt;
@@ Line 422: / Line 408: @@
          &lt;td style="text-align: left;"&gt;11 11 11 4&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: left;"&gt;Armodue-&lt;span style="font-size: 13px; line-height: 1.5;"&gt;Hornbostel 1/11-tone &lt;/span&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;(Optimum accuracy of Phi interval, the note '7')&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: left;"&gt;Armodue-Hornbostel 1/11-tone &lt;span style="font-size: 12.8000001907349px;"&gt;(Optimum accuracy of Phi interval, the note '7')&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;677.562&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;e e e 1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: left;"&gt;L/s = e&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;

7L 2s: Difference between revisions

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