3L 4s: Difference between revisions

Revision as of 23:33, 10 February 2015

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Original Wikitext content:

=3L 4s - "mosh"= 

MOS scales of this form are built from a generator that falls between 1\3 (one degree of [[3edo]] - 400 cents) and 2\7 (two degrees of [[7edo]] - 343 cents.

It has the form s L s L s L s and its various "modes" (with [[Modal UDP Notation]] and nicknames coined by [[Andrew Heathwaite]]) are:

||= **Mode** ||= **UDP** ||= **Nickname** ||
|| s L s L s L s ||= 3|3 || bish ||
|| L s L s L s s ||= 6|0 || dril ||
|| s L s L s s L ||= 2|4 || fish ||
|| L s L s s L s ||= 5|1 || gil ||
|| s L s s L s L ||= 1|5 || jwl ||
|| L s s L s L s ||= 4|2 || kleeth ||
|| s s L s L s L ||= 0|6 || led ||
The two notable harmonic entropy minima with this pattern are neutral third scales ("dicot" / "hemififth" / "mohajira") where two generators make a 3/2, and [[Magic family|magic]], where the generator is a 5/4 but five of them make a 3/1.
||~   ||~   ||~   ||~ g ||~ 2g ||~ 3g ||~ 4g (-1200) ||~ comments ||
|| 1\3 ||   ||   || 400.000 || 800.000 || 1200.000 || 400.000 ||=   ||
||   || 15\46 ||   || 391.304 || 782.609 || 1173.913 || 365.217 ||=   ||
||   || 14\43 ||   || 390.698 || 781.395 || 1172.093 || 362.791 ||=   ||
||   || 13\40 ||   || 390.000 || 780.000 || 1170.000 || 360.000 ||=   ||
||   || 12\37 ||   || 389.189 || 778.378 || 1167.568 || 356.757 ||=   ||
||   || 11\34 ||   || 388.235 || 776.471 || 1164.706 || 352.941 ||=   ||
||   || 10\31 ||   || 387.097 || 774.194 || 1161.290 || 348.387 ||= <span style="display: block; text-align: center;">[[xenharmonic/Würschmidt family|Würschmidt]] is around here</span> ||
||   ||   || 19\59 || 386.441 || 772.881 || 1159.322 || 345.763 ||=   ||
||   || 9\28 ||   || 385.714 || 771.429 || 1157.143 || 342.857 ||=   ||
||   || 8\25 ||   || 384.000 || 768.000 || 1152.000 || 336.000 ||=   ||
||   ||   || 23\72 || 383.333 || 766.667 || 1150.000 || 333.333 ||=   ||
||   ||   || 15\47 || 382.988 || 765.957 || 1148.936 || 331.915 ||=   ||
||   || 7\22 ||   || 381.818 || 763.636 || 1145.455 || 327.273 ||=   ||
||   ||   || 13\41 || 380.488 || 760.976 || 1141.463 || 321.951 ||= <span style="display: block; text-align: center;">Magic is around here</span> ||
||   ||   || 19\60 || 380.000 || 760.000 || 1140.000 || 320.000 ||=   ||
||   ||   || 25\79 || 379.747 || 759.494 || 1139.2405 || 318.987 ||=   ||
||   || 6\19 ||   || 378.947 || 757.895 || 1136.842 || 315.789 ||=   ||
||   ||   || 11\35 || 377.143 || 754.286 || 1131.429 || 308.571 ||=   ||
||   ||   || 16\51 || 376.471 || 752.941 || 1129.412 || 305.882 ||=   ||
||   || 5\16 ||   || 375.000 || 750.000 || 1125.000 || 300.000 ||= <span style="display: block; text-align: center;">L/s = 4</span> ||
||   ||   || 24\77 || 374.026 || 748.052 || 1122.078 || 296.104 ||=   ||
||   ||   || 19\61 || 373.7705 || 747.541 || 1121.3115 || 295.082 ||=   ||
||   ||   || 14\45 || 373.333 || 746.667 || 1120.000 || 293.333 ||=   ||
||   ||   || 9\29 || 372.414 || 744.828 || 1117.241 || 289.655 ||=   ||
||   ||   || 13\42 || 371.429 || 742.857 || 1114.286 || 285.714 ||=   ||
||   ||   || 17\55 || 370.909 || 741.818 || 1112.727 || 283.636 ||=   ||
||   ||   ||   || 369.427 || 738.855 || 1108.282 || 277.709 ||= <span style="display: block; text-align: center;">L/s = 3*2^(1/75)</span> ||
||   || 4\13 ||   || 369.231 || 738.462 || 1107.692 || 276.923 ||= <span style="display: block; text-align: center;">L/s = 3</span> ||
||   ||   ||   || 369.0335 || 738.067 || 1107.101 || 276.134 ||= <span style="display: block; text-align: center;">L/s = 3/2^(1/75)</span> ||
||   ||   || 23\75 || 368.000 || 736.000 || 1104.000 || 272.000 ||   ||
||   ||   || 19\62 || 367.742 || 735.484 || 1103.226 || 270.968 ||=   ||
||   ||   || 15\49 || 367.347 || 734.694 || 1102.041 || 269.388 ||=   ||
||   ||   || 11\36 || 366.667 || 733.333 || 1100.000 || 266.667 ||=   ||
||   ||   || 7\23 || 365.217 || 730.435 || 1095.652 || 260.870 ||= <span style="display: block; text-align: center;">Modi Sephiratorum (Kosmorsky)</span> ||
||   ||   || 17\56 || 364.286 || 728.571 || 1092.857 || 257.143 ||=   ||
||   ||   || 10\33 || 363.636 || 727.272 || 1090.909 || 254.545 ||=   ||
||   ||   || 13\43 || 362.791 || 725.581 || 1088.372 || 251.163 ||=   ||
||   ||   || 16\53 || 362.264 || 724.528 || 1086.7925 || 249.057 ||=   ||
||   ||   || 19\63 || 361.905 || 723.8095 || 1085.714 || 247.619 ||=   ||
||   || 3\10 ||   || 360.000 || 720.000 || 1080.000 || 240.000 ||= <span style="display: block; text-align: center;">Boundary of propriety</span><span style="display: block; text-align: center;">(generators smaller than this are proper)</span> ||
||   ||   || 38\127 || 359.055 || 718.110 || 1077.165 || 236.2205 ||=   ||
||   ||   || 35\117 || 358.974 || 717.949 || 1076.923 || 235.898 ||=   ||
||   ||   || 32\107 || 358.8785 || 717.757 || 1076.6355 || 235.514 ||=   ||
||   ||   || 29\97 || 358.763 || 717.526 || 1076.289 || 235.0515 ||=   ||
||   ||   || 26\87 || 358.621 || 717.241 || 1075.862 || 234.483 ||=   ||
||   ||   || 23\77 || 358.442 || 716.883 || 1075.325 || 233.767 ||=   ||
||   ||   || 20\67 || 358.209 || 716.418 || 1074.627 || 232.836 ||=   ||
||   ||   || 17\57 || 357.895 || 715.7895 || 1073.684 || 231.579 ||=   ||
||   ||   || 14\47 || 357.447 || 714.894 || 1072.340 || 229.787 ||=   ||
||   ||   || 11\37 || 356.757 || 713.514 || 1070.270 || 227.027 ||=   ||
||   ||   || 8\27 || 355.556 || 711.111 || 1066.667 || 222.222 ||= <span style="display: block; text-align: center;">Beatles is around here</span> ||
||   ||   ||   || 354.930 || 709.859 || 1064.789 || 219.718 ||= <span style="display: block; text-align: center;">Golden neutral thirds scale</span> ||
||   ||   || 21\71 || 354.783 || 709.565 || 1064.348 || 219.13 ||=   ||
||   ||   || 13\44 || 354.545 || 709.091 || 1063.636 || 218.182 ||=   ||
||   || 5\17 ||   || 352.941 || 705.882 || 1058.824 || 211.765 ||= <span style="display: block; text-align: center;">Optimum rank range (L/s=3/2)</span> ||
||   ||   || 12\41 || 351.220 || 702.439 || 1053.659 || 204.878 ||= <span style="display: block; text-align: center;">2.3.11 neutral thirds scale is around here</span> ||
||   || 7\24 ||   || 350.000 || 700.000 || 1050.000 || 200.000 ||=   ||
||   ||   || 16\55 || 349.091 || 698.182 || 1047.273 || 196.364 ||   ||
||   || 9\31 ||   || 348.387 || 696.774 || 1045.161 || 193.548 ||= <span style="display: block; text-align: center;">Mohajira/dicot is around here</span> ||
||   || 11\38 ||   || 347.368 || 694.737 || 1042.105 || 189.474 ||   ||
|| 2\7 ||   ||   || 342.857 || 685.714 || 1028.571 || 171.429 ||=   ||

3\10 on this chart represents a dividing line between "neutral third scales" on the bottom (eg. [[17edo neutral scale]]), and something else I don't have a name for yet on the top, with [[10edo]] standing in between. (What do you call this region, dear reader?) Of course, magic is in the top half, but it's a pretty specific scale and doesn't describe the whole range. MOS-wise, the neutral third scales, after three more generations, make MOS [[7L 3s]] ("unfair mosh"); the other scales make MOS [[3L 7s]] ("fair mosh").

In "neutral third scale territory," the generators are all "neutral thirds," and two of them make an approximation of the "perfect fifth." Additionally, the L of the scale is somewhere around a "whole tone" and the s of the scale is somewhere around a "neutral tone".

In the as-yet unnamed northern territory, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L ranges from a "supermajor second" to a "major third" and s is a "semitone" or smaller.

Original HTML content:

<html><head><title>3L 4s</title></head><body><!-- ws:start:WikiTextHeadingRule:0:&lt;h1&gt; --><h1 id="toc0"><a name="x3L 4s - &quot;mosh&quot;"></a><!-- ws:end:WikiTextHeadingRule:0 -->3L 4s - &quot;mosh&quot;</h1>
 <br />
MOS scales of this form are built from a generator that falls between 1\3 (one degree of <a class="wiki_link" href="/3edo">3edo</a> - 400 cents) and 2\7 (two degrees of <a class="wiki_link" href="/7edo">7edo</a> - 343 cents.<br />
<br />
It has the form s L s L s L s and its various &quot;modes&quot; (with <a class="wiki_link" href="/Modal%20UDP%20Notation">Modal UDP Notation</a> and nicknames coined by <a class="wiki_link" href="/Andrew%20Heathwaite">Andrew Heathwaite</a>) are:<br />
<br />


<table class="wiki_table">
    <tr>
        <td style="text-align: center;"><strong>Mode</strong><br />
</td>
        <td style="text-align: center;"><strong>UDP</strong><br />
</td>
        <td style="text-align: center;"><strong>Nickname</strong><br />
</td>
    </tr>
    <tr>
        <td>s L s L s L s<br />
</td>
        <td style="text-align: center;">3|3<br />
</td>
        <td>bish<br />
</td>
    </tr>
    <tr>
        <td>L s L s L s s<br />
</td>
        <td style="text-align: center;">6|0<br />
</td>
        <td>dril<br />
</td>
    </tr>
    <tr>
        <td>s L s L s s L<br />
</td>
        <td style="text-align: center;">2|4<br />
</td>
        <td>fish<br />
</td>
    </tr>
    <tr>
        <td>L s L s s L s<br />
</td>
        <td style="text-align: center;">5|1<br />
</td>
        <td>gil<br />
</td>
    </tr>
    <tr>
        <td>s L s s L s L<br />
</td>
        <td style="text-align: center;">1|5<br />
</td>
        <td>jwl<br />
</td>
    </tr>
    <tr>
        <td>L s s L s L s<br />
</td>
        <td style="text-align: center;">4|2<br />
</td>
        <td>kleeth<br />
</td>
    </tr>
    <tr>
        <td>s s L s L s L<br />
</td>
        <td style="text-align: center;">0|6<br />
</td>
        <td>led<br />
</td>
    </tr>
</table>

The two notable harmonic entropy minima with this pattern are neutral third scales (&quot;dicot&quot; / &quot;hemififth&quot; / &quot;mohajira&quot;) where two generators make a 3/2, and <a class="wiki_link" href="/Magic%20family">magic</a>, where the generator is a 5/4 but five of them make a 3/1.<br />


<table class="wiki_table">
    <tr>
        <th><br />
</th>
        <th><br />
</th>
        <th><br />
</th>
        <th>g<br />
</th>
        <th>2g<br />
</th>
        <th>3g<br />
</th>
        <th>4g (-1200)<br />
</th>
        <th>comments<br />
</th>
    </tr>
    <tr>
        <td>1\3<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>400.000<br />
</td>
        <td>800.000<br />
</td>
        <td>1200.000<br />
</td>
        <td>400.000<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>15\46<br />
</td>
        <td><br />
</td>
        <td>391.304<br />
</td>
        <td>782.609<br />
</td>
        <td>1173.913<br />
</td>
        <td>365.217<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>14\43<br />
</td>
        <td><br />
</td>
        <td>390.698<br />
</td>
        <td>781.395<br />
</td>
        <td>1172.093<br />
</td>
        <td>362.791<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>13\40<br />
</td>
        <td><br />
</td>
        <td>390.000<br />
</td>
        <td>780.000<br />
</td>
        <td>1170.000<br />
</td>
        <td>360.000<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>12\37<br />
</td>
        <td><br />
</td>
        <td>389.189<br />
</td>
        <td>778.378<br />
</td>
        <td>1167.568<br />
</td>
        <td>356.757<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>11\34<br />
</td>
        <td><br />
</td>
        <td>388.235<br />
</td>
        <td>776.471<br />
</td>
        <td>1164.706<br />
</td>
        <td>352.941<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>10\31<br />
</td>
        <td><br />
</td>
        <td>387.097<br />
</td>
        <td>774.194<br />
</td>
        <td>1161.290<br />
</td>
        <td>348.387<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;"><a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt%20family">Würschmidt</a> is around here</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>19\59<br />
</td>
        <td>386.441<br />
</td>
        <td>772.881<br />
</td>
        <td>1159.322<br />
</td>
        <td>345.763<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>9\28<br />
</td>
        <td><br />
</td>
        <td>385.714<br />
</td>
        <td>771.429<br />
</td>
        <td>1157.143<br />
</td>
        <td>342.857<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>8\25<br />
</td>
        <td><br />
</td>
        <td>384.000<br />
</td>
        <td>768.000<br />
</td>
        <td>1152.000<br />
</td>
        <td>336.000<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>23\72<br />
</td>
        <td>383.333<br />
</td>
        <td>766.667<br />
</td>
        <td>1150.000<br />
</td>
        <td>333.333<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>15\47<br />
</td>
        <td>382.988<br />
</td>
        <td>765.957<br />
</td>
        <td>1148.936<br />
</td>
        <td>331.915<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7\22<br />
</td>
        <td><br />
</td>
        <td>381.818<br />
</td>
        <td>763.636<br />
</td>
        <td>1145.455<br />
</td>
        <td>327.273<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>13\41<br />
</td>
        <td>380.488<br />
</td>
        <td>760.976<br />
</td>
        <td>1141.463<br />
</td>
        <td>321.951<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Magic is around here</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>19\60<br />
</td>
        <td>380.000<br />
</td>
        <td>760.000<br />
</td>
        <td>1140.000<br />
</td>
        <td>320.000<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>25\79<br />
</td>
        <td>379.747<br />
</td>
        <td>759.494<br />
</td>
        <td>1139.2405<br />
</td>
        <td>318.987<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>6\19<br />
</td>
        <td><br />
</td>
        <td>378.947<br />
</td>
        <td>757.895<br />
</td>
        <td>1136.842<br />
</td>
        <td>315.789<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\35<br />
</td>
        <td>377.143<br />
</td>
        <td>754.286<br />
</td>
        <td>1131.429<br />
</td>
        <td>308.571<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>16\51<br />
</td>
        <td>376.471<br />
</td>
        <td>752.941<br />
</td>
        <td>1129.412<br />
</td>
        <td>305.882<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5\16<br />
</td>
        <td><br />
</td>
        <td>375.000<br />
</td>
        <td>750.000<br />
</td>
        <td>1125.000<br />
</td>
        <td>300.000<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 4</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>24\77<br />
</td>
        <td>374.026<br />
</td>
        <td>748.052<br />
</td>
        <td>1122.078<br />
</td>
        <td>296.104<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>19\61<br />
</td>
        <td>373.7705<br />
</td>
        <td>747.541<br />
</td>
        <td>1121.3115<br />
</td>
        <td>295.082<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>14\45<br />
</td>
        <td>373.333<br />
</td>
        <td>746.667<br />
</td>
        <td>1120.000<br />
</td>
        <td>293.333<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>9\29<br />
</td>
        <td>372.414<br />
</td>
        <td>744.828<br />
</td>
        <td>1117.241<br />
</td>
        <td>289.655<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>13\42<br />
</td>
        <td>371.429<br />
</td>
        <td>742.857<br />
</td>
        <td>1114.286<br />
</td>
        <td>285.714<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>17\55<br />
</td>
        <td>370.909<br />
</td>
        <td>741.818<br />
</td>
        <td>1112.727<br />
</td>
        <td>283.636<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>369.427<br />
</td>
        <td>738.855<br />
</td>
        <td>1108.282<br />
</td>
        <td>277.709<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 3*2^(1/75)</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>4\13<br />
</td>
        <td><br />
</td>
        <td>369.231<br />
</td>
        <td>738.462<br />
</td>
        <td>1107.692<br />
</td>
        <td>276.923<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 3</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>369.0335<br />
</td>
        <td>738.067<br />
</td>
        <td>1107.101<br />
</td>
        <td>276.134<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 3/2^(1/75)</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>23\75<br />
</td>
        <td>368.000<br />
</td>
        <td>736.000<br />
</td>
        <td>1104.000<br />
</td>
        <td>272.000<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>19\62<br />
</td>
        <td>367.742<br />
</td>
        <td>735.484<br />
</td>
        <td>1103.226<br />
</td>
        <td>270.968<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>15\49<br />
</td>
        <td>367.347<br />
</td>
        <td>734.694<br />
</td>
        <td>1102.041<br />
</td>
        <td>269.388<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\36<br />
</td>
        <td>366.667<br />
</td>
        <td>733.333<br />
</td>
        <td>1100.000<br />
</td>
        <td>266.667<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>7\23<br />
</td>
        <td>365.217<br />
</td>
        <td>730.435<br />
</td>
        <td>1095.652<br />
</td>
        <td>260.870<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Modi Sephiratorum (Kosmorsky)</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>17\56<br />
</td>
        <td>364.286<br />
</td>
        <td>728.571<br />
</td>
        <td>1092.857<br />
</td>
        <td>257.143<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>10\33<br />
</td>
        <td>363.636<br />
</td>
        <td>727.272<br />
</td>
        <td>1090.909<br />
</td>
        <td>254.545<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>13\43<br />
</td>
        <td>362.791<br />
</td>
        <td>725.581<br />
</td>
        <td>1088.372<br />
</td>
        <td>251.163<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>16\53<br />
</td>
        <td>362.264<br />
</td>
        <td>724.528<br />
</td>
        <td>1086.7925<br />
</td>
        <td>249.057<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>19\63<br />
</td>
        <td>361.905<br />
</td>
        <td>723.8095<br />
</td>
        <td>1085.714<br />
</td>
        <td>247.619<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>3\10<br />
</td>
        <td><br />
</td>
        <td>360.000<br />
</td>
        <td>720.000<br />
</td>
        <td>1080.000<br />
</td>
        <td>240.000<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Boundary of propriety</span><span style="display: block; text-align: center;">(generators smaller than this are proper)</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>38\127<br />
</td>
        <td>359.055<br />
</td>
        <td>718.110<br />
</td>
        <td>1077.165<br />
</td>
        <td>236.2205<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>35\117<br />
</td>
        <td>358.974<br />
</td>
        <td>717.949<br />
</td>
        <td>1076.923<br />
</td>
        <td>235.898<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>32\107<br />
</td>
        <td>358.8785<br />
</td>
        <td>717.757<br />
</td>
        <td>1076.6355<br />
</td>
        <td>235.514<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>29\97<br />
</td>
        <td>358.763<br />
</td>
        <td>717.526<br />
</td>
        <td>1076.289<br />
</td>
        <td>235.0515<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>26\87<br />
</td>
        <td>358.621<br />
</td>
        <td>717.241<br />
</td>
        <td>1075.862<br />
</td>
        <td>234.483<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>23\77<br />
</td>
        <td>358.442<br />
</td>
        <td>716.883<br />
</td>
        <td>1075.325<br />
</td>
        <td>233.767<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>20\67<br />
</td>
        <td>358.209<br />
</td>
        <td>716.418<br />
</td>
        <td>1074.627<br />
</td>
        <td>232.836<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>17\57<br />
</td>
        <td>357.895<br />
</td>
        <td>715.7895<br />
</td>
        <td>1073.684<br />
</td>
        <td>231.579<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>14\47<br />
</td>
        <td>357.447<br />
</td>
        <td>714.894<br />
</td>
        <td>1072.340<br />
</td>
        <td>229.787<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>11\37<br />
</td>
        <td>356.757<br />
</td>
        <td>713.514<br />
</td>
        <td>1070.270<br />
</td>
        <td>227.027<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>8\27<br />
</td>
        <td>355.556<br />
</td>
        <td>711.111<br />
</td>
        <td>1066.667<br />
</td>
        <td>222.222<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Beatles is around here</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>354.930<br />
</td>
        <td>709.859<br />
</td>
        <td>1064.789<br />
</td>
        <td>219.718<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Golden neutral thirds scale</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>21\71<br />
</td>
        <td>354.783<br />
</td>
        <td>709.565<br />
</td>
        <td>1064.348<br />
</td>
        <td>219.13<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>13\44<br />
</td>
        <td>354.545<br />
</td>
        <td>709.091<br />
</td>
        <td>1063.636<br />
</td>
        <td>218.182<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>5\17<br />
</td>
        <td><br />
</td>
        <td>352.941<br />
</td>
        <td>705.882<br />
</td>
        <td>1058.824<br />
</td>
        <td>211.765<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Optimum rank range (L/s=3/2)</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>12\41<br />
</td>
        <td>351.220<br />
</td>
        <td>702.439<br />
</td>
        <td>1053.659<br />
</td>
        <td>204.878<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">2.3.11 neutral thirds scale is around here</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>7\24<br />
</td>
        <td><br />
</td>
        <td>350.000<br />
</td>
        <td>700.000<br />
</td>
        <td>1050.000<br />
</td>
        <td>200.000<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td><br />
</td>
        <td>16\55<br />
</td>
        <td>349.091<br />
</td>
        <td>698.182<br />
</td>
        <td>1047.273<br />
</td>
        <td>196.364<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>9\31<br />
</td>
        <td><br />
</td>
        <td>348.387<br />
</td>
        <td>696.774<br />
</td>
        <td>1045.161<br />
</td>
        <td>193.548<br />
</td>
        <td style="text-align: center;"><span style="display: block; text-align: center;">Mohajira/dicot is around here</span><br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>11\38<br />
</td>
        <td><br />
</td>
        <td>347.368<br />
</td>
        <td>694.737<br />
</td>
        <td>1042.105<br />
</td>
        <td>189.474<br />
</td>
        <td><br />
</td>
    </tr>
    <tr>
        <td>2\7<br />
</td>
        <td><br />
</td>
        <td><br />
</td>
        <td>342.857<br />
</td>
        <td>685.714<br />
</td>
        <td>1028.571<br />
</td>
        <td>171.429<br />
</td>
        <td style="text-align: center;"><br />
</td>
    </tr>
</table>

<br />
3\10 on this chart represents a dividing line between &quot;neutral third scales&quot; on the bottom (eg. <a class="wiki_link" href="/17edo%20neutral%20scale">17edo neutral scale</a>), and something else I don't have a name for yet on the top, with <a class="wiki_link" href="/10edo">10edo</a> standing in between. (What do you call this region, dear reader?) Of course, magic is in the top half, but it's a pretty specific scale and doesn't describe the whole range. MOS-wise, the neutral third scales, after three more generations, make MOS <a class="wiki_link" href="/7L%203s">7L 3s</a> (&quot;unfair mosh&quot;); the other scales make MOS <a class="wiki_link" href="/3L%207s">3L 7s</a> (&quot;fair mosh&quot;).<br />
<br />
In &quot;neutral third scale territory,&quot; the generators are all &quot;neutral thirds,&quot; and two of them make an approximation of the &quot;perfect fifth.&quot; Additionally, the L of the scale is somewhere around a &quot;whole tone&quot; and the s of the scale is somewhere around a &quot;neutral tone&quot;.<br />
<br />
In the as-yet unnamed northern territory, the generators are major thirds (including some very flat ones), and two generators are definitely sharp of a perfect fifth. L ranges from a &quot;supermajor second&quot; to a &quot;major third&quot; and s is a &quot;semitone&quot; or smaller.</body></html>

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 <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>2015-01-27 16:15:33 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-10 23:33:15 UTC</tt>.<br>
-: The original revision id was <tt>538741912</tt>.<br>
+: The original revision id was <tt>540551378</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 21: / Line 21: @@
 || s s L s L s L ||= 0|6 || led ||
 The two notable harmonic entropy minima with this pattern are neutral third scales ("dicot" / "hemififth" / "mohajira") where two generators make a 3/2, and [[Magic family|magic]], where the generator is a 5/4 but five of them make a 3/1.
-||~   ||~   ||~   ||~   ||~ g ||~ 2g ||~ 3g ||~ 4g (-1200) ||~ comments ||
+||~   ||~   ||~   ||~ g ||~ 2g ||~ 3g ||~ 4g (-1200) ||~ comments ||
-|| 1\3 ||   ||   ||   || 400.000 || 800.000 || 1200.000 || 400.000 ||=   ||
+|| 1\3 ||   ||   || 400.000 || 800.000 || 1200.000 || 400.000 ||=   ||
-||   || 15\46 ||   ||   || 391.304 || 782.609 || 1173.913 || 365.217 ||=   ||
+||   || 15\46 ||   || 391.304 || 782.609 || 1173.913 || 365.217 ||=   ||
-||   || 14\43 ||   ||   || 390.698 || 781.395 || 1172.093 || 362.791 ||=   ||
+||   || 14\43 ||   || 390.698 || 781.395 || 1172.093 || 362.791 ||=   ||
-||   || 13\40 ||   ||   || 390.000 || 780.000 || 1170.000 || 360.000 ||=   ||
+||   || 13\40 ||   || 390.000 || 780.000 || 1170.000 || 360.000 ||=   ||
-||   || 12\37 ||   ||   || 389.189 || 778.378 || 1167.568 || 356.757 ||=   ||
+||   || 12\37 ||   || 389.189 || 778.378 || 1167.568 || 356.757 ||=   ||
-||   || 11\34 ||   ||   || 388.235 || 776.471 || 1164.706 || 352.941 ||=   ||
+||   || 11\34 ||   || 388.235 || 776.471 || 1164.706 || 352.941 ||=   ||
-||   || 10\31 ||   ||   || 387.097 || 774.194 || 1161.290 || 348.387 ||= &lt;span style="text-align: center;"&gt;[[xenharmonic/Würschmidt family|Würschmidt]]&lt;/span&gt;&lt;span style="text-align: center;"&gt; is around here&lt;/span&gt; ||
+||   || 10\31 ||   || 387.097 || 774.194 || 1161.290 || 348.387 ||= &lt;span style="display: block; text-align: center;"&gt;[[xenharmonic/Würschmidt family|Würschmidt]] is around here&lt;/span&gt; ||
-||   ||   || 19\59 ||   || 386.441 || 772.881 || 1159.322 || 345.763 ||=   ||
+||   ||   || 19\59 || 386.441 || 772.881 || 1159.322 || 345.763 ||=   ||
-||   || 9\28 ||   ||   || 385.714 || 771.429 || 1157.143 || 342.857 ||=   ||
+||   || 9\28 ||   || 385.714 || 771.429 || 1157.143 || 342.857 ||=   ||
-||   || 8\25 ||   ||   || 384.000 || 768.000 || 1152.000 || 336.000 ||=   ||
+||   || 8\25 ||   || 384.000 || 768.000 || 1152.000 || 336.000 ||=   ||
-||   ||   || 23\72 ||   || 383.333 || 766.667 || 1150.000 || 333.333 ||=   ||
+||   ||   || 23\72 || 383.333 || 766.667 || 1150.000 || 333.333 ||=   ||
-||   ||   || 15\47 ||   || 382.988 || 765.957 || 1148.936 || 331.915 ||=   ||
+||   ||   || 15\47 || 382.988 || 765.957 || 1148.936 || 331.915 ||=   ||
-||   || 7\22 ||   ||   || 381.818 || 763.636 || 1145.455 || 327.273 ||=   ||
+||   || 7\22 ||   || 381.818 || 763.636 || 1145.455 || 327.273 ||=   ||
-||   ||   || 13\41 ||   || 380.488 || 760.976 || 1141.463 || 321.951 ||= &lt;span style="text-align: center;"&gt;Magic is around here&lt;/span&gt; ||
+||   ||   || 13\41 || 380.488 || 760.976 || 1141.463 || 321.951 ||= &lt;span style="display: block; text-align: center;"&gt;Magic is around here&lt;/span&gt; ||
-||   ||   || 19\60 ||   || 380.000 || 760.000 || 1140.000 || 320.000 ||=   ||
+||   ||   || 19\60 || 380.000 || 760.000 || 1140.000 || 320.000 ||=   ||
-||   ||   || 25\79 ||   || 379.747 || 759.494 || 1139.2405 || 318.987 ||=   ||
+||   ||   || 25\79 || 379.747 || 759.494 || 1139.2405 || 318.987 ||=   ||
-||   || 6\19 ||   ||   || 378.947 || 757.895 || 1136.842 || 315.789 ||=   ||
+||   || 6\19 ||   || 378.947 || 757.895 || 1136.842 || 315.789 ||=   ||
-||   ||   || 11\35 ||   || 377.143 || 754.286 || 1131.429 || 308.571 ||=   ||
+||   ||   || 11\35 || 377.143 || 754.286 || 1131.429 || 308.571 ||=   ||
-||   ||   || 16\51 ||   || 376.471 || 752.941 || 1129.412 || 305.882 ||=   ||
+||   ||   || 16\51 || 376.471 || 752.941 || 1129.412 || 305.882 ||=   ||
-||   || 5\16 ||   ||   || 375.000 || 750.000 || 1125.000 || 300.000 ||= &lt;span style="text-align: center;"&gt;L/s = 4&lt;/span&gt; ||
+||   || 5\16 ||   || 375.000 || 750.000 || 1125.000 || 300.000 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 4&lt;/span&gt; ||
-||   ||   || 24\77 ||   || 374.026 || 748.052 || 1122.078 || 296.104 ||=   ||
+||   ||   || 24\77 || 374.026 || 748.052 || 1122.078 || 296.104 ||=   ||
-||   ||   || 19\61 ||   || 373.7705 || 747.541 || 1121.3115 || 295.082 ||=   ||
+||   ||   || 19\61 || 373.7705 || 747.541 || 1121.3115 || 295.082 ||=   ||
-||   ||   || 14\45 ||   || 373.333 || 746.667 || 1120.000 || 293.333 ||=   ||
+||   ||   || 14\45 || 373.333 || 746.667 || 1120.000 || 293.333 ||=   ||
-||   ||   || 9\29 ||   || 372.414 || 744.828 || 1117.241 || 289.655 ||=   ||
+||   ||   || 9\29 || 372.414 || 744.828 || 1117.241 || 289.655 ||=   ||
-||   ||   || 13\42 ||   || 371.429 || 742.857 || 1114.286 || 285.714 ||=   ||
+||   ||   || 13\42 || 371.429 || 742.857 || 1114.286 || 285.714 ||=   ||
-||   ||   ||   || 17\55 || 370.909 || 741.818 || 1112.727 || 283.636 ||=   ||
+||   ||   || 17\55 || 370.909 || 741.818 || 1112.727 || 283.636 ||=   ||
-||   || 4\13 ||   ||   || 369.231 || 738.462 || 1107.692 || 276.923 ||= &lt;span style="text-align: center;"&gt;L/s = 3&lt;/span&gt; ||
+||   ||   ||   || 369.427 || 738.855 || 1108.282 || 277.709 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 3*2^(1/75)&lt;/span&gt; ||
-||   ||   || 19\62 ||   || 367.742 || 735.484 || 1103.226 || 270.968 ||=   ||
+||   || 4\13 ||   || 369.231 || 738.462 || 1107.692 || 276.923 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 3&lt;/span&gt; ||
-||   ||   || 15\49 ||   || 367.347 || 734.694 || 1102.041 || 269.388 ||=   ||
+||   ||   ||   || 369.0335 || 738.067 || 1107.101 || 276.134 ||= &lt;span style="display: block; text-align: center;"&gt;L/s = 3/2^(1/75)&lt;/span&gt; ||
-||   ||   || 11\36 ||   || 366.667 || 733.333 || 1100.000 || 266.667 ||=   ||
+||   ||   || 23\75 || 368.000 || 736.000 || 1104.000 || 272.000 ||   ||
-||   ||   || 7\23 ||   || 365.217 || 730.435 || 1095.652 || 260.870 ||= &lt;span style="text-align: center;"&gt;Modi Sephiratorum (Kosmorsky)&lt;/span&gt; ||
+||   ||   || 19\62 || 367.742 || 735.484 || 1103.226 || 270.968 ||=   ||
-||   ||   || 17\56 ||   || 364.286 || 728.571 || 1092.857 || 257.143 ||=   ||
+||   ||   || 15\49 || 367.347 || 734.694 || 1102.041 || 269.388 ||=   ||
-||   ||   || 10\33 ||   || 363.636 || 727.272 || 1090.909 || 254.545 ||=   ||
+||   ||   || 11\36 || 366.667 || 733.333 || 1100.000 || 266.667 ||=   ||
-||   ||   || 13\43 ||   || 362.791 || 725.581 || 1088.372 || 251.163 ||=   ||
+||   ||   || 7\23 || 365.217 || 730.435 || 1095.652 || 260.870 ||= &lt;span style="display: block; text-align: center;"&gt;Modi Sephiratorum (Kosmorsky)&lt;/span&gt; ||
-||   ||   || 16\53 ||   || 362.264 || 724.528 || 1086.7925 || 249.057 ||=   ||
+||   ||   || 17\56 || 364.286 || 728.571 || 1092.857 || 257.143 ||=   ||
-||   ||   || 19\63 ||   || 361.905 || 723.8095 || 1085.714 || 247.619 ||=   ||
+||   ||   || 10\33 || 363.636 || 727.272 || 1090.909 || 254.545 ||=   ||
-||   || 3\10 ||   ||   || 360.000 || 720.000 || 1080.000 || 240.000 ||= &lt;span style="text-align: center;"&gt;Boundary of propriety &lt;/span&gt;
+||   ||   || 13\43 || 362.791 || 725.581 || 1088.372 || 251.163 ||=   ||
-&lt;span style="text-align: center;"&gt;(generators smaller than this are proper)&lt;/span&gt; ||
+||   ||   || 16\53 || 362.264 || 724.528 || 1086.7925 || 249.057 ||=   ||
-||   ||   || 38\127 ||   || 359.055 || 718.110 || 1077.165 || 236.2205 ||=   ||
+||   ||   || 19\63 || 361.905 || 723.8095 || 1085.714 || 247.619 ||=   ||
-||   ||   || 35\117 ||   || 358.974 || 717.949 || 1076.923 || 235.898 ||=   ||
+||   || 3\10 ||   || 360.000 || 720.000 || 1080.000 || 240.000 ||= &lt;span style="display: block; text-align: center;"&gt;Boundary of propriety&lt;/span&gt;&lt;span style="display: block; text-align: center;"&gt;(generators smaller than this are proper)&lt;/span&gt; ||
-||   ||   || 32\107 ||   || 358.8785 || 717.757 || 1076.6355 || 235.514 ||=   ||
+||   ||   || 38\127 || 359.055 || 718.110 || 1077.165 || 236.2205 ||=   ||
-||   ||   || 29\97 ||   || 358.763 || 717.526 || 1076.289 || 235.0515 ||=   ||
+||   ||   || 35\117 || 358.974 || 717.949 || 1076.923 || 235.898 ||=   ||
-||   ||   || 26\87 ||   || 358.621 || 717.241 || 1075.862 || 234.483 ||=   ||
+||   ||   || 32\107 || 358.8785 || 717.757 || 1076.6355 || 235.514 ||=   ||
-||   ||   || 23\77 ||   || 358.442 || 716.883 || 1075.325 || 233.767 ||=   ||
+||   ||   || 29\97 || 358.763 || 717.526 || 1076.289 || 235.0515 ||=   ||
-||   ||   || 20\67 ||   || 358.209 || 716.418 || 1074.627 || 232.836 ||=   ||
+||   ||   || 26\87 || 358.621 || 717.241 || 1075.862 || 234.483 ||=   ||
-||   ||   || 17\57 ||   || 357.895 || 715.7895 || 1073.684 || 231.579 ||=   ||
+||   ||   || 23\77 || 358.442 || 716.883 || 1075.325 || 233.767 ||=   ||
-||   ||   || 14\47 ||   || 357.447 || 714.894 || 1072.340 || 229.787 ||=   ||
+||   ||   || 20\67 || 358.209 || 716.418 || 1074.627 || 232.836 ||=   ||
-||   ||   || 11\37 ||   || 356.757 || 713.514 || 1070.270 || 227.027 ||=   ||
+||   ||   || 17\57 || 357.895 || 715.7895 || 1073.684 || 231.579 ||=   ||
-||   ||   || 8\27 ||   || 355.556 || 711.111 || 1066.667 || 222.222 ||= &lt;span style="text-align: center;"&gt;Beatles is around here&lt;/span&gt; ||
+||   ||   || 14\47 || 357.447 || 714.894 || 1072.340 || 229.787 ||=   ||
-||   ||   ||   || 34\115 || 354.930 || 709.859 || 1064.789 || 219.718 ||= &lt;span style="display: block; text-align: center;"&gt;Golden neutral thirds scale&lt;/span&gt; ||
+||   ||   || 11\37 || 356.757 || 713.514 || 1070.270 || 227.027 ||=   ||
-||   ||   || 21\71 ||   || 354.783 || 709.565 || 1064.348 || 219.13 ||=   ||
+||   ||   || 8\27 || 355.556 || 711.111 || 1066.667 || 222.222 ||= &lt;span style="display: block; text-align: center;"&gt;Beatles is around here&lt;/span&gt; ||
-||   ||   || 13\44 ||   || 354.545 || 709.091 || 1063.636 || 218.182 ||=   ||
+||   ||   ||   || 354.930 || 709.859 || 1064.789 || 219.718 ||= &lt;span style="display: block; text-align: center;"&gt;Golden neutral thirds scale&lt;/span&gt; ||
-||   || 5\17 ||   ||   || 352.941 || 705.882 || 1058.824 || 211.765 ||= &lt;span style="text-align: center;"&gt;Optimum rank range (L/s=3/2)&lt;/span&gt; ||
+||   ||   || 21\71 || 354.783 || 709.565 || 1064.348 || 219.13 ||=   ||
-||   ||   || 12\41 ||   || 351.220 || 702.439 || 1053.659 || 204.878 ||= &lt;span style="text-align: center;"&gt;2.3.11 neutral thirds scale is around here&lt;/span&gt; ||
+||   ||   || 13\44 || 354.545 || 709.091 || 1063.636 || 218.182 ||=   ||
-||   || 7\24 ||   ||   || 350.000 || 700.000 || 1050.000 || 200.000 ||=   ||
+||   || 5\17 ||   || 352.941 || 705.882 || 1058.824 || 211.765 ||= &lt;span style="display: block; text-align: center;"&gt;Optimum rank range (L/s=3/2)&lt;/span&gt; ||
-||   ||   || 16\55 ||   || 349.091 || 698.182 || 1047.273 || 196.364 ||   ||
+||   ||   || 12\41 || 351.220 || 702.439 || 1053.659 || 204.878 ||= &lt;span style="display: block; text-align: center;"&gt;2.3.11 neutral thirds scale is around here&lt;/span&gt; ||
-||   || 9\31 ||   ||   || 348.387 || 696.774 || 1045.161 || 193.548 ||= &lt;span style="text-align: center;"&gt;Mohajira/dicot is around here&lt;/span&gt; ||
+||   || 7\24 ||   || 350.000 || 700.000 || 1050.000 || 200.000 ||=   ||
-||   || 11\38 ||   ||   || 347.368 || 694.737 || 1042.105 || 189.474 ||   ||
+||   ||   || 16\55 || 349.091 || 698.182 || 1047.273 || 196.364 ||   ||
-|| 2\7 ||   ||   ||   || 342.857 || 685.714 || 1028.571 || 171.429 ||=   ||
+||   || 9\31 ||   || 348.387 || 696.774 || 1045.161 || 193.548 ||= &lt;span style="display: block; text-align: center;"&gt;Mohajira/dicot is around here&lt;/span&gt; ||
+||   || 11\38 ||   || 347.368 || 694.737 || 1042.105 || 189.474 ||   ||
+|| 2\7 ||   ||   || 342.857 || 685.714 || 1028.571 || 171.429 ||=   ||
 \10 on this chart represents a dividing line between "neutral third scales" on the bottom (eg. [[17edo neutral scale]]), and something else I don't have a name for yet on the top, with [[10edo]] standing in between. (What do you call this region, dear reader?) Of course, magic is in the top half, but it's a pretty specific scale and doesn't describe the whole range. MOS-wise, the neutral third scales, after three more generations, make MOS [[7L 3s]] ("unfair mosh"); the other scales make MOS [[3L 7s]] ("fair mosh").
@@ Line 168: / Line 170: @@
 &lt;table class="wiki_table"&gt;
      &lt;tr&gt;
-        &lt;th&gt;&lt;br /&gt;
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@@ Line 189: / Line 189: @@
      &lt;tr&gt;
          &lt;td&gt;1\3&lt;br /&gt;
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-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 211: / Line 209: @@
 &lt;/td&gt;
          &lt;td&gt;15\46&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 231: / Line 227: @@
 &lt;/td&gt;
          &lt;td&gt;14\43&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 251: / Line 245: @@
 &lt;/td&gt;
          &lt;td&gt;13\40&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 271: / Line 263: @@
 &lt;/td&gt;
          &lt;td&gt;12\37&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 291: / Line 281: @@
 &lt;/td&gt;
          &lt;td&gt;11\34&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 311: / Line 299: @@
 &lt;/td&gt;
          &lt;td&gt;10\31&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 324: / Line 310: @@
          &lt;td&gt;348.387&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;span style="text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt%20family"&gt;Würschmidt&lt;/a&gt;&lt;/span&gt;&lt;span style="text-align: center;"&gt; is around here&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;&lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/W%C3%BCrschmidt%20family"&gt;Würschmidt&lt;/a&gt; is around here&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 333: / Line 319: @@
 &lt;/td&gt;
          &lt;td&gt;19\59&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;386.441&lt;br /&gt;
@@ Line 351: / Line 335: @@
 &lt;/td&gt;
          &lt;td&gt;9\28&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 371: / Line 353: @@
 &lt;/td&gt;
          &lt;td&gt;8\25&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 393: / Line 373: @@
 &lt;/td&gt;
          &lt;td&gt;23\72&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;383.333&lt;br /&gt;
@@ Line 413: / Line 391: @@
 &lt;/td&gt;
          &lt;td&gt;15\47&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;382.988&lt;br /&gt;
@@ Line 431: / Line 407: @@
 &lt;/td&gt;
          &lt;td&gt;7\22&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 453: / Line 427: @@
 &lt;/td&gt;
          &lt;td&gt;13\41&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;380.488&lt;br /&gt;
@@ Line 464: / Line 436: @@
          &lt;td&gt;321.951&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;span style="text-align: center;"&gt;Magic is around here&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Magic is around here&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 473: / Line 445: @@
 &lt;/td&gt;
          &lt;td&gt;19\60&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;380.000&lt;br /&gt;
@@ Line 493: / Line 463: @@
 &lt;/td&gt;
          &lt;td&gt;25\79&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;379.747&lt;br /&gt;
@@ Line 511: / Line 479: @@
 &lt;/td&gt;
          &lt;td&gt;6\19&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 533: / Line 499: @@
 &lt;/td&gt;
          &lt;td&gt;11\35&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;377.143&lt;br /&gt;
@@ Line 553: / Line 517: @@
 &lt;/td&gt;
          &lt;td&gt;16\51&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;376.471&lt;br /&gt;
@@ Line 571: / Line 533: @@
 &lt;/td&gt;
          &lt;td&gt;5\16&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 584: / Line 544: @@
          &lt;td&gt;300.000&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;span style="text-align: center;"&gt;L/s = 4&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 4&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 593: / Line 553: @@
 &lt;/td&gt;
          &lt;td&gt;24\77&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;374.026&lt;br /&gt;
@@ Line 613: / Line 571: @@
 &lt;/td&gt;
          &lt;td&gt;19\61&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;373.7705&lt;br /&gt;
@@ Line 633: / Line 589: @@
 &lt;/td&gt;
          &lt;td&gt;14\45&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;373.333&lt;br /&gt;
@@ Line 653: / Line 607: @@
 &lt;/td&gt;
          &lt;td&gt;9\29&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;372.414&lt;br /&gt;
@@ Line 673: / Line 625: @@
 &lt;/td&gt;
          &lt;td&gt;13\42&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;371.429&lt;br /&gt;
@@ Line 688: / Line 638: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
@@ Line 710: / Line 658: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;4\13&lt;br /&gt;
+         &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;369.427&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;738.855&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1108.282&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;277.709&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 3*2^(1/75)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
          &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;4\13&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 724: / Line 688: @@
          &lt;td&gt;276.923&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;span style="text-align: center;"&gt;L/s = 3&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 3&lt;/span&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;369.0335&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;738.067&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1107.101&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;276.134&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;L/s = 3/2^(1/75)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 732: / Line 714: @@
          &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;19\62&lt;br /&gt;
+         &lt;td&gt;23\75&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;368.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;736.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;1104.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;272.000&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td&gt;19\62&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;367.742&lt;br /&gt;
@@ Line 753: / Line 751: @@
 &lt;/td&gt;
          &lt;td&gt;15\49&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;367.347&lt;br /&gt;
@@ Line 773: / Line 769: @@
 &lt;/td&gt;
          &lt;td&gt;11\36&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;366.667&lt;br /&gt;
@@ Line 793: / Line 787: @@
 &lt;/td&gt;
          &lt;td&gt;7\23&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;365.217&lt;br /&gt;
@@ Line 804: / Line 796: @@
          &lt;td&gt;260.870&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;span style="text-align: center;"&gt;Modi Sephiratorum (Kosmorsky)&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Modi Sephiratorum (Kosmorsky)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 813: / Line 805: @@
 &lt;/td&gt;
          &lt;td&gt;17\56&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;364.286&lt;br /&gt;
@@ Line 833: / Line 823: @@
 &lt;/td&gt;
          &lt;td&gt;10\33&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;363.636&lt;br /&gt;
@@ Line 853: / Line 841: @@
 &lt;/td&gt;
          &lt;td&gt;13\43&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;362.791&lt;br /&gt;
@@ Line 873: / Line 859: @@
 &lt;/td&gt;
          &lt;td&gt;16\53&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;362.264&lt;br /&gt;
@@ Line 893: / Line 877: @@
 &lt;/td&gt;
          &lt;td&gt;19\63&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;361.905&lt;br /&gt;
@@ Line 911: / Line 893: @@
 &lt;/td&gt;
          &lt;td&gt;3\10&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 924: / Line 904: @@
          &lt;td&gt;240.000&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;span style="text-align: center;"&gt;Boundary of propriety &lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Boundary of propriety&lt;/span&gt;&lt;span style="display: block; text-align: center;"&gt;(generators smaller than this are proper)&lt;/span&gt;&lt;br /&gt;
-&lt;span style="text-align: center;"&gt;(generators smaller than this are proper)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 934: / Line 913: @@
 &lt;/td&gt;
          &lt;td&gt;38\127&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;359.055&lt;br /&gt;
@@ Line 954: / Line 931: @@
 &lt;/td&gt;
          &lt;td&gt;35\117&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;358.974&lt;br /&gt;
@@ Line 974: / Line 949: @@
 &lt;/td&gt;
          &lt;td&gt;32\107&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;358.8785&lt;br /&gt;
@@ Line 994: / Line 967: @@
 &lt;/td&gt;
          &lt;td&gt;29\97&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;358.763&lt;br /&gt;
@@ Line 1,014: / Line 985: @@
 &lt;/td&gt;
          &lt;td&gt;26\87&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;358.621&lt;br /&gt;
@@ Line 1,034: / Line 1,003: @@
 &lt;/td&gt;
          &lt;td&gt;23\77&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;358.442&lt;br /&gt;
@@ Line 1,054: / Line 1,021: @@
 &lt;/td&gt;
          &lt;td&gt;20\67&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;358.209&lt;br /&gt;
@@ Line 1,074: / Line 1,039: @@
 &lt;/td&gt;
          &lt;td&gt;17\57&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;357.895&lt;br /&gt;
@@ Line 1,094: / Line 1,057: @@
 &lt;/td&gt;
          &lt;td&gt;14\47&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;357.447&lt;br /&gt;
@@ Line 1,114: / Line 1,075: @@
 &lt;/td&gt;
          &lt;td&gt;11\37&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;356.757&lt;br /&gt;
@@ Line 1,134: / Line 1,093: @@
 &lt;/td&gt;
          &lt;td&gt;8\27&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;355.556&lt;br /&gt;
@@ Line 1,145: / Line 1,102: @@
          &lt;td&gt;222.222&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;span style="text-align: center;"&gt;Beatles is around here&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Beatles is around here&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,154: / Line 1,111: @@
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;34\115&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;354.930&lt;br /&gt;
@@ Line 1,174: / Line 1,129: @@
 &lt;/td&gt;
          &lt;td&gt;21\71&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;354.783&lt;br /&gt;
@@ Line 1,194: / Line 1,147: @@
 &lt;/td&gt;
          &lt;td&gt;13\44&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;354.545&lt;br /&gt;
@@ Line 1,212: / Line 1,163: @@
 &lt;/td&gt;
          &lt;td&gt;5\17&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 1,225: / Line 1,174: @@
          &lt;td&gt;211.765&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;span style="text-align: center;"&gt;Optimum rank range (L/s=3/2)&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Optimum rank range (L/s=3/2)&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,234: / Line 1,183: @@
 &lt;/td&gt;
          &lt;td&gt;12\41&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;351.220&lt;br /&gt;
@@ Line 1,245: / Line 1,192: @@
          &lt;td&gt;204.878&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;span style="text-align: center;"&gt;2.3.11 neutral thirds scale is around here&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;2.3.11 neutral thirds scale is around here&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,252: / Line 1,199: @@
 &lt;/td&gt;
          &lt;td&gt;7\24&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 1,274: / Line 1,219: @@
 &lt;/td&gt;
          &lt;td&gt;16\55&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;349.091&lt;br /&gt;
@@ Line 1,292: / Line 1,235: @@
 &lt;/td&gt;
          &lt;td&gt;9\31&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 1,305: / Line 1,246: @@
          &lt;td&gt;193.548&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;&lt;span style="text-align: center;"&gt;Mohajira/dicot is around here&lt;/span&gt;&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;span style="display: block; text-align: center;"&gt;Mohajira/dicot is around here&lt;/span&gt;&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,312: / Line 1,253: @@
 &lt;/td&gt;
          &lt;td&gt;11\38&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;
@@ Line 1,330: / Line 1,269: @@
      &lt;tr&gt;
          &lt;td&gt;2\7&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td&gt;&lt;br /&gt;

3L 4s: Difference between revisions

Revision as of 23:33, 10 February 2015

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