User:Moremajorthanmajor/16edX: Difference between revisions

Revision as of 09:45, 14 December 2016

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This revision was by author JosephRuhf and made on 2016-12-14 09:45:49 UTC.

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Original Wikitext content:

This is the scale which occurs as the dominant major edX.

==Intervals== 
||~ Degrees ||~ Enneatonic ||~ Minimum ||~ ed(7/3) ||~ Mean/Median ||~ Golden ||~ Maximum ||
|| 1 || 1#/2b
F#/Gb || 90 || 91.679 || 97.5 || 99.2705 || 105 ||
|| 2 || 2
G || 180 || 183.358 || 195 || 198.541 || 210 ||
|| 3 || 2#/3b
G#/Hb || 270 || 275.038 || 292.5 || [[tel:297.8115|297.8115]]/1 || 315 ||
|| 4 || 3
H || 360 || 366.718 || 390 || 397.082 || 420 ||
|| 5 || 3#/4b
H#/Jb || 450 || 458.397 || 487.5 || [[tel:496.3525|496.3525]]/1 || 525 ||
|| 6 || 4
J || 540 || 550.077 || 585 || 595.623 || 630 ||
|| 7 || 5
A || 630 || 641.756 || 682.5 || 694.893 || 735 ||
|| 8 || 5#/6b
A#/Bb || 720 || [[tel:733.4355|733.4355]]/1 || 780 || 794.154 || 840 ||
|| 9 || 6
B || 810 || 825.115 || 877.5 || 893.435 || 945 ||
|| 10 || 6#/7b
B#/Cb || 900 || 916.794 || 975 || 992.705 || 1050 ||
|| 11 || 7
C || 990 || 1008.473 || 1072.5 || 1091.976 || 1155 ||
|| 12 || 7#/8b
C#/Db || 1080 || 1100.153 || 1170 || 1191.246 || 1260 ||
|| 13 || 8
D || 1170 || 1191.833 || 1267.5 || 1290.517 || 1365 ||
|| 14 || 8#/9b
D#/Eb || 1260 || 1283.512 || 1365 || 1389.787 || 1470 ||
|| 15 || 9
E || 1350 || 1375.1915 || 1462.5 || 1489.058 || 1575 ||
|| 16 || 1
F || 1440 || 1466.871 || 1560 || 1588.328 || 1680 ||

By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.596 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo, and tuning 4:3 pure creates an almost exact 43/74edo fifth.

Original HTML content:

<html><head><title>16edX</title></head><body>This is the scale which occurs as the dominant major edX.<br />
<br />
<!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intervals</h2>
 

<table class="wiki_table">
    <tr>
        <th>Degrees<br />
</th>
        <th>Enneatonic<br />
</th>
        <th>Minimum<br />
</th>
        <th>ed(7/3)<br />
</th>
        <th>Mean/Median<br />
</th>
        <th>Golden<br />
</th>
        <th>Maximum<br />
</th>
    </tr>
    <tr>
        <td>1<br />
</td>
        <td>1#/2b<br />
F#/Gb<br />
</td>
        <td>90<br />
</td>
        <td>91.679<br />
</td>
        <td>97.5<br />
</td>
        <td>99.2705<br />
</td>
        <td>105<br />
</td>
    </tr>
    <tr>
        <td>2<br />
</td>
        <td>2<br />
G<br />
</td>
        <td>180<br />
</td>
        <td>183.358<br />
</td>
        <td>195<br />
</td>
        <td>198.541<br />
</td>
        <td>210<br />
</td>
    </tr>
    <tr>
        <td>3<br />
</td>
        <td>2#/3b<br />
G#/Hb<br />
</td>
        <td>270<br />
</td>
        <td>275.038<br />
</td>
        <td>292.5<br />
</td>
        <td><a class="wiki_link" href="http://tel.wikispaces.com/297.8115">297.8115</a>/1<br />
</td>
        <td>315<br />
</td>
    </tr>
    <tr>
        <td>4<br />
</td>
        <td>3<br />
H<br />
</td>
        <td>360<br />
</td>
        <td>366.718<br />
</td>
        <td>390<br />
</td>
        <td>397.082<br />
</td>
        <td>420<br />
</td>
    </tr>
    <tr>
        <td>5<br />
</td>
        <td>3#/4b<br />
H#/Jb<br />
</td>
        <td>450<br />
</td>
        <td>458.397<br />
</td>
        <td>487.5<br />
</td>
        <td><a class="wiki_link" href="http://tel.wikispaces.com/496.3525">496.3525</a>/1<br />
</td>
        <td>525<br />
</td>
    </tr>
    <tr>
        <td>6<br />
</td>
        <td>4<br />
J<br />
</td>
        <td>540<br />
</td>
        <td>550.077<br />
</td>
        <td>585<br />
</td>
        <td>595.623<br />
</td>
        <td>630<br />
</td>
    </tr>
    <tr>
        <td>7<br />
</td>
        <td>5<br />
A<br />
</td>
        <td>630<br />
</td>
        <td>641.756<br />
</td>
        <td>682.5<br />
</td>
        <td>694.893<br />
</td>
        <td>735<br />
</td>
    </tr>
    <tr>
        <td>8<br />
</td>
        <td>5#/6b<br />
A#/Bb<br />
</td>
        <td>720<br />
</td>
        <td><a class="wiki_link" href="http://tel.wikispaces.com/733.4355">733.4355</a>/1<br />
</td>
        <td>780<br />
</td>
        <td>794.154<br />
</td>
        <td>840<br />
</td>
    </tr>
    <tr>
        <td>9<br />
</td>
        <td>6<br />
B<br />
</td>
        <td>810<br />
</td>
        <td>825.115<br />
</td>
        <td>877.5<br />
</td>
        <td>893.435<br />
</td>
        <td>945<br />
</td>
    </tr>
    <tr>
        <td>10<br />
</td>
        <td>6#/7b<br />
B#/Cb<br />
</td>
        <td>900<br />
</td>
        <td>916.794<br />
</td>
        <td>975<br />
</td>
        <td>992.705<br />
</td>
        <td>1050<br />
</td>
    </tr>
    <tr>
        <td>11<br />
</td>
        <td>7<br />
C<br />
</td>
        <td>990<br />
</td>
        <td>1008.473<br />
</td>
        <td>1072.5<br />
</td>
        <td>1091.976<br />
</td>
        <td>1155<br />
</td>
    </tr>
    <tr>
        <td>12<br />
</td>
        <td>7#/8b<br />
C#/Db<br />
</td>
        <td>1080<br />
</td>
        <td>1100.153<br />
</td>
        <td>1170<br />
</td>
        <td>1191.246<br />
</td>
        <td>1260<br />
</td>
    </tr>
    <tr>
        <td>13<br />
</td>
        <td>8<br />
D<br />
</td>
        <td>1170<br />
</td>
        <td>1191.833<br />
</td>
        <td>1267.5<br />
</td>
        <td>1290.517<br />
</td>
        <td>1365<br />
</td>
    </tr>
    <tr>
        <td>14<br />
</td>
        <td>8#/9b<br />
D#/Eb<br />
</td>
        <td>1260<br />
</td>
        <td>1283.512<br />
</td>
        <td>1365<br />
</td>
        <td>1389.787<br />
</td>
        <td>1470<br />
</td>
    </tr>
    <tr>
        <td>15<br />
</td>
        <td>9<br />
E<br />
</td>
        <td>1350<br />
</td>
        <td>1375.1915<br />
</td>
        <td>1462.5<br />
</td>
        <td>1489.058<br />
</td>
        <td>1575<br />
</td>
    </tr>
    <tr>
        <td>16<br />
</td>
        <td>1<br />
F<br />
</td>
        <td>1440<br />
</td>
        <td>1466.871<br />
</td>
        <td>1560<br />
</td>
        <td>1588.328<br />
</td>
        <td>1680<br />
</td>
    </tr>
</table>

<br />
By a surprising coincidence, neutral 16edX turns out to be a false Pelogic temperament with a very pure 5:4 (mistuned by no more than 3.596 cents), and tuning 5:3 pure creates a tenth almost exactly equal to 38/29edo, and tuning 4:3 pure creates an almost exact 43/74edo fifth.</body></html>

User:Moremajorthanmajor/16edX: Difference between revisions

Revision as of 09:45, 14 December 2016

IMPORTED REVISION FROM WIKISPACES

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