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| <h2>IMPORTED REVISION FROM WIKISPACES</h2>
| | '''15edX''' is the scale which occurs as the dominant minor edX (equal division of a tenth interval). It also gives the period of the 15th-decade Alfincavallo branch of the Carrera temperament family. |
| This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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| : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-12 10:58:03 UTC</tt>.<br>
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| : The original revision id was <tt>601980492</tt>.<br>
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| : The revision comment was: <tt></tt><br>
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| The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
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| <h4>Original Wikitext content:</h4>
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| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;white-space: pre-wrap ! important" class="old-revision-html">This is the scale which occurs as the dominant minor edX.
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| ==Intervals== | | == Intervals == |
| ||~ Degrees ||~ Enneatonic ||~ Minimum ||~ ed(7/3) ||~ Mean/Median ||~ Golden ||~ Maximum || | | {| class="wikitable" |
| || 1 || G#/Hb || 96 || 97.791 || 104 || 105.8885/1 || 112 || | | |+ |
| || 2 || H || 192 || 195.582 || 208 || 211.777 || 224 || | | !Decade |
| || 3 || H#/Jb || 288 || 293.374 || 312 || 317.666 || 336 || | | !Period |
| || 4 || J || 384 || 391.166 || 416 || 423.554 || 448 || | | !Notes |
| || 5 || A || 480 || 488.957 || 520 || 529.443 || 560 || | | |- |
| || 6 || A#/Bb || 576 || 586.748 || 624 || 635.331 || 672 || | | |6\5 |
| || 7 || B || 672 || 684.54 || 728 || 741.22 || 784 || | | |96.000 |
| || 8 || B#/Cb || 768 || 782.331 || 832 || 847.108 || 896 || | | |Intense Aeolian-Subpental Dorian mode begins |
| || 9 || C || 864 || 880.1225/1 || 936 || 952.997 || 1008 || | | |- |
| || 10 || D || 960 || 977.913 || 1040 || 1058.885 || 1120 || | | |17\14 |
| || 11 || D#/Eb || 1056 || 1075.705 || 1144 || 1164.774 || 1232 || | | |97.143 |
| || 12 || E || 1152 || 1173.497 || 1248 || 1270.6625 || 1344 || | | | |
| || 13 || E#/Fb || 1248 || 1271.288 || 1352 || 1376.551 || 1456 || | | |- |
| || 14 || F || 1344 || 1369.0795 || 1456 || 1482.44 || 1568 ||</pre></div> | | |11\9 |
| <h4>Original HTML content:</h4>
| | |97.778 |
| <div style="width:100%; max-height:400pt; overflow:auto; background-color:#f8f9fa; border: 1px solid #eaecf0; padding:0em"><pre style="margin:0px;border:none;background:none;word-wrap:break-word;width:200%;white-space: pre-wrap ! important" class="old-revision-html"><html><head><title>15edX</title></head><body>This is the scale which occurs as the dominant minor edX.<br />
| | |Intense Aeolian-Subpental Dorian mode ends, Subpental Dorian mode begins |
| <br />
| | |- |
| <!-- ws:start:WikiTextHeadingRule:0:&lt;h2&gt; --><h2 id="toc0"><a name="x-Intervals"></a><!-- ws:end:WikiTextHeadingRule:0 -->Intervals</h2>
| | |16\13 |
|
| | |98.462 |
| | | |
| | |- |
| | |21\17 |
| | |98.824 |
| | | |
| | |- |
| | |26\21 |
| | |99.048 |
| | | |
| | |- |
| | |5\4 |
| | |100.000 |
| | |Subpental Dorian mode ends, Pental Dorian mode begins |
| | |- |
| | |19\15 |
| | |101.333 |
| | | |
| | |- |
| | |14\11 |
| | |101.818 |
| | |Pental Dorian mode ends, Superpental Dorian mode begins |
| | |- |
| | |23\18 |
| | |102.222 |
| | | |
| | |- |
| | |9\7 |
| | |102.857 |
| | |Superpental Dorian mode ends, Mohajira Dorian-Mixolydian mode begins |
| | |- |
| | |31\24 |
| | |103.333 |
| | | |
| | |- |
| | |22\17 |
| | |103.529 |
| | |Mohajira Dorian-Mixolydian mode ends, Beatles Dorian-Mixolydian mode begins |
| | |- |
| | |35\27 |
| | |103.704 |
| | | |
| | |- |
| | |13\10 |
| | |104.000 |
| | |Beatles Dorian-Mixolydian mode ends, Subpental Mixolydian mode begins |
| | |- |
| | |17\13 |
| | |104.615 |
| | | |
| | |- |
| | |21\16 |
| | |105.000 |
| | |Subpental Mixolydian mode ends, Pental Mixolydian mode begins |
| | |- |
| | |25\19 |
| | |105.263 |
| | | |
| | |- |
| | |4\3 |
| | |106.667 |
| | |Pental Mixolydian mode ends, Soft Superpental Mixolydian mode begins |
| | |- |
| | |31\23 |
| | |107.826 |
| | | |
| | |- |
| | |27\20 |
| | |108.000 |
| | | |
| | |- |
| | |23\17 |
| | |108.235 |
| | | |
| | |- |
| | |19\14 |
| | |108.571 |
| | | |
| | |- |
| | |15\11 |
| | |109.091 |
| | |Soft Superpental Mixolydian mode ends, Intense Superpental Mixolydian mode begins |
| | |- |
| | |26\19 |
| | |109.474 |
| | | |
| | |- |
| | |11\8 |
| | |110.000 |
| | |Intense Superpental Mixolydian mode ends, Mixolydian-Ionian mode begins |
| | |- |
| | |18\13 |
| | |110.769 |
| | | |
| | |- |
| | |25\18 |
| | |111.111 |
| | | |
| | |- |
| | |7\5 |
| | |112.500 |
| | |Mixolydian-Ionian mode ends |
| | |} |
| | Relative cents |
| | {| class="wikitable" style="text-align: center" |
| | !Degrees |
| | ! colspan="2" |Enneatonic |
| | !Intense Aeolian-Subpental Dorian |
| | !Dorian |
| | !Dorian-Mixolydian |
| | !Subpental-Soft Superpental Mixolydian |
| | !Intense Superpental Mixolydian ~ Mixolydian-Ionian |
| | |- |
| | | |1 |
| | |G#/Jb |
| | |''G#/Ab'' |
| | |96.{{Overline|6}} |
| | |100 |
| | |103.{{Overline|3}} |
| | |106.{{Overline|6}} |
| | |110 |
| | |- |
| | | |2 |
| | |J |
| | |''A'' |
| | |193.{{Overline|3}} |
| | |200 |
| | |206.{{Overline|6}} |
| | |213.{{Overline|3}} |
| | |220 |
| | |- |
| | | |3 |
| | |J#/Ab |
| | |''A#/Bb'' |
| | |290 |
| | |300 |
| | |310 |
| | |320 |
| | |330 |
| | |- |
| | | |4 |
| | |A |
| | |''B'' |
| | |386.{{Overline|6}} |
| | |400 |
| | |413.{{Overline|3}} |
| | |426.{{Overline|6}} |
| | |440 |
| | |- |
| | | |5 |
| | |B |
| | |''C'' |
| | |483.{{Overline|3}} |
| | |500 |
| | |516.{{Overline|6}} |
| | |533.{{Overline|3}} |
| | |550 |
| | |- |
| | | |6 |
| | |B#/Cb |
| | |''C#/Qb'' |
| | |580 |
| | |600 |
| | |620 |
| | |640 |
| | |660 |
| | |- |
| | | |7 |
| | |C |
| | |''Q'' |
| | |676.{{Overline|6}} |
| | |700 |
| | |723.{{Overline|3}} |
| | |746.{{Overline|6}} |
| | |770 |
| | |- |
| | |8 |
| | |C#/Qb |
| | |''Q#/Db'' |
| | |773.{{Overline|3}} |
| | |800 |
| | |826.{{Overline|6}} |
| | |853.{{Overline|3}} |
| | |880 |
| | |- |
| | |9 |
| | |Q |
| | |''D'' |
| | |870 |
| | |900 |
| | |930 |
| | |960 |
| | |990 |
| | |- |
| | |10 |
| | |D |
| | |''S'' |
| | |966.{{Overline|6}} |
| | |1000 |
| | |1033.{{Overline|3}} |
| | |1066.{{Overline|6}} |
| | |1100 |
| | |- |
| | |11 |
| | |D#/Eb |
| | |''S#/Eb'' |
| | |1063.{{Overline|3}} |
| | |1100 |
| | |1136.{{Overline|6}} |
| | |1173.{{Overline|3}} |
| | |1210 |
| | |- |
| | |12 |
| | | colspan="2" |E |
| | |1160 |
| | |1200 |
| | |1240 |
| | |1280 |
| | |1320 |
| | |- |
| | |13 |
| | | colspan="2" |E#/Fb |
| | |1256.{{Overline|6}} |
| | |1300 |
| | |1343.{{Overline|3}} |
| | |1386.{{Overline|6}} |
| | |1430 |
| | |- |
| | |14 |
| | | colspan="2" |F |
| | |1353.{{Overline|3}} |
| | |1400 |
| | |1446.{{Overline|6}} |
| | |1493.{{Overline|3}} |
| | |1540 |
| | |- |
| | |15 |
| | | colspan="2" |G |
| | |1450 |
| | |1500 |
| | |1550 |
| | |1600 |
| | |1650 |
| | |} |
|
| |
|
| <table class="wiki_table">
| | By a surprising coincidence, the 15ed of the Pyrite tenth (7φ+6)\(5φ^2)edo is almost exactly every third degree of [[34edo]]. Additionally, those of the modal Golden and Pyrite tenths are almost exactly +1/28-syntonic comma 4ed(5/4) (Intense Aeolian-Subpental Dorian), [[9ed5/3|9ed(5/3)]]/equal multiples of 18/17 (Subpental Dorian), 13ed(15/7) (Pental Dorian), 2ed(9/8) (Superpental Dorian), -1/12-syntonic comma 3ed(6/5) (Dorian-Mixolydian), 14ed(7/3)/equal multiples of 17/16/100π\3 cents (Subpental Mixolydian), 3ed(6/5) (Pental Mixolydian), 4ed(9/7)/+1/36-syntonic comma 14ed(12/5) (Soft Superpental Mixolydian), 12ed(32/15) (Intense Superpental Mixolydian) and 8ed(5/3)/-1/9 schismic 9ed(16/9)/14ed(22/9) (Mixolydian-Ionian) respectively. |
| <tr>
| | == See also == |
| <th>Degrees<br />
| | * [[15ed5/2]] - equal division of the classic major tenth |
| </th>
| | * [[15ed7/3]] - equal division of the septimal minor tenth |
| <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>G#/Hb<br />
| |
| </td>
| |
| <td>96<br />
| |
| </td>
| |
| <td>97.791<br />
| |
| </td>
| |
| <td>104<br />
| |
| </td>
| |
| <td>105.8885/1<br />
| |
| </td>
| |
| <td>112<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>2<br />
| |
| </td>
| |
| <td>H<br />
| |
| </td>
| |
| <td>192<br />
| |
| </td>
| |
| <td>195.582<br />
| |
| </td>
| |
| <td>208<br />
| |
| </td>
| |
| <td>211.777<br />
| |
| </td>
| |
| <td>224<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>3<br />
| |
| </td>
| |
| <td>H#/Jb<br />
| |
| </td>
| |
| <td>288<br />
| |
| </td>
| |
| <td>293.374<br />
| |
| </td>
| |
| <td>312<br />
| |
| </td>
| |
| <td>317.666<br />
| |
| </td>
| |
| <td>336<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>4<br />
| |
| </td>
| |
| <td>J<br />
| |
| </td>
| |
| <td>384<br />
| |
| </td>
| |
| <td>391.166<br />
| |
| </td>
| |
| <td>416<br />
| |
| </td>
| |
| <td>423.554<br />
| |
| </td>
| |
| <td>448<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>5<br />
| |
| </td>
| |
| <td>A<br />
| |
| </td>
| |
| <td>480<br />
| |
| </td>
| |
| <td>488.957<br />
| |
| </td>
| |
| <td>520<br />
| |
| </td>
| |
| <td>529.443<br />
| |
| </td>
| |
| <td>560<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>6<br />
| |
| </td>
| |
| <td>A#/Bb<br />
| |
| </td>
| |
| <td>576<br />
| |
| </td>
| |
| <td>586.748<br />
| |
| </td>
| |
| <td>624<br />
| |
| </td>
| |
| <td>635.331<br />
| |
| </td>
| |
| <td>672<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>7<br />
| |
| </td>
| |
| <td>B<br />
| |
| </td>
| |
| <td>672<br />
| |
| </td>
| |
| <td>684.54<br />
| |
| </td>
| |
| <td>728<br />
| |
| </td>
| |
| <td>741.22<br />
| |
| </td>
| |
| <td>784<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>8<br />
| |
| </td>
| |
| <td>B#/Cb<br />
| |
| </td>
| |
| <td>768<br />
| |
| </td>
| |
| <td>782.331<br />
| |
| </td>
| |
| <td>832<br />
| |
| </td>
| |
| <td>847.108<br />
| |
| </td>
| |
| <td>896<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>9<br />
| |
| </td>
| |
| <td>C<br />
| |
| </td>
| |
| <td>864<br />
| |
| </td>
| |
| <td>880.1225/1<br />
| |
| </td>
| |
| <td>936<br />
| |
| </td>
| |
| <td>952.997<br />
| |
| </td>
| |
| <td>1008<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>10<br />
| |
| </td>
| |
| <td>D<br />
| |
| </td>
| |
| <td>960<br />
| |
| </td>
| |
| <td>977.913<br />
| |
| </td>
| |
| <td>1040<br />
| |
| </td>
| |
| <td>1058.885<br />
| |
| </td>
| |
| <td>1120<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>11<br />
| |
| </td>
| |
| <td>D#/Eb<br />
| |
| </td>
| |
| <td>1056<br />
| |
| </td>
| |
| <td>1075.705<br />
| |
| </td>
| |
| <td>1144<br />
| |
| </td>
| |
| <td>1164.774<br />
| |
| </td>
| |
| <td>1232<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>12<br />
| |
| </td>
| |
| <td>E<br />
| |
| </td>
| |
| <td>1152<br />
| |
| </td>
| |
| <td>1173.497<br />
| |
| </td>
| |
| <td>1248<br />
| |
| </td>
| |
| <td>1270.6625<br />
| |
| </td>
| |
| <td>1344<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>13<br />
| |
| </td>
| |
| <td>E#/Fb<br />
| |
| </td>
| |
| <td>1248<br />
| |
| </td>
| |
| <td>1271.288<br />
| |
| </td>
| |
| <td>1352<br />
| |
| </td>
| |
| <td>1376.551<br />
| |
| </td>
| |
| <td>1456<br />
| |
| </td>
| |
| </tr>
| |
| <tr>
| |
| <td>14<br />
| |
| </td>
| |
| <td>F<br />
| |
| </td>
| |
| <td>1344<br />
| |
| </td>
| |
| <td>1369.0795<br />
| |
| </td>
| |
| <td>1456<br />
| |
| </td>
| |
| <td>1482.44<br />
| |
| </td>
| |
| <td>1568<br />
| |
| </td>
| |
| </tr>
| |
| </table>
| |
|
| |
|
| </body></html></pre></div>
| | [[Category:15-tone scales]] |
| | [[Category:EdX]] |