10L 3s: Difference between revisions

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Wikispaces>JosephRuhf
**Imported revision 532960614 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 532965840 - Original comment: **
Line 1: Line 1:
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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>2014-11-27 18:42:54 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2014-11-27 19:50:37 UTC</tt>.<br>
: The original revision id was <tt>532960614</tt>.<br>
: The original revision id was <tt>532965840</tt>.<br>
: The revision comment was: <tt></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>
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.<br>
<h4>Original Wikitext content:</h4>
<h4>Original Wikitext content:</h4>
<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 chromatic scale of the Sephiroth temperament explicated on the page for [[3L 7s]]. However, a tempered-flat chain of the 13th harmonic really comes into its own as a distinct scale when extended to 13 tones. In these "Luach" modes the degrees are to be taken as numbered is descending order so that the the tempered 13th harmonic is fifth rather than tenth in the scale. This inverts the meaning of major and minor so that the Ionian-like mode reaches its degrees almost exclusively by backtracking.
<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 chromatic scale of the Sephiroth temperament explicated on the page for [[3L 7s]]. However, a tempered-flat chain of the 13th harmonic really comes into its own as a distinct scale when extended to 13 tones. In these "Luach" modes the degrees are to be taken as numbered is descending order so that the the tempered 13th harmonic is fifth rather than tenth in the scale. This inverts the meaning of major and minor so that the Ionian-like mode reaches its degrees almost exclusively by backtracking.
(Circle of fifths) (ascending scale)
||~ &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;(Circle of fifths)&lt;/span&gt; ||~ &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;(ascending scale)&lt;/span&gt; ||~  ||
|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X&lt;/span&gt; || L L L L s L L L s L L L s || &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;Mode Tishrei&lt;/span&gt; ||
|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X&lt;/span&gt; || L L L L s L L L s L L L s || &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;Mode Tishrei&lt;/span&gt; ||
|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;x-I&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;L L L s L L L s L L L s L&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Cheshvan&lt;/span&gt; ||
|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;x-I&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;L L L s L L L s L L L s L&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Cheshvan&lt;/span&gt; ||
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<h4>Original HTML content:</h4>
<h4>Original HTML content:</h4>
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;10L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This is the chromatic scale of the Sephiroth temperament explicated on the page for &lt;a class="wiki_link" href="/3L%207s"&gt;3L 7s&lt;/a&gt;. However, a tempered-flat chain of the 13th harmonic really comes into its own as a distinct scale when extended to 13 tones. In these &amp;quot;Luach&amp;quot; modes the degrees are to be taken as numbered is descending order so that the the tempered 13th harmonic is fifth rather than tenth in the scale. This inverts the meaning of major and minor so that the Ionian-like mode reaches its degrees almost exclusively by backtracking.&lt;br /&gt;
<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">&lt;html&gt;&lt;head&gt;&lt;title&gt;10L 3s&lt;/title&gt;&lt;/head&gt;&lt;body&gt;This is the chromatic scale of the Sephiroth temperament explicated on the page for &lt;a class="wiki_link" href="/3L%207s"&gt;3L 7s&lt;/a&gt;. However, a tempered-flat chain of the 13th harmonic really comes into its own as a distinct scale when extended to 13 tones. In these &amp;quot;Luach&amp;quot; modes the degrees are to be taken as numbered is descending order so that the the tempered 13th harmonic is fifth rather than tenth in the scale. This inverts the meaning of major and minor so that the Ionian-like mode reaches its degrees almost exclusively by backtracking.&lt;br /&gt;
(Circle of fifths) (ascending scale)&lt;br /&gt;




&lt;table class="wiki_table"&gt;
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;(Circle of fifths)&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;(ascending scale)&lt;/span&gt;&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X&lt;/span&gt;&lt;br /&gt;
         &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X&lt;/span&gt;&lt;br /&gt;

Revision as of 19:50, 27 November 2014

IMPORTED REVISION FROM WIKISPACES

This is an imported revision from Wikispaces. The revision metadata is included below for reference:

This revision was by author JosephRuhf and made on 2014-11-27 19:50:37 UTC.
The original revision id was 532965840.
The revision comment was:

The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.

Original Wikitext content:

This is the chromatic scale of the Sephiroth temperament explicated on the page for [[3L 7s]]. However, a tempered-flat chain of the 13th harmonic really comes into its own as a distinct scale when extended to 13 tones. In these "Luach" modes the degrees are to be taken as numbered is descending order so that the the tempered 13th harmonic is fifth rather than tenth in the scale. This inverts the meaning of major and minor so that the Ionian-like mode reaches its degrees almost exclusively by backtracking.
||~ <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">(Circle of fifths)</span> ||~ <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">(ascending scale)</span> ||~   ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X</span> || L L L L s L L L s L L L s || <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">Mode Tishrei</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">x-I</span><span style="font-size: 12.8000001907349px;">-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI</span> || <span style="font-size: 12.8000001907349px;">L L L s L L L s L L L s L</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Cheshvan</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II</span> || <span style="font-size: 12.8000001907349px;">L L s L L L s L L L s L L</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Kislev</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">ii-</span><span style="font-size: 12.8000001907349px;">vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI</span> || <span style="font-size: 12.8000001907349px;">L s L L L s L L L s L L L</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Tevet</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII</span> || <span style="font-size: 12.8000001907349px;">s L L L s L L L s L L L L</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Shvat</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">vii-</span><span style="font-size: 12.8000001907349px;">xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III</span> || <span style="font-size: 12.8000001907349px;">L L L s L L L s L L L L s</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Adar minor</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">iii-vii</span><span style="font-size: 12.8000001907349px;">-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII</span> || <span style="font-size: 12.8000001907349px;">L L s L L L s L L L L s L</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Adar major</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">xii-</span><span style="font-size: 12.8000001907349px;">iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII</span> || <span style="font-size: 12.8000001907349px;">L s L L L s L L L L s L L</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Nisan</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">viii-</span><span style="font-size: 12.8000001907349px;">xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV</span> || <span style="font-size: 12.8000001907349px;">s L L L s L L L L s L L L</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Iyar</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">iv-</span><span style="font-size: 12.8000001907349px;">viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII</span> || <span style="font-size: 12.8000001907349px;">L L L s L L L L s L L L s</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Sivan</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX</span> || <span style="font-size: 12.8000001907349px;">L L s L L L L s L L L s L</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Tammuz</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V</span> || <span style="font-size: 12.8000001907349px;">L s L L L L s L L L s L L</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Av</span> ||
|| <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">v-</span><span style="font-size: 12.8000001907349px;">ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I</span> || <span style="font-size: 12.8000001907349px;">s L L L L s L L L s L L L</span> || <span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Elul</span> ||

|| 3/10 ||   || 360 ||
|| 16/53 ||   || 362 14/53 ||
|| 13/43 ||   || 362 34/43 ||
|| 10/33 ||   || 363 9/11 ||
||   || 17/56 || 364 2/7 ||
|| 7/23 ||   || 365 5/23 ||
|| 11/36 ||   || 366 2/3 ||
|| 15/49 ||   || 367 17/49 ||
|| 19/62 ||   || 367 18/31 ||
|| 4/13 ||   || 369 3/13 ||

Original HTML content:

<html><head><title>10L 3s</title></head><body>This is the chromatic scale of the Sephiroth temperament explicated on the page for <a class="wiki_link" href="/3L%207s">3L 7s</a>. However, a tempered-flat chain of the 13th harmonic really comes into its own as a distinct scale when extended to 13 tones. In these &quot;Luach&quot; modes the degrees are to be taken as numbered is descending order so that the the tempered 13th harmonic is fifth rather than tenth in the scale. This inverts the meaning of major and minor so that the Ionian-like mode reaches its degrees almost exclusively by backtracking.<br />


<table class="wiki_table">
    <tr>
        <th><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">(Circle of fifths)</span><br />
</th>
        <th><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">(ascending scale)</span><br />
</th>
        <th><br />
</th>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X</span><br />
</td>
        <td>L L L L s L L L s L L L s<br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">Mode Tishrei</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">x-I</span><span style="font-size: 12.8000001907349px;">-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">L L L s L L L s L L L s L</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Cheshvan</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">L L s L L L s L L L s L L</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Kislev</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">ii-</span><span style="font-size: 12.8000001907349px;">vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">L s L L L s L L L s L L L</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Tevet</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">s L L L s L L L s L L L L</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Shvat</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">vii-</span><span style="font-size: 12.8000001907349px;">xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">L L L s L L L s L L L L s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Adar minor</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">iii-vii</span><span style="font-size: 12.8000001907349px;">-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">L L s L L L s L L L L s L</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Adar major</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">xii-</span><span style="font-size: 12.8000001907349px;">iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">L s L L L s L L L L s L L</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Nisan</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">viii-</span><span style="font-size: 12.8000001907349px;">xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">s L L L s L L L L s L L L</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Iyar</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">iv-</span><span style="font-size: 12.8000001907349px;">viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">L L L s L L L L s L L L s</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Sivan</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">L L s L L L L s L L L s L</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Tammuz</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">L s L L L L s L L L s L L</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Av</span><br />
</td>
    </tr>
    <tr>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">v-</span><span style="font-size: 12.8000001907349px;">ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px;">s L L L L s L L L s L L L</span><br />
</td>
        <td><span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;">Elul</span><br />
</td>
    </tr>
</table>

<br />


<table class="wiki_table">
    <tr>
        <td>3/10<br />
</td>
        <td><br />
</td>
        <td>360<br />
</td>
    </tr>
    <tr>
        <td>16/53<br />
</td>
        <td><br />
</td>
        <td>362 14/53<br />
</td>
    </tr>
    <tr>
        <td>13/43<br />
</td>
        <td><br />
</td>
        <td>362 34/43<br />
</td>
    </tr>
    <tr>
        <td>10/33<br />
</td>
        <td><br />
</td>
        <td>363 9/11<br />
</td>
    </tr>
    <tr>
        <td><br />
</td>
        <td>17/56<br />
</td>
        <td>364 2/7<br />
</td>
    </tr>
    <tr>
        <td>7/23<br />
</td>
        <td><br />
</td>
        <td>365 5/23<br />
</td>
    </tr>
    <tr>
        <td>11/36<br />
</td>
        <td><br />
</td>
        <td>366 2/3<br />
</td>
    </tr>
    <tr>
        <td>15/49<br />
</td>
        <td><br />
</td>
        <td>367 17/49<br />
</td>
    </tr>
    <tr>
        <td>19/62<br />
</td>
        <td><br />
</td>
        <td>367 18/31<br />
</td>
    </tr>
    <tr>
        <td>4/13<br />
</td>
        <td><br />
</td>
        <td>369 3/13<br />
</td>
    </tr>
</table>

</body></html>