10L 3s: Difference between revisions

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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: ~~

~~: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-23 22:38:56 UTC</tt>. ~~

~~: The original revision id was <tt>551986252</tt>. ~~

~~: The revision comment was: <tt></tt> ~~

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

~~<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.

||~ (Circle of fifths) ||~ (ascending scale) ||~ ||

|| I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X || L L L L s L L L s L L L s || Mode Tishrei ||

|| x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI || L L L s L L L s L L L s L || Cheshvan ||

|| vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II || L L s L L L s L L L s L L || Kislev ||

|| ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI || L s L L L s L L L s L L L || Tevet ||

|| xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII || s L L L s L L L s L L L L || Shvat ||

|| vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III || L L L s L L L s L L L L s || Adar minor ||

|| iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII || L L s L L L s L L L L s L || Adar major ||

|| xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII || L s L L L s L L L L s L L || Nisan ||

|| viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV || s L L L s L L L L s L L L || Iyar ||

|| iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII || L L L s L L L L s L L L s || Sivan ||

|| xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX || L L s L L L L s L L L s L || Tammuz ||

|| ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V || L s L L L L s L L L s L L || Av ||

|| v-ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I || s L L L L s L L L s L L L || Elul ||

~~|| 3/10 || || 360 ||~~

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" (Hebrew calendar) modes the degrees are to be taken as numbered in 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.

~~|| 16/53 || || 362 14/53 ||~~

~~|| 13/43 || || 362 34/43 ||~~

~~|| || || 363.486758 ||~~

~~|| 10/33 || || 363 9/11 ||~~

~~|| || || 363.975772 ||~~

~~|| || 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 ||</pre></div>~~

~~<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"><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.~~ ~~

'''Luachoid''' is a proposed name for this scale.

~~<table class~~=~~"wiki_table">~~

== Modes ==

~~<tr>~~

=== Proposed names ===

~~<th>(Circle of fifths) ~~

Names based on the [[wikipedia:Hebrew_calendar|Hebrew calendar]] have been proposed as mode names.

~~</th>~~

{{MOS modes|Mode Names=Tishrei; Sivan; Adar minor; Cheshvan; Tammuz; Adar major; Kislev; Av; Nisan; Tevet; Elul; Iyar; Shvat}}

~~<th>(ascending scale) ~~

~~</th>~~

~~<th> ~~

~~</th>~~

~~</tr>~~

~~<tr>~~

~~<td>I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI-X ~~

~~</td>~~

~~<td>L L L L s L L L s L L L s ~~

~~</td>~~

~~<td>Mode Tishrei ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II-VI ~~

~~</td>~~

~~<td>L L L s L L L s L L L s L ~~

~~</td>~~

~~<td>Cheshvan ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II ~~

~~</td>~~

~~<td>L L s L L L s L L L s L L ~~

~~</td>~~

~~<td>Kislev ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

<td>ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI

~~</td>~~

~~<td>L s L L L s L L L s L L L ~~

~~</td>~~

~~<td>Tevet ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII ~~

~~</td>~~

~~<td>s L L L s L L L s L L L L ~~

~~</td>~~

~~<td>Shvat ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

<td>vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III

~~</td>~~

~~<td>L L L s L L L s L L L L s ~~

~~</td>~~

~~<td>~~

~~</td>~~

~~</tr>~~

~~<tr>~~

<td>iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII

~~</td>~~

~~<td>L L s L L L s L L L L s L ~~

~~</td>~~

~~<td>~~

~~</td>~~

~~</tr>~~

~~<tr>~~

<td>xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII

~~</td>~~

~~<td>L s L L L s L L L L s L L ~~

~~</td>~~

~~<td>~~

~~</td>~~

~~</tr>~~

~~<tr>~~

<td>viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV

~~</td>~~

~~<td>s L L L s L L L L s L L L ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

<td>iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII

~~</td>~~

~~<td>L L L s L L L L s L L L s ~~

~~</td>~~

~~<td>Sivan ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX ~~

~~</td>~~

~~<td>L L s L L L L s L L L s L ~~

~~</td>~~

~~<td>Tammuz ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V ~~

~~</td>~~

~~<td>L s L L L L s L L L s L L ~~

~~</td>~~

~~<td>Av ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

<td>v-ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I

~~</td>~~

~~<td>s L L L L s L L L s L L L ~~

~~</td>~~

~~<td>Elul ~~

~~</td>~~

~~</tr>~~

~~</table&gt~~;

~~ ~~

=== Degrees ===

== Intervals ==

~~<table class~~=~~"wiki_table">~~

== Scale tree ==

~~<tr>~~

~~<td>3/10 ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~<td>360 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>16/53 ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~<td>362 14/53 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>13/43 ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~<td>362 34/43 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td> ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~<td>363.486758 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>10/33 ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~<td>363 9/11 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td> ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~<td>363.975772 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td> ~~

~~</td>~~

~~<td>17/56 ~~

~~</td>~~

~~<td>364 2/7 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>7/23 ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~<td>365 5/23 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>11/36 ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~<td>366 2/3 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>15/49 ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~<td>367 17/49 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>19/62 ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~<td>367 18/31 ~~

~~</td>~~

~~</tr>~~

~~<tr>~~

~~<td>4/13 ~~

~~</td>~~

~~<td> ~~

~~</td>~~

~~<td>369 3/13 ~~

~~</td>~~

~~</tr>~~

~~</table>~~

~~</body></html></pre></div>~~

[[Category:13-tone scales]]

@@ Line 1: / Line 1: @@
-<h2>IMPORTED REVISION FROM WIKISPACES</h2>
+{{Infobox MOS}}
-This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
+{{MOS intro}}
-: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-05-23 22:38:56 UTC</tt>.<br>
-: The original revision id was <tt>551986252</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>
-<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.
-||~ &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;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: 15.3600006103516px;"&gt;vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;L L s L L L s L L L s L L&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Kislev&lt;/span&gt; ||
-|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;ii-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;L s L L L s L L L s L L L&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Tevet&lt;/span&gt; ||
-|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;s L L L s L L L s L L L L&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Shvat&lt;/span&gt; ||
-|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;vii-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;L L L s L L L s L L L L s&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Adar minor&lt;/span&gt; ||
-|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;iii-vii&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;L L s L L L s L L L L s L&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Adar major&lt;/span&gt; ||
-|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;xii-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;L s L L L s L L L L s L L&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Nisan&lt;/span&gt; ||
-|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;viii-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;s L L L s L L L L s L L L&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Iyar&lt;/span&gt; ||
-|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;iv-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;L L L s L L L L s L L L s&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Sivan&lt;/span&gt; ||
-|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;L L s L L L L s L L L s L&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Tammuz&lt;/span&gt; ||
-|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;L s L L L L s L L L s L L&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Av&lt;/span&gt; ||
-|| &lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;v-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px;"&gt;s L L L L s L L L s L L L&lt;/span&gt; || &lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Elul&lt;/span&gt; ||
-|| 3/10 ||   || 360 ||
+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" (Hebrew calendar) modes the degrees are to be taken as numbered in 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.
-|| 16/53 ||   || 362 14/53 ||
-|| 13/43 ||   || 362 34/43 ||
-||   ||   || 363.486758 ||
-|| 10/33 ||   || 363 9/11 ||
-||   ||   || 363.975772 ||
-||   || 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 ||</pre></div>
-<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;
+'''Luachoid''' is a proposed name for this scale.
-&lt;table class="wiki_table"&gt;
+== Modes ==
-    &lt;tr&gt;
+=== Proposed names ===
-        &lt;th&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;(Circle of fifths)&lt;/span&gt;&lt;br /&gt;
+Names based on the [[wikipedia:Hebrew_calendar|Hebrew calendar]] have been proposed as mode names.
-&lt;/th&gt;
+{{MOS modes|Mode Names=Tishrei; Sivan; Adar minor; Cheshvan; Tammuz; Adar major; Kislev; Av; Nisan; Tevet; Elul; Iyar; Shvat}}
-        &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;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;td&gt;L L L L s L L L s L L L s&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;Mode Tishrei&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&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;br /&gt;
-&lt;/td&gt;
-        &lt;td&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;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Cheshvan&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI-II&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;L L s L L L s L L L s L L&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Kislev&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;ii-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII-XI&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;L s L L L s L L L s L L L&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Tevet&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III-VII&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;s L L L s L L L s L L L L&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Shvat&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;vii-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII-III&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;L L L s L L L s L L L L s&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Adar minor&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;iii-vii&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;-xi-ii-vi-x-I-V-IX-XIII-IV-VIII-XII&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;L L s L L L s L L L L s L&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Adar major&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;xii-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV-VIII&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;L s L L L s L L L L s L L&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Nisan&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;viii-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII-IV&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;s L L L s L L L L s L L L&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Iyar&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;iv-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;viii-xii-iii-vii-xi-ii-vi-x-I-V-IX-XIII&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;L L L s L L L L s L L L s&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Sivan&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V-IX&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;L L s L L L L s L L L s L&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Tammuz&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I-V&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;L s L L L L s L L L s L L&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Av&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;"&gt;v-&lt;/span&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;ix-xiii-iv-viii-xii-iii-vii-xi-ii-vi-x-I&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px;"&gt;s L L L L s L L L s L L L&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;span style="font-size: 12.8000001907349px; line-height: 15.3600006103516px;"&gt;Elul&lt;/span&gt;&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-&lt;/table&gt;
-&lt;br /&gt;
+=== Degrees ===
+{{MOS mode degrees}}
+== Intervals ==
+{{MOS intervals}}
-&lt;table class="wiki_table"&gt;
+== Scale tree ==
-    &lt;tr&gt;
+{{MOS tuning spectrum}}
-        &lt;td&gt;3/10&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;360&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&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 14/53&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&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 34/43&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;363.486758&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&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 9/11&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;363.975772&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;17/56&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;364 2/7&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&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 5/23&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&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 2/3&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&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 17/49&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;19/62&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;367 18/31&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-    &lt;tr&gt;
-        &lt;td&gt;4/13&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;&lt;br /&gt;
-&lt;/td&gt;
-        &lt;td&gt;369 3/13&lt;br /&gt;
-&lt;/td&gt;
-    &lt;/tr&gt;
-&lt;/table&gt;
-&lt;/body&gt;&lt;/html&gt;</pre></div>
+[[Category:13-tone scales]]