13edo: 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:<br>

: This revision was by author [[User:~~TallKite~~|~~TallKite~~]] and made on <tt>2016-11-~~21 03~~:46:26 UTC</tt>.<br>

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-04 06:53:53 UTC</tt>.<br>

: The original revision id was <tt>~~599945642~~</tt>.<br>

: The original revision id was <tt>601321348</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>

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=Mapping to Standard Keyboards=

The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 ~~[[tel/~~8 (13) 5 10 2 7 12 4 9 1~~|8 (13) 5 10 2 7 12 4 9~~ 1]]. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.

The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 8 (13) 5 10 2 7 12 4 9 1/1. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.

|| 1 || 6 || 11 || 3 || 8 || (13) || 5 || 10 || 2 || 7 || 12 || 4 || 9 || 1 || Place in Chain of ~~730~~ cent intervals ||

|| 1 || 6 || 11 || 3 || 8 || (13) || 5 || 10 || 2 || 7 || 12 || 4 || 9 || 1 || Place in Chain of 738.5 cent intervals ||

|| X || * || || * || * || || * || || * || * || || * || || X || Marked are the octatonic scales (X=Sarnathian) ||

|| || * || || * || * || || * || || X || * || || * || * || || ||

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=Commas=

13 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the val < ~~[[tel/~~13 21 30 36 45 48~~|13 21 30 36 45 48]]~~ |.)

13 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the val < 13 21 30 36 45 48/1 |.)

||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||

||= ||< | -21 3 7 > ||> 10.06 ||= Semicomma ||= Fokker Comma ||= ||

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<br />

<h1 id="toc10"><a name="Mapping to Standard Keyboards"></a>Mapping to Standard Keyboards</h1>

The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 ~~<a class="wiki_link" href="http://tel.wikispaces.com/8%20%2813%29%205%2010%202%207%2012%204%209%201">~~8 (13) 5 10 2 7 12 4 9 1~~<~~/~~a>~~. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.<br />

The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 8 (13) 5 10 2 7 12 4 9 1/1. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.<br />

<br />

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</td>

<td>Place in Chain of ~~730~~ cent intervals<br />

<td>Place in Chain of 738.5 cent intervals<br />

</td>

</tr>

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<br />

<h1 id="toc11"><a name="Commas"></a>Commas</h1>

13 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the val &lt~~; <a class="wiki_link" href="http://tel.wikispaces.com/13%2021%2030%2036%2045%2048"&gt~~;13 21 30 36 45 48~~<~~/~~a>~~ |.)<br />

13 EDO <a class="wiki_link" href="/tempering%20out">tempers out</a> the following <a class="wiki_link" href="/comma">comma</a>s. (Note: This assumes the val &lt; 13 21 30 36 45 48/1 |.)<br />

@@ Line 1: / Line 1: @@
 <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:TallKite|TallKite]] and made on <tt>2016-11-21 03:46:26 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-12-04 06:53:53 UTC</tt>.<br>
-: The original revision id was <tt>599945642</tt>.<br>
+: The original revision id was <tt>601321348</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 123: / Line 123: @@
 =Mapping to Standard Keyboards=
-The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 [[tel/8 (13) 5 10 2 7 12 4 9 1|8 (13) 5 10 2 7 12 4 9 1]]. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.
+The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 8 (13) 5 10 2 7 12 4 9 1/1. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.
-|| 1 || 6 || 11 || 3 || 8 || (13) || 5 || 10 || 2 || 7 || 12 || 4 || 9 || 1 || Place in Chain of 730 cent intervals ||
+|| 1 || 6 || 11 || 3 || 8 || (13) || 5 || 10 || 2 || 7 || 12 || 4 || 9 || 1 || Place in Chain of 738.5 cent intervals ||
 || X || * ||   || * || * ||   || * ||   || * || * ||   || * ||   || X || Marked are the octatonic scales (X=Sarnathian) ||
 ||   || * ||   || * || * ||   || * ||   || X || * ||   || * || * ||   ||   ||
@@ Line 141: / Line 141: @@
 =Commas=
-EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the val &lt; [[tel/13 21 30 36 45 48|13 21 30 36 45 48]] |.)
+EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the val &lt; 13 21 30 36 45 48/1 |.)
 ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
 ||=   ||&lt; | -21 3 7 &gt; ||&gt; 10.06 ||= Semicomma ||= Fokker Comma ||=   ||
@@ Line 565: / Line 565: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:29:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc10"&gt;&lt;a name="Mapping to Standard Keyboards"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:29 --&gt;Mapping to Standard Keyboards&lt;/h1&gt;
-  The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 &lt;a class="wiki_link" href="http://tel.wikispaces.com/8%20%2813%29%205%2010%202%207%2012%204%209%201"&gt;8 (13) 5 10 2 7 12 4 9 1&lt;/a&gt;. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.&lt;br /&gt;
+  The 5L+3s scale (Oneirotonic) can be mapped to the standard keyboard effectively, although somewhat awkwardly. Consider the sequence of 730-cent intervals that it derives from: 1 6 11 3 8 (13) 5 10 2 7 12 4 9 1/1. One of these must be absent, so it might as well be the last. So, there are at most five of the full octatonic scales on different keys. Of the four mappings that keep the major pentatonic on the white keys, which ironically look like ordinary minor-pentatonics, the latter which begins on B might be the most straightforward to learn and use.&lt;br /&gt;
 &lt;br /&gt;
@@ Line 599: / Line 599: @@
          &lt;td&gt;1&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td&gt;Place in Chain of 730 cent intervals&lt;br /&gt;
+         &lt;td&gt;Place in Chain of 738.5 cent intervals&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 960: / Line 960: @@
 &lt;br /&gt;
 &lt;!-- ws:start:WikiTextHeadingRule:31:&amp;lt;h1&amp;gt; --&gt;&lt;h1 id="toc11"&gt;&lt;a name="Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:31 --&gt;Commas&lt;/h1&gt;
-EDO &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; the following &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;s. (Note: This assumes the val &amp;lt; &lt;a class="wiki_link" href="http://tel.wikispaces.com/13%2021%2030%2036%2045%2048"&gt;13 21 30 36 45 48&lt;/a&gt; |.)&lt;br /&gt;
+EDO &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; the following &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;s. (Note: This assumes the val &amp;lt; 13 21 30 36 45 48/1 |.)&lt;br /&gt;