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:

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 14:42:22 UTC</tt>.

: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 14:45:59 UTC</tt>.

: The original revision id was <tt>~~597493228~~</tt>.

: The original revision id was <tt>597493464</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.

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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 [[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.

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

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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 < [[tel/13 21 30 36 45 48|13 21 30 36 45 48]] |.)

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

||= ~~[[tel:2109375/2097152|2109375/2097152]]~~ ||< | -21 3 7 > ||> 10.06 ||= Semicomma ||= Fokker Comma ||= ||

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

||= 1029/1000 ||< | -3 1 -3 3 > ||> 49.49 ||= Keega ||= ||= ||

||= 525/512 ||< | -9 1 2 1 > ||> 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||= ||

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</tr>

<tr>

<td style="text-align: center;">~~[[tel:2109375/2097152|2109375/2097152]]~~

</td>

<td style="text-align: left;">| -21 3 7 &gt;

@@ 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:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 14:42:22 UTC</tt>.<br>
+: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 14:45:59 UTC</tt>.<br>
-: The original revision id was <tt>597493228</tt>.<br>
+: The original revision id was <tt>597493464</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 120: / Line 120: @@
 =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 [[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.
 || 1 || 6 || 11 || 3 || 8 || (13) || 5 || 10 || 2 || 7 || 12 || 4 || 9 || 1 || Place in Chain of 730 cent intervals ||
@@ Line 138: / Line 138: @@
 =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; [[tel/13 21 30 36 45 48|13 21 30 36 45 48]] |.)
 ||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
-||= [[tel:2109375/2097152|2109375/2097152]] ||&lt; | -21 3 7 &gt; ||&gt; 10.06 ||= Semicomma ||= Fokker Comma ||=   ||
+||=   ||&lt; | -21 3 7 &gt; ||&gt; 10.06 ||= Semicomma ||= Fokker Comma ||=   ||
 ||= 1029/1000 ||&lt; | -3 1 -3 3 &gt; ||&gt; 49.49 ||= Keega ||=   ||=   ||
 ||= 525/512 ||&lt; | -9 1 2 1 &gt; ||&gt; 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||=   ||
@@ Line 973: / Line 973: @@
      &lt;/tr&gt;
      &lt;tr&gt;
-         &lt;td style="text-align: center;"&gt;[[tel:2109375/2097152|2109375/2097152]]&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;&lt;br /&gt;
 &lt;/td&gt;
          &lt;td style="text-align: left;"&gt;| -21 3 7 &amp;gt;&lt;br /&gt;