46edo: 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:TallKite|TallKite]] and made on <tt>2017-11-11 17:18:36 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-11 17:33:05 UTC</tt>.

: The original revision id was <tt>~~621459301~~</tt>.

: The original revision id was <tt>621459705</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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Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be associated with colors (higher prime content):

||~ quality ||~ color ||~ monzo ||

||~ quality ||~ color(s) ||~ monzo ||~ examples ||

||= downminor ||= blue ||= {a, b, 0, c}, c = 1 ||

||= downminor ||= blue ||= {a, b, 0, c}, c = 1 ||= 7/6, 7/4 ||

||= minor ||= fourthward white ||= {a, b}, b < -1 ||

||= minor ||= fourthward white ||= {a, b}, b < -1 ||= 16/9, 32/27 ||

||= upminor ||= green ||= {a, b, c}, c = -1 ||

||= upminor ||= green ||= {a, b, c}, c = -1 ||= 6/5, 9/5 ||

||= downmid ||= jade~~, emerald~~ ||= {a, b, 0, 0, c} or {a, b, 0, 0, 0, c}, c = 1 ||

||= downmid ||= jade ||= {a, b, 0, 0, c}, c = 1 ||= 11/9, 11/6 ||

||= upmid ||= amber~~, ochre~~ ||= {a, b, 0, 0, c} or {a, b, 0, 0, 0, c}, c = -1 ||

||= " ||= emerald ||= {a, b, 0, 0, 0, c}, c = 1 ||= 13/8, 13/12 ||

||= downmajor ||= yellow ||= {a, b, c}, c = 1 ||

||= upmid ||= amber ||= {a, b, 0, 0, c}, c = -1 ||= 12/11, 16/11 ||

||= major ||= fifthward white ||= {a, b}, b > 1 ||

||= " ||= ochre ||= {a, b, 0, 0, 0, c}, c = -1 ||= 16/13, 18/13 ||

||= upmajor ||= red ||= {a, b, 0, c}, c = -1 ||

||= downmajor ||= yellow ||= {a, b, c}, c = 1 ||= 5/4, 5/3 ||

||= major ||= fifthward white ||= {a, b}, b > 1 ||= 9/8, 27/16 ||

||= upmajor ||= red ||= {a, b, 0, c}, c = -1 ||= 9/7, 12/7 ||

All 46edo chords can be named using ups and downs. Here are the blue, green, jade, yellow and red triads:

||~ color of the 3rd ||~ JI chord ||~ notes as edosteps ||~ notes of C chord ||~ written name ||~ spoken name ||

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<th>quality

</th>

<th>color

<th>color(s)

</th>

<th>monzo

</th>

<th>examples

</th>

</tr>

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</td>

<td style="text-align: center;">{a, b, 0, c}, c = 1

</td>

<td style="text-align: center;">7/6, 7/4

</td>

</tr>

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</td>

<td style="text-align: center;">{a, b}, b &lt; -1

</td>

<td style="text-align: center;">16/9, 32/27

</td>

</tr>

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</td>

<td style="text-align: center;">{a, b, c}, c = -1

</td>

<td style="text-align: center;">6/5, 9/5

</td>

</tr>

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<td style="text-align: center;">downmid

</td>

<td style="text-align: center;">jade~~, emerald~~

<td style="text-align: center;">jade

</td>

<td style="text-align: center;">{a, b, 0, 0, c} or {a, b, 0, 0, 0, c}, c = 1

<td style="text-align: center;">{a, b, 0, 0, c}, c = 1

</td>

<td style="text-align: center;">11/9, 11/6

</td>

</tr>

<tr>

<td style="text-align: center;">&quot;

</td>

<td style="text-align: center;">emerald

</td>

<td style="text-align: center;">{a, b, 0, 0, 0, c}, c = 1

</td>

<td style="text-align: center;">13/8, 13/12

</td>

</tr>

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<td style="text-align: center;">upmid

</td>

<td style="text-align: center;">amber~~, ochre~~

<td style="text-align: center;">amber

</td>

<td style="text-align: center;">{a, b, 0, 0, c} or {a, b, 0, 0, 0, c}, c = -1

<td style="text-align: center;">{a, b, 0, 0, c}, c = -1

</td>

<td style="text-align: center;">12/11, 16/11

</td>

</tr>

<tr>

<td style="text-align: center;">&quot;

</td>

<td style="text-align: center;">ochre

</td>

<td style="text-align: center;">{a, b, 0, 0, 0, c}, c = -1

</td>

<td style="text-align: center;">16/13, 18/13

</td>

</tr>

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</td>

<td style="text-align: center;">{a, b, c}, c = 1

</td>

<td style="text-align: center;">5/4, 5/3

</td>

</tr>

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</td>

<td style="text-align: center;">{a, b}, b &gt; 1

</td>

<td style="text-align: center;">9/8, 27/16

</td>

</tr>

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</td>

<td style="text-align: center;">{a, b, 0, c}, c = -1

</td>

<td style="text-align: center;">9/7, 12/7

</td>

</tr>

@@ 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>2017-11-11 17:18:36 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-11 17:33:05 UTC</tt>.<br>
-: The original revision id was <tt>621459301</tt>.<br>
+: The original revision id was <tt>621459705</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 75: / Line 75: @@
 Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be associated with colors (higher prime content):
-||~ quality ||~ color ||~ monzo ||
+||~ quality ||~ color(s) ||~ monzo ||~ examples ||
-||= downminor ||= blue ||= {a, b, 0, c}, c = 1 ||
+||= downminor ||= blue ||= {a, b, 0, c}, c = 1 ||= 7/6, 7/4 ||
-||= minor ||= fourthward white ||= {a, b}, b &lt; -1 ||
+||= minor ||= fourthward white ||= {a, b}, b &lt; -1 ||= 16/9, 32/27 ||
-||= upminor ||= green ||= {a, b, c}, c = -1 ||
+||= upminor ||= green ||= {a, b, c}, c = -1 ||= 6/5, 9/5 ||
-||= downmid ||= jade, emerald ||= {a, b, 0, 0, c} or {a, b, 0, 0, 0, c}, c = 1 ||
+||= downmid ||= jade ||= {a, b, 0, 0, c}, c = 1 ||= 11/9, 11/6 ||
-||= upmid ||= amber, ochre ||= {a, b, 0, 0, c} or {a, b, 0, 0, 0, c}, c = -1 ||
+||= " ||= emerald ||= {a, b, 0, 0, 0, c}, c = 1 ||= 13/8, 13/12 ||
-||= downmajor ||= yellow ||= {a, b, c}, c = 1 ||
+||= upmid ||= amber ||= {a, b, 0, 0, c}, c = -1 ||= 12/11, 16/11 ||
-||= major ||= fifthward white ||= {a, b}, b &gt; 1 ||
+||= " ||= ochre ||= {a, b, 0, 0, 0, c}, c = -1 ||= 16/13, 18/13 ||
-||= upmajor ||= red ||= {a, b, 0, c}, c = -1 ||
+||= downmajor ||= yellow ||= {a, b, c}, c = 1 ||= 5/4, 5/3 ||
+||= major ||= fifthward white ||= {a, b}, b &gt; 1 ||= 9/8, 27/16 ||
+||= upmajor ||= red ||= {a, b, 0, c}, c = -1 ||= 9/7, 12/7 ||
 All 46edo chords can be named using ups and downs. Here are the blue, green, jade, yellow and red triads:
 ||~ color of the 3rd ||~ JI chord ||~ notes as edosteps ||~ notes of C chord ||~ written name ||~ spoken name ||
@@ Line 1,192: / Line 1,194: @@
          &lt;th&gt;quality&lt;br /&gt;
 &lt;/th&gt;
-         &lt;th&gt;color&lt;br /&gt;
+         &lt;th&gt;color(s)&lt;br /&gt;
 &lt;/th&gt;
          &lt;th&gt;monzo&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;examples&lt;br /&gt;
 &lt;/th&gt;
      &lt;/tr&gt;
@@ Line 1,203: / Line 1,207: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;{a, b, 0, c}, c = 1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;7/6, 7/4&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,211: / Line 1,217: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;{a, b}, b &amp;lt; -1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;16/9, 32/27&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,219: / Line 1,227: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;{a, b, c}, c = -1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;6/5, 9/5&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,224: / Line 1,234: @@
          &lt;td style="text-align: center;"&gt;downmid&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;jade, emerald&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;jade&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;{a, b, 0, 0, c} or {a, b, 0, 0, 0, c}, c = 1&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;{a, b, 0, 0, c}, c = 1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;11/9, 11/6&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;&amp;quot;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;emerald&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;{a, b, 0, 0, 0, c}, c = 1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;13/8, 13/12&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,232: / Line 1,254: @@
          &lt;td style="text-align: center;"&gt;upmid&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;amber, ochre&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;amber&lt;br /&gt;
 &lt;/td&gt;
-         &lt;td style="text-align: center;"&gt;{a, b, 0, 0, c} or {a, b, 0, 0, 0, c}, c = -1&lt;br /&gt;
+         &lt;td style="text-align: center;"&gt;{a, b, 0, 0, c}, c = -1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;12/11, 16/11&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;&amp;quot;&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;ochre&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;{a, b, 0, 0, 0, c}, c = -1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;16/13, 18/13&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,243: / Line 1,277: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;{a, b, c}, c = 1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;5/4, 5/3&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,251: / Line 1,287: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;{a, b}, b &amp;gt; 1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;9/8, 27/16&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;
@@ Line 1,259: / Line 1,297: @@
 &lt;/td&gt;
          &lt;td style="text-align: center;"&gt;{a, b, 0, c}, c = -1&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;9/7, 12/7&lt;br /&gt;
 &lt;/td&gt;
      &lt;/tr&gt;