46edo: Difference between revisions

Line 1:

<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 16:30:56 UTC</tt>.

: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-11 16:55:18 UTC</tt>.

: The original revision id was <tt>~~621457975~~</tt>.

: The original revision id was <tt>621458661</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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*15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not [[xenharmonic/consistent|consistent]] in the [[xenharmonic/15-limit|15-limit]].

46edo [[Kite's color notation|color]] associations:

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

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

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

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

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

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

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

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

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

All 46edo chords can be named using ups and downs:

0-10-27 = C Ebv G = C.vm = "C downminor"

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0-17-27 = C E^ G = C.^= "C upmajor" or "C dot up"

etc.

For a more complete list, see [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]].

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*15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not <a class="wiki_link" href="http://xenharmonic.wikispaces.com/consistent">consistent</a> in the <a class="wiki_link" href="http://xenharmonic.wikispaces.com/15-limit">15-limit</a>.

46edo <a class="wiki_link" href="/Kite%27s%20color%20notation">color</a> associations:

<tr>

<th>quality

</th>

<th>color

</th>

<th>monzo

</th>

</tr>

<tr>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

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

</td>

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

</td>

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

</td>

</tr>

<tr>

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

</td>

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

</td>

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

</td>

</tr>

</table>

All 46edo chords can be named using ups and downs:

0-10-27 = C Ebv G = C.vm = &quot;C downminor&quot;

Line 1,183:

Line 1,270:

0-17-27 = C E^ G = C.^= &quot;C upmajor&quot; or &quot;C dot up&quot;

etc.

~~ ~~

For a more complete list, see <a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs">Ups and Downs Notation - Chord names in other EDOs</a>.

@@ 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 16:30:56 UTC</tt>.<br>
+: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-11 16:55:18 UTC</tt>.<br>
-: The original revision id was <tt>621457975</tt>.<br>
+: The original revision id was <tt>621458661</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 74: / Line 74: @@
 *15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not [[xenharmonic/consistent|consistent]] in the [[xenharmonic/15-limit|15-limit]].
+edo [[Kite's color notation|color]] associations:
+||~ quality ||~ color ||~ monzo ||
+||= downminor ||= blue ||= {a, b, 0, c}, c = 1 ||
+||= minor ||= fourthward white ||= {a, b}, b &lt; -1 ||
+||= upminor ||= green ||= {a, b, c}, c = -1 ||
+||= downmid ||= jade, emerald ||= {a, b, 0, 0, c} or {a, b, 0, 0, 0, c}, c = 1 ||
+||= upmid ||= amber, ochre ||= {a, b, 0, 0, c} or {a, b, 0, 0, 0, c}, c = -1 ||
+||= downmajor ||= yellow ||= {a, b, c}, c = 1 ||
+||= major ||= fifthward white ||= {a, b}, b &gt; 1 ||
+||= upmajor ||= red ||= {a, b, 0, c}, c = -1 ||
 All 46edo chords can be named using ups and downs:
 -10-27 = C Ebv G = C.vm = "C downminor"
@@ Line 81: / Line 91: @@
 -17-27 = C E^ G = C.^= "C upmajor" or "C dot up"
 etc.
 For a more complete list, see [[xenharmonic/Ups and Downs Notation#Chord%20names%20in%20other%20EDOs|Ups and Downs Notation - Chord names in other EDOs]].
@@ Line 1,176: / Line 1,185: @@
 *15/13 (and its inversion 26/15) appears twice on the list. 9\46edo is closest to 15/13 by a hair; 10\46edo represents the difference between, for instance, 46edo's 15/8 and 13/8, and is more likely to appear in chords actually functioning as 15/13. This discrepancy occurs because 46edo is not &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/consistent"&gt;consistent&lt;/a&gt; in the &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/15-limit"&gt;15-limit&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;
+edo &lt;a class="wiki_link" href="/Kite%27s%20color%20notation"&gt;color&lt;/a&gt; associations: &lt;br /&gt;
+&lt;table class="wiki_table"&gt;
+    &lt;tr&gt;
+        &lt;th&gt;quality&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;color&lt;br /&gt;
+&lt;/th&gt;
+        &lt;th&gt;monzo&lt;br /&gt;
+&lt;/th&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;downminor&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;blue&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;{a, b, 0, c}, c = 1&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;minor&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;fourthward white&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;{a, b}, b &amp;lt; -1&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;upminor&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;green&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;{a, b, c}, c = -1&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &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&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&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &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&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&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;downmajor&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;yellow&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;{a, b, c}, c = 1&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;major&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;fifthward white&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;{a, b}, b &amp;gt; 1&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+    &lt;tr&gt;
+        &lt;td style="text-align: center;"&gt;upmajor&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;red&lt;br /&gt;
+&lt;/td&gt;
+        &lt;td style="text-align: center;"&gt;{a, b, 0, c}, c = -1&lt;br /&gt;
+&lt;/td&gt;
+    &lt;/tr&gt;
+&lt;/table&gt;
 All 46edo chords can be named using ups and downs:&lt;br /&gt;
 -10-27 = C Ebv G = C.vm = &amp;quot;C downminor&amp;quot;&lt;br /&gt;
@@ Line 1,183: / Line 1,270: @@
 -17-27 = C E^ G = C.^= &amp;quot;C upmajor&amp;quot; or &amp;quot;C dot up&amp;quot;&lt;br /&gt;
 etc.&lt;br /&gt;
-&lt;br /&gt;
 For a more complete list, see &lt;a class="wiki_link" href="http://xenharmonic.wikispaces.com/Ups%20and%20Downs%20Notation#Chord%20names%20in%20other%20EDOs"&gt;Ups and Downs Notation - Chord names in other EDOs&lt;/a&gt;.&lt;br /&gt;
 &lt;br /&gt;