46edo: Difference between revisions

Wikispaces>TallKite
**Imported revision 621458661 - Original comment: **
Wikispaces>TallKite
**Imported revision 621459091 - Original comment: **
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<h2>IMPORTED REVISION FROM WIKISPACES</h2>
<h2>IMPORTED REVISION FROM WIKISPACES</h2>
This is an imported revision from Wikispaces. The revision metadata is included below for reference:<br>
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 16:55:18 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-11 17:13:17 UTC</tt>.<br>
: The original revision id was <tt>621458661</tt>.<br>
: The original revision id was <tt>621459091</tt>.<br>
: The revision comment was: <tt></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>
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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*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]].
*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:  
46edo [[Kite's color notation|color]] associations:
||~ quality ||~ color ||~ monzo ||
||~ quality ||~ color ||~ monzo ||
||= downminor ||= blue ||= {a, b, 0, c}, c = 1 ||
||= downminor ||= blue ||= {a, b, 0, c}, c = 1 ||
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||= major ||= fifthward white ||= {a, b}, b &gt; 1 ||
||= major ||= fifthward white ||= {a, b}, b &gt; 1 ||
||= upmajor ||= red ||= {a, b, 0, c}, c = -1 ||
||= upmajor ||= red ||= {a, b, 0, c}, c = -1 ||
All 46edo chords can be named using ups and downs:
All 46edo chords can be named using ups and downs. Here are the blue, green, jade, yellow and red triads:
0-10-27 = C Ebv G = C.vm = "C downminor"
||~ color of the 3rd ||~ JI chord ||~ notes as edosteps ||~ notes of C chord ||~ written name ||~ spoken name ||
0-12-27 = C Eb^ G = C.^m = "C upminor"
||= blue ||= 6:7:9 ||= 0-10-27 ||= C Ebv G ||= C.vm ||= C downminor ||
0-14-27 = C Evv G = C.^~ = "C upmid"
||= green ||= 10:12:15 ||= 0-12-27 ||= C Eb^ G ||= C.^m ||= C upminor ||
0-16-27 = C E G = "C major" or "C"
||= jade ||= 18:22:27 ||= 0-13-27 ||= C Eb^^ G ||= C.v~ ||= C downmid ||
0-17-27 = C E^ G = C.^= "C upmajor" or "C dot up"
||= yellow ||= 4:5:6 ||= 0-15-27 ||= C Ev G ||= C.v ||= C downmajor or C dot down ||
etc.
||= red ||= 14:18:27 ||= 0-17-27 ||= C E^ G ||= C.^ ||= C upmajor or C dot up ||
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]].
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 &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;
*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;
&lt;br /&gt;
46edo &lt;a class="wiki_link" href="/Kite%27s%20color%20notation"&gt;color&lt;/a&gt; associations: &lt;br /&gt;
46edo &lt;a class="wiki_link" href="/Kite%27s%20color%20notation"&gt;color&lt;/a&gt; associations:&lt;br /&gt;




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&lt;/table&gt;
&lt;/table&gt;


All 46edo chords can be named using ups and downs:&lt;br /&gt;
All 46edo chords can be named using ups and downs. Here are the blue, green, jade, yellow and red triads:&lt;br /&gt;
0-10-27 = C Ebv G = C.vm = &amp;quot;C downminor&amp;quot;&lt;br /&gt;
 
0-12-27 = C Eb^ G = C.^m = &amp;quot;C upminor&amp;quot;&lt;br /&gt;
 
0-14-27 = C Evv G = C.^~ = &amp;quot;C upmid&amp;quot;&lt;br /&gt;
&lt;table class="wiki_table"&gt;
0-16-27 = C E G = &amp;quot;C major&amp;quot; or &amp;quot;C&amp;quot;&lt;br /&gt;
    &lt;tr&gt;
0-17-27 = C E^ G = C.^= &amp;quot;C upmajor&amp;quot; or &amp;quot;C dot up&amp;quot;&lt;br /&gt;
        &lt;th&gt;color of the 3rd&lt;br /&gt;
etc.&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;JI chord&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;notes as edosteps&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;notes of C chord&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;written name&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;spoken name&lt;br /&gt;
&lt;/th&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;blue&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;6:7:9&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;0-10-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C Ebv G&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C.vm&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C downminor&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;green&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;10:12:15&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;0-12-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C Eb^ G&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C.^m&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C upminor&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;jade&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;18:22:27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;0-13-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C Eb^^ G&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C.v~&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C downmid&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;yellow&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;4:5:6&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;0-15-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C Ev G&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C.v&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C downmajor or C dot down&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;red&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;14:18:27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;0-17-27&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C E^ G&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C.^&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C upmajor or C dot up&lt;br /&gt;
&lt;/td&gt;
    &lt;/tr&gt;
&lt;/table&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;
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;
&lt;br /&gt;