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27edo: Difference between revisions

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**Imported revision 602864584 - Original comment: **
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**Imported revision 621464079 - 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>2016-12-28 02:37:50 UTC</tt>.<br>
: This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-11 20:46:38 UTC</tt>.<br>
: The original revision id was <tt>602864584</tt>.<br>
: The original revision id was <tt>621464079</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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*based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.
*based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.


Chords can be named with ups and downs as C upminor, E downmajor seventh, etc. See the [[22edo]] page for examples.
Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be loosely associated with colors:
||~ quality ||~ color ||~ monzo format ||~ examples ||
||= minor ||= blue ||= {a, b, 0, 1} ||= 7/6, 7/4 ||
||= " ||= fourthward white ||= {a, b}, b &lt; -1 ||= 32/27, 16/9 ||
||= upminor ||= green ||= {a, b, -1} ||= 6/5, 9/5 ||
||= mid ||= emerald ||= {a, b, 0, 0, 0, 1} ||= 13/12, 13/8 ||
||= " ||= ochre ||= {a, b, 0, 0, -1} ||= 16/13, 24/13 ||
||= downmajor ||= yellow ||= {a, b, 1} ||= 5/4, 5/3 ||
||= major ||= fifthward white ||= {a, b}, b &gt; 1 ||= 9/8, 27/16 ||
||= " ||= red ||= {a, b, 0, -1} ||= 9/7, 12/7 ||
All 27edo 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 ||
||= blue ||= 6:7:9 ||= 0-6-16 ||= C Eb G ||= Cm ||= C minor ||
||= green ||= 10:12:15 ||= 0-7-16 ||= C Eb^ G ||= C.^m ||= C upminor ||
||= jade ||= 18:22:27 ||= 0-8-16 ||= C Evv G ||= C~ ||= C mid ||
||= yellow ||= 4:5:6 ||= 0-9-16 ||= C Ev G ||= C.v ||= C downmajor or C dot down ||
||= red ||= 14:18:27 ||= 0-10-16 ||= C E G ||= C ||= C major or C ||
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]]. See also the [[22edo]] page.


==Rank two temperaments==  
==Rank two temperaments==  
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*based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.&lt;br /&gt;
*based on treating 27-EDO as a 2.3.5.7.13 subgroup temperament; other approaches are possible.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
Chords can be named with ups and downs as C upminor, E downmajor seventh, etc. See the &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; page for examples.&lt;br /&gt;
Combining ups and downs notation with &lt;a class="wiki_link" href="/Kite%27s%20color%20notation"&gt;color notation&lt;/a&gt;, qualities can be loosely associated with colors:&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 format&lt;br /&gt;
&lt;/th&gt;
        &lt;th&gt;examples&lt;br /&gt;
&lt;/th&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;blue&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;{a, b, 0, 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;
    &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;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;td style="text-align: center;"&gt;32/27, 16/9&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, -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;
    &lt;tr&gt;
        &lt;td style="text-align: center;"&gt;mid&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, 1}&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;13/12, 13/8&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, -1}&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;16/13, 24/13&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, 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;
    &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;td style="text-align: center;"&gt;9/8, 27/16&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;red&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;{a, b, 0, -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;
&lt;/table&gt;
 
All 27edo chords can be named using ups and downs. Here are the blue, green, jade, yellow and red triads:&lt;br /&gt;
 
 
&lt;table class="wiki_table"&gt;
    &lt;tr&gt;
        &lt;th&gt;color of the 3rd&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;0-6-16&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;Cm&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C minor&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;0-7-16&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;0-8-16&lt;br /&gt;
&lt;/td&gt;
        &lt;td style="text-align: center;"&gt;C Evv 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 mid&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;0-9-16&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;0-10-16&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 major or C&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;. See also the &lt;a class="wiki_link" href="/22edo"&gt;22edo&lt;/a&gt; page.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x27 tone equal tempertament-Rank two temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;Rank two temperaments&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:7:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc3"&gt;&lt;a name="x27 tone equal tempertament-Rank two temperaments"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:7 --&gt;Rank two temperaments&lt;/h2&gt;
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