29edo: Difference between revisions
Wikispaces>hstraub **Imported revision 614499821 - Original comment: ** |
Wikispaces>TallKite **Imported revision 621464213 - 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: | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-11 20:55:37 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>621464213</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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See also: [[29edo solfege]] | See also: [[29edo solfege]] | ||
Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be loosely associated with colors: | |||
||~ quality ||~ color ||~ monzo format ||~ examples || | |||
||= downminor ||= blue ||= {a, b, 0, 1} ||= 7/6, 7/4 || | |||
||= minor ||= fourthward white ||= {a, b}, b < -1 ||= 32/27, 16/9 || | |||
||= upminor ||= green ||= {a, b, -1} ||= 6/5, 9/5 || | |||
||= " ||= jade ||= {a, b, 0, 0, 1} ||= 11/9, 11/6 || | |||
||= downmajor ||= amber ||= {a, b, 0, 0, -1} ||= 12/11, 18/11 || | |||
||= " ||= yellow ||= {a, b, 1} ||= 5/4, 5/3 || | |||
||= major ||= fifthward white ||= {a, b}, b > 1 ||= 9/8, 27/16 || | |||
||= upmajor ||= red ||= {a, b, 0, -1} ||= 9/7, 12/7 || | |||
All 29edo chords can be named using ups and downs. Here are the blue, green, 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 ||= 0-6-17 ||= C Ebv G ||= C.vm ||= C downminor || | |||
||= green ||= 10:12:15 ||= 0-8-17 ||= C Eb^ G ||= C.^m ||= C upminor || | |||
||= yellow ||= 4:5:6 ||= 0-9-17 ||= C Ev G ||= C.v ||= C downmajor or C dot down || | |||
||= red ||= 14:18:27 ||= 0-11-17 ||= 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]]. | |||
[[image:29edothumb.png caption="this example in Sagittal notation shows 29-edo as a fifth-tone system."]] | [[image:29edothumb.png caption="this example in Sagittal notation shows 29-edo as a fifth-tone system."]] | ||
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See also: <a class="wiki_link" href="/29edo%20solfege">29edo solfege</a><br /> | See also: <a class="wiki_link" href="/29edo%20solfege">29edo solfege</a><br /> | ||
<br /> | <br /> | ||
Combining ups and downs notation with <a class="wiki_link" href="/Kite%27s%20color%20notation">color notation</a>, qualities can be loosely associated with colors:<br /> | |||
<!-- ws:start:WikiTextLocalImageRule: | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>quality<br /> | |||
</th> | |||
<th>color<br /> | |||
</th> | |||
<th>monzo format<br /> | |||
</th> | |||
<th>examples<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">downminor<br /> | |||
</td> | |||
<td style="text-align: center;">blue<br /> | |||
</td> | |||
<td style="text-align: center;">{a, b, 0, 1}<br /> | |||
</td> | |||
<td style="text-align: center;">7/6, 7/4<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">minor<br /> | |||
</td> | |||
<td style="text-align: center;">fourthward white<br /> | |||
</td> | |||
<td style="text-align: center;">{a, b}, b &lt; -1<br /> | |||
</td> | |||
<td style="text-align: center;">32/27, 16/9<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">upminor<br /> | |||
</td> | |||
<td style="text-align: center;">green<br /> | |||
</td> | |||
<td style="text-align: center;">{a, b, -1}<br /> | |||
</td> | |||
<td style="text-align: center;">6/5, 9/5<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">&quot;<br /> | |||
</td> | |||
<td style="text-align: center;">jade<br /> | |||
</td> | |||
<td style="text-align: center;">{a, b, 0, 0, 1}<br /> | |||
</td> | |||
<td style="text-align: center;">11/9, 11/6<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">downmajor<br /> | |||
</td> | |||
<td style="text-align: center;">amber<br /> | |||
</td> | |||
<td style="text-align: center;">{a, b, 0, 0, -1}<br /> | |||
</td> | |||
<td style="text-align: center;">12/11, 18/11<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">&quot;<br /> | |||
</td> | |||
<td style="text-align: center;">yellow<br /> | |||
</td> | |||
<td style="text-align: center;">{a, b, 1}<br /> | |||
</td> | |||
<td style="text-align: center;">5/4, 5/3<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">major<br /> | |||
</td> | |||
<td style="text-align: center;">fifthward white<br /> | |||
</td> | |||
<td style="text-align: center;">{a, b}, b &gt; 1<br /> | |||
</td> | |||
<td style="text-align: center;">9/8, 27/16<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">upmajor<br /> | |||
</td> | |||
<td style="text-align: center;">red<br /> | |||
</td> | |||
<td style="text-align: center;">{a, b, 0, -1}<br /> | |||
</td> | |||
<td style="text-align: center;">9/7, 12/7<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
All 29edo chords can be named using ups and downs. Here are the blue, green, yellow and red triads:<br /> | |||
<table class="wiki_table"> | |||
<tr> | |||
<th>color of the 3rd<br /> | |||
</th> | |||
<th>JI chord<br /> | |||
</th> | |||
<th>notes as edosteps<br /> | |||
</th> | |||
<th>notes of C chord<br /> | |||
</th> | |||
<th>written name<br /> | |||
</th> | |||
<th>spoken name<br /> | |||
</th> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">blue<br /> | |||
</td> | |||
<td style="text-align: center;">6:7:9<br /> | |||
</td> | |||
<td style="text-align: center;">0-6-17<br /> | |||
</td> | |||
<td style="text-align: center;">C Ebv G<br /> | |||
</td> | |||
<td style="text-align: center;">C.vm<br /> | |||
</td> | |||
<td style="text-align: center;">C downminor<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">green<br /> | |||
</td> | |||
<td style="text-align: center;">10:12:15<br /> | |||
</td> | |||
<td style="text-align: center;">0-8-17<br /> | |||
</td> | |||
<td style="text-align: center;">C Eb^ G<br /> | |||
</td> | |||
<td style="text-align: center;">C.^m<br /> | |||
</td> | |||
<td style="text-align: center;">C upminor<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">yellow<br /> | |||
</td> | |||
<td style="text-align: center;">4:5:6<br /> | |||
</td> | |||
<td style="text-align: center;">0-9-17<br /> | |||
</td> | |||
<td style="text-align: center;">C Ev G<br /> | |||
</td> | |||
<td style="text-align: center;">C.v<br /> | |||
</td> | |||
<td style="text-align: center;">C downmajor or C dot down<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: center;">red<br /> | |||
</td> | |||
<td style="text-align: center;">14:18:27<br /> | |||
</td> | |||
<td style="text-align: center;">0-11-17<br /> | |||
</td> | |||
<td style="text-align: center;">C E^ G<br /> | |||
</td> | |||
<td style="text-align: center;">C.^<br /> | |||
</td> | |||
<td style="text-align: center;">C upmajor or C dot up<br /> | |||
</td> | |||
</tr> | |||
</table> | |||
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>.<br /> | |||
<br /> | |||
<!-- ws:start:WikiTextLocalImageRule:1111:&lt;img src=&quot;/file/view/29edothumb.png/277524658/29edothumb.png&quot; alt=&quot;this example in Sagittal notation shows 29-edo as a fifth-tone system.&quot; title=&quot;this example in Sagittal notation shows 29-edo as a fifth-tone system.&quot; /&gt; --><table class="captionBox"><tr><td class="captionedImage"><img src="/file/view/29edothumb.png/277524658/29edothumb.png" alt="29edothumb.png" title="29edothumb.png" /></td></tr><tr><td class="imageCaption">this example in Sagittal notation shows 29-edo as a fifth-tone system.</td></tr></table><!-- ws:end:WikiTextLocalImageRule:1111 --><br /> | |||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="Intervals and linear temperaments-Selected just intervals by error"></a><!-- ws:end:WikiTextHeadingRule:5 -->Selected just intervals by error</h2> | <!-- ws:start:WikiTextHeadingRule:5:&lt;h2&gt; --><h2 id="toc2"><a name="Intervals and linear temperaments-Selected just intervals by error"></a><!-- ws:end:WikiTextHeadingRule:5 -->Selected just intervals by error</h2> | ||
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