41edo: Difference between revisions
Wikispaces>TallKite **Imported revision 617217617 - Original comment: ** |
Wikispaces>TallKite **Imported revision 621464371 - 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- | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-11 21:04:30 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>621464371</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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||= 41 ||= 1200 ||< 2/1 ||= P8 ||= D || || do || || || | ||= 41 ||= 1200 ||< 2/1 ||= P8 ||= D || || do || || || | ||
41edo | 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 || | |||
||= mid ||= jade ||= {a, b, 0, 0, 1} ||= 11/9, 11/6 || | |||
||= " ||= amber ||= {a, b, 0, 0, -1} ||= 12/11, 18/11 || | |||
||= downmajor ||= 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 41edo 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 ||= 0-9-24 ||= C Ebv G ||= C.vm ||= C downminor || | |||
||= green ||= 10:12:15 ||= 0-11-24 ||= C Eb^ G ||= C.^m ||= C upminor || | |||
||= jade ||= 18:22:27 ||= 0-12-24 ||= C Evv G ||= C~ ||= C mid || | |||
||= yellow ||= 4:5:6 ||= 0-13-24 ||= C Ev G ||= C.v ||= C downmajor or C dot down || | |||
||= red ||= 14:18:27 ||= 0-15-24 ||= C E^ G ||= C.^ ||= C upmajor or C dot up || | |||
0-10-20 = D F Ab = Ddim = "D dim" | 0-10-20 = D F Ab = Ddim = "D dim" | ||
0-10-21 = D F Ab^ = Ddim(^5) = "D dim up-five" | 0-10-21 = D F Ab^ = Ddim(^5) = "D dim up-five" | ||
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0-10-23 = D F Av = Dm(v5) = "D minor down-five" | 0-10-23 = D F Av = Dm(v5) = "D minor down-five" | ||
0-10-24 = D F A = Dm = "D minor" | 0-10-24 = D F A = Dm = "D minor" | ||
0-14-24 = D F# A = D = "D" or "D major" | 0-14-24 = D F# A = D = "D" or "D major" | ||
0-14-25 = D F# A^ = D(^5) = "D up-five" | 0-14-25 = D F# A^ = D(^5) = "D up-five" | ||
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<br /> | <br /> | ||
41edo | 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 /> | ||
<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;">mid<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;">&quot;<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;">downmajor<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 41edo chords can be named using ups and downs. Here are the blue, green, jade, 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;">0-9-24<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;">0-11-24<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;">jade<br /> | |||
</td> | |||
<td style="text-align: center;">18:22:27<br /> | |||
</td> | |||
<td style="text-align: center;">0-12-24<br /> | |||
</td> | |||
<td style="text-align: center;">C Evv G<br /> | |||
</td> | |||
<td style="text-align: center;">C~<br /> | |||
</td> | |||
<td style="text-align: center;">C mid<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;">0-13-24<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;">0-15-24<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> | |||
0-10-20 = D F Ab = Ddim = &quot;D dim&quot;<br /> | 0-10-20 = D F Ab = Ddim = &quot;D dim&quot;<br /> | ||
0-10-21 = D F Ab^ = Ddim(^5) = &quot;D dim up-five&quot;<br /> | 0-10-21 = D F Ab^ = Ddim(^5) = &quot;D dim up-five&quot;<br /> | ||
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0-10-23 = D F Av = Dm(v5) = &quot;D minor down-five&quot;<br /> | 0-10-23 = D F Av = Dm(v5) = &quot;D minor down-five&quot;<br /> | ||
0-10-24 = D F A = Dm = &quot;D minor&quot;<br /> | 0-10-24 = D F A = Dm = &quot;D minor&quot;<br /> | ||
0-14-24 = D F# A = D = &quot;D&quot; or &quot;D major&quot;<br /> | 0-14-24 = D F# A = D = &quot;D&quot; or &quot;D major&quot;<br /> | ||
0-14-25 = D F# A^ = D(^5) = &quot;D up-five&quot;<br /> | 0-14-25 = D F# A^ = D(^5) = &quot;D up-five&quot;<br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:19:&lt;h1&gt; --><h1 id="toc5"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:19 -->Instruments</h1> | <!-- ws:start:WikiTextHeadingRule:19:&lt;h1&gt; --><h1 id="toc5"><a name="Instruments"></a><!-- ws:end:WikiTextHeadingRule:19 -->Instruments</h1> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:2900:&lt;img src=&quot;/file/view/41-EDD%20elektrische%20gitaar.jpg/610818537/560x745/41-EDD%20elektrische%20gitaar.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 745px; width: 560px;&quot; /&gt; --><img src="/file/view/41-EDD%20elektrische%20gitaar.jpg/610818537/560x745/41-EDD%20elektrische%20gitaar.jpg" alt="41-EDD elektrische gitaar.jpg" title="41-EDD elektrische gitaar.jpg" style="height: 745px; width: 560px;" /><!-- ws:end:WikiTextLocalImageRule:2900 --><br /> | ||
<em>41-EDO Electric guitar, by Gregory Sanchez.</em><br /> | <em>41-EDO Electric guitar, by Gregory Sanchez.</em><br /> | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextLocalImageRule: | <!-- ws:start:WikiTextLocalImageRule:2901:&lt;img src=&quot;/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg&quot; alt=&quot;&quot; title=&quot;&quot; /&gt; --><img src="/file/view/Ron_Sword_with_a_41ET_Guitar.jpg/221056094/Ron_Sword_with_a_41ET_Guitar.jpg" alt="Ron_Sword_with_a_41ET_Guitar.jpg" title="Ron_Sword_with_a_41ET_Guitar.jpg" /><!-- ws:end:WikiTextLocalImageRule:2901 --><br /> | ||
<em>41-EDO Classical guitar, by Ron Sword.</em><br /> | <em>41-EDO Classical guitar, by Ron Sword.</em><br /> | ||
<br /> | <br /> | ||
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<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:31:&lt;h1&gt; --><h1 id="toc11"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:31 -->Links</h1> | <!-- ws:start:WikiTextHeadingRule:31:&lt;h1&gt; --><h1 id="toc11"><a name="Links"></a><!-- ws:end:WikiTextHeadingRule:31 -->Links</h1> | ||
<ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow">Wikipedia article on 41edo</a></li><li><a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis">Magic22 as srutis</a> describes a possible use of 41edo for <a class="wiki_link" href="/indian">indian</a> music.</li><li>see also <a class="wiki_link" href="/Magic%20family">Magic family</a></li><li>Sword, Ron. <a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank">&quot;Tetracontamonophonic Scales for Guitar&quot;</a></li><li>Taylor, Cam. <a class="wiki_link_ext" href="https://drive.google.com/open?id=0B3wIGTmjY_VZYllwcHI0d3hEc3M" rel="nofollow">Intervals, Scales and Chords in 41EDO</a>, a work in progress using just intonation concepts and simplified Sagittal notation.</li></ul><!-- ws:start:WikiTextReferencesRule: | <ul><li><a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/41_equal_temperament" rel="nofollow">Wikipedia article on 41edo</a></li><li><a class="wiki_link" href="/Magic22%20as%20srutis#magic22assrutis">Magic22 as srutis</a> describes a possible use of 41edo for <a class="wiki_link" href="/indian">indian</a> music.</li><li>see also <a class="wiki_link" href="/Magic%20family">Magic family</a></li><li>Sword, Ron. <a class="wiki_link_ext" href="http://www.ronsword.com" rel="nofollow" target="_blank">&quot;Tetracontamonophonic Scales for Guitar&quot;</a></li><li>Taylor, Cam. <a class="wiki_link_ext" href="https://drive.google.com/open?id=0B3wIGTmjY_VZYllwcHI0d3hEc3M" rel="nofollow">Intervals, Scales and Chords in 41EDO</a>, a work in progress using just intonation concepts and simplified Sagittal notation.</li></ul><!-- ws:start:WikiTextReferencesRule:4394: --><hr class="references" /><ol class="references"> | ||
<li id="cite_note-1"><a href="#cite_ref-1">^</a> <a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow">&quot;Schismic Temperaments&quot;</a> at x31eq.com the website of <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a></li> | <li id="cite_note-1"><a href="#cite_ref-1">^</a> <a class="wiki_link_ext" href="http://x31eq.com/schismic.htm" rel="nofollow">&quot;Schismic Temperaments&quot;</a> at x31eq.com the website of <a class="wiki_link" href="/Graham%20Breed">Graham Breed</a></li> | ||
<li id="cite_note-2"><a href="#cite_ref-2">^</a> <a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow">&quot;Lattices with Decimal Notation&quot;</a> at x31eq.com</li> | <li id="cite_note-2"><a href="#cite_ref-2">^</a> <a class="wiki_link_ext" href="http://x31eq.com/decimal_lattice.htm" rel="nofollow">&quot;Lattices with Decimal Notation&quot;</a> at x31eq.com</li> | ||
<li id="cite_note-3"><a href="#cite_ref-3">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow">Schismatic temperament</a></li> | <li id="cite_note-3"><a href="#cite_ref-3">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Schismatic_temperament" rel="nofollow">Schismatic temperament</a></li> | ||
<li id="cite_note-4"><a href="#cite_ref-4">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Magic_temperament" rel="nofollow">Magic temperament</a></li> | <li id="cite_note-4"><a href="#cite_ref-4">^</a> <a class="wiki_link_ext" href="http://en.wikipedia.org/wiki/Magic_temperament" rel="nofollow">Magic temperament</a></li> | ||
</ol><!-- ws:end:WikiTextReferencesRule: | </ol><!-- ws:end:WikiTextReferencesRule:4394 --></body></html></pre></div> |