46edo: Difference between revisions
Wikispaces>TallKite **Imported revision 621459721 - Original comment: ** |
Wikispaces>TallKite **Imported revision 621461749 - 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 | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2017-11-11 18:53:14 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>621461749</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]]. | ||
Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be associated with colors | Combining ups and downs notation with [[Kite's color notation|color notation]], qualities can be loosely associated with colors: | ||
||~ quality ||~ color ||~ monzo ||~ examples || | ||~ quality ||~ color ||~ monzo format ||~ examples || | ||
||= downminor ||= blue ||= {a, b, 0, | ||= downminor ||= blue ||= {a, b, 0, 1} ||= 7/6, 7/4 || | ||
||= minor ||= fourthward white ||= {a, b}, b < -1 ||= 16/9, 32/27 || | ||= minor ||= fourthward white ||= {a, b}, b < -1 ||= 16/9, 32/27 || | ||
||= upminor ||= green ||= {a, b, | ||= upminor ||= green ||= {a, b, -1} ||= 6/5, 9/5 || | ||
||= downmid ||= jade ||= {a, b, 0, 0, | ||= downmid ||= jade ||= {a, b, 0, 0, 1} ||= 11/9, 11/6 || | ||
||= upmid ||= amber ||= {a, b, 0, 0, -1} ||= 12/11, 18/11 || | |||
||= upmid ||= amber ||= {a, b, 0, 0, | ||= downmajor ||= yellow ||= {a, b, 1} ||= 5/4, 5/3 || | ||
||= downmajor ||= yellow ||= {a, b, | |||
||= major ||= fifthward white ||= {a, b}, b > 1 ||= 9/8, 27/16 || | ||= major ||= fifthward white ||= {a, b}, b > 1 ||= 9/8, 27/16 || | ||
||= upmajor ||= red ||= {a, b, 0, | ||= upmajor ||= red ||= {a, b, 0, -1} ||= 9/7, 12/7 || | ||
All 46edo chords can be named using ups and downs. Here are the blue, green, jade, yellow and red triads: | All 46edo 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 || | ||~ color of the 3rd ||~ JI chord ||~ notes as edosteps ||~ notes of C chord ||~ written name ||~ spoken name || | ||
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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>.<br /> | *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>.<br /> | ||
<br /> | <br /> | ||
Combining ups and downs notation with <a class="wiki_link" href="/Kite%27s%20color%20notation">color notation</a>, qualities can be associated with colors | 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 /> | ||
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<th>color<br /> | <th>color<br /> | ||
</th> | </th> | ||
<th>monzo<br /> | <th>monzo format<br /> | ||
</th> | </th> | ||
<th>examples<br /> | <th>examples<br /> | ||
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<td style="text-align: center;">blue<br /> | <td style="text-align: center;">blue<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">{a, b, 0, | <td style="text-align: center;">{a, b, 0, 1}<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">7/6, 7/4<br /> | <td style="text-align: center;">7/6, 7/4<br /> | ||
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<td style="text-align: center;">green<br /> | <td style="text-align: center;">green<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">{a, b, | <td style="text-align: center;">{a, b, -1}<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">6/5, 9/5<br /> | <td style="text-align: center;">6/5, 9/5<br /> | ||
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<td style="text-align: center;">jade<br /> | <td style="text-align: center;">jade<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">{a, b, 0, 0, | <td style="text-align: center;">{a, b, 0, 0, 1}<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">11/9, 11/6<br /> | <td style="text-align: center;">11/9, 11/6<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">amber<br /> | <td style="text-align: center;">amber<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">{a, b, 0, 0, | <td style="text-align: center;">{a, b, 0, 0, -1}<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">12/11, 18/11<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
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<td style="text-align: center;">yellow<br /> | <td style="text-align: center;">yellow<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">{a, b, | <td style="text-align: center;">{a, b, 1}<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">5/4, 5/3<br /> | <td style="text-align: center;">5/4, 5/3<br /> | ||
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<td style="text-align: center;">red<br /> | <td style="text-align: center;">red<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">{a, b, 0, | <td style="text-align: center;">{a, b, 0, -1}<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">9/7, 12/7<br /> | <td style="text-align: center;">9/7, 12/7<br /> | ||