20edo: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 597507086 - Original comment: ** |
Wikispaces>TallKite **Imported revision 599949126 - 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>2016-11-21 04:52:49 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>599949126</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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==Intervals== | ==Intervals== | ||
|| **Degree** || **Cents coarse/fine** | || **Degree** || **Cents coarse/fine** | ||
**DMS** ||= **Approximate** | **DMS** |||| [[Ups and Downs Notation|up/down notation]] ||= **Approximate** | ||
**Ratios** ||= **Nearest** | **Ratios** ||= **Nearest** | ||
**Harmonic** || | **Harmonic** || | ||
|| 0 || 0 ||= 1/1 ||= 1 || | || 0 || 0 || P1 || D ||= 1/1 ||= 1 || | ||
|| 1 || 60, 72 | || 1 || 60, 72 | ||
18° ||= 29/28 ||= 33 || | 18° || ^m2 || D^ ||= 29/28 ||= 33 || | ||
|| 2 || 120, 144 | || 2 || 120, 144 | ||
36° ||= 14/13, 15/14 ||= 69 || | 36° || ~2 || D^^, Evv ||= 14/13, 15/14 ||= 69 || | ||
|| 3 || 180, 216 | || 3 || 180, 216 | ||
54° ||= 10/9 ||= 71 || | 54° || vM2 || Ev ||= 10/9 ||= 71 || | ||
|| 4 || 240, 288 | || 4 || 240, 288 | ||
72° ||= 8/7, 15/13 ||= 37 || | 72° || M2, m3 || E, F ||= 8/7, 15/13 ||= 37 || | ||
|| 5 || 300, 360 | || 5 || 300, 360 | ||
90° ||= 13/11, 19/16 ||= 19 || | 90° || ^m3 || F^ ||= 13/11, 19/16 ||= 19 || | ||
|| 6 || 360, 432 | || 6 || 360, 432 | ||
108° ||= 16/13, 5/4 ||= 79 || | 108° || ~3 || F^^ ||= 16/13, 5/4 ||= 79 || | ||
|| 7 || 420, 504 | || 7 || 420, 504 | ||
126° ||= [[14_11|14/11]], [[51_40|51/40]] ||= 41 || | 126° || vM3 || F#v ||= [[14_11|14/11]], [[51_40|51/40]] ||= 41 || | ||
|| 8 || 480, 576 | || 8 || 480, 576 | ||
144° ||= 25/19, 4/3 ||= 21 || | 144° || M3, P4 || F#, G ||= 25/19, 4/3 ||= 21 || | ||
|| 9 || 540, 648 | || 9 || 540, 648 | ||
162° ||= 15/11, 11/8 ||= 11 || | 162° || ^4 || G^ ||= 15/11, 11/8 ||= 11 || | ||
|| 10 || 600, 720 | || 10 || 600, 720 | ||
180° ||= 7/5 ||= 91 || | 180° || ^^4, vv5 || G^^, Avv ||= 7/5 ||= 91 || | ||
|| 11 || 660, 792 | || 11 || 660, 792 | ||
198° ||= 22/15, 16/11 ||= 47 || | 198° || v5 || Av ||= 22/15, 16/11 ||= 47 || | ||
|| 12 || 720, 864 | || 12 || 720, 864 | ||
216° ||= 38/25, 3/2 ||= 97 || | 216° || P5, m6 || A ||= 38/25, 3/2 ||= 97 || | ||
|| 13 || 780, 936 | || 13 || 780, 936 | ||
234° ||= 11/7, 25/16 ||= 25 || | 234° || ^m6 || A^ ||= 11/7, 25/16 ||= 25 || | ||
|| 14 || 840, 1008 | || 14 || 840, 1008 | ||
252° ||= 13/8, 8/5 ||= 13 || | 252° || ~6 || A^^, Bvv ||= 13/8, 8/5 ||= 13 || | ||
|| 15 || 900, 1080 | || 15 || 900, 1080 | ||
270° ||= 22/13, 32/19 ||= 27 || | 270° || vM6 || Bv ||= 22/13, 32/19 ||= 27 || | ||
|| 16 || 960, 1152 | || 16 || 960, 1152 | ||
288° ||= 7/4, 26/15 ||= 7 || | 288° || M6, m7 || B, C ||= 7/4, 26/15 ||= 7 || | ||
|| 17 || 1020, 1224 | || 17 || 1020, 1224 | ||
306° ||= 9/5 ||= 115 || | 306° || ^m7 || C^ ||= 9/5 ||= 115 || | ||
|| 18 || 1080, 1296 | || 18 || 1080, 1296 | ||
324° ||= 15/8, 13/7 ||= 15 || | 324° || ~7 || C^^, Dvv ||= 15/8, 13/7 ||= 15 || | ||
|| 19 || 1140, 1368 | || 19 || 1140, 1368 | ||
342° ||= 56/29 ||= 31 || | 342° || vM7 || Dv ||= 56/29 ||= 31 || | ||
|| 20 || 1200, 1440 | || 20 || 1200, 1440 | ||
360° ||= 2/1 ||= 2 || | 360° || 8ve || D ||= 2/1 ||= 2 || | ||
==Modes== | ==Modes== | ||
20 tone equal modes: | 20 tone equal modes: | ||
| Line 134: | Line 134: | ||
<td><strong>Cents coarse/fine</strong><br /> | <td><strong>Cents coarse/fine</strong><br /> | ||
<strong>DMS</strong><br /> | <strong>DMS</strong><br /> | ||
</td> | |||
<td colspan="2"><a class="wiki_link" href="/Ups%20and%20Downs%20Notation">up/down notation</a><br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><strong>Approximate</strong><br /> | <td style="text-align: center;"><strong>Approximate</strong><br /> | ||
| Line 146: | Line 148: | ||
</td> | </td> | ||
<td>0<br /> | <td>0<br /> | ||
</td> | |||
<td>P1<br /> | |||
</td> | |||
<td>D<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">1/1<br /> | <td style="text-align: center;">1/1<br /> | ||
| Line 157: | Line 163: | ||
<td>60, 72<br /> | <td>60, 72<br /> | ||
18°<br /> | 18°<br /> | ||
</td> | |||
<td>^m2<br /> | |||
</td> | |||
<td>D^<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">29/28<br /> | <td style="text-align: center;">29/28<br /> | ||
| Line 168: | Line 178: | ||
<td>120, 144<br /> | <td>120, 144<br /> | ||
36°<br /> | 36°<br /> | ||
</td> | |||
<td>~2<br /> | |||
</td> | |||
<td>D^^, Evv<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">14/13, 15/14<br /> | <td style="text-align: center;">14/13, 15/14<br /> | ||
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<td>180, 216<br /> | <td>180, 216<br /> | ||
54°<br /> | 54°<br /> | ||
</td> | |||
<td>vM2<br /> | |||
</td> | |||
<td>Ev<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">10/9<br /> | <td style="text-align: center;">10/9<br /> | ||
| Line 190: | Line 208: | ||
<td>240, 288<br /> | <td>240, 288<br /> | ||
72°<br /> | 72°<br /> | ||
</td> | |||
<td>M2, m3<br /> | |||
</td> | |||
<td>E, F<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">8/7, 15/13<br /> | <td style="text-align: center;">8/7, 15/13<br /> | ||
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<td>300, 360<br /> | <td>300, 360<br /> | ||
90°<br /> | 90°<br /> | ||
</td> | |||
<td>^m3<br /> | |||
</td> | |||
<td>F^<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">13/11, 19/16<br /> | <td style="text-align: center;">13/11, 19/16<br /> | ||
| Line 212: | Line 238: | ||
<td>360, 432<br /> | <td>360, 432<br /> | ||
108°<br /> | 108°<br /> | ||
</td> | |||
<td>~3<br /> | |||
</td> | |||
<td>F^^<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">16/13, 5/4<br /> | <td style="text-align: center;">16/13, 5/4<br /> | ||
| Line 223: | Line 253: | ||
<td>420, 504<br /> | <td>420, 504<br /> | ||
126°<br /> | 126°<br /> | ||
</td> | |||
<td>vM3<br /> | |||
</td> | |||
<td>F#v<br /> | |||
</td> | </td> | ||
<td style="text-align: center;"><a class="wiki_link" href="/14_11">14/11</a>, <a class="wiki_link" href="/51_40">51/40</a><br /> | <td style="text-align: center;"><a class="wiki_link" href="/14_11">14/11</a>, <a class="wiki_link" href="/51_40">51/40</a><br /> | ||
| Line 234: | Line 268: | ||
<td>480, 576<br /> | <td>480, 576<br /> | ||
144°<br /> | 144°<br /> | ||
</td> | |||
<td>M3, P4<br /> | |||
</td> | |||
<td>F#, G<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">25/19, 4/3<br /> | <td style="text-align: center;">25/19, 4/3<br /> | ||
| Line 245: | Line 283: | ||
<td>540, 648<br /> | <td>540, 648<br /> | ||
162°<br /> | 162°<br /> | ||
</td> | |||
<td>^4<br /> | |||
</td> | |||
<td>G^<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">15/11, 11/8<br /> | <td style="text-align: center;">15/11, 11/8<br /> | ||
| Line 256: | Line 298: | ||
<td>600, 720<br /> | <td>600, 720<br /> | ||
180°<br /> | 180°<br /> | ||
</td> | |||
<td>^^4, vv5<br /> | |||
</td> | |||
<td>G^^, Avv<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">7/5<br /> | <td style="text-align: center;">7/5<br /> | ||
| Line 267: | Line 313: | ||
<td>660, 792<br /> | <td>660, 792<br /> | ||
198°<br /> | 198°<br /> | ||
</td> | |||
<td>v5<br /> | |||
</td> | |||
<td>Av<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">22/15, 16/11<br /> | <td style="text-align: center;">22/15, 16/11<br /> | ||
| Line 278: | Line 328: | ||
<td>720, 864<br /> | <td>720, 864<br /> | ||
216°<br /> | 216°<br /> | ||
</td> | |||
<td>P5, m6<br /> | |||
</td> | |||
<td>A<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">38/25, 3/2<br /> | <td style="text-align: center;">38/25, 3/2<br /> | ||
| Line 289: | Line 343: | ||
<td>780, 936<br /> | <td>780, 936<br /> | ||
234°<br /> | 234°<br /> | ||
</td> | |||
<td>^m6<br /> | |||
</td> | |||
<td>A^<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">11/7, 25/16<br /> | <td style="text-align: center;">11/7, 25/16<br /> | ||
| Line 300: | Line 358: | ||
<td>840, 1008<br /> | <td>840, 1008<br /> | ||
252°<br /> | 252°<br /> | ||
</td> | |||
<td>~6<br /> | |||
</td> | |||
<td>A^^, Bvv<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">13/8, 8/5<br /> | <td style="text-align: center;">13/8, 8/5<br /> | ||
| Line 311: | Line 373: | ||
<td>900, 1080<br /> | <td>900, 1080<br /> | ||
270°<br /> | 270°<br /> | ||
</td> | |||
<td>vM6<br /> | |||
</td> | |||
<td>Bv<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">22/13, 32/19<br /> | <td style="text-align: center;">22/13, 32/19<br /> | ||
| Line 322: | Line 388: | ||
<td>960, 1152<br /> | <td>960, 1152<br /> | ||
288°<br /> | 288°<br /> | ||
</td> | |||
<td>M6, m7<br /> | |||
</td> | |||
<td>B, C<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">7/4, 26/15<br /> | <td style="text-align: center;">7/4, 26/15<br /> | ||
| Line 333: | Line 403: | ||
<td>1020, 1224<br /> | <td>1020, 1224<br /> | ||
306°<br /> | 306°<br /> | ||
</td> | |||
<td>^m7<br /> | |||
</td> | |||
<td>C^<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">9/5<br /> | <td style="text-align: center;">9/5<br /> | ||
| Line 344: | Line 418: | ||
<td>1080, 1296<br /> | <td>1080, 1296<br /> | ||
324°<br /> | 324°<br /> | ||
</td> | |||
<td>~7<br /> | |||
</td> | |||
<td>C^^, Dvv<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">15/8, 13/7<br /> | <td style="text-align: center;">15/8, 13/7<br /> | ||
| Line 355: | Line 433: | ||
<td>1140, 1368<br /> | <td>1140, 1368<br /> | ||
342°<br /> | 342°<br /> | ||
</td> | |||
<td>vM7<br /> | |||
</td> | |||
<td>Dv<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">56/29<br /> | <td style="text-align: center;">56/29<br /> | ||
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<td>1200, 1440<br /> | <td>1200, 1440<br /> | ||
360°<br /> | 360°<br /> | ||
</td> | |||
<td>8ve<br /> | |||
</td> | |||
<td>D<br /> | |||
</td> | </td> | ||
<td style="text-align: center;">2/1<br /> | <td style="text-align: center;">2/1<br /> | ||
| Line 771: | Line 857: | ||
<br /> | <br /> | ||
<!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:12 -->Books</h1> | <!-- ws:start:WikiTextHeadingRule:12:&lt;h1&gt; --><h1 id="toc6"><a name="Books"></a><!-- ws:end:WikiTextHeadingRule:12 -->Books</h1> | ||
<!-- ws:start:WikiTextRemoteImageRule: | <!-- ws:start:WikiTextRemoteImageRule:737:&lt;a href=&quot;http://www.ronsword.com/&quot; target=&quot;_blank&quot; rel=&quot;nofollow&quot;&gt;&lt;img src=&quot;http://ronsword.com/images/20_tet_Coversm.jpg&quot; alt=&quot;&quot; title=&quot;&quot; style=&quot;height: 114px; width: 82px;&quot; /&gt;&lt;/a&gt; --><a href="http://www.ronsword.com/" target="_blank" rel="nofollow"><img src="http://ronsword.com/images/20_tet_Coversm.jpg" alt="external image 20_tet_Coversm.jpg" title="external image 20_tet_Coversm.jpg" style="height: 114px; width: 82px;" /></a><!-- ws:end:WikiTextRemoteImageRule:737 --><a class="wiki_link_ext" href="http://www.ronsword.com/" rel="nofollow" target="_blank">&quot;Icosaphonic Scales for Guitar&quot; - Theory / Scale book with above modes and more</a> by <a class="wiki_link" href="/Ron%20Sword">Ron Sword</a></body></html></pre></div> | ||