20edo: Difference between revisions
Wikispaces>TallKite **Imported revision 599949126 - Original comment: ** |
Wikispaces>TallKite **Imported revision 599956060 - 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>2016-11-21 | : This revision was by author [[User:TallKite|TallKite]] and made on <tt>2016-11-21 06:23:59 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>599956060</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** |||| [[Ups and Downs Notation|up/down notation]] ||= **Approximate** | **DMS** ||||||= [[Ups and Downs Notation|up/down notation]] ||= **Approximate** | ||
**Ratios** ||= **Nearest** | **Ratios** ||= **Nearest** | ||
**Harmonic** || | **Harmonic** || | ||
|| 0 || 0 || P1 || D ||= 1/1 ||= 1 || | || 0 || 0 || unison || P1 || D ||= 1/1 ||= 1 || | ||
|| 1 || 60, 72 | || 1 || 60, 72 | ||
18° || ^m2 || D^ ||= 29/28 ||= 33 || | 18° || upminor 2nd || ^m2 || D^ ||= 29/28 ||= 33 || | ||
|| 2 || 120, 144 | || 2 || 120, 144 | ||
36° || ~2 || D^^, Evv ||= 14/13, 15/14 ||= 69 || | 36° || mid 2nd || ~2 || D^^, Evv ||= 14/13, 15/14 ||= 69 || | ||
|| 3 || 180, 216 | || 3 || 180, 216 | ||
54° || vM2 || Ev ||= 10/9 ||= 71 || | 54° || downmajor 2nd || vM2 || Ev ||= 10/9 ||= 71 || | ||
|| 4 || 240, 288 | || 4 || 240, 288 | ||
72° || M2, m3 || E, F ||= 8/7, 15/13 ||= 37 || | 72° || major 2nd, | ||
minor 3rd || M2, m3 || E, F ||= 8/7, 15/13 ||= 37 || | |||
|| 5 || 300, 360 | || 5 || 300, 360 | ||
90° || ^m3 || F^ ||= 13/11, 19/16 ||= 19 || | 90° || upminor 3rd || ^m3 || F^ ||= 13/11, 19/16 ||= 19 || | ||
|| 6 || 360, 432 | || 6 || 360, 432 | ||
108° || ~3 || F^^ ||= 16/13, 5/4 ||= 79 || | 108° || mid 3rd || ~3 || F^^ ||= 16/13, 5/4 ||= 79 || | ||
|| 7 || 420, 504 | || 7 || 420, 504 | ||
126° || vM3 || F#v ||= [[14_11|14/11]], [[51_40|51/40]] ||= 41 || | 126° || downmajor 3rd || vM3 || F#v ||= [[14_11|14/11]], [[51_40|51/40]] ||= 41 || | ||
|| 8 || 480, 576 | || 8 || 480, 576 | ||
144° || M3, P4 || F#, G ||= 25/19, 4/3 ||= 21 || | 144° || major 3rd, | ||
perfect fourth || M3, P4 || F#, G ||= 25/19, 4/3 ||= 21 || | |||
|| 9 || 540, 648 | || 9 || 540, 648 | ||
162° || ^4 || G^ ||= 15/11, 11/8 ||= 11 || | 162° || up-fourth || ^4 || G^ ||= 15/11, 11/8 ||= 11 || | ||
|| 10 || 600, 720 | || 10 || 600, 720 | ||
180° || ^^4, vv5 || G^^, Avv ||= 7/5 ||= 91 || | 180° || double-up fourth, | ||
double-down fifth || ^^4, vv5 || G^^, Avv ||= 7/5 ||= 91 || | |||
|| 11 || 660, 792 | || 11 || 660, 792 | ||
198° || v5 || Av ||= 22/15, 16/11 ||= 47 || | 198° || down-fifth || v5 || Av ||= 22/15, 16/11 ||= 47 || | ||
|| 12 || 720, 864 | || 12 || 720, 864 | ||
216° || P5, m6 || A ||= 38/25, 3/2 ||= 97 || | 216° || fifth || P5, m6 || A ||= 38/25, 3/2 ||= 97 || | ||
|| 13 || 780, 936 | || 13 || 780, 936 | ||
234° || ^m6 || A^ ||= 11/7, 25/16 ||= 25 || | 234° || upminor 6th || ^m6 || A^ ||= 11/7, 25/16 ||= 25 || | ||
|| 14 || 840, 1008 | || 14 || 840, 1008 | ||
252° || ~6 || A^^, Bvv ||= 13/8, 8/5 ||= 13 || | 252° || mid 6th || ~6 || A^^, Bvv ||= 13/8, 8/5 ||= 13 || | ||
|| 15 || 900, 1080 | || 15 || 900, 1080 | ||
270° || vM6 || Bv ||= 22/13, 32/19 ||= 27 || | 270° || downmajor 6th || vM6 || Bv ||= 22/13, 32/19 ||= 27 || | ||
|| 16 || 960, 1152 | || 16 || 960, 1152 | ||
288° || M6, m7 || B, C ||= 7/4, 26/15 ||= 7 || | 288° || major 6th, | ||
minor 7th || M6, m7 || B, C ||= 7/4, 26/15 ||= 7 || | |||
|| 17 || 1020, 1224 | || 17 || 1020, 1224 | ||
306° || ^m7 || C^ ||= 9/5 ||= 115 || | 306° || upminor 7th || ^m7 || C^ ||= 9/5 ||= 115 || | ||
|| 18 || 1080, 1296 | || 18 || 1080, 1296 | ||
324° || ~7 || C^^, Dvv ||= 15/8, 13/7 ||= 15 || | 324° || mid 7th || ~7 || C^^, Dvv ||= 15/8, 13/7 ||= 15 || | ||
|| 19 || 1140, 1368 | || 19 || 1140, 1368 | ||
342° || vM7 || Dv ||= 56/29 ||= 31 || | 342° || downmajor 7th || vM7 || Dv ||= 56/29 ||= 31 || | ||
|| 20 || 1200, 1440 | || 20 || 1200, 1440 | ||
360° || | 360° || octave || P8 || D ||= 2/1 ||= 2 || | ||
==Modes== | ==Modes== | ||
20 tone equal modes: | 20 tone equal modes: | ||
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<strong>DMS</strong><br /> | <strong>DMS</strong><br /> | ||
</td> | </td> | ||
<td colspan=" | <td colspan="3" style="text-align: center;"><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 /> | ||
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</td> | </td> | ||
<td>0<br /> | <td>0<br /> | ||
</td> | |||
<td>unison<br /> | |||
</td> | </td> | ||
<td>P1<br /> | <td>P1<br /> | ||
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<td>60, 72<br /> | <td>60, 72<br /> | ||
18°<br /> | 18°<br /> | ||
</td> | |||
<td>upminor 2nd<br /> | |||
</td> | </td> | ||
<td>^m2<br /> | <td>^m2<br /> | ||
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<td>120, 144<br /> | <td>120, 144<br /> | ||
36°<br /> | 36°<br /> | ||
</td> | |||
<td>mid 2nd<br /> | |||
</td> | </td> | ||
<td>~2<br /> | <td>~2<br /> | ||
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<td>180, 216<br /> | <td>180, 216<br /> | ||
54°<br /> | 54°<br /> | ||
</td> | |||
<td>downmajor 2nd<br /> | |||
</td> | </td> | ||
<td>vM2<br /> | <td>vM2<br /> | ||
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<td>240, 288<br /> | <td>240, 288<br /> | ||
72°<br /> | 72°<br /> | ||
</td> | |||
<td>major 2nd, <br /> | |||
minor 3rd<br /> | |||
</td> | </td> | ||
<td>M2, m3<br /> | <td>M2, m3<br /> | ||
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<td>300, 360<br /> | <td>300, 360<br /> | ||
90°<br /> | 90°<br /> | ||
</td> | |||
<td>upminor 3rd<br /> | |||
</td> | </td> | ||
<td>^m3<br /> | <td>^m3<br /> | ||
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<td>360, 432<br /> | <td>360, 432<br /> | ||
108°<br /> | 108°<br /> | ||
</td> | |||
<td>mid 3rd<br /> | |||
</td> | </td> | ||
<td>~3<br /> | <td>~3<br /> | ||
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<td>420, 504<br /> | <td>420, 504<br /> | ||
126°<br /> | 126°<br /> | ||
</td> | |||
<td>downmajor 3rd<br /> | |||
</td> | </td> | ||
<td>vM3<br /> | <td>vM3<br /> | ||
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<td>480, 576<br /> | <td>480, 576<br /> | ||
144°<br /> | 144°<br /> | ||
</td> | |||
<td>major 3rd,<br /> | |||
perfect fourth<br /> | |||
</td> | </td> | ||
<td>M3, P4<br /> | <td>M3, P4<br /> | ||
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<td>540, 648<br /> | <td>540, 648<br /> | ||
162°<br /> | 162°<br /> | ||
</td> | |||
<td>up-fourth<br /> | |||
</td> | </td> | ||
<td>^4<br /> | <td>^4<br /> | ||
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<td>600, 720<br /> | <td>600, 720<br /> | ||
180°<br /> | 180°<br /> | ||
</td> | |||
<td>double-up fourth,<br /> | |||
double-down fifth<br /> | |||
</td> | </td> | ||
<td>^^4, vv5<br /> | <td>^^4, vv5<br /> | ||
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<td>660, 792<br /> | <td>660, 792<br /> | ||
198°<br /> | 198°<br /> | ||
</td> | |||
<td>down-fifth<br /> | |||
</td> | </td> | ||
<td>v5<br /> | <td>v5<br /> | ||
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<td>720, 864<br /> | <td>720, 864<br /> | ||
216°<br /> | 216°<br /> | ||
</td> | |||
<td>fifth<br /> | |||
</td> | </td> | ||
<td>P5, m6<br /> | <td>P5, m6<br /> | ||
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<td>780, 936<br /> | <td>780, 936<br /> | ||
234°<br /> | 234°<br /> | ||
</td> | |||
<td>upminor 6th<br /> | |||
</td> | </td> | ||
<td>^m6<br /> | <td>^m6<br /> | ||
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<td>840, 1008<br /> | <td>840, 1008<br /> | ||
252°<br /> | 252°<br /> | ||
</td> | |||
<td>mid 6th<br /> | |||
</td> | </td> | ||
<td>~6<br /> | <td>~6<br /> | ||
| Line 373: | Line 410: | ||
<td>900, 1080<br /> | <td>900, 1080<br /> | ||
270°<br /> | 270°<br /> | ||
</td> | |||
<td>downmajor 6th<br /> | |||
</td> | </td> | ||
<td>vM6<br /> | <td>vM6<br /> | ||
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<td>960, 1152<br /> | <td>960, 1152<br /> | ||
288°<br /> | 288°<br /> | ||
</td> | |||
<td>major 6th,<br /> | |||
minor 7th<br /> | |||
</td> | </td> | ||
<td>M6, m7<br /> | <td>M6, m7<br /> | ||
| Line 403: | Line 445: | ||
<td>1020, 1224<br /> | <td>1020, 1224<br /> | ||
306°<br /> | 306°<br /> | ||
</td> | |||
<td>upminor 7th<br /> | |||
</td> | </td> | ||
<td>^m7<br /> | <td>^m7<br /> | ||
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<td>1080, 1296<br /> | <td>1080, 1296<br /> | ||
324°<br /> | 324°<br /> | ||
</td> | |||
<td>mid 7th<br /> | |||
</td> | </td> | ||
<td>~7<br /> | <td>~7<br /> | ||
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<td>1140, 1368<br /> | <td>1140, 1368<br /> | ||
342°<br /> | 342°<br /> | ||
</td> | |||
<td>downmajor 7th<br /> | |||
</td> | </td> | ||
<td>vM7<br /> | <td>vM7<br /> | ||
| Line 449: | Line 497: | ||
360°<br /> | 360°<br /> | ||
</td> | </td> | ||
<td> | <td>octave<br /> | ||
</td> | |||
<td>P8<br /> | |||
</td> | </td> | ||
<td>D<br /> | <td>D<br /> | ||
| Line 857: | Line 907: | ||
<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:779:&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:779 --><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> | ||