20edo: Difference between revisions

Wikispaces>PiotrGrochowski
**Imported revision 589259408 - Original comment: **
Wikispaces>JosephRuhf
**Imported revision 597506976 - Original comment: **
Line 1: Line 1:
<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:PiotrGrochowski|PiotrGrochowski]] and made on <tt>2016-08-12 14:22:41 UTC</tt>.<br>
: This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2016-10-30 18:26:31 UTC</tt>.<br>
: The original revision id was <tt>589259408</tt>.<br>
: The original revision id was <tt>597506976</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>
Line 24: Line 24:
=Properties=  
=Properties=  
==Intervals==  
==Intervals==  
|| **Degree** || **Cents**
|| **Degree** || **Cents coarse/fine**
**DMS** ||= **Approximate**
**DMS** ||= **Approximate**
**Ratios** ||= **Nearest**
**Ratios** ||= **Nearest**
**Harmonic** ||
**Harmonic** ||
|| 0 || 0 ||= 1/1 ||= 1 ||
|| 0 || 0 ||= 1/1 ||= 1 ||
|| 1 || 60
|| 1 || 60, 72
18° ||= 29/28 ||= 33 ||
18° ||= 29/28 ||= 33 ||
|| 2 || 120
|| 2 || 120, 144
36° ||= 14/13, 15/14 ||= 69 ||
36° ||= 14/13, 15/14 ||= 69 ||
|| 3 || 180
|| 3 || 180, 216
54° ||= 10/9 ||= 71 ||
54° ||= 10/9 ||= 71 ||
|| 4 || 240
|| 4 || 240, 288
72° ||= 8/7, 15/13 ||= 37 ||
72° ||= 8/7, 15/13 ||= 37 ||
|| 5 || 300
|| 5 || 300, 360
90° ||= 13/11, 19/16 ||= 19 ||
90° ||= 13/11, 19/16 ||= 19 ||
|| 6 || 360
|| 6 || 360, 432
108° ||= 16/13, 5/4 ||= 79 ||
108° ||= 16/13, 5/4 ||= 79 ||
|| 7 || 420
|| 7 || 420, 504
126° ||= [[14_11|14/11]], [[51_40|51/40]] ||= 41 ||
126° ||= [[14_11|14/11]], [[51_40|51/40]] ||= 41 ||
|| 8 || 480
|| 8 || 480, 576
144° ||= 25/19, 4/3 ||= 21 ||
144° ||= 25/19, 4/3 ||= 21 ||
|| 9 || 540
|| 9 || 540, 648
162° ||= 15/11, 11/8 ||= 11 ||
162° ||= 15/11, 11/8 ||= 11 ||
|| 10 || 600
|| 10 || 600, 720
180° ||= 7/5 ||= 91 ||
180° ||= 7/5 ||= 91 ||
|| 11 || 660
|| 11 || 660, 792
198° ||= 22/15, 16/11 ||= 47 ||
198° ||= 22/15, 16/11 ||= 47 ||
|| 12 || 720
|| 12 || 720, 864
216° ||= 38/25, 3/2 ||= 97 ||
216° ||= 38/25, 3/2 ||= 97 ||
|| 13 || 780
|| 13 || 780, 936
234° ||= 11/7, 25/16 ||= 25 ||
234° ||= 11/7, 25/16 ||= 25 ||
|| 14 || 840
|| 14 || 840, 1008
252° ||= 13/8, 8/5 ||= 13 ||
252° ||= 13/8, 8/5 ||= 13 ||
|| 15 || 900
|| 15 || 900, 1080
270° ||= 22/13, 32/19 ||= 27 ||
270° ||= 22/13, 32/19 ||= 27 ||
|| 16 || 960
|| 16 || 960, 1152
288° ||= 7/4, 26/15 ||= 7 ||
288° ||= 7/4, 26/15 ||= 7 ||
|| 17 || 1020
|| 17 || 1020, 1224
306° ||= 9/5 ||= 115 ||
306° ||= 9/5 ||= 115 ||
|| 18 || 1080
|| 18 || 1080, 1296
324° ||= 15/8, 13/7 ||= 15 ||
324° ||= 15/8, 13/7 ||= 15 ||
|| 19 || 1140
|| 19 || 1140, 1368
342° ||= 56/29 ||= 31 ||
342° ||= 56/29 ||= 31 ||
|| 20 || 1200
|| 20 || 1200, 1440
360° ||= 2/1 ||= 2 ||
360° ||= 2/1 ||= 2 ||
==Modes==  
==Modes==  
Line 92: Line 92:


==Commas==  
==Commas==  
20 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] &lt; 20 32 46 56 69 74 |.)
20 EDO [[tempering out|tempers out]] the following [[comma]]s. (Note: This assumes the [[val]] &lt; [[tel:20 32 46 56 69 74|20 32 46 56 69 74]] |.)
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
||~ Comma ||~ Monzo ||~ Value (Cents) ||~ Name 1 ||~ Name 2 ||~ Name 3 ||
||= 256/243 ||&lt; | 8 -5 &gt; ||&gt; 90.22 ||= [[Limma]] ||= Pythagorean Minor 2nd ||=  ||
||= 256/243 ||&lt; | 8 -5 &gt; ||&gt; 90.22 ||= [[Limma]] ||= Pythagorean Minor 2nd ||=  ||
||= 16875/16384 ||&lt; | -14 3 4 &gt; ||&gt; 51.12 ||= Negri Comma ||= Double Augmentation Diesis ||  ||
||= 16875/16384 ||&lt; | -14 3 4 &gt; ||&gt; 51.12 ||= Negri Comma ||= Double Augmentation Diesis ||  ||
||= 9931568/9752117 ||&lt; | -25 7 6 &gt; ||&gt; 31.57 ||= Ampersand's Comma ||=  ||=  ||
||= [[tel:9931568/9752117|9931568/9752117]] ||&lt; | -25 7 6 &gt; ||&gt; 31.57 ||= Ampersand's Comma ||=  ||=  ||
||= 2048/2025 ||&lt; | 11 -4 -2 &gt; ||&gt; 19.55 ||= Diaschisma ||=  ||=  ||
||= 2048/2025 ||&lt; | 11 -4 -2 &gt; ||&gt; 19.55 ||= Diaschisma ||=  ||=  ||
||= 525/512 ||&lt; | -9 1 2 1 &gt; ||&gt; 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||  ||
||= 525/512 ||&lt; | -9 1 2 1 &gt; ||&gt; 43.41 ||= Avicennma ||= Avicenna's Enharmonic Diesis ||  ||
Line 103: Line 103:
||= 686/675 ||&lt; | 1 -3 -2 3 &gt; ||&gt; 27.99 ||= Senga ||=  ||=  ||
||= 686/675 ||&lt; | 1 -3 -2 3 &gt; ||&gt; 27.99 ||= Senga ||=  ||=  ||
||= 64/63 ||&lt; | 6 -2 0 -1 &gt; ||&gt; 27.26 ||= Septimal Comma ||= Archytas' Comma ||= Leipziger Komma ||
||= 64/63 ||&lt; | 6 -2 0 -1 &gt; ||&gt; 27.26 ||= Septimal Comma ||= Archytas' Comma ||= Leipziger Komma ||
||= 9859966/9733137 ||&lt; | -10 7 8 -7 &gt; ||&gt; 22.41 ||= Blackjackisma ||=  ||=  ||
||= [[tel:9859966/9733137|9859966/9733137]] ||&lt; | -10 7 8 -7 &gt; ||&gt; 22.41 ||= Blackjackisma ||=  ||=  ||
||= 1029/1024 ||&lt; | -10 1 0 3 &gt; ||&gt; 8.43 ||= Gamelisma ||=  ||=  ||
||= 1029/1024 ||&lt; | -10 1 0 3 &gt; ||&gt; 8.43 ||= Gamelisma ||=  ||=  ||
||= 225/224 ||&lt; | -5 2 2 -1 &gt; ||&gt; 7.71 ||= Septimal Kleisma ||= Marvel Comma ||=  ||
||= 225/224 ||&lt; | -5 2 2 -1 &gt; ||&gt; 7.71 ||= Septimal Kleisma ||= Marvel Comma ||=  ||
||= 16875/16807 ||&lt; | 0 3 4 -5 &gt; ||&gt; 6.99 ||= Mirkwai ||=  ||=  ||
||= 16875/16807 ||&lt; | 0 3 4 -5 &gt; ||&gt; 6.99 ||= Mirkwai ||=  ||=  ||
||= 6772805/6751042 ||&lt; | 11 -10 -10 10 &gt; ||&gt; 5.57 ||= Linus ||=  ||=  ||
||= [[tel:6772805/6751042|6772805/6751042]] ||&lt; | [[tel:11 -10 -10 10|11 -10 -10 10]] &gt; ||&gt; 5.57 ||= Linus ||=  ||=  ||
||= 2401/2400 ||&lt; | -5 -1 -2 4 &gt; ||&gt; 0.72 ||= Breedsma ||=  ||=  ||
||= 2401/2400 ||&lt; | -5 -1 -2 4 &gt; ||&gt; 0.72 ||= Breedsma ||=  ||=  ||
||= 121/120 ||&lt; | -3 -1 -1 0 2 &gt; ||&gt; 14.37 ||= Biyatisma ||=  ||=  ||
||= 121/120 ||&lt; | -3 -1 -1 0 2 &gt; ||&gt; 14.37 ||= Biyatisma ||=  ||=  ||
Line 132: Line 132:
         &lt;td&gt;&lt;strong&gt;Degree&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;&lt;strong&gt;Degree&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;&lt;strong&gt;Cents&lt;/strong&gt;&lt;br /&gt;
         &lt;td&gt;&lt;strong&gt;Cents coarse/fine&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;DMS&lt;/strong&gt;&lt;br /&gt;
&lt;strong&gt;DMS&lt;/strong&gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 155: Line 155:
         &lt;td&gt;1&lt;br /&gt;
         &lt;td&gt;1&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;60&lt;br /&gt;
         &lt;td&gt;60, 72&lt;br /&gt;
18°&lt;br /&gt;
18°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 166: Line 166:
         &lt;td&gt;2&lt;br /&gt;
         &lt;td&gt;2&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;120&lt;br /&gt;
         &lt;td&gt;120, 144&lt;br /&gt;
36°&lt;br /&gt;
36°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 177: Line 177:
         &lt;td&gt;3&lt;br /&gt;
         &lt;td&gt;3&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;180&lt;br /&gt;
         &lt;td&gt;180, 216&lt;br /&gt;
54°&lt;br /&gt;
54°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 188: Line 188:
         &lt;td&gt;4&lt;br /&gt;
         &lt;td&gt;4&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;240&lt;br /&gt;
         &lt;td&gt;240, 288&lt;br /&gt;
72°&lt;br /&gt;
72°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 199: Line 199:
         &lt;td&gt;5&lt;br /&gt;
         &lt;td&gt;5&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;300&lt;br /&gt;
         &lt;td&gt;300, 360&lt;br /&gt;
90°&lt;br /&gt;
90°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 210: Line 210:
         &lt;td&gt;6&lt;br /&gt;
         &lt;td&gt;6&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;360&lt;br /&gt;
         &lt;td&gt;360, 432&lt;br /&gt;
108°&lt;br /&gt;
108°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 221: Line 221:
         &lt;td&gt;7&lt;br /&gt;
         &lt;td&gt;7&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;420&lt;br /&gt;
         &lt;td&gt;420, 504&lt;br /&gt;
126°&lt;br /&gt;
126°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 232: Line 232:
         &lt;td&gt;8&lt;br /&gt;
         &lt;td&gt;8&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;480&lt;br /&gt;
         &lt;td&gt;480, 576&lt;br /&gt;
144°&lt;br /&gt;
144°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 243: Line 243:
         &lt;td&gt;9&lt;br /&gt;
         &lt;td&gt;9&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;540&lt;br /&gt;
         &lt;td&gt;540, 648&lt;br /&gt;
162°&lt;br /&gt;
162°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 254: Line 254:
         &lt;td&gt;10&lt;br /&gt;
         &lt;td&gt;10&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;600&lt;br /&gt;
         &lt;td&gt;600, 720&lt;br /&gt;
180°&lt;br /&gt;
180°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 265: Line 265:
         &lt;td&gt;11&lt;br /&gt;
         &lt;td&gt;11&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;660&lt;br /&gt;
         &lt;td&gt;660, 792&lt;br /&gt;
198°&lt;br /&gt;
198°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 276: Line 276:
         &lt;td&gt;12&lt;br /&gt;
         &lt;td&gt;12&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;720&lt;br /&gt;
         &lt;td&gt;720, 864&lt;br /&gt;
216°&lt;br /&gt;
216°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 287: Line 287:
         &lt;td&gt;13&lt;br /&gt;
         &lt;td&gt;13&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;780&lt;br /&gt;
         &lt;td&gt;780, 936&lt;br /&gt;
234°&lt;br /&gt;
234°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 298: Line 298:
         &lt;td&gt;14&lt;br /&gt;
         &lt;td&gt;14&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;840&lt;br /&gt;
         &lt;td&gt;840, 1008&lt;br /&gt;
252°&lt;br /&gt;
252°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 309: Line 309:
         &lt;td&gt;15&lt;br /&gt;
         &lt;td&gt;15&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;900&lt;br /&gt;
         &lt;td&gt;900, 1080&lt;br /&gt;
270°&lt;br /&gt;
270°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 320: Line 320:
         &lt;td&gt;16&lt;br /&gt;
         &lt;td&gt;16&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;960&lt;br /&gt;
         &lt;td&gt;960, 1152&lt;br /&gt;
288°&lt;br /&gt;
288°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 331: Line 331:
         &lt;td&gt;17&lt;br /&gt;
         &lt;td&gt;17&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1020&lt;br /&gt;
         &lt;td&gt;1020, 1224&lt;br /&gt;
306°&lt;br /&gt;
306°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 342: Line 342:
         &lt;td&gt;18&lt;br /&gt;
         &lt;td&gt;18&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1080&lt;br /&gt;
         &lt;td&gt;1080, 1296&lt;br /&gt;
324°&lt;br /&gt;
324°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 353: Line 353:
         &lt;td&gt;19&lt;br /&gt;
         &lt;td&gt;19&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1140&lt;br /&gt;
         &lt;td&gt;1140, 1368&lt;br /&gt;
342°&lt;br /&gt;
342°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 364: Line 364:
         &lt;td&gt;20&lt;br /&gt;
         &lt;td&gt;20&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td&gt;1200&lt;br /&gt;
         &lt;td&gt;1200, 1440&lt;br /&gt;
360°&lt;br /&gt;
360°&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
Line 497: Line 497:
&lt;br /&gt;
&lt;br /&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Properties-Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Commas&lt;/h2&gt;
&lt;!-- ws:start:WikiTextHeadingRule:10:&amp;lt;h2&amp;gt; --&gt;&lt;h2 id="toc5"&gt;&lt;a name="Properties-Commas"&gt;&lt;/a&gt;&lt;!-- ws:end:WikiTextHeadingRule:10 --&gt;Commas&lt;/h2&gt;
  20 EDO &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; the following &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;s. (Note: This assumes the &lt;a class="wiki_link" href="/val"&gt;val&lt;/a&gt; &amp;lt; 20 32 46 56 69 74 |.)&lt;br /&gt;
  20 EDO &lt;a class="wiki_link" href="/tempering%20out"&gt;tempers out&lt;/a&gt; the following &lt;a class="wiki_link" href="/comma"&gt;comma&lt;/a&gt;s. (Note: This assumes the &lt;a class="wiki_link" href="/val"&gt;val&lt;/a&gt; &amp;lt; &lt;a class="wiki_link" href="http://tel.wikispaces.com/20%2032%2046%2056%2069%2074"&gt;20 32 46 56 69 74&lt;/a&gt; |.)&lt;br /&gt;




Line 544: Line 544:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td style="text-align: center;"&gt;9931568/9752117&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;[[tel:9931568/9752117|9931568/9752117]]&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;| -25 7 6 &amp;gt;&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;| -25 7 6 &amp;gt;&lt;br /&gt;
Line 642: Line 642:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td style="text-align: center;"&gt;9859966/9733137&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;[[tel:9859966/9733137|9859966/9733137]]&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;| -10 7 8 -7 &amp;gt;&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;| -10 7 8 -7 &amp;gt;&lt;br /&gt;
Line 698: Line 698:
     &lt;/tr&gt;
     &lt;/tr&gt;
     &lt;tr&gt;
     &lt;tr&gt;
         &lt;td style="text-align: center;"&gt;6772805/6751042&lt;br /&gt;
         &lt;td style="text-align: center;"&gt;[[tel:6772805/6751042|6772805/6751042]]&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: left;"&gt;| 11 -10 -10 10 &amp;gt;&lt;br /&gt;
         &lt;td style="text-align: left;"&gt;| &lt;a class="wiki_link" href="http://tel.wikispaces.com/11%20-10%20-10%2010"&gt;11 -10 -10 10&lt;/a&gt; &amp;gt;&lt;br /&gt;
&lt;/td&gt;
&lt;/td&gt;
         &lt;td style="text-align: right;"&gt;5.57&lt;br /&gt;
         &lt;td style="text-align: right;"&gt;5.57&lt;br /&gt;