29edo: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 537682784 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 545660880 - 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:JosephRuhf|JosephRuhf]] and made on <tt>2015- | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-03-28 17:34:13 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>545660880</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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[[List of 29et rank two temperaments by badness]] | [[List of 29et rank two temperaments by badness]] | ||
||~ Degrees of 29-EDO ||~ Cents value ||~ Approx. ratios of the [[15-limit]] ||~ Generator for temperaments || | ||~ Degrees of 29-EDO ||~ Cents value | ||
DMS value ||~ Approx. ratios of the [[15-limit]] ||~ Generator for temperaments || | |||
|| 0 || 0 || 1/1 || || | || 0 || 0 || 1/1 || || | ||
|| 1 || 41.379 || 25/24~33/32~56/55~81/80 || || | || 1 || 41.379 | ||
|| 2 || 82.759 || 21/20 || [[xenharmonic/Nautilus|Nautilus]] || | 12°24'50" || 25/24~33/32~56/55~81/80 || || | ||
|| 3 || 124.138 || 16/15, 15/14, 14/13, 13/12 || [[xenharmonic/Negri|Negri]]/[[xenharmonic/Negril|Negril]] || | || 2 || 82.759 | ||
|| 4 || 165.517 || 12/11, 11/10 || [[xenharmonic/Porcupine|Porcupine]]/[[xenharmonic/Porky|Porky]]/[[xenharmonic/Coendou|Coendou]] || | 24°49'39" || 21/20 || [[xenharmonic/Nautilus|Nautilus]] || | ||
|| 5 || 206.897 || 9/8 || || | || 3 || 124.138 | ||
|| 6 || 248.276 || 8/7, 7/6, 15/13 || [[xenharmonic/Chromatic pairs#Bridgetown|Bridgetown]]/[[xenharmonic/Immunity|Immunity]] || | 37°14'29" || 16/15, 15/14, 14/13, 13/12 || [[xenharmonic/Negri|Negri]]/[[xenharmonic/Negril|Negril]] || | ||
|| 7· || 289.655 || 13/11 || || | || 4 || 165.517 | ||
|| 8 || 331.034 || 6/5, 11/9 || || | 49°39'19" || 12/11, 11/10 || [[xenharmonic/Porcupine|Porcupine]]/[[xenharmonic/Porky|Porky]]/[[xenharmonic/Coendou|Coendou]] || | ||
|| 9 || 372.414 || 5/4, 16/13 || || | || 5 || 206.897 | ||
|| 10 || 413.793 || 14/11 || [[xenharmonic/Roman|Roman]] || | 62°4'8" || 9/8 || || | ||
|| 11 || 455.172 || 9/7, 13/10 || [[xenharmonic/Ammonite|Ammonite]] || | || 6 || 248.276 | ||
|| 12· || 496.552 || 4/3 || [[xenharmonic/Cassandra|Cassandra]] [[Chromatic pairs#Edson|Edson]] [[Chromatic pairs#Pepperoni|Pepperoni]] || | 74°28'58" || 8/7, 7/6, 15/13 || [[xenharmonic/Chromatic pairs#Bridgetown|Bridgetown]]/[[xenharmonic/Immunity|Immunity]] || | ||
|| 13 || 537.931 || 11/8, 15/11 || [[Wilsec]] || | || 7· || 289.655 | ||
|| 14 || 579.310 || 7/5, 18/13 || [[xenharmonic/Tritonic|Tritonic]] || | 86°53'48" || 13/11 || || | ||
|| 15 || 620.690 || 10/7, 13/9 || || | || 8 || 331.034 | ||
|| 16 || 662.069 || 16/11, 22/15 || || | 99°18'37" || 6/5, 11/9 || || | ||
|| 17· || 703.448 || 3/2 || || | || 9 || 372.414 | ||
|| 18 || 744.828 || 14/9, 20/13 || || | 111°43'27" || 5/4, 16/13 || || | ||
|| 19 || 786.207 || 11/7 || || | || 10 || 413.793 | ||
|| 20 || 827.586 || 8/5, 13/8 || || | 124°8'17" || 14/11 || [[xenharmonic/Roman|Roman]] || | ||
|| 21 || 868.966 || 5/3, 18/11 || || | || 11 || 455.172 | ||
|| 22· || 910.345 || 22/13 || || | 136°33'6" || 9/7, 13/10 || [[xenharmonic/Ammonite|Ammonite]] || | ||
|| 23 || 951.724 || 7/4, 12/7, 26/15 || || | || 12· || 496.552 | ||
|| 24 || 993.103 || 16/9 || || | 148°57'56" || 4/3 || [[xenharmonic/Cassandra|Cassandra]] [[Chromatic pairs#Edson|Edson]] [[Chromatic pairs#Pepperoni|Pepperoni]] || | ||
|| 25 || 1034.483 || 11/6, 20/11 || || | || 13 || 537.931 | ||
|| 26 || 1075.862 || 15/8, 28/15, 13/7, 24/13 || || | 161°21'46" || 11/8, 15/11 || [[Wilsec]] || | ||
|| 27 || 1117.241 || 40/21 || || | || 14 || 579.310 | ||
|| 28 || 1158.621 || 48/25~64/33~55/28 ~160/81 || || | 173°46'35" || 7/5, 18/13 || [[xenharmonic/Tritonic|Tritonic]] || | ||
|| 15 || 620.690 | |||
186°13'25" || 10/7, 13/9 || || | |||
|| 16 || 662.069 | |||
198°38'14" || 16/11, 22/15 || || | |||
|| 17· || 703.448 | |||
211°2'4" || 3/2 || || | |||
|| 18 || 744.828 | |||
223°26'54" || 14/9, 20/13 || || | |||
|| 19 || 786.207 | |||
235°51'43" || 11/7 || || | |||
|| 20 || 827.586 | |||
248°16'33* || 8/5, 13/8 || || | |||
|| 21 || 868.966 | |||
262°41'23" || 5/3, 18/11 || || | |||
|| 22· || 910.345 | |||
273°6'12" || 22/13 || || | |||
|| 23 || 951.724 | |||
285°31'2" || 7/4, 12/7, 26/15 || || | |||
|| 24 || 993.103 | |||
297°55'52" || 16/9 || || | |||
|| 25 || 1034.483 | |||
310°20'41" || 11/6, 20/11 || || | |||
|| 26 || 1075.862 | |||
322°45'31" || 15/8, 28/15, 13/7, 24/13 || || | |||
|| 27 || 1117.241 | |||
335°10'21" || 40/21 || || | |||
|| 28 || 1158.621 | |||
347°35'10" || 48/25~64/33~55/28 ~160/81 || || | |||
See also: [[29edo solfege]] | See also: [[29edo solfege]] | ||
[[image:29edothumb.png caption="this example in Sagittal notation shows 29-edo as a fifth-tone system."]] | [[image:29edothumb.png caption="this example in Sagittal notation shows 29-edo as a fifth-tone system."]] | ||
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</th> | </th> | ||
<th>Cents value<br /> | <th>Cents value<br /> | ||
DMS value<br /> | |||
</th> | </th> | ||
<th>Approx. ratios of the <a class="wiki_link" href="/15-limit">15-limit</a><br /> | <th>Approx. ratios of the <a class="wiki_link" href="/15-limit">15-limit</a><br /> | ||
| Line 149: | Line 179: | ||
</td> | </td> | ||
<td>41.379<br /> | <td>41.379<br /> | ||
12°24'50&quot;<br /> | |||
</td> | </td> | ||
<td>25/24~33/32~56/55~81/80<br /> | <td>25/24~33/32~56/55~81/80<br /> | ||
| Line 159: | Line 190: | ||
</td> | </td> | ||
<td>82.759<br /> | <td>82.759<br /> | ||
24°49'39&quot;<br /> | |||
</td> | </td> | ||
<td>21/20<br /> | <td>21/20<br /> | ||
| Line 169: | Line 201: | ||
</td> | </td> | ||
<td>124.138<br /> | <td>124.138<br /> | ||
37°14'29&quot;<br /> | |||
</td> | </td> | ||
<td>16/15, 15/14, 14/13, 13/12<br /> | <td>16/15, 15/14, 14/13, 13/12<br /> | ||
| Line 179: | Line 212: | ||
</td> | </td> | ||
<td>165.517<br /> | <td>165.517<br /> | ||
49°39'19&quot;<br /> | |||
</td> | </td> | ||
<td>12/11, 11/10<br /> | <td>12/11, 11/10<br /> | ||
| Line 189: | Line 223: | ||
</td> | </td> | ||
<td>206.897<br /> | <td>206.897<br /> | ||
62°4'8&quot;<br /> | |||
</td> | </td> | ||
<td>9/8<br /> | <td>9/8<br /> | ||
| Line 199: | Line 234: | ||
</td> | </td> | ||
<td>248.276<br /> | <td>248.276<br /> | ||
74°28'58&quot;<br /> | |||
</td> | </td> | ||
<td>8/7, 7/6, 15/13<br /> | <td>8/7, 7/6, 15/13<br /> | ||
| Line 209: | Line 245: | ||
</td> | </td> | ||
<td>289.655<br /> | <td>289.655<br /> | ||
86°53'48&quot;<br /> | |||
</td> | </td> | ||
<td>13/11<br /> | <td>13/11<br /> | ||
| Line 219: | Line 256: | ||
</td> | </td> | ||
<td>331.034<br /> | <td>331.034<br /> | ||
99°18'37&quot;<br /> | |||
</td> | </td> | ||
<td>6/5, 11/9<br /> | <td>6/5, 11/9<br /> | ||
| Line 229: | Line 267: | ||
</td> | </td> | ||
<td>372.414<br /> | <td>372.414<br /> | ||
111°43'27&quot;<br /> | |||
</td> | </td> | ||
<td>5/4, 16/13<br /> | <td>5/4, 16/13<br /> | ||
| Line 239: | Line 278: | ||
</td> | </td> | ||
<td>413.793<br /> | <td>413.793<br /> | ||
124°8'17&quot;<br /> | |||
</td> | </td> | ||
<td>14/11<br /> | <td>14/11<br /> | ||
| Line 249: | Line 289: | ||
</td> | </td> | ||
<td>455.172<br /> | <td>455.172<br /> | ||
136°33'6&quot;<br /> | |||
</td> | </td> | ||
<td>9/7, 13/10<br /> | <td>9/7, 13/10<br /> | ||
| Line 259: | Line 300: | ||
</td> | </td> | ||
<td>496.552<br /> | <td>496.552<br /> | ||
148°57'56&quot;<br /> | |||
</td> | </td> | ||
<td>4/3<br /> | <td>4/3<br /> | ||
| Line 269: | Line 311: | ||
</td> | </td> | ||
<td>537.931<br /> | <td>537.931<br /> | ||
161°21'46&quot;<br /> | |||
</td> | </td> | ||
<td>11/8, 15/11<br /> | <td>11/8, 15/11<br /> | ||
| Line 279: | Line 322: | ||
</td> | </td> | ||
<td>579.310<br /> | <td>579.310<br /> | ||
173°46'35&quot;<br /> | |||
</td> | </td> | ||
<td>7/5, 18/13<br /> | <td>7/5, 18/13<br /> | ||
| Line 289: | Line 333: | ||
</td> | </td> | ||
<td>620.690<br /> | <td>620.690<br /> | ||
186°13'25&quot;<br /> | |||
</td> | </td> | ||
<td>10/7, 13/9<br /> | <td>10/7, 13/9<br /> | ||
| Line 299: | Line 344: | ||
</td> | </td> | ||
<td>662.069<br /> | <td>662.069<br /> | ||
198°38'14&quot;<br /> | |||
</td> | </td> | ||
<td>16/11, 22/15<br /> | <td>16/11, 22/15<br /> | ||
| Line 309: | Line 355: | ||
</td> | </td> | ||
<td>703.448<br /> | <td>703.448<br /> | ||
211°2'4&quot;<br /> | |||
</td> | </td> | ||
<td>3/2<br /> | <td>3/2<br /> | ||
| Line 319: | Line 366: | ||
</td> | </td> | ||
<td>744.828<br /> | <td>744.828<br /> | ||
223°26'54&quot;<br /> | |||
</td> | </td> | ||
<td>14/9, 20/13<br /> | <td>14/9, 20/13<br /> | ||
| Line 329: | Line 377: | ||
</td> | </td> | ||
<td>786.207<br /> | <td>786.207<br /> | ||
235°51'43&quot;<br /> | |||
</td> | </td> | ||
<td>11/7<br /> | <td>11/7<br /> | ||
| Line 339: | Line 388: | ||
</td> | </td> | ||
<td>827.586<br /> | <td>827.586<br /> | ||
248°16'33*<br /> | |||
</td> | </td> | ||
<td>8/5, 13/8<br /> | <td>8/5, 13/8<br /> | ||
| Line 349: | Line 399: | ||
</td> | </td> | ||
<td>868.966<br /> | <td>868.966<br /> | ||
262°41'23&quot;<br /> | |||
</td> | </td> | ||
<td>5/3, 18/11<br /> | <td>5/3, 18/11<br /> | ||
| Line 359: | Line 410: | ||
</td> | </td> | ||
<td>910.345<br /> | <td>910.345<br /> | ||
273°6'12&quot;<br /> | |||
</td> | </td> | ||
<td>22/13<br /> | <td>22/13<br /> | ||
| Line 369: | Line 421: | ||
</td> | </td> | ||
<td>951.724<br /> | <td>951.724<br /> | ||
285°31'2&quot;<br /> | |||
</td> | </td> | ||
<td>7/4, 12/7, 26/15<br /> | <td>7/4, 12/7, 26/15<br /> | ||
| Line 379: | Line 432: | ||
</td> | </td> | ||
<td>993.103<br /> | <td>993.103<br /> | ||
297°55'52&quot;<br /> | |||
</td> | </td> | ||
<td>16/9<br /> | <td>16/9<br /> | ||
| Line 389: | Line 443: | ||
</td> | </td> | ||
<td>1034.483<br /> | <td>1034.483<br /> | ||
310°20'41&quot;<br /> | |||
</td> | </td> | ||
<td>11/6, 20/11<br /> | <td>11/6, 20/11<br /> | ||
| Line 399: | Line 454: | ||
</td> | </td> | ||
<td>1075.862<br /> | <td>1075.862<br /> | ||
322°45'31&quot;<br /> | |||
</td> | </td> | ||
<td>15/8, 28/15, 13/7, 24/13<br /> | <td>15/8, 28/15, 13/7, 24/13<br /> | ||
| Line 409: | Line 465: | ||
</td> | </td> | ||
<td>1117.241<br /> | <td>1117.241<br /> | ||
335°10'21&quot;<br /> | |||
</td> | </td> | ||
<td>40/21<br /> | <td>40/21<br /> | ||
| Line 419: | Line 476: | ||
</td> | </td> | ||
<td>1158.621<br /> | <td>1158.621<br /> | ||
347°35'10&quot;<br /> | |||
</td> | </td> | ||
<td>48/25~64/33~55/28 ~160/81<br /> | <td>48/25~64/33~55/28 ~160/81<br /> | ||