36edo: Difference between revisions
Wikispaces>genewardsmith **Imported revision 486589222 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 545673762 - 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: | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-03-28 23:39:16 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>545673762</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 62: | Line 62: | ||
And now all that (and more!) in a table, because tables are good. | And now all that (and more!) in a table, because tables are good. | ||
||~ Degrees of 36edo ||~ Cents Value ||~ Approx. ratios of 2.3.7 ||~ Additional ratios of 2.3.7.13.17 || | ||~ Degrees of 36edo ||~ Cents Value | ||
DMS Value ||~ Approx. ratios of 2.3.7 ||~ Additional ratios of 2.3.7.13.17 || | |||
||< 0 ||< 0 ||< 1/1 || || | ||< 0 ||< 0 ||< 1/1 || || | ||
||< 1 ||< 33.333 ||< 64/63 ~ 49/48 || || | ||< 1 ||< 33.333 | ||
||< 2 ||< 66.667 ||< 28/27 || || | 10° ||< 64/63 ~ 49/48 || || | ||
||< 3 ||< 100 ||< 256/243 || 17/16 ~ 18/17 || | ||< 2 ||< 66.667 | ||
||< 4 ||< 133.333 ||< 243/224 || 14/13 ~ 13/12 || | 20° ||< 28/27 || || | ||
||< 5 ||< 166.667 ||< 54/49 || || | ||< 3 ||< 100 | ||
||< 6 ||< 200 ||< 9/8 || || | 30° ||< 256/243 || 17/16 ~ 18/17 || | ||
||< 7 ||< 233.333 ||< 8/7 || || | ||< 4 ||< 133.333 | ||
||< 8 ||< 266.667 ||< 7/6 || || | 40° ||< 243/224 || 14/13 ~ 13/12 || | ||
||< 9 ||< 300 ||< 32/37 || || | ||< 5 ||< 166.667 | ||
||< 10 ||< 333.333 ||< 98/81 || 17/14 || | 50° ||< 54/49 || || | ||
||< 11 ||< 366.667 ||< 243/196 || 16/13 ~ 26/21 ~ 21/17 || | ||< 6 ||< 200 | ||
||< 12 ||< 400 ||< 81/64 || || | 60° ||< 9/8 || || | ||
||< 13 ||< 433.333 ||< 9/7 || || | ||< 7 ||< 233.333 | ||
||< 14 ||< 466.667 ||< 64/49 ~ 21/16 || 17/13 || | 70° ||< 8/7 || || | ||
||< 15 ||< 500 ||< 4/3 || || | ||< 8 ||< 266.667 | ||
||< 16 ||< 533.333 ||< 49/36 || || | 80° ||< 7/6 || || | ||
||< 17 ||< 566.667 ||< || 18/13 || | ||< 9 ||< 300 | ||
||< 18 ||< 600 ||< || || | 90° ||< 32/37 || || | ||
||< 19 ||< 633.333 ||< || 13/9 || | ||< 10 ||< 333.333 | ||
||< 20 ||< 666.667 ||< 72/49 || || | 100° ||< 98/81 || 17/14 || | ||
||< 21 ||< 700 ||< 3/2 || || | ||< 11 ||< 366.667 | ||
||< 22 ||< 733.333 ||< 49/32 ~ 32/21 || 26/17 || | 110° ||< 243/196 || 16/13 ~ 26/21 ~ 21/17 || | ||
||< 23 ||< 766.667 ||< 14/9 || || | ||< 12 ||< 400 | ||
||< 24 ||< 800 ||< 128/81 || || | 120° ||< 81/64 || || | ||
||< 25 ||< 833.333 ||< 392/243 || 13/8 ~ 21/13 ~ 34/21 || | ||< 13 ||< 433.333 | ||
||< 26 ||< 866.667 ||< 81/49 || 28/17 || | 130° ||< 9/7 || || | ||
||< 27 ||< 900 ||< 27/16 || || | ||< 14 ||< 466.667 | ||
||< 28 ||< 933.333 ||< 12/7 || || | 140° ||< 64/49 ~ 21/16 || 17/13 || | ||
||< 29 ||< 966.667 ||< 7/4 || || | ||< 15 ||< 500 | ||
||< 30 ||< 1000 ||< 16/9 || || | 150° ||< 4/3 || || | ||
||< 31 ||< 1033.333 ||< 49/27 || || | ||< 16 ||< 533.333 | ||
||< 32 ||< 1066.667 ||< 448/243 || 13/7 ~ 24/13 || | 160° ||< 49/36 || || | ||
||< 33 ||< 1100 ||< 243/128 || 32/17 ~ 17/9 || | ||< 17 ||< 566.667 | ||
||< 34 ||< 1133.333 ||< 27/14 || || | 170° ||< || 18/13 || | ||
||< 35 ||< 1166.667 ||< 63/32 ~ 96/49 || || | ||< 18 ||< 600 | ||
180° ||< || || | |||
||< 19 ||< 633.333 | |||
190° ||< || 13/9 || | |||
||< 20 ||< 666.667 | |||
200° ||< 72/49 || || | |||
||< 21 ||< 700 | |||
210° ||< 3/2 || || | |||
||< 22 ||< 733.333 | |||
220° ||< 49/32 ~ 32/21 || 26/17 || | |||
||< 23 ||< 766.667 | |||
230° ||< 14/9 || || | |||
||< 24 ||< 800 | |||
240° ||< 128/81 || || | |||
||< 25 ||< 833.333 | |||
250° ||< 392/243 || 13/8 ~ 21/13 ~ 34/21 || | |||
||< 26 ||< 866.667 | |||
260° ||< 81/49 || 28/17 || | |||
||< 27 ||< 900 | |||
270° ||< 27/16 || || | |||
||< 28 ||< 933.333 | |||
280° ||< 12/7 || || | |||
||< 29 ||< 966.667 | |||
290° ||< 7/4 || || | |||
||< 30 ||< 1000 | |||
300° ||< 16/9 || || | |||
||< 31 ||< 1033.333 | |||
310° ||< 49/27 || || | |||
||< 32 ||< 1066.667 | |||
320° ||< 448/243 || 13/7 ~ 24/13 || | |||
||< 33 ||< 1100 | |||
330° ||< 243/128 || 32/17 ~ 17/9 || | |||
||< 34 ||< 1133.333 | |||
340° ||< 27/14 || || | |||
||< 35 ||< 1166.667 | |||
350° ||< 63/32 ~ 96/49 || || | |||
=Music= | =Music= | ||
Line 169: | Line 205: | ||
</th> | </th> | ||
<th>Cents Value<br /> | <th>Cents Value<br /> | ||
DMS Value<br /> | |||
</th> | </th> | ||
<th>Approx. ratios of 2.3.7<br /> | <th>Approx. ratios of 2.3.7<br /> | ||
Line 189: | Line 226: | ||
</td> | </td> | ||
<td style="text-align: left;">33.333<br /> | <td style="text-align: left;">33.333<br /> | ||
10°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">64/63 ~ 49/48<br /> | <td style="text-align: left;">64/63 ~ 49/48<br /> | ||
Line 199: | Line 237: | ||
</td> | </td> | ||
<td style="text-align: left;">66.667<br /> | <td style="text-align: left;">66.667<br /> | ||
20°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">28/27<br /> | <td style="text-align: left;">28/27<br /> | ||
Line 209: | Line 248: | ||
</td> | </td> | ||
<td style="text-align: left;">100<br /> | <td style="text-align: left;">100<br /> | ||
30°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">256/243<br /> | <td style="text-align: left;">256/243<br /> | ||
Line 219: | Line 259: | ||
</td> | </td> | ||
<td style="text-align: left;">133.333<br /> | <td style="text-align: left;">133.333<br /> | ||
40°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">243/224<br /> | <td style="text-align: left;">243/224<br /> | ||
Line 229: | Line 270: | ||
</td> | </td> | ||
<td style="text-align: left;">166.667<br /> | <td style="text-align: left;">166.667<br /> | ||
50°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">54/49<br /> | <td style="text-align: left;">54/49<br /> | ||
Line 239: | Line 281: | ||
</td> | </td> | ||
<td style="text-align: left;">200<br /> | <td style="text-align: left;">200<br /> | ||
60°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">9/8<br /> | <td style="text-align: left;">9/8<br /> | ||
Line 249: | Line 292: | ||
</td> | </td> | ||
<td style="text-align: left;">233.333<br /> | <td style="text-align: left;">233.333<br /> | ||
70°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">8/7<br /> | <td style="text-align: left;">8/7<br /> | ||
Line 259: | Line 303: | ||
</td> | </td> | ||
<td style="text-align: left;">266.667<br /> | <td style="text-align: left;">266.667<br /> | ||
80°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">7/6<br /> | <td style="text-align: left;">7/6<br /> | ||
Line 269: | Line 314: | ||
</td> | </td> | ||
<td style="text-align: left;">300<br /> | <td style="text-align: left;">300<br /> | ||
90°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">32/37<br /> | <td style="text-align: left;">32/37<br /> | ||
Line 279: | Line 325: | ||
</td> | </td> | ||
<td style="text-align: left;">333.333<br /> | <td style="text-align: left;">333.333<br /> | ||
100°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">98/81<br /> | <td style="text-align: left;">98/81<br /> | ||
Line 289: | Line 336: | ||
</td> | </td> | ||
<td style="text-align: left;">366.667<br /> | <td style="text-align: left;">366.667<br /> | ||
110°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">243/196<br /> | <td style="text-align: left;">243/196<br /> | ||
Line 299: | Line 347: | ||
</td> | </td> | ||
<td style="text-align: left;">400<br /> | <td style="text-align: left;">400<br /> | ||
120°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">81/64<br /> | <td style="text-align: left;">81/64<br /> | ||
Line 309: | Line 358: | ||
</td> | </td> | ||
<td style="text-align: left;">433.333<br /> | <td style="text-align: left;">433.333<br /> | ||
130°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">9/7<br /> | <td style="text-align: left;">9/7<br /> | ||
Line 319: | Line 369: | ||
</td> | </td> | ||
<td style="text-align: left;">466.667<br /> | <td style="text-align: left;">466.667<br /> | ||
140°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">64/49 ~ 21/16<br /> | <td style="text-align: left;">64/49 ~ 21/16<br /> | ||
Line 329: | Line 380: | ||
</td> | </td> | ||
<td style="text-align: left;">500<br /> | <td style="text-align: left;">500<br /> | ||
150°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">4/3<br /> | <td style="text-align: left;">4/3<br /> | ||
Line 339: | Line 391: | ||
</td> | </td> | ||
<td style="text-align: left;">533.333<br /> | <td style="text-align: left;">533.333<br /> | ||
160°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">49/36<br /> | <td style="text-align: left;">49/36<br /> | ||
Line 349: | Line 402: | ||
</td> | </td> | ||
<td style="text-align: left;">566.667<br /> | <td style="text-align: left;">566.667<br /> | ||
170°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
Line 359: | Line 413: | ||
</td> | </td> | ||
<td style="text-align: left;">600<br /> | <td style="text-align: left;">600<br /> | ||
180°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
Line 369: | Line 424: | ||
</td> | </td> | ||
<td style="text-align: left;">633.333<br /> | <td style="text-align: left;">633.333<br /> | ||
190°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
Line 379: | Line 435: | ||
</td> | </td> | ||
<td style="text-align: left;">666.667<br /> | <td style="text-align: left;">666.667<br /> | ||
200°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">72/49<br /> | <td style="text-align: left;">72/49<br /> | ||
Line 389: | Line 446: | ||
</td> | </td> | ||
<td style="text-align: left;">700<br /> | <td style="text-align: left;">700<br /> | ||
210°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">3/2<br /> | <td style="text-align: left;">3/2<br /> | ||
Line 399: | Line 457: | ||
</td> | </td> | ||
<td style="text-align: left;">733.333<br /> | <td style="text-align: left;">733.333<br /> | ||
220°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">49/32 ~ 32/21<br /> | <td style="text-align: left;">49/32 ~ 32/21<br /> | ||
Line 409: | Line 468: | ||
</td> | </td> | ||
<td style="text-align: left;">766.667<br /> | <td style="text-align: left;">766.667<br /> | ||
230°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">14/9<br /> | <td style="text-align: left;">14/9<br /> | ||
Line 419: | Line 479: | ||
</td> | </td> | ||
<td style="text-align: left;">800<br /> | <td style="text-align: left;">800<br /> | ||
240°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">128/81<br /> | <td style="text-align: left;">128/81<br /> | ||
Line 429: | Line 490: | ||
</td> | </td> | ||
<td style="text-align: left;">833.333<br /> | <td style="text-align: left;">833.333<br /> | ||
250°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">392/243<br /> | <td style="text-align: left;">392/243<br /> | ||
Line 439: | Line 501: | ||
</td> | </td> | ||
<td style="text-align: left;">866.667<br /> | <td style="text-align: left;">866.667<br /> | ||
260°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">81/49<br /> | <td style="text-align: left;">81/49<br /> | ||
Line 449: | Line 512: | ||
</td> | </td> | ||
<td style="text-align: left;">900<br /> | <td style="text-align: left;">900<br /> | ||
270°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">27/16<br /> | <td style="text-align: left;">27/16<br /> | ||
Line 459: | Line 523: | ||
</td> | </td> | ||
<td style="text-align: left;">933.333<br /> | <td style="text-align: left;">933.333<br /> | ||
280°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">12/7<br /> | <td style="text-align: left;">12/7<br /> | ||
Line 469: | Line 534: | ||
</td> | </td> | ||
<td style="text-align: left;">966.667<br /> | <td style="text-align: left;">966.667<br /> | ||
290°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">7/4<br /> | <td style="text-align: left;">7/4<br /> | ||
Line 479: | Line 545: | ||
</td> | </td> | ||
<td style="text-align: left;">1000<br /> | <td style="text-align: left;">1000<br /> | ||
300°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">16/9<br /> | <td style="text-align: left;">16/9<br /> | ||
Line 489: | Line 556: | ||
</td> | </td> | ||
<td style="text-align: left;">1033.333<br /> | <td style="text-align: left;">1033.333<br /> | ||
310°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">49/27<br /> | <td style="text-align: left;">49/27<br /> | ||
Line 499: | Line 567: | ||
</td> | </td> | ||
<td style="text-align: left;">1066.667<br /> | <td style="text-align: left;">1066.667<br /> | ||
320°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">448/243<br /> | <td style="text-align: left;">448/243<br /> | ||
Line 509: | Line 578: | ||
</td> | </td> | ||
<td style="text-align: left;">1100<br /> | <td style="text-align: left;">1100<br /> | ||
330°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">243/128<br /> | <td style="text-align: left;">243/128<br /> | ||
Line 519: | Line 589: | ||
</td> | </td> | ||
<td style="text-align: left;">1133.333<br /> | <td style="text-align: left;">1133.333<br /> | ||
340°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">27/14<br /> | <td style="text-align: left;">27/14<br /> | ||
Line 529: | Line 600: | ||
</td> | </td> | ||
<td style="text-align: left;">1166.667<br /> | <td style="text-align: left;">1166.667<br /> | ||
350°<br /> | |||
</td> | </td> | ||
<td style="text-align: left;">63/32 ~ 96/49<br /> | <td style="text-align: left;">63/32 ~ 96/49<br /> |