23edo: Difference between revisions
Wikispaces>igliashon **Imported revision 242753327 - Original comment: ** |
Wikispaces>igliashon **Imported revision 242821659 - 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:igliashon|igliashon]] and made on <tt>2011-07-25 | : This revision was by author [[User:igliashon|igliashon]] and made on <tt>2011-07-25 21:10:59 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>242821659</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 16: | Line 16: | ||
=<span style="font-size: 1.4em;">Intervals</span>= | =<span style="font-size: 1.4em;">Intervals</span>= | ||
|| <span style="color: #660000;">[[Degree]]</span> || [[Cent]]s value || Approximate | || <span style="color: #660000;">[[Degree]]</span> || [[Cent]]s value ||= Approximate | ||
Ratios* || | Ratios* || | ||
|| 0 || 0 || 1/1 || | || 0 || 0 ||= 1/1 || | ||
|| 1 || 52.1739 || 33/32, 34/33 || | || 1 || 52.1739 ||= 33/32, 34/33 || | ||
|| 2 || 104.3478 || 17/16, 15/16, 18/17 || | || 2 || 104.3478 ||= 17/16, 15/16, 18/17 || | ||
|| 3 || 156.5217 || 11/10, 12/11 || | || 3 || 156.5217 ||= 11/10, 12/11 || | ||
|| 4 || 208.6957 || 9/8 || | || 4 || 208.6957 ||= 9/8 || | ||
|| 5 || 260.8696 || 7/6, 15/13 || | || 5 || 260.8696 ||= 7/6, 15/13 || | ||
|| 6 || 313.0435 || 6/5 || | || 6 || 313.0435 ||= 6/5 || | ||
|| 7 || 365.2174 || 21/17, 26/21 || | || 7 || 365.2174 ||= 21/17, 26/21 || | ||
|| 8 || 417.3913 || 14/11, 33/26 || | || 8 || 417.3913 ||= 14/11, 33/26 || | ||
|| 9 || 469.5652 || 21/16, 17/13 || | || 9 || 469.5652 ||= 21/16, 17/13 || | ||
|| 10 || 521.7391 || 65/48, 256/189 || | || 10 || 521.7391 ||= 65/48, 256/189 || | ||
|| 11 || 573.913 || 7/5 || | || 11 || 573.913 ||= 7/5 || | ||
|| 12 || 626.087 || 10/7 || | || 12 || 626.087 ||= 10/7 || | ||
|| 13 || 678.2609 || 96/65, 189/128 || | || 13 || 678.2609 ||= 96/65, 189/128 || | ||
|| 14 || 730.4348 || 32/21, 26/17 || | || 14 || 730.4348 ||= 32/21, 26/17 || | ||
|| 15 || 782.6087 || 11/7, 52/33 || | || 15 || 782.6087 ||= 11/7, 52/33 || | ||
|| 16 || 834.7826 || 13/8, 21/13 || | || 16 || 834.7826 ||= 13/8, 21/13 || | ||
|| 17 || 886.9565 || 5/3 || | || 17 || 886.9565 ||= 5/3 || | ||
|| 18 || 939.1304 || 12/7, 26/15 || | || 18 || 939.1304 ||= 12/7, 26/15 || | ||
|| 19 || 991.3043 || 16/9 || | || 19 || 991.3043 ||= 16/9 || | ||
|| 20 || 1043.4783 || 11/6, 20/11 || | || 20 || 1043.4783 ||= 11/6, 20/11 || | ||
|| 21 || 1095.6522 || 15/8, 17/9, 32/17 || | || 21 || 1095.6522 ||= 15/8, 17/9, 32/17 || | ||
|| 22 || 1147.8261 || 33/17, 64/33 || | || 22 || 1147.8261 ||= 33/17, 64/33 || | ||
|| 23 || 1200 || 2/1 || | || 23 || 1200 ||= 2/1 || | ||
*based on treating 23-EDO as a 2.9.15.21.33.13.17 subgroup temperament; other approaches are possible. | *based on treating 23-EDO as a 2.9.15.21.33.13.17 subgroup temperament; other approaches are possible. | ||
Line 192: | Line 192: | ||
<td><a class="wiki_link" href="/Cent">Cent</a>s value<br /> | <td><a class="wiki_link" href="/Cent">Cent</a>s value<br /> | ||
</td> | </td> | ||
<td>Approximate<br /> | <td style="text-align: center;">Approximate<br /> | ||
Ratios*<br /> | Ratios*<br /> | ||
</td> | </td> | ||
Line 201: | Line 201: | ||
<td>0<br /> | <td>0<br /> | ||
</td> | </td> | ||
<td>1/1<br /> | <td style="text-align: center;">1/1<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 209: | Line 209: | ||
<td>52.1739<br /> | <td>52.1739<br /> | ||
</td> | </td> | ||
<td>33/32, 34/33<br /> | <td style="text-align: center;">33/32, 34/33<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 217: | Line 217: | ||
<td>104.3478<br /> | <td>104.3478<br /> | ||
</td> | </td> | ||
<td>17/16, 15/16, 18/17<br /> | <td style="text-align: center;">17/16, 15/16, 18/17<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 225: | Line 225: | ||
<td>156.5217<br /> | <td>156.5217<br /> | ||
</td> | </td> | ||
<td>11/10, 12/11<br /> | <td style="text-align: center;">11/10, 12/11<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 233: | Line 233: | ||
<td>208.6957<br /> | <td>208.6957<br /> | ||
</td> | </td> | ||
<td>9/8<br /> | <td style="text-align: center;">9/8<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 241: | Line 241: | ||
<td>260.8696<br /> | <td>260.8696<br /> | ||
</td> | </td> | ||
<td>7/6, 15/13<br /> | <td style="text-align: center;">7/6, 15/13<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 249: | Line 249: | ||
<td>313.0435<br /> | <td>313.0435<br /> | ||
</td> | </td> | ||
<td>6/5<br /> | <td style="text-align: center;">6/5<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 257: | Line 257: | ||
<td>365.2174<br /> | <td>365.2174<br /> | ||
</td> | </td> | ||
<td>21/17, 26/21<br /> | <td style="text-align: center;">21/17, 26/21<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 265: | Line 265: | ||
<td>417.3913<br /> | <td>417.3913<br /> | ||
</td> | </td> | ||
<td>14/11, 33/26<br /> | <td style="text-align: center;">14/11, 33/26<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 273: | Line 273: | ||
<td>469.5652<br /> | <td>469.5652<br /> | ||
</td> | </td> | ||
<td>21/16, 17/13<br /> | <td style="text-align: center;">21/16, 17/13<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 281: | Line 281: | ||
<td>521.7391<br /> | <td>521.7391<br /> | ||
</td> | </td> | ||
<td>65/48, 256/189<br /> | <td style="text-align: center;">65/48, 256/189<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 289: | Line 289: | ||
<td>573.913<br /> | <td>573.913<br /> | ||
</td> | </td> | ||
<td>7/5<br /> | <td style="text-align: center;">7/5<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 297: | Line 297: | ||
<td>626.087<br /> | <td>626.087<br /> | ||
</td> | </td> | ||
<td>10/7<br /> | <td style="text-align: center;">10/7<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 305: | Line 305: | ||
<td>678.2609<br /> | <td>678.2609<br /> | ||
</td> | </td> | ||
<td>96/65, 189/128<br /> | <td style="text-align: center;">96/65, 189/128<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 313: | Line 313: | ||
<td>730.4348<br /> | <td>730.4348<br /> | ||
</td> | </td> | ||
<td>32/21, 26/17<br /> | <td style="text-align: center;">32/21, 26/17<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 321: | Line 321: | ||
<td>782.6087<br /> | <td>782.6087<br /> | ||
</td> | </td> | ||
<td>11/7, 52/33<br /> | <td style="text-align: center;">11/7, 52/33<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 329: | Line 329: | ||
<td>834.7826<br /> | <td>834.7826<br /> | ||
</td> | </td> | ||
<td>13/8, 21/13<br /> | <td style="text-align: center;">13/8, 21/13<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 337: | Line 337: | ||
<td>886.9565<br /> | <td>886.9565<br /> | ||
</td> | </td> | ||
<td>5/3<br /> | <td style="text-align: center;">5/3<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 345: | Line 345: | ||
<td>939.1304<br /> | <td>939.1304<br /> | ||
</td> | </td> | ||
<td>12/7, 26/15<br /> | <td style="text-align: center;">12/7, 26/15<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 353: | Line 353: | ||
<td>991.3043<br /> | <td>991.3043<br /> | ||
</td> | </td> | ||
<td>16/9<br /> | <td style="text-align: center;">16/9<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 361: | Line 361: | ||
<td>1043.4783<br /> | <td>1043.4783<br /> | ||
</td> | </td> | ||
<td>11/6, 20/11<br /> | <td style="text-align: center;">11/6, 20/11<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 369: | Line 369: | ||
<td>1095.6522<br /> | <td>1095.6522<br /> | ||
</td> | </td> | ||
<td>15/8, 17/9, 32/17<br /> | <td style="text-align: center;">15/8, 17/9, 32/17<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 377: | Line 377: | ||
<td>1147.8261<br /> | <td>1147.8261<br /> | ||
</td> | </td> | ||
<td>33/17, 64/33<br /> | <td style="text-align: center;">33/17, 64/33<br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
Line 385: | Line 385: | ||
<td>1200<br /> | <td>1200<br /> | ||
</td> | </td> | ||
<td>2/1<br /> | <td style="text-align: center;">2/1<br /> | ||
</td> | </td> | ||
</tr> | </tr> |