5L 2s: Difference between revisions
Wikispaces>JosephRuhf **Imported revision 528376176 - Original comment: ** |
Wikispaces>JosephRuhf **Imported revision 540554650 - 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> | : This revision was by author [[User:JosephRuhf|JosephRuhf]] and made on <tt>2015-02-11 00:32:27 UTC</tt>.<br> | ||
: The original revision id was <tt> | : The original revision id was <tt>540554650</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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If we carry this freshman-summing out a little further, new, larger [[edo]]s pop up in our continuum. | If we carry this freshman-summing out a little further, new, larger [[edo]]s pop up in our continuum. | ||
||||||||||||~ generator | ||||||||||||~ generator ||~ ||~ in cents ||~ tetrachord ||~ ||~ ||~ ||~ ||~ comments || | ||
||< 3\7 ||||< ||< ||< ||= | ||< 3\7 ||||< ||< ||< ||= || ||= 514.286 ||= 1 1 1 || 239.2945 || 274.991 || 307.521 || 378.193 ||= || | ||
|| 59\138 || | || 59\138 |||| || || || || ||= 513.0435 ||= 20 20 19 || 238.673 || 274.370 || 308.142 || 378.8145 || || | ||
|| 56\131 || | || 56\131 |||| || || || || ||= 512.977 ||= 19 19 18 || 238.640 || 274.337 || 308.175 || 378.848 || || | ||
|| 53\124 || | || 53\124 |||| || || || || ||= 512.903 ||= 18 18 17 || 238.603 || 274.300 || 308.212 || 378.885 || || | ||
|| 50\117 |||| ||< ||< | || 50\117 |||| ||< ||< || || ||= 512.8205 ||= 17 17 16 || 238.562 || 274.259 || 308.2535 || 378.926 || || | ||
||< 47\110 |||| ||< ||< | ||< 47\110 |||| ||< ||< || || ||= 512.727 ||= 16 16 15 || 238.515 || 274.212 || 308.300 || 378.973 || || | ||
||< 44\103 ||||< ||< ||< || || || | ||< 44\103 ||||< ||< ||< || || ||= 512.621 ||= 15 15 14 || 238.462 || 274.159 || 308.353 || 379.0255 || || | ||
||< 41\96 ||||< ||< ||< | ||< 41\96 ||||< ||< ||< || || ||= 512.500 ||= 14 14 13 || 238.402 || 274.098 || 308.414 || 379.086 || || | ||
||< 38\89 ||||< ||< ||< | ||< 38\89 ||||< ||< ||< || || ||= 512.360 ||= 13 13 12 || 238.331 || 274.028 || 308.484 || 379.156 || || | ||
||< 35\82 ||||< ||< ||< || || || | ||< 35\82 ||||< ||< ||< || || ||= 512.195 ||= 12 12 11 || 238.249 || 273.946 || 308.566 || 379.239 || || | ||
||< 32\75 ||||< ||< ||< | ||< 32\75 ||||< ||< ||< || || ||= 512.000 ||= 11 11 10 || 238.152 || 273.848 || 308.664 || 379.336 || || | ||
||< 29\68 ||||< ||< ||< | ||< 29\68 ||||< ||< ||< || || ||= 511.765 ||= 10 10 9 || 238.034 || 273.731 || 308.781 || 379.454 || || | ||
||< 26\61 ||||< ||< ||< || || || | ||< 26\61 ||||< ||< ||< || || ||= 511.475 ||= 9 9 8 || 237.889 || 273.586 || 308.926 || 379.5985 || || | ||
||< 23\54 ||||< ||< ||< | ||< 23\54 ||||< ||< ||< || || ||= 511.111 ||= 8 8 7 || 237.707 || 273.404 || 309.108 || 379.781 || || | ||
||< 20\47 ||||< ||< ||< | ||< 20\47 ||||< ||< ||< || || ||= 510.638 ||= 7 7 6 || 237.471 || 273.168 || 309.345 || 380.017 || || | ||
||< 17\40 ||||< ||< ||< ||= || || | ||< 17\40 ||||< ||< ||< ||= || ||= 510.000 ||= 6 6 5 || 237.152 || 272.848 || 309.664 || 380.336 ||= || | ||
||< 14\33 ||||< ||< ||< ||= | ||< 14\33 ||||< ||< ||< ||= || ||= 509.091 ||= 5 5 4 || 236.697 || 272.394 || 310.118 || 380.791 ||= || | ||
||< 25\59 ||||< ||< ||< ||= | ||< 25\59 ||||< ||< ||< ||= || ||= 508.475 ||= 9 9 7 || 236.389 || 272.086 || 310.4265 || 381.0985 ||= || | ||
||< 11\26 ||||< ||< ||< ||= || || | ||< 11\26 ||||< ||< ||< ||= || ||= 507.692 ||= 4 4 3 || 235.998 || 271.695 || 310.817 || 381.491 ||= || | ||
||< ||||< | ||< ||||< 30\71 ||< ||< ||= || ||= 507.042 ||= 11 11 8 || 235.672 || 271.3695 || 311.142 || 381.846 ||= || | ||
||< ||||< 19\45 ||< ||< ||= || || | ||< ||||< 19\45 ||< ||< ||= || ||= 506.667 ||= 7 7 5 || 235.485 || 271.182 || 311.33 || 382.003 ||= || | ||
||< ||||< | ||< ||||< 27\64 ||< ||< ||= || ||= 506.250 ||= 10 10 7 || 235.277 || 270.973 || 311.539 || 382.211 ||= || | ||
||< 8\19 ||||< ||< ||< ||= | ||< 8\19 ||||< ||< ||< ||= || ||= 505.263 ||= 3 3 2 || 234.783 || 270.480 || 312.032 || 382.705 ||= Optimum rank range (L/s=3/2) diatonic || | ||
|| |||| | || |||| 37\88 || || || || ||= 504.5455 ||= 14 14 9 || 234.424 || 270.121 || 312.391 || 383.0635 ||= LucyTuning || | ||
||< ||||< | ||< ||||< 29\69 ||< ||< ||= || ||= 504.348 ||= 11 11 7 || 234.3255 || 270.022 || 312.490 || 383.172 ||= || | ||
||< ||||< | ||< ||||< 21\50 ||< ||< ||= || ||= 504.000 ||= 8 8 5 || 234.152 || 269.848 || 312.664 || 383.336 ||= || | ||
|| || | || |||| || 55\131 || || || ||= 503.817 ||= 21 21 13 || 234.060 || 269.757 || 312.755 || 383.428 || || | ||
|| || | || |||| || || || 144\343 || ||= 503.790 ||= 55 55 34 || 234.047 || 269.743 || 312.769 || 383.441 || || | ||
|| || | || |||| || || || || 233\555 ||= 503.784 ||= 89 89 55 || 234.0435 || 269.740 || 312.772 || 383.444 ||= Golden meantone || | ||
|| || | || |||| || || 89\212 || || ||= 503.774 ||= 34 34 21 || 234.038 || 269.735 || 312.777 || 383.449 ||= || | ||
||< ||||< ||< | ||< ||||< ||< 34\81 ||< ||= || ||= 503.704 ||= 13 13 8 || 234.003 || 269.700 || 312.811 || 383.485 ||= || | ||
||< ||||< 13\31 ||< ||< ||= | ||< ||||< 13\31 ||< ||< ||= || ||= 503.226 ||= 5 5 3 || 233.7645 || 269.461 || 313.051 || 383.723 ||= Meantone is in this region || | ||
||< ||||< ||< | ||< ||||< ||< 31\74 ||< ||= || ||= 502.703 ||= 12 12 7 || 233.503 || 269.200 || 313.312 || 383.985 ||= || | ||
||< ||||< | ||< ||||< 18\43 ||< ||< ||= || ||= 502.326 ||= 7 7 4 || 233.314 || 269.011 || 313.501 || 384.183 ||= || | ||
||< ||||< | ||< ||||< 23\55 ||< ||< ||= || ||= 501.818 ||= 9 9 5 || 233.061 || 268.7575 || 313.754 || 384.428 ||= || | ||
||< 5\12 ||||< ||< ||< ||= | ||< 5\12 ||||< ||< ||< ||= || ||= 500.000 ||= 2 2 1 || 232.152 || 267.848 || 314.664 || 385.336 ||= Boundary of propriety | ||
(generators larger than this are proper) || | (generators larger than this are proper) || | ||
||< ||||< | ||< ||||< 42\101 ||< ||< || || ||= 499.010 ||= 17 17 8 || 231.6565 || 267.353 || 315.159 || 385.831 || || | ||
||< ||||< | ||< ||||< <span style="display: block; text-align: center;">37\89</span> ||< ||< ||= ||= ||= 498.876 ||= 15 15 7 ||< 231.590 ||< 267.287 ||< 315,226 ||< 385.898 ||= || | ||
||< ||||< | ||< ||||< <span style="display: block; text-align: center;">32\77</span> ||< ||< ||= ||= ||= 498.701 ||= 13 13 6 ||< 231.502 ||< 267.199 ||< 315.313 ||< 385.986 ||= || | ||
||< ||||< | ||< ||||< 27\65 ||< ||< || || ||= 498.4615 ||= 11 11 5 || 231.382 || 267.079 || 315.433 || 386.105 || || | ||
||< |||| | ||< |||| 22\53 ||< ||< ||= || ||= 498.113 ||= 9 9 4 || 231.208 || 266.905 || 315.609 || 386.278 ||= Pythagorean is around here || | ||
||< |||| | ||< |||| 17\41 ||< ||< ||= || ||= 497.591 ||= 7 7 3 || 230.932 || 266.629 || 315.883 || 386.556 ||= || | ||
||< |||| | ||< |||| 29\70 ||< ||< ||= || ||= 497.143 ||= 12 12 5 || 230.723 || 266.420 || 316.092 || 386.765 ||= || | ||
||< |||| 12\29 ||< ||< ||= | ||< |||| 12\29 ||< ||< ||= || ||= 496.552 ||= 5 5 2 || 230.4275 || 266.124 || 316.388 || 387.061 ||= || | ||
||< |||| ||< | ||< |||| ||< 31\75 ||< ||= || ||= 496.000 ||= 13 13 5 || 230.152 || 265.848 || 316.664 || 387.336 ||= || | ||
||< |||| | ||< |||| 19\46 ||< ||< ||= || ||= 495.652 ||= 8 8 3 || 229.978 || 265.6745 || 316.837 || 387.511 ||= || | ||
||< |||| | ||< |||| 26\63 ||< ||< ||= || ||= 495.238 ||= 11 11 4 || 229.771 || 265.4675 || 317.045 || 387.717 ||= || | ||
||< 7\17 |||| ||< ||< ||= | || || || || || || || ||= 494.233 ||= 2.97 2.97 1 || 229.268 || 264.965 || 317.547 || 388.220 ||= <span style="display: block; text-align: center;">L/s = 3/2^(1/75)</span> || | ||
|| | ||< 7\17 |||| ||< ||< ||= || ||= 494.118 ||= 3 3 1 || 229.210 || 264.907 || 317.596 || 388.286 ||= L/s = 3 || | ||
||< |||| 16\39 ||< ||< ||= | || || || || || || || ||= 494.003 ||= 3.03 3.03 1 || 229.153 || 264.850 || 317.662 || 388.335 ||= <span style="display: block; text-align: center;">L/s = 3*2^(1/75)</span> || | ||
||< |||| | ||< |||| 23\56 ||< ||< ||= || ||= 492.857 ||= 10 10 3 || 228.580 || 264.277 || 318.235 || 388.908 ||= || | ||
||< 9\22 |||| ||< ||< ||= | ||< |||| 16\39 ||< ||< ||= || ||= 492.308 ||= 7 7 2 || 228.305 || 264.002 || 318.51 || 389.182 ||= || | ||
||< |||| 25\61 ||< ||< ||= || ||= 491.803 ||= 11 11 3 || 228.053 || 263.750 || 318.761 || 389.436 ||= || | |||
||< 9\22 |||| ||< ||< ||= || ||= 490.909 ||= 4 4 1 || 227.606 || 263.303 || 319.209 || 389.882 ||= (No-5's) superpyth is in this region | |||
L/s = 4 || | L/s = 4 || | ||
||< |||| 20\49 ||< ||< ||= | ||< |||| 20\49 ||< ||< ||= || ||= 489.796 ||= 9 9 2 || 227.050 || 262.746 || 319.766 || 390.438 ||= || | ||
||< 11\27 |||| ||< ||< ||= | ||< 11\27 |||| ||< ||< ||= || ||= 488.889 ||= 5 5 1 || 226.596 || 262.293 || 320.219 || 390.892 ||= || | ||
||< 13\32 |||| ||< ||< ||= | ||< 13\32 |||| ||< ||< ||= || ||= 487.500 ||= 6 6 1 || 225.9015 || 261.598 || 320.914 || 391.596 ||= || | ||
||< 15\37 |||| ||< ||< | ||< 15\37 |||| ||< ||< || || ||= 486.4865 ||= 7 7 1 || 225.395 || 261.092 || 321.4205 || 392.093 || || | ||
||< 17\42 |||| ||< ||< ||= ||= | ||< 17\42 |||| ||< ||< ||= ||= ||= 485.714 ||= 8 8 1 ||< 225.009 ||< 260.7055 ||< 321.807 ||< 392.479 ||= || | ||
||< 19\47 |||| ||< ||< || || || | ||< 19\47 |||| ||< ||< || || ||= 485.106 ||= 9 9 1 || 224.705 || 260.402 || 322.111 || 392.783 || || | ||
||< 21\52 |||| ||< ||< | ||< 21\52 |||| ||< ||< || || ||= 484.615 ||= 10 10 1 || 224.459 || 260.156 || 322.356 || 393.0285 || || | ||
||< 23\57 |||| ||< ||< | ||< 23\57 |||| ||< ||< || || ||= 484.2105 ||= 11 11 1 || 224.257 || 259.954 || 322.5585 || 393.231 || || | ||
||< 25\62 |||| ||< ||< | ||< 25\62 |||| ||< ||< || || ||= 483.871 ||= 12 12 1 || 224.087 || 259.784 || 322.728 || 393.401 || || | ||
||< 27\67 |||| ||< ||< | ||< 27\67 |||| ||< ||< || || ||= 483.582 ||= 13 13 1 || 223.943 || 259.6395 || 322.873 || 393.545 || || | ||
||< 29\72 |||| ||< ||< | ||< 29\72 |||| ||< ||< || || ||= 483.333 ||= 14 14 1 || 223.818 || 259.515 || 322.997 || 393.6695 || || | ||
||< 31\77 |||| ||< ||< | ||< 31\77 |||| ||< ||< || || ||= 483.117 ||= 15 15 1 || 223.710 || 259.407 || 323.105 || 393.778 || || | ||
||< 33\82 |||| ||< ||< | ||< 33\82 |||| ||< ||< || || ||= 482.927 ||= 16 16 1 || 223.615 || 259.312 || 323.200 || 393.873 || || | ||
|| 35\87 |||| ||< ||< | || 35\87 |||| ||< ||< || || ||= 482.759 ||= 17 17 1 || 223.531 || 259.228 || 323.2845 || 393.957 || || | ||
|| 37\92 |||| ||< ||< | || 37\92 |||| ||< ||< || || ||= 482.609 ||= 18 18 1 || 223.456 || 259.153 || 323.539 || 394.032 || || | ||
|| 39\97 || | || 39\97 |||| || || || || ||= 482.474 ||= 19 19 1 || 223.389 || 259.0855 || 323.427 || 394.099 || || | ||
|| 41\102 || | || 41\102 |||| || || || || ||= 482.353 ||= 20 20 1 || 223.328 || 259.025 || 323.487 || 394.160 || || | ||
|| 43\107 || | || 43\107 |||| || || || || ||= 482.243 ||= 21 21 1 || 223.273 || 258.970 || 323.542 || 394.215 || || | ||
|| 45\112 || | || 45\112 |||| || || || || ||= 482.143 ||= 22 22 1 || 223.223 || 258.920 || 323.592 || 394.265 || || | ||
|| 47\117 || | || 47\117 |||| || || || || ||= 482.051 ||= 23 23 1 || 223.177 || 258.874 || 323.638 || 394.311 || || | ||
|| 49\122 || | || 49\122 |||| || || || || ||= 481.967 ||= 24 24 1 || 223.135 || 258.832 || 322.680 || 394.353 || || | ||
||< 2\5 |||| ||< ||< ||= | ||< 2\5 |||| ||< ||< ||= || ||= 480.000 ||= 1 1 0 || 222.152 || 257.848 || 324.664 || 395.336 ||= || | ||
Temperaments above 5\12 on this chart are called "negative temperaments" (as they lessen the size of the fifth) and include meantone systems such as 1/3-comma (close to 8\19) and 1/4-comma (close to 13\31). As these tunings approach 3\7, the majors become flatter and the minors become sharper. | Temperaments above 5\12 on this chart are called "negative temperaments" (as they lessen the size of the fifth) and include meantone systems such as 1/3-comma (close to 8\19) and 1/4-comma (close to 13\31). As these tunings approach 3\7, the majors become flatter and the minors become sharper. | ||
| Line 223: | Line 225: | ||
<tr> | <tr> | ||
<th colspan="6">generator<br /> | <th colspan="6">generator<br /> | ||
</th> | </th> | ||
<th><br /> | <th><br /> | ||
| Line 232: | Line 230: | ||
<th>in cents<br /> | <th>in cents<br /> | ||
</th> | </th> | ||
<th> | <th>tetrachord<br /> | ||
</th> | </th> | ||
<th><br /> | <th><br /> | ||
| Line 255: | Line 253: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 264: | Line 258: | ||
<td style="text-align: center;">514.286<br /> | <td style="text-align: center;">514.286<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">1 1 1<br /> | ||
</td> | </td> | ||
<td>239.2945<br /> | <td>239.2945<br /> | ||
| Line 281: | Line 275: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 296: | Line 286: | ||
<td style="text-align: center;">513.0435<br /> | <td style="text-align: center;">513.0435<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">20 20 19<br /> | ||
</td> | </td> | ||
<td>238.673<br /> | <td>238.673<br /> | ||
| Line 313: | Line 303: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 328: | Line 314: | ||
<td style="text-align: center;">512.977<br /> | <td style="text-align: center;">512.977<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">19 19 18<br /> | ||
</td> | </td> | ||
<td>238.640<br /> | <td>238.640<br /> | ||
| Line 345: | Line 331: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 360: | Line 342: | ||
<td style="text-align: center;">512.903<br /> | <td style="text-align: center;">512.903<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">18 18 17<br /> | ||
</td> | </td> | ||
<td>238.603<br /> | <td>238.603<br /> | ||
| Line 381: | Line 363: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 392: | Line 370: | ||
<td style="text-align: center;">512.8205<br /> | <td style="text-align: center;">512.8205<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">17 17 16<br /> | ||
</td> | </td> | ||
<td>238.562<br /> | <td>238.562<br /> | ||
| Line 413: | Line 391: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 424: | Line 398: | ||
<td style="text-align: center;">512.727<br /> | <td style="text-align: center;">512.727<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">16 16 15<br /> | ||
</td> | </td> | ||
<td>238.515<br /> | <td>238.515<br /> | ||
| Line 445: | Line 419: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 456: | Line 426: | ||
<td style="text-align: center;">512.621<br /> | <td style="text-align: center;">512.621<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">15 15 14<br /> | ||
</td> | </td> | ||
<td>238.462<br /> | <td>238.462<br /> | ||
| Line 477: | Line 447: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 488: | Line 454: | ||
<td style="text-align: center;">512.500<br /> | <td style="text-align: center;">512.500<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">14 14 13<br /> | ||
</td> | </td> | ||
<td>238.402<br /> | <td>238.402<br /> | ||
| Line 509: | Line 475: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 520: | Line 482: | ||
<td style="text-align: center;">512.360<br /> | <td style="text-align: center;">512.360<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">13 13 12<br /> | ||
</td> | </td> | ||
<td>238.331<br /> | <td>238.331<br /> | ||
| Line 541: | Line 503: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 552: | Line 510: | ||
<td style="text-align: center;">512.195<br /> | <td style="text-align: center;">512.195<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">12 12 11<br /> | ||
</td> | </td> | ||
<td>238.249<br /> | <td>238.249<br /> | ||
| Line 573: | Line 531: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 584: | Line 538: | ||
<td style="text-align: center;">512.000<br /> | <td style="text-align: center;">512.000<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">11 11 10<br /> | ||
</td> | </td> | ||
<td>238.152<br /> | <td>238.152<br /> | ||
| Line 605: | Line 559: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 616: | Line 566: | ||
<td style="text-align: center;">511.765<br /> | <td style="text-align: center;">511.765<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">10 10 9<br /> | ||
</td> | </td> | ||
<td>238.034<br /> | <td>238.034<br /> | ||
| Line 637: | Line 587: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 648: | Line 594: | ||
<td style="text-align: center;">511.475<br /> | <td style="text-align: center;">511.475<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">9 9 8<br /> | ||
</td> | </td> | ||
<td>237.889<br /> | <td>237.889<br /> | ||
| Line 669: | Line 615: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 680: | Line 622: | ||
<td style="text-align: center;">511.111<br /> | <td style="text-align: center;">511.111<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">8 8 7<br /> | ||
</td> | </td> | ||
<td>237.707<br /> | <td>237.707<br /> | ||
| Line 701: | Line 643: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 712: | Line 650: | ||
<td style="text-align: center;">510.638<br /> | <td style="text-align: center;">510.638<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">7 7 6<br /> | ||
</td> | </td> | ||
<td>237.471<br /> | <td>237.471<br /> | ||
| Line 735: | Line 673: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 744: | Line 678: | ||
<td style="text-align: center;">510.000<br /> | <td style="text-align: center;">510.000<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">6 6 5<br /> | ||
</td> | </td> | ||
<td>237.152<br /> | <td>237.152<br /> | ||
| Line 767: | Line 701: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 776: | Line 706: | ||
<td style="text-align: center;">509.091<br /> | <td style="text-align: center;">509.091<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">5 5 4<br /> | ||
</td> | </td> | ||
<td>236.697<br /> | <td>236.697<br /> | ||
| Line 799: | Line 729: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 808: | Line 734: | ||
<td style="text-align: center;">508.475<br /> | <td style="text-align: center;">508.475<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">9 9 7<br /> | ||
</td> | </td> | ||
<td>236.389<br /> | <td>236.389<br /> | ||
| Line 831: | Line 757: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 840: | Line 762: | ||
<td style="text-align: center;">507.692<br /> | <td style="text-align: center;">507.692<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">4 4 3<br /> | ||
</td> | </td> | ||
<td>235.998<br /> | <td>235.998<br /> | ||
| Line 856: | Line 778: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;">30\71<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 872: | Line 790: | ||
<td style="text-align: center;">507.042<br /> | <td style="text-align: center;">507.042<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">11 11 8<br /> | ||
</td> | </td> | ||
<td>235.672<br /> | <td>235.672<br /> | ||
| Line 895: | Line 813: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 904: | Line 818: | ||
<td style="text-align: center;">506.667<br /> | <td style="text-align: center;">506.667<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">7 7 5<br /> | ||
</td> | </td> | ||
<td>235.485<br /> | <td>235.485<br /> | ||
| Line 920: | Line 834: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;">27\64<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 936: | Line 846: | ||
<td style="text-align: center;">506.250<br /> | <td style="text-align: center;">506.250<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">10 10 7<br /> | ||
</td> | </td> | ||
<td>235.277<br /> | <td>235.277<br /> | ||
| Line 959: | Line 869: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 968: | Line 874: | ||
<td style="text-align: center;">505.263<br /> | <td style="text-align: center;">505.263<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">3 3 2<br /> | ||
</td> | </td> | ||
<td>234.783<br /> | <td>234.783<br /> | ||
| Line 984: | Line 890: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td colspan="2"> | <td colspan="2">37\88<br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,000: | Line 902: | ||
<td style="text-align: center;">504.5455<br /> | <td style="text-align: center;">504.5455<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">14 14 9<br /> | ||
</td> | </td> | ||
<td>234.424<br /> | <td>234.424<br /> | ||
| Line 1,016: | Line 918: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;">29\69<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,032: | Line 930: | ||
<td style="text-align: center;">504.348<br /> | <td style="text-align: center;">504.348<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">11 11 7<br /> | ||
</td> | </td> | ||
<td>234.3255<br /> | <td>234.3255<br /> | ||
| Line 1,048: | Line 946: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;">21\50<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,064: | Line 958: | ||
<td style="text-align: center;">504.000<br /> | <td style="text-align: center;">504.000<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">8 8 5<br /> | ||
</td> | </td> | ||
<td>234.152<br /> | <td>234.152<br /> | ||
| Line 1,081: | Line 975: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td>55\131<br /> | <td>55\131<br /> | ||
| Line 1,096: | Line 986: | ||
<td style="text-align: center;">503.817<br /> | <td style="text-align: center;">503.817<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">21 21 13<br /> | ||
</td> | </td> | ||
<td>234.060<br /> | <td>234.060<br /> | ||
| Line 1,112: | Line 1,002: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,130: | Line 1,014: | ||
<td style="text-align: center;">503.790<br /> | <td style="text-align: center;">503.790<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">55 55 34<br /> | ||
</td> | </td> | ||
<td>234.047<br /> | <td>234.047<br /> | ||
| Line 1,146: | Line 1,030: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,164: | Line 1,042: | ||
<td style="text-align: center;">503.784<br /> | <td style="text-align: center;">503.784<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">89 89 55<br /> | ||
</td> | </td> | ||
<td>234.0435<br /> | <td>234.0435<br /> | ||
| Line 1,181: | Line 1,059: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,196: | Line 1,070: | ||
<td style="text-align: center;">503.774<br /> | <td style="text-align: center;">503.774<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">34 34 21<br /> | ||
</td> | </td> | ||
<td>234.038<br /> | <td>234.038<br /> | ||
| Line 1,213: | Line 1,087: | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;"><br /> | ||
</td> | |||
<td style="text-align: left;">34\81<br /> | |||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,228: | Line 1,098: | ||
<td style="text-align: center;">503.704<br /> | <td style="text-align: center;">503.704<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">13 13 8<br /> | ||
</td> | </td> | ||
<td>234.003<br /> | <td>234.003<br /> | ||
| Line 1,251: | Line 1,121: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,260: | Line 1,126: | ||
<td style="text-align: center;">503.226<br /> | <td style="text-align: center;">503.226<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">5 5 3<br /> | ||
</td> | </td> | ||
<td>233.7645<br /> | <td>233.7645<br /> | ||
| Line 1,277: | Line 1,143: | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;"><br /> | ||
</td> | |||
<td style="text-align: left;">31\74<br /> | |||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,292: | Line 1,154: | ||
<td style="text-align: center;">502.703<br /> | <td style="text-align: center;">502.703<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">12 12 7<br /> | ||
</td> | </td> | ||
<td>233.503<br /> | <td>233.503<br /> | ||
| Line 1,308: | Line 1,170: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;">18\43<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,324: | Line 1,182: | ||
<td style="text-align: center;">502.326<br /> | <td style="text-align: center;">502.326<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">7 7 4<br /> | ||
</td> | </td> | ||
<td>233.314<br /> | <td>233.314<br /> | ||
| Line 1,340: | Line 1,198: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;">23\55<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,356: | Line 1,210: | ||
<td style="text-align: center;">501.818<br /> | <td style="text-align: center;">501.818<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">9 9 5<br /> | ||
</td> | </td> | ||
<td>233.061<br /> | <td>233.061<br /> | ||
| Line 1,379: | Line 1,233: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,388: | Line 1,238: | ||
<td style="text-align: center;">500.000<br /> | <td style="text-align: center;">500.000<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">2 2 1<br /> | ||
</td> | </td> | ||
<td>232.152<br /> | <td>232.152<br /> | ||
| Line 1,398: | Line 1,248: | ||
<td>385.336<br /> | <td>385.336<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">Boundary of propriety <br /> | <td style="text-align: center;">Boundary of propriety<br /> | ||
(generators larger than this are proper)<br /> | (generators larger than this are proper)<br /> | ||
</td> | </td> | ||
| Line 1,405: | Line 1,255: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;">42\101<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
| Line 1,414: | Line 1,264: | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">499.010<br /> | <td style="text-align: center;">499.010<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">17 17 8<br /> | ||
</td> | </td> | ||
<td>231.6565<br /> | <td>231.6565<br /> | ||
| Line 1,437: | Line 1,283: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;"><span style="display: block; text-align: center;">37\89</span><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
| Line 1,446: | Line 1,292: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">498.876<br /> | <td style="text-align: center;">498.876<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">15 15 7<br /> | ||
</td> | </td> | ||
<td style="text-align: left;">231.590<br /> | <td style="text-align: left;">231.590<br /> | ||
| Line 1,469: | Line 1,311: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;"><span style="display: block; text-align: center;">32\77</span><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
| Line 1,476: | Line 1,318: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">498.701<br /> | <td style="text-align: center;">498.701<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">13 13 6<br /> | ||
</td> | </td> | ||
<td style="text-align: left;">231.502<br /> | <td style="text-align: left;">231.502<br /> | ||
| Line 1,501: | Line 1,339: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2" style="text-align: left;"><br /> | <td colspan="2" style="text-align: left;">27\65<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,517: | Line 1,351: | ||
<td style="text-align: center;">498.4615<br /> | <td style="text-align: center;">498.4615<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">11 11 5<br /> | ||
</td> | </td> | ||
<td>231.382<br /> | <td>231.382<br /> | ||
| Line 1,533: | Line 1,367: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2">22\53<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,549: | Line 1,379: | ||
<td style="text-align: center;">498.113<br /> | <td style="text-align: center;">498.113<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">9 9 4<br /> | ||
</td> | </td> | ||
<td>231.208<br /> | <td>231.208<br /> | ||
| Line 1,565: | Line 1,395: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2">17\41<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,581: | Line 1,407: | ||
<td style="text-align: center;">497.591<br /> | <td style="text-align: center;">497.591<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">7 7 3<br /> | ||
</td> | </td> | ||
<td>230.932<br /> | <td>230.932<br /> | ||
| Line 1,597: | Line 1,423: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2">29\70<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,613: | Line 1,435: | ||
<td style="text-align: center;">497.143<br /> | <td style="text-align: center;">497.143<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">12 12 5<br /> | ||
</td> | </td> | ||
<td>230.723<br /> | <td>230.723<br /> | ||
| Line 1,636: | Line 1,458: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,645: | Line 1,463: | ||
<td style="text-align: center;">496.552<br /> | <td style="text-align: center;">496.552<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">5 5 2<br /> | ||
</td> | </td> | ||
<td>230.4275<br /> | <td>230.4275<br /> | ||
| Line 1,662: | Line 1,480: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | |||
<td style="text-align: left;">31\75<br /> | |||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,677: | Line 1,491: | ||
<td style="text-align: center;">496.000<br /> | <td style="text-align: center;">496.000<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">13 13 5<br /> | ||
</td> | </td> | ||
<td>230.152<br /> | <td>230.152<br /> | ||
| Line 1,693: | Line 1,507: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2">19\46<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,709: | Line 1,519: | ||
<td style="text-align: center;">495.652<br /> | <td style="text-align: center;">495.652<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">8 8 3<br /> | ||
</td> | </td> | ||
<td>229.978<br /> | <td>229.978<br /> | ||
| Line 1,725: | Line 1,535: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2">26\63<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,741: | Line 1,547: | ||
<td style="text-align: center;">495.238<br /> | <td style="text-align: center;">495.238<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">11 11 4<br /> | ||
</td> | </td> | ||
<td>229.771<br /> | <td>229.771<br /> | ||
| Line 1,755: | Line 1,561: | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,771: | Line 1,575: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">494. | <td style="text-align: center;">494.233<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">2.97 2.97 1<br /> | ||
</td> | </td> | ||
<td>229. | <td>229.268<br /> | ||
</td> | </td> | ||
<td>264. | <td>264.965<br /> | ||
</td> | </td> | ||
<td>317. | <td>317.547<br /> | ||
</td> | </td> | ||
<td>388. | <td>388.220<br /> | ||
</td> | </td> | ||
<td style="text-align: center;">L/s = 3<br /> | <td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 3/2^(1/75)</span><br /> | ||
</td> | </td> | ||
</tr> | </tr> | ||
<tr> | <tr> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;">7\17<br /> | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
| Line 1,799: | Line 1,603: | ||
<td><br /> | <td><br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">494.118<br /> | ||
</td> | </td> | ||
<td><br /> | <td style="text-align: center;">3 3 1<br /> | ||
</td> | |||
<td>229.210<br /> | |||
</td> | |||
<td>264.907<br /> | |||
</td> | |||
<td>317.596<br /> | |||
</td> | |||
<td>388.286<br /> | |||
</td> | |||
<td style="text-align: center;">L/s = 3<br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td><br /> | |||
</td> | |||
<td style="text-align: center;">494.003<br /> | |||
</td> | |||
<td style="text-align: center;">3.03 3.03 1<br /> | |||
</td> | |||
<td>229.153<br /> | |||
</td> | |||
<td>264.850<br /> | |||
</td> | |||
<td>317.662<br /> | |||
</td> | |||
<td>388.335<br /> | |||
</td> | |||
<td style="text-align: center;"><span style="display: block; text-align: center;">L/s = 3*2^(1/75)</span><br /> | |||
</td> | |||
</tr> | |||
<tr> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
<td colspan="2">23\56<br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
<td style="text-align: left;"><br /> | |||
</td> | |||
<td style="text-align: center;"><br /> | |||
</td> | |||
<td><br /> | |||
</td> | </td> | ||
<td style="text-align: center;">492.857<br /> | <td style="text-align: center;">492.857<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">10 10 3<br /> | ||
</td> | </td> | ||
<td>228.580<br /> | <td>228.580<br /> | ||
| Line 1,828: | Line 1,686: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,837: | Line 1,691: | ||
<td style="text-align: center;">492.308<br /> | <td style="text-align: center;">492.308<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">7 7 2<br /> | ||
</td> | </td> | ||
<td>228.305<br /> | <td>228.305<br /> | ||
| Line 1,853: | Line 1,707: | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2">25\61<br /> | ||
</td> | </td> | ||
<td style="text-align: left;"> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,869: | Line 1,719: | ||
<td style="text-align: center;">491.803<br /> | <td style="text-align: center;">491.803<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">11 11 3<br /> | ||
</td> | </td> | ||
<td>228.053<br /> | <td>228.053<br /> | ||
| Line 1,892: | Line 1,742: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,901: | Line 1,747: | ||
<td style="text-align: center;">490.909<br /> | <td style="text-align: center;">490.909<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">4 4 1<br /> | ||
</td> | </td> | ||
<td>227.606<br /> | <td>227.606<br /> | ||
| Line 1,925: | Line 1,771: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,934: | Line 1,776: | ||
<td style="text-align: center;">489.796<br /> | <td style="text-align: center;">489.796<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">9 9 2<br /> | ||
</td> | </td> | ||
<td>227.050<br /> | <td>227.050<br /> | ||
| Line 1,957: | Line 1,799: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,966: | Line 1,804: | ||
<td style="text-align: center;">488.889<br /> | <td style="text-align: center;">488.889<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">5 5 1<br /> | ||
</td> | </td> | ||
<td>226.596<br /> | <td>226.596<br /> | ||
| Line 1,989: | Line 1,827: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 1,998: | Line 1,832: | ||
<td style="text-align: center;">487.500<br /> | <td style="text-align: center;">487.500<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">6 6 1<br /> | ||
</td> | </td> | ||
<td>225.9015<br /> | <td>225.9015<br /> | ||
| Line 2,019: | Line 1,853: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,030: | Line 1,860: | ||
<td style="text-align: center;">486.4865<br /> | <td style="text-align: center;">486.4865<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">7 7 1<br /> | ||
</td> | </td> | ||
<td>225.395<br /> | <td>225.395<br /> | ||
| Line 2,055: | Line 1,885: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td style="text-align: center;">485.714<br /> | <td style="text-align: center;">485.714<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">8 8 1<br /> | ||
</td> | </td> | ||
<td style="text-align: left;">225.009<br /> | <td style="text-align: left;">225.009<br /> | ||
| Line 2,083: | Line 1,909: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,094: | Line 1,916: | ||
<td style="text-align: center;">485.106<br /> | <td style="text-align: center;">485.106<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">9 9 1<br /> | ||
</td> | </td> | ||
<td>224.705<br /> | <td>224.705<br /> | ||
| Line 2,115: | Line 1,937: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,126: | Line 1,944: | ||
<td style="text-align: center;">484.615<br /> | <td style="text-align: center;">484.615<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">10 10 1<br /> | ||
</td> | </td> | ||
<td>224.459<br /> | <td>224.459<br /> | ||
| Line 2,147: | Line 1,965: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,158: | Line 1,972: | ||
<td style="text-align: center;">484.2105<br /> | <td style="text-align: center;">484.2105<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">11 11 1<br /> | ||
</td> | </td> | ||
<td>224.257<br /> | <td>224.257<br /> | ||
| Line 2,179: | Line 1,993: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,190: | Line 2,000: | ||
<td style="text-align: center;">483.871<br /> | <td style="text-align: center;">483.871<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">12 12 1<br /> | ||
</td> | </td> | ||
<td>224.087<br /> | <td>224.087<br /> | ||
| Line 2,211: | Line 2,021: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,222: | Line 2,028: | ||
<td style="text-align: center;">483.582<br /> | <td style="text-align: center;">483.582<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">13 13 1<br /> | ||
</td> | </td> | ||
<td>223.943<br /> | <td>223.943<br /> | ||
| Line 2,243: | Line 2,049: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,254: | Line 2,056: | ||
<td style="text-align: center;">483.333<br /> | <td style="text-align: center;">483.333<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">14 14 1<br /> | ||
</td> | </td> | ||
<td>223.818<br /> | <td>223.818<br /> | ||
| Line 2,275: | Line 2,077: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,286: | Line 2,084: | ||
<td style="text-align: center;">483.117<br /> | <td style="text-align: center;">483.117<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">15 15 1<br /> | ||
</td> | </td> | ||
<td>223.710<br /> | <td>223.710<br /> | ||
| Line 2,307: | Line 2,105: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,318: | Line 2,112: | ||
<td style="text-align: center;">482.927<br /> | <td style="text-align: center;">482.927<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">16 16 1<br /> | ||
</td> | </td> | ||
<td>223.615<br /> | <td>223.615<br /> | ||
| Line 2,339: | Line 2,133: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,350: | Line 2,140: | ||
<td style="text-align: center;">482.759<br /> | <td style="text-align: center;">482.759<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">17 17 1<br /> | ||
</td> | </td> | ||
<td>223.531<br /> | <td>223.531<br /> | ||
| Line 2,371: | Line 2,161: | ||
</td> | </td> | ||
<td style="text-align: left;"><br /> | <td style="text-align: left;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,382: | Line 2,168: | ||
<td style="text-align: center;">482.609<br /> | <td style="text-align: center;">482.609<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">18 18 1<br /> | ||
</td> | </td> | ||
<td>223.456<br /> | <td>223.456<br /> | ||
| Line 2,399: | Line 2,185: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,414: | Line 2,196: | ||
<td style="text-align: center;">482.474<br /> | <td style="text-align: center;">482.474<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">19 19 1<br /> | ||
</td> | </td> | ||
<td>223.389<br /> | <td>223.389<br /> | ||
| Line 2,431: | Line 2,213: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,446: | Line 2,224: | ||
<td style="text-align: center;">482.353<br /> | <td style="text-align: center;">482.353<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">20 20 1<br /> | ||
</td> | </td> | ||
<td>223.328<br /> | <td>223.328<br /> | ||
| Line 2,463: | Line 2,241: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,478: | Line 2,252: | ||
<td style="text-align: center;">482.243<br /> | <td style="text-align: center;">482.243<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">21 21 1<br /> | ||
</td> | </td> | ||
<td>223.273<br /> | <td>223.273<br /> | ||
| Line 2,495: | Line 2,269: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,510: | Line 2,280: | ||
<td style="text-align: center;">482.143<br /> | <td style="text-align: center;">482.143<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">22 22 1<br /> | ||
</td> | </td> | ||
<td>223.223<br /> | <td>223.223<br /> | ||
| Line 2,527: | Line 2,297: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,542: | Line 2,308: | ||
<td style="text-align: center;">482.051<br /> | <td style="text-align: center;">482.051<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">23 23 1<br /> | ||
</td> | </td> | ||
<td>223.177<br /> | <td>223.177<br /> | ||
| Line 2,559: | Line 2,325: | ||
</td> | </td> | ||
<td colspan="2"><br /> | <td colspan="2"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,574: | Line 2,336: | ||
<td style="text-align: center;">481.967<br /> | <td style="text-align: center;">481.967<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">24 24 1<br /> | ||
</td> | </td> | ||
<td>223.135<br /> | <td>223.135<br /> | ||
| Line 2,597: | Line 2,359: | ||
</td> | </td> | ||
<td style="text-align: center;"><br /> | <td style="text-align: center;"><br /> | ||
</td> | </td> | ||
<td><br /> | <td><br /> | ||
| Line 2,606: | Line 2,364: | ||
<td style="text-align: center;">480.000<br /> | <td style="text-align: center;">480.000<br /> | ||
</td> | </td> | ||
<td style="text-align: center;"> | <td style="text-align: center;">1 1 0<br /> | ||
</td> | </td> | ||
<td>222.152<br /> | <td>222.152<br /> | ||
| Line 2,626: | Line 2,384: | ||
Temperaments below 5\12 on this chart are called &quot;positive temperaments&quot; and they include Pythagorean tuning itself (well approximated by 22\53) as well as superpyth temperaments such as 7\17 and 9\22. As these tunings approach 2\5, the majors become sharper and the minors become flatter. Around 9\22, the thirds fall closer to 7-limit than 5-limit intervals: 7:6 and 9:7 as opposed to 6:5 and 5:4.<br /> | Temperaments below 5\12 on this chart are called &quot;positive temperaments&quot; and they include Pythagorean tuning itself (well approximated by 22\53) as well as superpyth temperaments such as 7\17 and 9\22. As these tunings approach 2\5, the majors become sharper and the minors become flatter. Around 9\22, the thirds fall closer to 7-limit than 5-limit intervals: 7:6 and 9:7 as opposed to 6:5 and 5:4.<br /> | ||
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5L 2s contains the pentatonic MOS <a class="wiki_link" href="/2L%203s">2L 3s</a> and (with the sole exception of the 5L 2s of 12edo) is itself contained in a dodecaphonic MOS: either <a class="wiki_link" href="/7L%205s">7L 5s</a> or <a class="wiki_link" href="/5L%207s">5L 7s</a>.</body></html></pre></div> | 5L 2s contains the pentatonic MOS <a class="wiki_link" href="/2L%203s">2L 3s</a> and (with the sole exception of the 5L 2s of 12edo) is itself contained in a dodecaphonic MOS: either <a class="wiki_link" href="/7L%205s">7L 5s</a> or <a class="wiki_link" href="/5L%207s">5L 7s</a>.</body></html></pre></div> | ||