12L 1s: Difference between revisions
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This MOS, the | This MOS, the grumpy tridecatonic, apparently belongs to no particularly important temperament. However, it becomes a compressed 12ed scale when you ignore the octave (this obviously does not work when the generator is very near 12edo (within -7/24¢ of it), for the 13th degree of the scale registers as identical to the octave for human listeners, and it becomes indistinct from 13edo or the Happy dodecatonic ([[1L 11s]]) in the 1.75¢ above 1/13edo because the large and small steps register as identical to one another for human listeners). | ||
{| class="wikitable" | {| class="wikitable" | ||
|- | |- | ||
! colspan="3" | Generator | ! colspan="3" | Generator | ||
! | | ! | Cents | ||
! | | ! | 12g | ||
|- | |- | ||
| | 1/13 | | | 1/13 | ||
| Line 11: | Line 11: | ||
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| | 92.308 | | | 92.308 | ||
| | | | | 1107.692 | ||
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| | 5/64 | | | 5/64 | ||
| Line 17: | Line 17: | ||
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| | 93.75 | | | 93.75 | ||
| | | | | 1125 | ||
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| Line 23: | Line 23: | ||
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| | 93.913 | | | 93.913 | ||
| | | | | 1126.9565 | ||
|- | |- | ||
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| Line 29: | Line 29: | ||
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| | 93.976 | | | 93.976 | ||
| | | | | 1127.711 | ||
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| Line 35: | Line 35: | ||
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| | 94.009 | | | 94.009 | ||
| | | | | 1128.111 | ||
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| Line 41: | Line 41: | ||
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| | 94.118 | | | 94.118 | ||
| | | | | 1129.412 | ||
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| Line 47: | Line 47: | ||
| | | | | | ||
| | 94.241 | | | 94.241 | ||
| | | | | 1130.89 | ||
|- | |- | ||
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| Line 53: | Line 53: | ||
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| | 94.296 | | | 94.296 | ||
| | | | | 1131 3/7 | ||
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| | 94.382 | | | 94.382 | ||
| | | | | 1132.584 | ||
|- | |- | ||
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| Line 65: | Line 65: | ||
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| | 94.448 | | | 94.448 | ||
| | | | | 1133.858 | ||
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| Line 71: | Line 71: | ||
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| | 94.5455 | | | 94.5455 | ||
| | | | | 1134.5455 | ||
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| Line 77: | Line 77: | ||
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| | 94.581 | | | 94.581 | ||
| | | | | 1134.975 | ||
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| | 94.606 | | | 94.606 | ||
| | | | | 1135.27 | ||
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| | | | | 1136.842 | ||
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| Line 95: | Line 95: | ||
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| | 94.8875 | | | 94.8875 | ||
| | | | | 1137.6505 | ||
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| Line 101: | Line 101: | ||
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| | 94.845 | | | 94.845 | ||
| | | | | 1138.1443 | ||
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| Line 107: | Line 107: | ||
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| | 94.862 | | | 94.862 | ||
| | | | | 1138.34 | ||
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| | 94.884 | | | 94.884 | ||
| | | | | 1138.605 | ||
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| | 94.915 | | | 94.915 | ||
| | | | | 1138.983 | ||
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| Line 131: | Line 131: | ||
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| | 94.964 | | | 94.964 | ||
| | | | | 1139.568 | ||
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| Line 137: | Line 137: | ||
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| | 95.0495 | | | 95.0495 | ||
| | | | | 1140.594 | ||
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| | 13/164 | | | 13/164 | ||
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| | 95.238 | | | 95.238 | ||
| | | | | 1142.714 | ||
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| | 95,4545 | | | 95,4545 | ||
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| Line 185: | Line 185: | ||
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| | 95.575 | | | 95.575 | ||
| | | | | 1146.903 | ||
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| Line 191: | Line 191: | ||
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| | 95.652 | | | 95.652 | ||
| | | | | 1147.826 | ||
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| Line 197: | Line 197: | ||
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| | 95.7055 | | | 95.7055 | ||
| | | | | 1148.466 | ||
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| Line 203: | Line 203: | ||
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| | 95.745 | | | 95.745 | ||
| | | | | 1148.936 | ||
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| Line 209: | Line 209: | ||
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| | 95.775 | | | 95.775 | ||
| | | | | 1149.296 | ||
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| Line 215: | Line 215: | ||
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| | 95.798 | | | 95.798 | ||
| | | | | 1149.58 | ||
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| Line 221: | Line 221: | ||
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| | 95.8175 | | | 95.8175 | ||
| | | | | 1149.81 | ||
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| Line 227: | Line 227: | ||
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| | 95.833 | | | 95.833 | ||
| | | | | 1150 | ||
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| Line 233: | Line 233: | ||
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| | 95.847 | | | 95.847 | ||
| | | | | 1150.16 | ||
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| Line 239: | Line 239: | ||
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| | 95.858 | | | 95.858 | ||
| | | | | 1150.296 | ||
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| Line 245: | Line 245: | ||
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| | 95.868 | | | 95.868 | ||
| | | | | 1150.467 | ||
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| Line 251: | Line 251: | ||
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| | 95.876 | | | 95.876 | ||
| | | | | 1150.5155 | ||
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| Line 257: | Line 257: | ||
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| | 95.884 | | | 95.884 | ||
| | | | | 1150.605 | ||
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| Line 263: | Line 263: | ||
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| | 95.89 | | | 95.89 | ||
| | | | | 1150.685 | ||
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| Line 269: | Line 269: | ||
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| | 95.896 | | | 95.896 | ||
| | | | | 1150.75 | ||
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| Line 275: | Line 275: | ||
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| | 95.902 | | | 95.902 | ||
| | | | | 1150.82 | ||
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| Line 281: | Line 281: | ||
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| | 95.906 | | | 95.906 | ||
| | | | | 1150.877 | ||
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| Line 287: | Line 287: | ||
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| | 95.911 | | | 95.911 | ||
| | | | | 1150.929 | ||
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| Line 293: | Line 293: | ||
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| | 95.915 | | | 95.915 | ||
| | | | | 1150.977 | ||
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| Line 299: | Line 299: | ||
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| | 95.918 | | | 95.918 | ||
| | | | | 1151.02 | ||
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| | 2/25 | | | 2/25 | ||
| Line 305: | Line 305: | ||
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| | 96 | | | 96 | ||
| | | | | 1152 | ||
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| Line 311: | Line 311: | ||
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| | 96.154 | | | 96.154 | ||
| | | | | 1153.846 | ||
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| Line 317: | Line 317: | ||
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| | 96.167 | | | 96.167 | ||
| | | | | 1154.007 | ||
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| | 96.183 | | | 96.183 | ||
| | | | | 1154.1985 | ||
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| | 96.2025 | | | 96.2025 | ||
| | | | | 1154,43 | ||
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| Line 335: | Line 335: | ||
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| | 96.226 | | | 96.226 | ||
| | | | | 1154.717 | ||
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| Line 341: | Line 341: | ||
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| | 96.257 | | | 96.257 | ||
| | | | | 1155.08 | ||
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| Line 347: | Line 347: | ||
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| | 96.296 | | | 96.296 | ||
| | | | | 1155.556 | ||
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| Line 353: | Line 353: | ||
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| | 96.35 | | | 96.35 | ||
| | | | | 1156.204 | ||
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| Line 359: | Line 359: | ||
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| | 96.429 | | | 96.429 | ||
| | | | | 1157.143 | ||
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| Line 365: | Line 365: | ||
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| | 96.552 | | | 96.552 | ||
| | | | | 1158.621 | ||
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| Line 371: | Line 371: | ||
| | 12/149 | | | 12/149 | ||
| | 96.644 | | | 96.644 | ||
| | | | | 1159.7315 | ||
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| Line 377: | Line 377: | ||
| | 17/211 | | | 17/211 | ||
| | 96.6825 | | | 96.6825 | ||
| | | | | 1160.278 | ||
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| Line 383: | Line 383: | ||
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| | 96.774 | | | 96.774 | ||
| | | | | 1161.29 | ||
|- | |- | ||
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| Line 389: | Line 389: | ||
| | 13/161 | | | 13/161 | ||
| | 96.894 | | | 96.894 | ||
| | | | | 1162.733 | ||
|- | |- | ||
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| Line 401: | Line 401: | ||
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| | 96.97 | | | 96.97 | ||
| | | | | 1163.636 | ||
|- | |- | ||
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| Line 407: | Line 407: | ||
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| | 97.059 | | | 97.059 | ||
| | | | | 1164.706 | ||
|- | |- | ||
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| Line 413: | Line 413: | ||
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| | 97.0255 | | | 97.0255 | ||
| | | | | 1164.306 | ||
|- | |- | ||
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| Line 419: | Line 419: | ||
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| | 97.11 | | | 97.11 | ||
| | | | | 1165.318 | ||
|- | |- | ||
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| Line 425: | Line 425: | ||
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| | 97.143 | | | 97.143 | ||
| | | | | 1165.714 | ||
|- | |- | ||
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| Line 431: | Line 431: | ||
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| | 97.166 | | | 97.166 | ||
| | | | | 1165.992 | ||
|- | |- | ||
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| | 23/284 | | | 23/284 | ||
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| | 97. | | | 97.183 | ||
| | | | | 1166.197 | ||
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| | 3/37 | | | 3/37 | ||
| Line 443: | Line 443: | ||
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| | 97.297 | | | 97.297 | ||
| | | | | 1167.568 | ||
|- | |- | ||
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| Line 449: | Line 449: | ||
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| | 97.403 | | | 97.403 | ||
| | 1168 | | | 1168.831 | ||
|- | |- | ||
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| Line 455: | Line 455: | ||
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| | 97.416 | | | 97.416 | ||
| | | | | 1168.9915 | ||
|- | |- | ||
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| Line 461: | Line 461: | ||
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| | 97.417 | | | 97.417 | ||
| | | | | 1169.004 | ||
|- | |- | ||
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| Line 467: | Line 467: | ||
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| | 97.436 | | | 97.436 | ||
| | | | | 1169.231 | ||
|- | |- | ||
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| Line 473: | Line 473: | ||
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| | 97.462 | | | 97.462 | ||
| | | | | 1169.543 | ||
|- | |- | ||
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| Line 479: | Line 479: | ||
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| | 97.5 | | | 97.5 | ||
| | | | | 1170 | ||
|- | |- | ||
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| Line 485: | Line 485: | ||
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| | 97.561 | | | 97.561 | ||
| | | | | 1170.731 | ||
|- | |- | ||
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| Line 491: | Line 491: | ||
| | 17/209 | | | 17/209 | ||
| | 97.608 | | | 97.608 | ||
| | | | | 1171.292 | ||
|- | |- | ||
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| Line 497: | Line 497: | ||
| | | | | | ||
| | 97.674 | | | 97.674 | ||
| | | | | 1172.093 | ||
|- | |- | ||
| | | | | | ||
| Line 503: | Line 503: | ||
| | | | | | ||
| | 97,778 | | | 97,778 | ||
| | | | | 1173.333 | ||
|- | |- | ||
| | | | | | ||
| Line 509: | Line 509: | ||
| | | | | | ||
| | 97.826 | | | 97.826 | ||
| | | | | 1173.913 | ||
|- | |- | ||
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| Line 515: | Line 515: | ||
| | | | | | ||
| | 97.854 | | | 97.854 | ||
| | | | | 1174.249 | ||
|- | |- | ||
| | 4/49 | | | 4/49 | ||
| Line 521: | Line 521: | ||
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| | 97.959 | | | 97.959 | ||
| | | | | 1175.51 | ||
|- | |- | ||
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| Line 527: | Line 527: | ||
| | | | | | ||
| | 98.077 | | | 98.077 | ||
| | | | | 1176.923 | ||
|- | |- | ||
| | | | | | ||
| Line 533: | Line 533: | ||
| | | | | | ||
| | 98.113 | | | 98.113 | ||
| | | | | 1177.3585 | ||
|- | |- | ||
| | | | | | ||
| Line 539: | Line 539: | ||
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| | 98.182 | | | 98.182 | ||
| | | | | 1178.182 | ||
|- | |- | ||
| | | | | | ||
| Line 545: | Line 545: | ||
| | | | | | ||
| | 98.246 | | | 98.246 | ||
| | | | | 1178.947 | ||
|- | |- | ||
| | | | | | ||
| Line 551: | Line 551: | ||
| | | | | | ||
| | 98.276 | | | 98.276 | ||
| | | | | 1179.31 | ||
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| | 5/61 | | | 5/61 | ||
| Line 557: | Line 557: | ||
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| | 98.361 | | | 98.361 | ||
| | | | | 1180.323 | ||
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| | 1/12 | | | 1/12 | ||
| Line 565: | Line 565: | ||
| | 1200 | | | 1200 | ||
|} | |} | ||
[[category:todo:unify precision]] | |||