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12L 1s: Difference between revisions

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Line 1: Line 1:
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 <span style="font-size: 12.8000001907349px; line-height: 15.6000003814697px;">(within -7/24¢ of it)</span><span style="font-size: 13px; line-height: 1.5;">, 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|1L 11s]]) in the 1.75¢ above 1/13edo because the large and small steps register as identical to one another for human listeners).</span>
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
! | <span style="font-size: 12.8000001907349px;">Cents</span>
! | Cents
! | <span style="font-size: 12.8000001907349px;">12g</span>
! | 12g
|-
|-
| | 1/13
| | 1/13
Line 11: Line 11:
| |  
| |  
| | 92.308
| | 92.308
| | <span style="font-size: 12.8000001907349px;">1107.692</span>
| | 1107.692
|-
|-
| | 5/64
| | 5/64
Line 17: Line 17:
| |  
| |  
| | 93.75
| | 93.75
| | <span style="font-size: 12.8000001907349px;">1125</span>
| | 1125
|-
|-
| |  
| |  
Line 23: Line 23:
| |  
| |  
| | 93.913
| | 93.913
| | <span style="font-size: 12.8000001907349px;">1126.9565</span>
| | 1126.9565
|-
|-
| |  
| |  
Line 29: Line 29:
| |  
| |  
| | 93.976
| | 93.976
| | <span style="font-size: 12.8000001907349px;">1127.711</span>
| | 1127.711
|-
|-
| |  
| |  
Line 35: Line 35:
| |  
| |  
| | 94.009
| | 94.009
| | <span style="font-size: 12.8000001907349px;">1128.111</span>
| | 1128.111
|-
|-
| | 4/51
| | 4/51
Line 41: Line 41:
| |  
| |  
| | 94.118
| | 94.118
| | <span style="font-size: 12.8000001907349px;">1129.412</span>
| | 1129.412
|-
|-
| |  
| |  
Line 47: Line 47:
| |  
| |  
| | 94.241
| | 94.241
| | <span style="font-size: 12.8000001907349px;">1130.89</span>
| | 1130.89
|-
|-
| |  
| |  
Line 53: Line 53:
| |  
| |  
| | 94.296
| | 94.296
| | <span style="font-size: 12.8000001907349px;">1131 3/7</span>
| | 1131 3/7
|-
|-
| |  
| |  
Line 59: Line 59:
| |  
| |  
| | 94.382
| | 94.382
| | <span style="font-size: 12.8000001907349px;">1132.584</span>
| | 1132.584
|-
|-
| |  
| |  
Line 65: Line 65:
| |  
| |  
| | 94.448
| | 94.448
| | <span style="font-size: 12.8000001907349px;">1133.858</span>
| | 1133.858
|-
|-
| |  
| |  
Line 71: Line 71:
| |  
| |  
| | 94.5455
| | 94.5455
| | <span style="font-size: 12.8000001907349px;">1134.5455</span>
| | 1134.5455
|-
|-
| |  
| |  
Line 77: Line 77:
| |  
| |  
| | 94.581
| | 94.581
| | <span style="font-size: 12.8000001907349px;">1134.975</span>
| | 1134.975
|-
|-
| |  
| |  
Line 83: Line 83:
| |  
| |  
| | 94.606
| | 94.606
| | <span style="font-size: 12.8000001907349px;">1135.27</span>
| | 1135.27
|-
|-
| | 3/38
| | 3/38
Line 89: Line 89:
| |  
| |  
| | 94.737
| | 94.737
| | <span style="font-size: 12.8000001907349px;">1136.842</span>
| | 1136.842
|-
|-
| |  
| |  
Line 95: Line 95:
| |  
| |  
| | 94.8875
| | 94.8875
| | <span style="font-size: 12.8000001907349px;">1137.6505</span>
| | 1137.6505
|-
|-
| |  
| |  
Line 101: Line 101:
| |  
| |  
| | 94.845
| | 94.845
| | <span style="font-size: 12.8000001907349px;">1138.1443</span>
| | 1138.1443
|-
|-
| |  
| |  
Line 107: Line 107:
| |  
| |  
| | 94.862
| | 94.862
| | <span style="font-size: 12.8000001907349px;">1138.34</span>
| | 1138.34
|-
|-
| |  
| |  
Line 113: Line 113:
| |  
| |  
| | 94.884
| | 94.884
| | <span style="font-size: 12.8000001907349px;">1138.605</span>
| | 1138.605
|-
|-
| |  
| |  
Line 119: Line 119:
| |  
| |  
| | 94.915
| | 94.915
| | <span style="font-size: 12.8000001907349px;">1138.983</span>
| | 1138.983
|-
|-
| |  
| |  
Line 131: Line 131:
| |  
| |  
| | 94.964
| | 94.964
| | <span style="font-size: 12.8000001907349px;">1139.568</span>
| | 1139.568
|-
|-
| |  
| |  
Line 137: Line 137:
| |  
| |  
| | 95.0495
| | 95.0495
| | <span style="font-size: 12.8000001907349px;">1140.594</span>
| | 1140.594
|-
|-
| |  
| |  
Line 149: Line 149:
| | 13/164
| | 13/164
| | 95.122
| | 95.122
| | <span style="font-size: 12.8000001907349px;">1141.463</span>
| | 1141.463
|-
|-
| |  
| |  
Line 155: Line 155:
| |  
| |  
| | 95.238
| | 95.238
| | <span style="font-size: 12.8000001907349px;">1142.714</span>
| | 1142.714
|-
|-
| |  
| |  
Line 161: Line 161:
| | 17/214
| | 17/214
| | 95.374
| | 95.374
| | <span style="font-size: 12.8000001907349px;">1143.486</span>
| | 1143.486
|-
|-
| |  
| |  
Line 167: Line 167:
| | 12/151
| | 12/151
| | 95.362
| | 95.362
| | <span style="font-size: 12.8000001907349px;">1144.371</span>
| | 1144.371
|-
|-
| |  
| |  
Line 179: Line 179:
| |  
| |  
| | 95,4545
| | 95,4545
| | <span style="font-size: 12.8000001907349px;">1145.4545</span>
| | 1145.4545
|-
|-
| |  
| |  
Line 185: Line 185:
| |  
| |  
| | 95.575
| | 95.575
| | <span style="font-size: 12.8000001907349px;">1146.903</span>
| | 1146.903
|-
|-
| |  
| |  
Line 191: Line 191:
| |  
| |  
| | 95.652
| | 95.652
| | <span style="font-size: 12.8000001907349px;">1147.826</span>
| | 1147.826
|-
|-
| |  
| |  
Line 197: Line 197:
| |  
| |  
| | 95.7055
| | 95.7055
| | <span style="font-size: 12.8000001907349px;">1148.466</span>
| | 1148.466
|-
|-
| |  
| |  
Line 203: Line 203:
| |  
| |  
| | 95.745
| | 95.745
| | <span style="font-size: 12.8000001907349px;">1148.936</span>
| | 1148.936
|-
|-
| |  
| |  
Line 209: Line 209:
| |  
| |  
| | 95.775
| | 95.775
| | <span style="font-size: 12.8000001907349px;">1149.296</span>
| | 1149.296
|-
|-
| |  
| |  
Line 215: Line 215:
| |  
| |  
| | 95.798
| | 95.798
| | <span style="font-size: 12.8000001907349px;">1149.58</span>
| | 1149.58
|-
|-
| |  
| |  
Line 221: Line 221:
| |  
| |  
| | 95.8175
| | 95.8175
| | <span style="font-size: 12.8000001907349px;">1149.81</span>
| | 1149.81
|-
|-
| |  
| |  
Line 227: Line 227:
| |  
| |  
| | 95.833
| | 95.833
| | <span style="font-size: 12.8000001907349px;">1150</span>
| | 1150
|-
|-
| |  
| |  
Line 233: Line 233:
| |  
| |  
| | 95.847
| | 95.847
| | <span style="font-size: 12.8000001907349px;">1150.16</span>
| | 1150.16
|-
|-
| |  
| |  
Line 239: Line 239:
| |  
| |  
| | 95.858
| | 95.858
| | <span style="font-size: 12.8000001907349px;">1150.296</span>
| | 1150.296
|-
|-
| |  
| |  
Line 245: Line 245:
| |  
| |  
| | 95.868
| | 95.868
| | <span style="font-size: 12.8000001907349px;">1150.467</span>
| | 1150.467
|-
|-
| |  
| |  
Line 251: Line 251:
| |  
| |  
| | 95.876
| | 95.876
| | <span style="font-size: 12.8000001907349px;">1150.5155</span>
| | 1150.5155
|-
|-
| |  
| |  
Line 257: Line 257:
| |  
| |  
| | 95.884
| | 95.884
| | <span style="font-size: 12.8000001907349px;">1150.605</span>
| | 1150.605
|-
|-
| |  
| |  
Line 263: Line 263:
| |  
| |  
| | 95.89
| | 95.89
| | <span style="font-size: 12.8000001907349px;">1150.685</span>
| | 1150.685
|-
|-
| |  
| |  
Line 269: Line 269:
| |  
| |  
| | 95.896
| | 95.896
| | <span style="font-size: 12.8000001907349px;">1150.75</span>
| | 1150.75
|-
|-
| |  
| |  
Line 275: Line 275:
| |  
| |  
| | 95.902
| | 95.902
| | <span style="font-size: 12.8000001907349px;">1150.82</span>
| | 1150.82
|-
|-
| |  
| |  
Line 281: Line 281:
| |  
| |  
| | 95.906
| | 95.906
| | <span style="font-size: 12.8000001907349px;">1150.877</span>
| | 1150.877
|-
|-
| |  
| |  
Line 287: Line 287:
| |  
| |  
| | 95.911
| | 95.911
| | <span style="font-size: 12.8000001907349px;">1150.929</span>
| | 1150.929
|-
|-
| |  
| |  
Line 293: Line 293:
| |  
| |  
| | 95.915
| | 95.915
| | <span style="font-size: 12.8000001907349px;">1150.977</span>
| | 1150.977
|-
|-
| |  
| |  
Line 299: Line 299:
| |  
| |  
| | 95.918
| | 95.918
| | <span style="font-size: 12.8000001907349px;">1151.02</span>
| | 1151.02
|-
|-
| | 2/25
| | 2/25
Line 305: Line 305:
| |  
| |  
| | 96
| | 96
| | <span style="font-size: 12.8000001907349px;">1152</span>
| | 1152
|-
|-
| |  
| |  
Line 311: Line 311:
| |  
| |  
| | 96.154
| | 96.154
| | <span style="font-size: 12.8000001907349px;">1153.846</span>
| | 1153.846
|-
|-
| |  
| |  
Line 317: Line 317:
| |  
| |  
| | 96.167
| | 96.167
| | <span style="font-size: 12.8000001907349px;">1154.007</span>
| | 1154.007
|-
|-
| |  
| |  
Line 323: Line 323:
| |  
| |  
| | 96.183
| | 96.183
| | <span style="font-size: 12.8000001907349px;">1154.1985</span>
| | 1154.1985
|-
|-
| |  
| |  
Line 329: Line 329:
| |  
| |  
| | 96.2025
| | 96.2025
| | <span style="font-size: 12.8000001907349px;">1154,43</span>
| | 1154,43
|-
|-
| |  
| |  
Line 335: Line 335:
| |  
| |  
| | 96.226
| | 96.226
| | <span style="font-size: 12.8000001907349px;">1154.717</span>
| | 1154.717
|-
|-
| |  
| |  
Line 341: Line 341:
| |  
| |  
| | 96.257
| | 96.257
| | <span style="font-size: 12.8000001907349px;">1155.08</span>
| | 1155.08
|-
|-
| |  
| |  
Line 347: Line 347:
| |  
| |  
| | 96.296
| | 96.296
| | <span style="font-size: 12.8000001907349px;">1155.556</span>
| | 1155.556
|-
|-
| |  
| |  
Line 353: Line 353:
| |  
| |  
| | 96.35
| | 96.35
| | <span style="font-size: 12.8000001907349px;">1156.204</span>
| | 1156.204
|-
|-
| |  
| |  
Line 359: Line 359:
| |  
| |  
| | 96.429
| | 96.429
| | <span style="font-size: 12.8000001907349px;">1157.143</span>
| | 1157.143
|-
|-
| |  
| |  
Line 365: Line 365:
| |  
| |  
| | 96.552
| | 96.552
| | <span style="font-size: 12.8000001907349px;">1158.621</span>
| | 1158.621
|-
|-
| |  
| |  
Line 371: Line 371:
| | 12/149
| | 12/149
| | 96.644
| | 96.644
| | <span style="font-size: 12.8000001907349px;">1159.7315</span>
| | 1159.7315
|-
|-
| |  
| |  
Line 377: Line 377:
| | 17/211
| | 17/211
| | 96.6825
| | 96.6825
| | <span style="font-size: 12.8000001907349px;">1160.278</span>
| | 1160.278
|-
|-
| |  
| |  
Line 383: Line 383:
| |  
| |  
| | 96.774
| | 96.774
| | <span style="font-size: 12.8000001907349px;">1161.29</span>
| | 1161.29
|-
|-
| |  
| |  
Line 389: Line 389:
| | 13/161
| | 13/161
| | 96.894
| | 96.894
| | <span style="font-size: 12.8000001907349px;">1162.733</span>
| | 1162.733
|-
|-
| |  
| |  
Line 401: Line 401:
| |  
| |  
| | 96.97
| | 96.97
| | <span style="font-size: 12.8000001907349px;">1163.636</span>
| | 1163.636
|-
|-
| |  
| |  
Line 407: Line 407:
| |  
| |  
| | 97.059
| | 97.059
| | <span style="font-size: 12.8000001907349px;">1164.706</span>
| | 1164.706
|-
|-
| |  
| |  
Line 413: Line 413:
| |  
| |  
| | 97.0255
| | 97.0255
| | <span style="font-size: 12.8000001907349px;">1164.306</span>
| | 1164.306
|-
|-
| |  
| |  
Line 419: Line 419:
| |  
| |  
| | 97.11
| | 97.11
| | <span style="font-size: 12.8000001907349px;">116</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">5.318</span>
| | 1165.318
|-
|-
| |  
| |  
Line 425: Line 425:
| |  
| |  
| | 97.143
| | 97.143
| | <span style="font-size: 12.8000001907349px;">116</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">5.714</span>
| | 1165.714
|-
|-
| |  
| |  
Line 431: Line 431:
| |  
| |  
| | 97.166
| | 97.166
| | <span style="font-size: 12.8000001907349px;">116</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">5.992</span>
| | 1165.992
|-
|-
| |  
| |  
| | 23/284
| | 23/284
| |  
| |  
| | 97.<span style="line-height: 1.5;">183</span>
| | 97.183
| | 116<span style="font-size: 12.8000001907349px; line-height: 1.5;">6.197</span>
| | 1166.197
|-
|-
| | 3/37
| | 3/37
Line 443: Line 443:
| |  
| |  
| | 97.297
| | 97.297
| | <span style="font-size: 12.8000001907349px;">1167.568</span>
| | 1167.568
|-
|-
| |  
| |  
Line 449: Line 449:
| |  
| |  
| | 97.403
| | 97.403
| | 1168<span style="font-size: 12.8000001907349px; line-height: 1.5;">.831</span>
| | 1168.831
|-
|-
| |  
| |  
Line 455: Line 455:
| |  
| |  
| | 97.416
| | 97.416
| | <span style="font-size: 12.8000001907349px;">1168.9915</span>
| | 1168.9915
|-
|-
| |  
| |  
Line 461: Line 461:
| |  
| |  
| | 97.417
| | 97.417
| | <span style="font-size: 12.8000001907349px;">1169.004</span>
| | 1169.004
|-
|-
| |  
| |  
Line 467: Line 467:
| |  
| |  
| | 97.436
| | 97.436
| | <span style="font-size: 12.8000001907349px;">1169.231</span>
| | 1169.231
|-
|-
| |  
| |  
Line 473: Line 473:
| |  
| |  
| | 97.462
| | 97.462
| | <span style="font-size: 12.8000001907349px;">1169.543</span>
| | 1169.543
|-
|-
| |  
| |  
Line 479: Line 479:
| |  
| |  
| | 97.5
| | 97.5
| | <span style="font-size: 12.8000001907349px;">1170</span>
| | 1170
|-
|-
| |  
| |  
Line 485: Line 485:
| |  
| |  
| | 97.561
| | 97.561
| | <span style="font-size: 12.8000001907349px;">1170.731</span>
| | 1170.731
|-
|-
| |  
| |  
Line 491: Line 491:
| | 17/209
| | 17/209
| | 97.608
| | 97.608
| | <span style="font-size: 12.8000001907349px;">1171.292</span>
| | 1171.292
|-
|-
| |  
| |  
Line 497: Line 497:
| |  
| |  
| | 97.674
| | 97.674
| | <span style="font-size: 12.8000001907349px;">1172.093</span>
| | 1172.093
|-
|-
| |  
| |  
Line 503: Line 503:
| |  
| |  
| | 97,778
| | 97,778
| | <span style="font-size: 12.8000001907349px;">1173.333</span>
| | 1173.333
|-
|-
| |  
| |  
Line 509: Line 509:
| |  
| |  
| | 97.826
| | 97.826
| | <span style="font-size: 12.8000001907349px;">1173.913</span>
| | 1173.913
|-
|-
| |  
| |  
Line 515: Line 515:
| |  
| |  
| | 97.854
| | 97.854
| | <span style="font-size: 12.8000001907349px;">1174.249</span>
| | 1174.249
|-
|-
| | 4/49
| | 4/49
Line 521: Line 521:
| |  
| |  
| | 97.959
| | 97.959
| | <span style="font-size: 12.8000001907349px;">1175.51</span>
| | 1175.51
|-
|-
| |  
| |  
Line 527: Line 527:
| |  
| |  
| | 98.077
| | 98.077
| | <span style="font-size: 12.8000001907349px;">1176.923</span>
| | 1176.923
|-
|-
| |  
| |  
Line 533: Line 533:
| |  
| |  
| | 98.113
| | 98.113
| | <span style="font-size: 12.8000001907349px;">1177.3585</span>
| | 1177.3585
|-
|-
| |  
| |  
Line 539: Line 539:
| |  
| |  
| | 98.182
| | 98.182
| | <span style="font-size: 12.8000001907349px;">1178.182</span>
| | 1178.182
|-
|-
| |  
| |  
Line 545: Line 545:
| |  
| |  
| | 98.246
| | 98.246
| | <span style="font-size: 12.8000001907349px;">1178.947</span>
| | 1178.947
|-
|-
| |  
| |  
Line 551: Line 551:
| |  
| |  
| | 98.276
| | 98.276
| | <span style="font-size: 12.8000001907349px;">1179.31</span>
| | 1179.31
|-
|-
| | 5/61
| | 5/61
Line 557: Line 557:
| |  
| |  
| | 98.361
| | 98.361
| | <span style="font-size: 12.8000001907349px;">1180.323</span>
| | 1180.323
|-
|-
| | 1/12
| | 1/12
Line 565: Line 565:
| | 1200
| | 1200
|}
|}
[[category:todo:unify precision]]
Retrieved from "https://en.xen.wiki/w/12L_1s"