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12L 1s: Difference between revisions

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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>
{{Infobox MOS}}


{| class="wikitable"
{{MOS intro|Other Names=quasidozenal}}
|-
 
! colspan="3" | Generator
Quasidozenal does not have many [[regular temperament]] applications.  
! | <span style="font-size: 12.8000001907349px;">Cents</span>
 
! | <span style="font-size: 12.8000001907349px;">12g</span>
However, it becomes a compressed [[12edo]] scale when you ignore the octave (this obviously does not work when the generator is very near 12edo (within -7/24{{cent}} of it), for the 13th degree of the scale registers as identical to the octave for human listeners.
|-
 
| | 1/13
And it becomes indistinct from [[13edo]] or [[1L 11s]] in the 1.75{{cent}} above 1\13 because the large and small steps register as identical to one another for human listeners).
| |
 
| |
== Modes ==
| | 92.308
{{MOS modes}}
| | <span style="font-size: 12.8000001907349px;">1107.692</span>
 
|-
== Intervals ==
| | 5/64
{{MOS intervals}}
| |
 
| |
== Scale tree ==
| | 93.75
{{MOS tuning spectrum}}
| | <span style="font-size: 12.8000001907349px;">1125</span>
 
|-
{{Todo|cleanup|add etymology|inline=1|text=Clean up lead section, find out who first proposed the name quasidozenal}}
| |
 
| | 9/115
[[Category:13-tone scales]]
| |
| | 93.913
| | <span style="font-size: 12.8000001907349px;">1126.9565</span>
|-
| |
| | 13/166
| |
| | 93.976
| | <span style="font-size: 12.8000001907349px;">1127.711</span>
|-
| |
| | 17/217
| |
| | 94.009
| | <span style="font-size: 12.8000001907349px;">1128.111</span>
|-
| | 4/51
| |
| |
| | 94.118
| | <span style="font-size: 12.8000001907349px;">1129.412</span>
|-
| |
| | 15/191
| |
| | 94.241
| | <span style="font-size: 12.8000001907349px;">1130.89</span>
|-
| |
| | 11/140
| |
| | 94.296
| | <span style="font-size: 12.8000001907349px;">1131 3/7</span>
|-
| |
| | 7/89
| |
| | 94.382
| | <span style="font-size: 12.8000001907349px;">1132.584</span>
|-
| |
| | 10/127
| |
| | 94.448
| | <span style="font-size: 12.8000001907349px;">1133.858</span>
|-
| |
| | 13/165
| |
| | 94.5455
| | <span style="font-size: 12.8000001907349px;">1134.5455</span>
|-
| |
| | 16/203
| |
| | 94.581
| | <span style="font-size: 12.8000001907349px;">1134.975</span>
|-
| |
| | 19/241
| |
| | 94.606
| | <span style="font-size: 12.8000001907349px;">1135.27</span>
|-
| | 3/38
| |
| |
| | 94.737
| | <span style="font-size: 12.8000001907349px;">1136.842</span>
|-
| |
| | 26/329
| |
| | 94.8875
| | <span style="font-size: 12.8000001907349px;">1137.6505</span>
|-
| |
| | 23/291
| |
| | 94.845
| | <span style="font-size: 12.8000001907349px;">1138.1443</span>
|-
| |
| | 20/253
| |
| | 94.862
| | <span style="font-size: 12.8000001907349px;">1138.34</span>
|-
| |
| | 17/215
| |
| | 94.884
| | <span style="font-size: 12.8000001907349px;">1138.605</span>
|-
| |
| | 14/177
| |
| | 94.915
| | <span style="font-size: 12.8000001907349px;">1138.983</span>
|-
| |
| |
| |
| | 94.962
| | 1139.545
|-
| |
| | 11/139
| |
| | 94.964
| | <span style="font-size: 12.8000001907349px;">1139.568</span>
|-
| |
| | 8/101
| |
| | 95.0495
| | <span style="font-size: 12.8000001907349px;">1140.594</span>
|-
| |
| |
| |
| | 95.102
| | 1141.224
|-
| |
| |
| | 13/164
| | 95.122
| | <span style="font-size: 12.8000001907349px;">1141.463</span>
|-
| |
| | 5/63
| |
| | 95.238
| | <span style="font-size: 12.8000001907349px;">1142.714</span>
|-
| |
| |
| | 17/214
| | 95.374
| | <span style="font-size: 12.8000001907349px;">1143.486</span>
|-
| |
| |
| | 12/151
| | 95.362
| | <span style="font-size: 12.8000001907349px;">1144.371</span>
|-
| |
| |
| |
| | 95.41
| | 1144.915
|-
| |
| | 7/88
| |
| | 95,4545
| | <span style="font-size: 12.8000001907349px;">1145.4545</span>
|-
| |
| | 9/113
| |
| | 95.575
| | <span style="font-size: 12.8000001907349px;">1146.903</span>
|-
| |
| | 11/138
| |
| | 95.652
| | <span style="font-size: 12.8000001907349px;">1147.826</span>
|-
| |
| | 13/163
| |
| | 95.7055
| | <span style="font-size: 12.8000001907349px;">1148.466</span>
|-
| |
| | 15/188
| |
| | 95.745
| | <span style="font-size: 12.8000001907349px;">1148.936</span>
|-
| |
| | 17/213
| |
| | 95.775
| | <span style="font-size: 12.8000001907349px;">1149.296</span>
|-
| |
| | 19/238
| |
| | 95.798
| | <span style="font-size: 12.8000001907349px;">1149.58</span>
|-
| |
| | 21/263
| |
| | 95.8175
| | <span style="font-size: 12.8000001907349px;">1149.81</span>
|-
| |
| | 23/288
| |
| | 95.833
| | <span style="font-size: 12.8000001907349px;">1150</span>
|-
| |
| | 25/313
| |
| | 95.847
| | <span style="font-size: 12.8000001907349px;">1150.16</span>
|-
| |
| | 27/338
| |
| | 95.858
| | <span style="font-size: 12.8000001907349px;">1150.296</span>
|-
| |
| | 29/363
| |
| | 95.868
| | <span style="font-size: 12.8000001907349px;">1150.467</span>
|-
| |
| | 31/388
| |
| | 95.876
| | <span style="font-size: 12.8000001907349px;">1150.5155</span>
|-
| |
| | 33/413
| |
| | 95.884
| | <span style="font-size: 12.8000001907349px;">1150.605</span>
|-
| |
| | 35/438
| |
| | 95.89
| | <span style="font-size: 12.8000001907349px;">1150.685</span>
|-
| |
| | 37/463
| |
| | 95.896
| | <span style="font-size: 12.8000001907349px;">1150.75</span>
|-
| |
| | 39/488
| |
| | 95.902
| | <span style="font-size: 12.8000001907349px;">1150.82</span>
|-
| |
| | 41/513
| |
| | 95.906
| | <span style="font-size: 12.8000001907349px;">1150.877</span>
|-
| |
| | 43/538
| |
| | 95.911
| | <span style="font-size: 12.8000001907349px;">1150.929</span>
|-
| |
| | 45/563
| |
| | 95.915
| | <span style="font-size: 12.8000001907349px;">1150.977</span>
|-
| |
| | 47/588
| |
| | 95.918
| | <span style="font-size: 12.8000001907349px;">1151.02</span>
|-
| | 2/25
| |
| |
| | 96
| | <span style="font-size: 12.8000001907349px;">1152</span>
|-
| |
| | 25/312
| |
| | 96.154
| | <span style="font-size: 12.8000001907349px;">1153.846</span>
|-
| |
| | 23/287
| |
| | 96.167
| | <span style="font-size: 12.8000001907349px;">1154.007</span>
|-
| |
| | 21/262
| |
| | 96.183
| | <span style="font-size: 12.8000001907349px;">1154.1985</span>
|-
| |
| | 19/237
| |
| | 96.2025
| | <span style="font-size: 12.8000001907349px;">1154,43</span>
|-
| |
| | 17/212
| |
| | 96.226
| | <span style="font-size: 12.8000001907349px;">1154.717</span>
|-
| |
| | 15/187
| |
| | 96.257
| | <span style="font-size: 12.8000001907349px;">1155.08</span>
|-
| |
| | 13/162
| |
| | 96.296
| | <span style="font-size: 12.8000001907349px;">1155.556</span>
|-
| |
| | 11/137
| |
| | 96.35
| | <span style="font-size: 12.8000001907349px;">1156.204</span>
|-
| |
| | 9/112
| |
| | 96.429
| | <span style="font-size: 12.8000001907349px;">1157.143</span>
|-
| |
| | 7/87
| |
| | 96.552
| | <span style="font-size: 12.8000001907349px;">1158.621</span>
|-
| |
| |
| | 12/149
| | 96.644
| | <span style="font-size: 12.8000001907349px;">1159.7315</span>
|-
| |
| |
| | 17/211
| | 96.6825
| | <span style="font-size: 12.8000001907349px;">1160.278</span>
|-
| |
| | 5/62
| |
| | 96.774
| | <span style="font-size: 12.8000001907349px;">1161.29</span>
|-
| |
| |
| | 13/161
| | 96.894
| | <span style="font-size: 12.8000001907349px;">1162.733</span>
|-
| |
| |
| |
| | 96.915
| | 1162.982
|-
| |
| | 8/99
| |
| | 96.97
| | <span style="font-size: 12.8000001907349px;">1163.636</span>
|-
| |
| | 11/136
| |
| | 97.059
| | <span style="font-size: 12.8000001907349px;">1164.706</span>
|-
| |
| |
| |
| | 97.0255
| | <span style="font-size: 12.8000001907349px;">1164.306</span>
|-
| |
| | 14/173
| |
| | 97.11
| | <span style="font-size: 12.8000001907349px;">116</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">5.318</span>
|-
| |
| | 17/210
| |
| | 97.143
| | <span style="font-size: 12.8000001907349px;">116</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">5.714</span>
|-
| |
| | 20/247
| |
| | 97.166
| | <span style="font-size: 12.8000001907349px;">116</span><span style="font-size: 12.8000001907349px; line-height: 1.5;">5.992</span>
|-
| |
| | 23/284
| |
| | 97.<span style="line-height: 1.5;">183</span>
| | 116<span style="font-size: 12.8000001907349px; line-height: 1.5;">6.197</span>
|-
| | 3/37
| |
| |
| | 97.297
| | <span style="font-size: 12.8000001907349px;">1167.568</span>
|-
| |
| | 25/308
| |
| | 97.403
| | 1168<span style="font-size: 12.8000001907349px; line-height: 1.5;">.831</span>
|-
| |
| |
| |
| | 97.416
| | <span style="font-size: 12.8000001907349px;">1168.9915</span>
|-
| |
| | 22/271
| |
| | 97.417
| | <span style="font-size: 12.8000001907349px;">1169.004</span>
|-
| |
| | 19/234
| |
| | 97.436
| | <span style="font-size: 12.8000001907349px;">1169.231</span>
|-
| |
| | 16/197
| |
| | 97.462
| | <span style="font-size: 12.8000001907349px;">1169.543</span>
|-
| |
| | 13/160
| |
| | 97.5
| | <span style="font-size: 12.8000001907349px;">1170</span>
|-
| |
| | 10/123
| |
| | 97.561
| | <span style="font-size: 12.8000001907349px;">1170.731</span>
|-
| |
| |
| | 17/209
| | 97.608
| | <span style="font-size: 12.8000001907349px;">1171.292</span>
|-
| |
| | 7/86
| |
| | 97.674
| | <span style="font-size: 12.8000001907349px;">1172.093</span>
|-
| |
| | 11/135
| |
| | 97,778
| | <span style="font-size: 12.8000001907349px;">1173.333</span>
|-
| |
| | 15/184
| |
| | 97.826
| | <span style="font-size: 12.8000001907349px;">1173.913</span>
|-
| |
| | 19/233
| |
| | 97.854
| | <span style="font-size: 12.8000001907349px;">1174.249</span>
|-
| | 4/49
| |
| |
| | 97.959
| | <span style="font-size: 12.8000001907349px;">1175.51</span>
|-
| |
| | 17/208
| |
| | 98.077
| | <span style="font-size: 12.8000001907349px;">1176.923</span>
|-
| |
| | 13/159
| |
| | 98.113
| | <span style="font-size: 12.8000001907349px;">1177.3585</span>
|-
| |
| | 9/110
| |
| | 98.182
| | <span style="font-size: 12.8000001907349px;">1178.182</span>
|-
| |
| | 14/171
| |
| | 98.246
| | <span style="font-size: 12.8000001907349px;">1178.947</span>
|-
| |
| | 19/232
| |
| | 98.276
| | <span style="font-size: 12.8000001907349px;">1179.31</span>
|-
| | 5/61
| |
| |
| | 98.361
| | <span style="font-size: 12.8000001907349px;">1180.323</span>
|-
| | 1/12
| |
| |
| | 100
| | 1200
|}
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