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12L 1s: Difference between revisions

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{{Infobox MOS
{{Infobox MOS}}
| Other names = grumpy tridecatonic
 
| Periods = 1
{{MOS Intro}}.
| nLargeSteps = 12
Apparently, it belongs to no particularly important temperament. 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, 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).
| nSmallSteps = 1
 
| Equalized = 1
== Modes ==
| Collapsed = 1
{{MOS modes}}
| Pattern = LLLLLLLLLLLLs
 
}}
== Intervals ==
The '''12L 1s''' [[MOS scale]], the grumpy tridecatonic, apparently belongs to no particularly important temperament. 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, and it becomes indistinct from 13edo or the Happy dodecatonic ([[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).
{{MOS degrees}}


== Scale tree ==
== Scale tree ==
{| class="wikitable"
{{Scale tree}}
|-
! colspan="3" | Generator
! Cents
! 12g
! Comments
|-
| 1\13
|
|
| 92.308
| 1107.692
|
|-
| 5\64
|
|
| 93.75
| 1125
|
|-
|
| 9\115
|
| 93.913
| 1126.9565
|
|-
|
| 13\166
|
| 93.976
| 1127.711
|
|-
|
| 17\217
|
| 94.009
| 1128.111
|
|-
| 4\51
|
|
| 94.118
| 1129.412
|
|-
|
| 15\191
|
| 94.241
| 1130.89
|
|-
|
| 11\140
|
| 94.296
| 1131 3\7
|
|-
|
| 7\89
|
| 94.382
| 1132.584
|
|-
|
| 10\127
|
| 94.448
| 1133.858
|
|-
|
| 13\165
|
| 94.5455
| 1134.5455
|
|-
|
| 16\203
|
| 94.581
| 1134.975
|
|-
|
| 19\241
|
| 94.606
| 1135.27
|
|-
| 3\38
|
|
| 94.737
| 1136.842
|
|-
|
| 26\329
|
| 94.8875
| 1137.6505
|
|-
|
| 23\291
|
| 94.845
| 1138.1443
|
|-
|
| 20\253
|
| 94.862
| 1138.34
|
|-
|
| 17\215
|
| 94.884
| 1138.605
|
|-
|
| 14\177
|
| 94.915
| 1138.983
|
|-
|
|
|
| 94.962
| 1139.545
|
|-
|
| 11\139
|
| 94.964
| 1139.568
|
|-
|
| 8\101
|
| 95.0495
| 1140.594
|
|-
|
|
|
| 95.102
| 1141.224
|
|-
|
|
| 13\164
| 95.122
| 1141.463
|
|-
|
| 5\63
|
| 95.238
| 1142.714
|
|-
|
|
| 17\214
| 95.374
| 1143.486
|
|-
|
|
| 12\151
| 95.362
| 1144.371
|
|-
|
|
|
| 95.41
| 1144.915
|
|-
|
| 7\88
|
| 95,4545
| 1145.4545
|
|-
|
| 9\113
|
| 95.575
| 1146.903
|
|-
|
| 11\138
|
| 95.652
| 1147.826
|
|-
|
| 13\163
|
| 95.7055
| 1148.466
|
|-
|
| 15\188
|
| 95.745
| 1148.936
|
|-
|
| 17\213
|
| 95.775
| 1149.296
|
|-
|
| 19\238
|
| 95.798
| 1149.58
|
|-
|
| 21\263
|
| 95.8175
| 1149.81
|
|-
|
| 23\288
|
| 95.833
| 1150
|
|-
|
| 25\313
|
| 95.847
| 1150.16
|
|-
|
| 27\338
|
| 95.858
| 1150.296
|
|-
|
| 29\363
|
| 95.868
| 1150.467
|
|-
|
| 31\388
|
| 95.876
| 1150.5155
|
|-
|
| 33\413
|
| 95.884
| 1150.605
|
|-
|
| 35\438
|
| 95.89
| 1150.685
|
|-
|
| 37\463
|
| 95.896
| 1150.75
|
|-
|
| 39\488
|
| 95.902
| 1150.82
|
|-
|
| 41\513
|
| 95.906
| 1150.877
|
|-
|
| 43\538
|
| 95.911
| 1150.929
|
|-
|
| 45\563
|
| 95.915
| 1150.977
|
|-
|
| 47\588
|
| 95.918
| 1151.02
|
|-
| 2\25
|
|
| 96
| 1152
| Passion
|-
|
| 25\312
|
| 96.154
| 1153.846
|
|-
|
| 23\287
|
| 96.167
| 1154.007
|
|-
|
| 21\262
|
| 96.183
| 1154.1985
|
|-
|
| 19\237
|
| 96.2025
| 1154,43
|
|-
|
| 17\212
|
| 96.226
| 1154.717
|
|-
|
| 15\187
|
| 96.257
| 1155.08
|
|-
|
| 13\162
|
| 96.296
| 1155.556
|
|-
|
| 11\137
|
| 96.35
| 1156.204
|
|-
|
| 9\112
|
| 96.429
| 1157.143
|
|-
|
| 7\87
|
| 96.552
| 1158.621
|
|-
|
|
| 12\149
| 96.644
| 1159.7315
|
|-
|
|
| 17\211
| 96.6825
| 1160.278
|
|-
|
| 5\62
|
| 96.774
| 1161.29
|
|-
|
|
| 13\161
| 96.894
| 1162.733
|
|-
|
|
|
| 96.915
| 1162.982
|
|-
|
| 8\99
|
| 96.97
| 1163.636
|
|-
|
| 11\136
|
| 97.059
| 1164.706
|
|-
|
|
|
| 97.0255
| 1164.306
|
|-
|
| 14\173
|
| 97.11
| 1165.318
|
|-
|
| 17\210
|
| 97.143
| 1165.714
|
|-
|
| 20\247
|
| 97.166
| 1165.992
|
|-
|
| 23\284
|
| 97.183
| 1166.197
|
|-
| 3\37
|
|
| 97.297
| 1167.568
| Passion
|-
|
| 25\308
|
| 97.403
| 1168.831
|
|-
|
|
|
| 97.416
| 1168.9915
|
|-
|
| 22\271
|
| 97.417
| 1169.004
|
|-
|
| 19\234
|
| 97.436
| 1169.231
|
|-
|
| 16\197
|
| 97.462
| 1169.543
|
|-
|
| 13\160
|
| 97.5
| 1170
|
|-
|
| 10\123
|
| 97.561
| 1170.731
|
|-
|
|
| 17\209
| 97.608
| 1171.292
|
|-
|
| 7\86
|
| 97.674
| 1172.093
|
|-
|
| 11\135
|
| 97,778
| 1173.333
|
|-
|
| 15\184
|
| 97.826
| 1173.913
|
|-
|
| 19\233
|
| 97.854
| 1174.249
|
|-
| 4\49
|
|
| 97.959
| 1175.51
|
|-
|
| 17\208
|
| 98.077
| 1176.923
|
|-
|
| 13\159
|
| 98.113
| 1177.3585
|
|-
|
| 9\110
|
| 98.182
| 1178.182
|
|-
|
| 14\171
|
| 98.246
| 1178.947
|
|-
|
| 19\232
|
| 98.276
| 1179.31
|
|-
| 5\61
|
|
| 98.361
| 1180.323
|
|-
| 1\12
|
|
| 100
| 1200
|}
 
{{todo|unify precision}}


[[Category:13-tone scales]]
[[Category:13-tone scales]]
Retrieved from "https://en.xen.wiki/w/12L_1s"