Xenharmonic Wiki

12L 1s: Difference between revisions

← Older edit
VisualWikitext
m Categories
ArrowHead294 (talk | contribs)
15,213 edits
mNo edit summary
 
(18 intermediate revisions by 6 users not shown)
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 (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).
{{Infobox MOS}}


{| class="wikitable"
{{MOS intro|Other Names=quasidozenal}}
|-
! colspan="3" | Generator
! | Cents
! | 12g
|-
| | 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
|-
| |
| | 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
|-
| |
| | 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
|}


[[Category:Abstract MOS patterns]]
Quasidozenal does not have many [[regular temperament]] applications.
[[category:todo:unify precision]]
 
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).
 
== Modes ==
{{MOS modes}}
 
== Intervals ==
{{MOS intervals}}
 
== Scale tree ==
{{MOS tuning spectrum}}
 
{{Todo|cleanup|add etymology|inline=1|text=Clean up lead section, find out who first proposed the name quasidozenal}}
 
[[Category:13-tone scales]]
Retrieved from "https://en.xen.wiki/w/12L_1s"