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8L 1s: Difference between revisions

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| Pattern = LLLLLLLLs
| Pattern = LLLLLLLLs
}}
}}
{{MOS intro}}


This MOS has a generator between 1\9edo (133 1/3 cents) and 1\8edo (150 cents). It thus generates a scale similar to nonatonic Indonesian gamelan scales (i.e. [http://www.neuroscience-of-music.se/pelog_main.htm Pelog] and Slendro plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher [https://en.wikipedia.org/wiki/Raden_Machjar_Angga_Koesoemadinata Raden Machjar Angga Koesoemadinata] or a median between the two) with a generator narrower than 2\17edo, and a largely-unknown scale family with a wider generator.
8L 1s generates a scale similar to nonatonic [[Indonesian]] gamelan scales (i.e. [[Pelog]] and [[Slendro]] plus 4 of the 12 microtonal adjustments from the theories of Sundanese composer-muiscologist-teacher [https://en.wikipedia.org/wiki/Raden_Machjar_Angga_Koesoemadinata Raden Machjar Angga Koesoemadinata] or a median between the two) with a generator narrower than 2\17edo, and a largely-unknown scale family with a wider generator.


{| class="wikitable"
== Intervals ==
|-
{{MOS intervals}}
! colspan="7" | Generator
! | Cents
!Remainder
! | Comments
|-
| | 1\9
| |
| |
| |
| |
| |
| |
| | 133.333
|133.333
| style="text-align:center;" | L/s = 1
|-
| |
| |
| |
| |
| |
| |
| | 8\71
| | 135.211
|118.310
| |
|-
| |
| |
| |
| |
| |
| | 7\62
| |
| | 135.484
|116.129
| |
|-
| |
| |
| |
| |
| |
| |
| | 13\115
| | 135.652
|114.783
| |
|-
| |
| |
| |
| |
| | 6\53
| |
| |
| | 135.849
|113.208
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 17\150
| | 136.000
|112.000
| |
|-
| |
| |
| |
| |
| |
| | 11\97
| |
| | 136.082
|111.340
| |
|-
| |
| |
| |
| |
| |
| |
| | 16\141
| | 136.170
|110.638
| |
|-
| |
| |
| |
| | 5\44
| |
| |
| |
| | 136.364
|109.091
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 19\167
| | 136.527
|107.784
| |
|-
| |
| |
| |
| |
| |
| | 14\123
| |
| | 136.585
|107.317
| |
|-
| |
| |
| |
| |
| |
| |
| | 23\202
| | 136.634
|106.931
| |
|-
| |
| |
| |
| |
| | 9\79
| |
| |
| | 136.709
|106.329
| |
|-
| |
| |
| |
| |
| |
| |
| | 22\193
| | 136.788
|105.699
| |
|-
| |
| |
| |
| |
| |
| | 13\114
| |
| | 136.842
|105.263
| |
|-
| |
| |
| |
| |
| |
| |
| | 17\149
| | 136.913
|104.698
| |
|-
| |
| |
| | 4\35
| |
| |
| |
| |
| | 137.143
|102.857
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 19\166
| | 137.349
|101.205
| |
|-
| |
| |
| |
| |
| |
| | 15\131
| |
| | 137.405
|100.763
| |
|-
| |
| |
| |
| |
| |
| |
| | 26\227
| | 137.445
|100.441
| |
|-
| |
| |
| |
| |
| | 11\96
| |
| |
| | 137.500
|100.000
| |
|-
| |
| |
| |
| |
| |
| |
| | 29\253
| | 137.549
|99.605
| |
|-
| |
| |
| |
| |
| |
| | 18\157
| |
| | 137.580
|99.363
| |
|-
| |
| |
| |
| |
| |
| |
| | 25\218
| | 134.615
|99.083
| |
|-
| |
| |
| |
| | 7\61
| |
| |
| |
| | 137.705
|98.361
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 24\209
| | 137.799
|97.608
| |
|-
| |
| |
| |
| |
| |
| | 17\148
| |
| | 137.838
|97.297
| |
|-
| |
| |
| |
| |
| |
| |
| | 27\235
| | 137.872
|97.021
| |
|-
| |
| |
| |
| |
| | 10\87
| |
| |
| | 137.931
|96.552
| |
|-
| |
| |
| |
| |
| |
| |
| | 23\200
| | 138.000
|96.000
| |
|-
| |
| |
| |
| |
| |
| | 13\113
| |
| | 138.053
|95.575
| |
|-
| |
| |
| |
| |
| |
| |
| | 16\139
| | 138.130
|94.964
| |
|-
| |
| | 3\26
| |
| |
| |
| |
| |
| | 138.462
|92.308
| style="text-align:center;" | L/s = 1.5
|-
| |
| |
| |
| |
| |
| |
| | 17\147
| | 138.776
|89.796
| |
|-
| |
| |
| |
| |
| |
| | 14\121
| |
| | 138.843
|89.256
| |
|-
| |
| |
| |
| |
| |
| |
| | 25\216
| | 138.889
|88.889
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 138.943
|88.454
| |
|-
| |
| |
| |
| |
| | 11\95
| |
| |
| | 138.947
|88,421
| |
|-
| |
| |
| |
| |
| |
| |
| | 30\259
| | 138.996
|88.031
| |
|-
| |
| |
| |
| |
| |
| | 19\164
| |
| | 139.024
|87.805
| |
|-
| |
| |
| |
| |
| |
| |
| | 27\233
| | 139.056
|87.554
| |
|-
| |
| |
| |
| | 8\69
| |
| |
| |
| | 139.130
|86.957
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 29\250
| | 139.200
|86.400
| |
|-
| |
| |
| |
| |
| |
| | 21\181
| |
| | 139.227
|86.188
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 139.242
|86.057
| |
|-
| |
| |
| |
| |
| |
| |
| | 34\293
| | 139.249
|86.007
| |
|-
| |
| |
| |
| |
| | 13\112
| |
| |
| | 139.286
|85.714
| |
|-
| |
| |
| |
| |
| |
| |
| | 31\267
| | 139.326
|85.393
| |
|-
| |
| |
| |
| |
| |
| | 18\155
| |
| | 139.355
|85.161
| |
|-
| |
| |
| |
| |
| |
| |
| | 23\198
| | 139.394
|84.848
| |
|-
| |
| |
| | 5\43
| |
| |
| |
| |
| | 139.535
|83.721
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 22\189
| | 139.683
|82.540
| |
|-
| |
| |
| |
| |
| |
| | 17\146
| |
| | 139.726
|82.192
| |
|-
| |
| |
| |
| |
| |
| |
| | 29\249
| | 139.759
|81.928
| |
|-
| |
| |
| |
| |
| | 12\103
| |
| |
| | 139.803
|81.553
| |
|-
| |
| |
| |
| |
| |
| |
| | 31\266
| | 139.850
|81.203
| |
|-
| |
| |
| |
| |
| |
| | 19\163
| |
| | 139.877
|80.982
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 139.903
|80.773
| |
|-
| |
| |
| |
| |
| |
| |
| | 26\223
| | 139.910
|80.717
| |
|-
| |
| |
| |
| | 7\60
| |
| |
| |
| | 140.000
|80.000
| style="text-align:center;" | Bleu is around here
|-
| |
| |
| |
| |
| |
| |
| | 23\197
| | 140.102
|79.188
| |
|-
| |
| |
| |
| |
| |
| | 16\137
| |
| | 140.146
|78.832
| |
|-
| |
| |
| |
| |
| |
| |
| | 25\214
| | 140.187
|78.505
| |
|-
| |
| |
| |
| |
| | 9\77
| |
| |
| | 140.260
|77.922
| | Tsaharuk is between here…
|-
| |
| |
| |
| |
| |
| |
| | 20\171
| | 140.351
|77.193
| |
|-
| |
| |
| |
| |
| |
| | 11\94
| |
| | 140.426
|76.595
| style="text-align:center;" | …and here


Quanic is between here…
== Modes ==
|-
{{MOS mode degrees}}
| |
| |
| |
| |
| |
| |
| | 13\111
| | 140.541
|75.676
| style="text-align:center;" | …and here
|-
| | 2\17
| |
| |
| |
| |
| |
| |
| | 141.176
|70.588
| style="text-align:center;" | L/s = 2
|-
| |
| |
| |
| |
| |
| |
| | 13\110
| | 141.818
|65.455
| |
|-
| |
| |
| |
| |
| |
| | 11\93
| |
| | 141.936
|64.516
| |
|-
| |
| |
| |
| |
| |
| |
| | 20\169
| | 142.012
|63.905
| |
|-
| |
| |
| |
| |
| | 9\76
| |
| |
| | 142.105
|63.158
| |
|-
| |
| |
| |
| |
| |
| |
| | 25\211
| | 142.180
|62.559
| |
|-
| |
| |
| |
| |
| |
| | 16\135
| |
| | 142.222
|62.222
| |
|-
| |
| |
| |
| |
| |
| |
| | 23\194
| | 142.268
|61.856
| |
|-
| |
| |
| |
| | 7\59
| |
| |
| |
| | 142.373
|61.017
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 26\219
| | 142.466
|60.273
| |
|-
| |
| |
| |
| |
| |
| | 19\160
| |
| | 142.500
|60.000
| |
|-
| |
| |
| |
| |
| |
| |
| | 31\261
| | 142.529
|59.770
| |
|-
| |
| |
| |
| |
| | 12\101
| |
| |
| | 142.574
|59.406
| |
|-
| |
| |
| |
| |
| |
| |
| | 29\244
| | 142.623
|59.016
| |
|-
| |
| |
| |
| |
| |
| | 17\143
| |
| | 142.657
|58.741
| |
|-
| |
| |
| |
| |
| |
| |
| | 22\185
| | 142.703
|58.378
| |
|-
| |
| |
| | 5\42
| |
| |
| |
| |
| | 142.857
|57.143
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 23\193
| | 143.005
|55.959
| |
|-
| |
| |
| |
| |
| |
| | 18\151
| |
| | 143.046
|55.629
| |
|-
| |
| |
| |
| |
| |
| |
| | 31\260
| | 143.077
|55.285
| |
|-
| |
| |
| |
| |
| | 13\109
| |
| |
| | 143.119
|55.045
| |
|-
| |
| |
| |
| |
| |
| |
| | 34\285
| | 143.158
|54.737
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 143.1645
|54.684
| |
|-
| |
| |
| |
| |
| |
| | 21\176
| |
| | 143.182
|54.545
| |
|-
| |
| |
| |
| |
| |
| |
| | 29\243
| | 143.210
|54.321
| |
|-
| |
| |
| |
| | 8\67
| |
| |
| |
| | 143.284
|53.731
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 27\226
| | 143.363
|53.097
| |
|-
| |
| |
| |
| |
| |
| | 19\159
| |
| | 143.396
|52.830
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 143.406
|52.756
| style="text-align:center;" | L/s = e
|-
| |
| |
| |
| |
| |
| |
| | 30\251
| | 143.426
|52.590
| |
|-
| |
| |
| |
| |
| | 11\92
| |
| |
| | 143.478
|52.174
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 25\209
| | 143.541
|51.675
| |
|-
| |
| |
| |
| |
| |
| | 14\117
| |
| | 143.590
|51.282
| |
|-
| |
| |
| |
| |
| |
| |
| | 17\142
| | 143.662
|50.704
| |
|-
| |
| | 3\25
| |
| |
| |
| |
| |
| | 144.000
|48.000
| style="text-align:center;" | L/s = 3
|-
| |
| |
| |
| |
| |
| |
| |
| | 144.260
|45.919
| style="text-align:center;" | L/s = pi
|-
| |
| |
| |
| |
| |
| |
| | 16\133
| | 144.361
|45.113
| |
|-
| |
| |
| |
| |
| |
| | 13\108
| |
| | 144.444
|44.444
| |
|-
| |
| |
| |
| |
| |
| |
| | 23\191
| | 144.503
|43.979
| |
|-
| |
| |
| |
| |
| | 10\83
| |
| |
| | 144.578
|43.373
| |
|-
| |
| |
| |
| |
| |
| |
| | 27\224
| | 144.643
|42.857
| |
|-
| |
| |
| |
| |
| |
| | 17\141
| |
| | 144.681
|42.553
| |
|-
| |
| |
| |
| |
| |
| |
| | 24\199
| | 144.724
|42.211
| |
|-
| |
| |
| |
| | 7\58
| |
| |
| |
| | 144.828
|41.379
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 25\207
| | 144.928
|40.580
| |
|-
| |
| |
| |
| |
| |
| | 18\149
| |
| | 144.966
|40.268
| |
|-
| |
| |
| |
| |
| |
| |
| | 29\240
| | 145.000
|40.000
| |
|-
| |
| |
| |
| |
| | 11\91
| |
| |
| | 145.055
|39.560
| |
|-
| |
| |
| |
| |
| |
| |
| | 26\215
| | 145.116
|39.070
| |
|-
| |
| |
| |
| |
| |
| | 15\124
| |
| | 145.161
|38.710
| |
|-
| |
| |
| |
| |
| |
| |
| | 19\157
| | 145.223
|38.217
| |
|-
| |
| |
| | 4\33
| |
| |
| |
| |
| | 145.455
|36.364
| style="text-align:center;" | L/s = 4
|-
|
|
|
|
|
|
|17\140
|145.714
|34.286
|
|-
| |
| |
| |
| |
| |
| | 13\107
| |
| | 145.794
|33.645
| |
|-
|
|
|
|
|
|
|22\181
|145.856
|33.149
|
|-
| |
| |
| |
| |
| | 9\74
| |
| |
| | 145.946
|32.432
| |
|-
|
|
|
|
|
|
|23\189
|146.031
|31.746
|
|-
| |
| |
| |
| |
| |
| | 14\115
| |
| | 146.087
|31.304
| |
|-
|
|
|
|
|
|
|19\156
|146.154
|30.769
|
|-
| |
| |
| |
| | 5\41
| |
| |
| |
| | 146.341
|29.268
| style="text-align:center;" | Bohpier is between here…
|-
| |
| |
| |
| |
| |
| |
| | 16\131
| | 146.565
|27.481
| |
|-
| |
| |
| |
| |
| |
| | 11\90
| |
| | 146.667
|26.667
| |
|-
| |
| |
| |
| |
| |
| |
| | 17\139
| | 146.763
|25.899
| |
|-
| |
| |
| |
| |
| | 6\49
| |
| |
| | 146.939
|24.490
| style="text-align:center;" | …and here
|-
| |
| |
| |
| |
| |
| |
| | 13\106
| | 147.170
|22.642
| |
|-
| |
| |
| |
| |
| |
| | 7\57
| |
| | 147.368
|21.052
| |
|-
| |
| |
| |
| |
| |
| |
| | 8\65
| | 147.692
|18.462
| |
|-
| | 1\8
| |
| |
| |
| |
| |
| |
| | 150.000
|0.000
| style="text-align:center;" |
|}


== Scale tree ==
{{MOS tuning spectrum
| 7/4 = [[Bleu]] is around here
| 9/5 = [[Tsaharuk]] and [[Quanic]] are around here
| 5/1 = [[Bohpier]] is around here
}}
{{todo|expand}}
[[Category:9-tone scales]]
[[Category:9-tone scales]]
[[Category:Gamelan]]
Retrieved from "https://en.xen.wiki/w/8L_1s"