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8L 1s: Difference between revisions

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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 [http://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.
{{Infobox MOS
| Name = subneutralic
| Periods = 1
| nLargeSteps = 8
| nSmallSteps = 1
| Equalized = 1
| Collapsed = 1
| Pattern = LLLLLLLLs
}}
{{MOS intro}}


{| class="wikitable"
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.
|-
! colspan="5" | Generator
! |
! |
! | Cents
! | Comments
|-
| | 1/9
| |
| |
| |
| |
| |
| |
| | 133.333
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 8/71
| | 135.211
| |
|-
| |
| |
| |
| |
| |
| | 7/62
| |
| | 135.484
| |
|-
| |
| |
| |
| |
| |
| |
| | 13/115
| | 135.652
| |
|-
| |
| |
| |
| |
| | 6/53
| |
| |
| | 135.849
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 17/150
| | 136
| |
|-
| |
| |
| |
| |
| |
| | 11/97
| |
| | 136.082
| |
|-
| |
| |
| |
| |
| |
| |
| | 16/141
| | 136.17
| |
|-
| |
| |
| |
| | 5/44
| |
| |
| |
| | 136.364
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 19/167
| | 136.527
| |
|-
| |
| |
| |
| |
| |
| | 14/123
| |
| | 136.585
| |
|-
| |
| |
| |
| |
| |
| |
| | 23/202
| | 136.634
| |
|-
| |
| |
| |
| |
| | 9/79
| |
| |
| | 136.709
| |
|-
| |
| |
| |
| |
| |
| |
| | 22/193
| | 136.788
| |
|-
| |
| |
| |
| |
| |
| | 13/114
| |
| | 136.842
| |
|-
| |
| |
| |
| |
| |
| |
| | 17/149
| | 136.913
| |
|-
| |
| |
| | 4/35
| |
| |
| |
| |
| | 137.143
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 19/166
| | 137.349
| |
|-
| |
| |
| |
| |
| |
| | 15/131
| |
| | 137.4045
| |
|-
| |
| |
| |
| |
| |
| |
| | 26/227
| | 137.445
| |
|-
| |
| |
| |
| |
| | 11/96
| |
| |
| | 137.5
| |
|-
| |
| |
| |
| |
| |
| |
| | 29/253
| | 137.549
| |
|-
| |
| |
| |
| |
| |
| | 18/157
| |
| | 137.58
| |
|-
| |
| |
| |
| |
| |
| |
| | 25/218
| | 134.615
| |
|-
| |
| |
| |
| | 7/61
| |
| |
| |
| | 137.705
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 24/209
| | 137.799
| |
|-
| |
| |
| |
| |
| |
| | 17/148
| |
| | 137.838
| |
|-
| |
| |
| |
| |
| |
| |
| | 27/235
| | 137.872
| |
|-
| |
| |
| |
| |
| | 10/87
| |
| |
| | 137.931
| |
|-
| |
| |
| |
| |
| |
| |
| | 23/200
| | 138
| |
|-
| |
| |
| |
| |
| |
| | 13/113
| |
| | 138.053
| |
|-
| |
| |
| |
| |
| |
| |
| | 16/139
| | 138.1295
| |
|-
| |
| | 3/26
| |
| |
| |
| |
| |
| | 138.462
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 17/147
| | 138.7755
| |
|-
| |
| |
| |
| |
| |
| | 14/121
| |
| | 138.843
| |
|-
| |
| |
| |
| |
| |
| |
| | 25/216
| | 138.889
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 138.943
| |
|-
| |
| |
| |
| |
| | 11/95
| |
| |
| | 138.947
| |
|-
| |
| |
| |
| |
| |
| |
| | 30/259
| | 138.996
| |
|-
| |
| |
| |
| |
| |
| | 19/164
| |
| | 139.024
| |
|-
| |
| |
| |
| |
| |
| |
| | 27/233
| | 139.056
| |
|-
| |
| |
| |
| | 8/69
| |
| |
| |
| | 139.130
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 29/250
| | 139.2
| |
|-
| |
| |
| |
| |
| |
| | 21/181
| |
| | 139.2265
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 139.242
| |
|-
| |
| |
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| |
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| | 34/249
| | 139.249
| |
|-
| |
| |
| |
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| | 13/112
| |
| |
| | 139.286
| |
|-
| |
| |
| |
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| |
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| | 31/267
| | 139.326
| |
|-
| |
| |
| |
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| |
| | 18/155
| |
| | 139.355
| |
|-
| |
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| |
| |
| |
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| | 23/198
| | 139.394
| |
|-
| |
| |
| | 5/43
| |
| |
| |
| |
| | 139.535
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 22/189
| | 139.6825
| |
|-
| |
| |
| |
| |
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| | 17/146
| |
| | 139.726
| |
|-
| |
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| |
| |
| |
| |
| | 29/249
| | 139.759
| |
|-
| |
| |
| |
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| | 12/103
| |
| |
| | 139.803
| |
|-
| |
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| |
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| |
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| | 31/266
| | 139.85
| |
|-
| |
| |
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| |
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| | 19/163
| |
| | 139.877
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 139.903
| |
|-
| |
| |
| |
| |
| |
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| | 26/223
| | 139.91
| |
|-
| |
| |
| |
| | 7/60
| |
| |
| |
| | 140
| style="text-align:center;" | Bleu is around here
|-
| |
| |
| |
| |
| |
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| | 23/197
| | 140.1015
| |
|-
| |
| |
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| |
| |
| | 16/137
| |
| | 140.146
| |
|-
| |
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| |
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| |
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| | 25/214
| | 140.187
| |
|-
| |
| |
| |
| |
| | 9/77
| |
| |
| | 140.26
| | Tsaharuk is between here…
|-
| |
| |
| |
| |
| |
| |
| | 20/171
| | 140.351
| |
|-
| |
| |
| |
| |
| |
| | 11/94
| |
| | 140.4255
| style="text-align:center;" | …and here


Quanic is between here…
== Intervals ==
|-
{{MOS intervals}}
| |
 
| |
== Modes ==
| |
{{MOS mode degrees}}
| |
 
| |
== Scale tree ==
| |
{{MOS tuning spectrum
| | 13/111
| 7/4 = [[Bleu]] is around here
| | 140.5405
| 9/5 = [[Tsaharuk]] and [[Quanic]] are around here
| style="text-align:center;" | …and here
| 5/1 = [[Bohpier]] is around here
|-
}}
| | 2/17
 
| |
{{todo|expand}}
| |
[[Category:9-tone scales]]
| |
[[Category:Gamelan]]
| |
| |
| |
| | 141.176
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 13/110
| | 141.818
| |
|-
| |
| |
| |
| |
| |
| | 11/93
| |
| | 141.9355
| |
|-
| |
| |
| |
| |
| |
| |
| | 20/169
| | 142.012
| |
|-
| |
| |
| |
| |
| | 9/76
| |
| |
| | 142.105
| |
|-
| |
| |
| |
| |
| |
| |
| | 25/211
| | 142.18
| |
|-
| |
| |
| |
| |
| |
| | 16/135
| |
| | 142.222
| |
|-
| |
| |
| |
| |
| |
| |
| | 23/194
| | 142.268
| |
|-
| |
| |
| |
| | 7/59
| |
| |
| |
| | 142.373
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 26/219
| | 142.466
| |
|-
| |
| |
| |
| |
| |
| | 19/160
| |
| | 142.5
| |
|-
| |
| |
| |
| |
| |
| |
| | 31/261
| | 142.529
| |
|-
| |
| |
| |
| |
| | 12/101
| |
| |
| | 142.574
| |
|-
| |
| |
| |
| |
| |
| |
| | 29/244
| | 142.623
| |
|-
| |
| |
| |
| |
| |
| | 17/143
| |
| | 142.657
| |
|-
| |
| |
| |
| |
| |
| |
| | 22/185
| | 142.703
| |
|-
| |
| |
| | 5/42
| |
| |
| |
| |
| | 142.857
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 23/193
| | 143.005
| |
|-
| |
| |
| |
| |
| |
| | 18/151
| |
| | 143.046
| |
|-
| |
| |
| |
| |
| |
| |
| | 31/260
| | 143.077
| |
|-
| |
| |
| |
| |
| | 13/109
| |
| |
| | 143.119
| |
|-
| |
| |
| |
| |
| |
| |
| | 34/285
| | 143.158
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 143.1645
| |
|-
| |
| |
| |
| |
| |
| | 21/176
| |
| | 143.182
| |
|-
| |
| |
| |
| |
| |
| |
| | 29/243
| | 143.21
| |
|-
| |
| |
| |
| | 8/67
| |
| |
| |
| | 143.284
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 27/226
| | 143.363
| |
|-
| |
| |
| |
| |
| |
| | 19/159
| |
| | 143.396
| |
|-
| |
| |
| |
| |
| |
| |
| |
| | 143.4055
| style="text-align:center;" | L/s = e
|-
| |
| |
| |
| |
| |
| |
| | 30/251
| | 143.426
| |
|-
| |
| |
| |
| |
| | 11/92
| |
| |
| | 143.478
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 25/209
| | 143.541
| |
|-
| |
| |
| |
| |
| |
| | 14/117
| |
| | 143.59
| |
|-
| |
| |
| |
| |
| |
| |
| | 17/142
| | 143.662
| |
|-
| |
| | 3/25
| |
| |
| |
| |
| |
| | 144
| style="text-align:center;" | L/s = 3
|-
| |
| |
| |
| |
| |
| |
| |
| | 144.26
| style="text-align:center;" | L/s = pi
|-
| |
| |
| |
| |
| |
| |
| | 16/133
| | 144.361
| |
|-
| |
| |
| |
| |
| |
| | 13/108
| |
| | 144.444
| |
|-
| |
| |
| |
| |
| |
| |
| | 23/191
| | 144.503
| |
|-
| |
| |
| |
| |
| | 10/83
| |
| |
| | 144.578
| |
|-
| |
| |
| |
| |
| |
| |
| | 27/224
| | 144.643
| |
|-
| |
| |
| |
| |
| |
| | 17/141
| |
| | 144.681
| |
|-
| |
| |
| |
| |
| |
| |
| | 24/199
| | 144.724
| |
|-
| |
| |
| |
| | 7/58
| |
| |
| |
| | 144.828
| style="text-align:center;" |
|-
| |
| |
| |
| |
| |
| |
| | 25/207
| | 144.9275
| |
|-
| |
| |
| |
| |
| |
| | 18/149
| |
| | 144.966
| |
|-
| |
| |
| |
| |
| |
| |
| | 29/240
| | 145
| |
|-
| |
| |
| |
| |
| | 11/91
| |
| |
| | 145.055
| |
|-
| |
| |
| |
| |
| |
| |
| | 26/215
| | 145.116
| |
|-
| |
| |
| |
| |
| |
| | 15/124
| |
| | 145.161
| |
|-
| |
| |
| |
| |
| |
| |
| | 19/157
| | 145.223
| |
|-
| |
| |
| | 4/33
| |
| |
| |
| |
| | 145.4545
| style="text-align:center;" | L/s = 4
|-
| |
| |
| |
| |
| |
| |
| | 13/107
| | 145.794
| |
|-
| |
| |
| |
| |
| |
| | 9/74
| |
| | 145.946
| |
|-
| |
| |
| |
| |
| |
| |
| | 14/115
| | 146.087
| |
|-
| |
| |
| |
| | 5/41
| |
| |
| |
| | 146.341
| style="text-align:center;" | Bohpier is between here…
|-
| |
| |
| |
| |
| |
| |
| | 16/131
| | 146.565
| |
|-
| |
| |
| |
| |
| |
| | 11/90
| |
| | 146.667
| |
|-
| |
| |
| |
| |
| |
| |
| | 17/139
| | 146.763
| |
|-
| |
| |
| |
| |
| | 6/49
| |
| |
| | 146.939
| style="text-align:center;" | …and here
|-
| |
| |
| |
| |
| |
| |
| | 13/106
| | 147.17
| |
|-
| |
| |
| |
| |
| |
| | 7/57
| |
| | 147.368
| |
|-
| |
| |
| |
| |
| |
| |
| | 8/65
| | 147.692
| |
|-
| | 1/8
| |
| |
| |
| |
| |
| |
| | 150
| style="text-align:center;" |
|}
[[Category:todo:correct_notation]]
[[Category:todo:unify_precision]]
Retrieved from "https://en.xen.wiki/w/8L_1s"