11L 1s: Difference between revisions

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| Pattern = LLLLLLLLLLLs
| Pattern = LLLLLLLLLLLs
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The '''11L 1s''' [[MOS scale]], with its diatonic minor second generator, is the dodecatonic scale of [[ripple]] (9:8 = +2 generators) and [[passion]] (6:5 = +3 generators) temperaments. However, it feels markedly more hendecatonic to listeners used to the equally divided chromatic scale because of its unbroken chain of eleven equal steps–never mind that the 12th degree is actually less than the octave. This hendecatonic feel is especially pronounced above 2/23edo, where the octave feels like a comma shift of the 12th degree rather than an independent note.
The '''11L 1s''' [[MOS scale]], with its diatonic minor second generator, is the dodecatonic scale of [[ripple]] (9:8 = +2 generators) and [[passion]] (6:5 = +3 generators) temperaments. However, it feels markedly more hendecatonic to listeners used to the equally divided chromatic scale because of its unbroken chain of eleven equal steps–never mind that the 12th degree is actually less than the octave. This hendecatonic feel is especially pronounced above 2\23, where the octave feels like a comma shift of the 12th degree rather than an independent note.


== Scale tree ==
== Scale tree ==
Line 17: Line 17:
! 2g
! 2g
! 3g
! 3g
! Comments
|-
|-
| 1/12
| 1\12
|  
|  
| 100
| 100
| 200
| 200
| 300
| 300
| Ripple
|-
|-
| 5/59
| 5\59
|  
|  
| 101.695
| 101.695
| 203.39
| 203.39
| 305.085
| 305.085
|
|-
|-
|  
|  
| 9/106
| 9\106
| 101.887
| 101.887
| 203.774
| 203.774
| 305.66
| 305.66
|
|-
|-
|  
|  
| 13/153
| 13\153
| 101.961
| 101.961
| 203.922
| 203.922
| 305.882
| 305.882
|
|-
|-
|  
|  
| 17/200
| 17\200
| 102
| 102
| 204
| 204
| 306
| 306
|
|-
|-
| 4/47
| 4\47
|  
|  
| 102.128
| 102.128
| 204.255
| 204.255
| 306.383
| 306.383
|
|-
|-
|  
|  
| 7/82
| 7\82
| 102.439
| 102.439
| 204.878
| 204.878
| 307.317
| 307.317
|
|-
|-
|  
|  
| 10/117
| 10\117
| 102.564
| 102.564
| 205.128
| 205.128
| 307.692
| 307.692
|
|-
|-
|  
|  
| 13/152
| 13\152
| 102.632
| 102.632
| 205.263
| 205.263
| 307.895
| 307.895
|
|-
|-
|  
|  
| 16/187
| 16\187
| 102.674
| 102.674
| 205.348
| 205.348
| 308.021
| 308.021
|
|-
|-
|  
|  
| 19/222
| 19\222
| 102.838
| 102.838
| 205.676
| 205.676
| 308.5135
| 308.5135
|
|-
|-
| 3/35
| 3\35
|  
|  
| 102.857
| 102.857
| 205.714
| 205.714
| 308.571
| 308.571
|
|-
|-
|  
|  
| 20/233
| 20\233
| 103.004
| 103.004
| 206.009
| 206.009
| 309.013
| 309.013
|
|-
|-
|  
|  
| 17/198
| 17\198
| 103.03
| 103.03
| 206.061
| 206.061
| 309.091
| 309.091
|
|-
|-
|  
|  
| 14/163
| 14\163
| 103.0675
| 103.0675
| 206.135
| 206.135
| 309.2025
| 309.2025
|
|-
|-
|  
|  
Line 113: Line 129:
| 206.2455
| 206.2455
| 309.368
| 309.368
|
|-
|-
|  
|  
| 11/128
| 11\128
| 103.125
| 103.125
| 206.25
| 206.25
| 309.375
| 309.375
|
|-
|-
|  
|  
| 8/93
| 8\93
| 103.226
| 103.226
| 206.452
| 206.452
| 309.677
| 309.677
|
|-
|-
|  
|  
Line 131: Line 150:
| 206.575
| 206.575
| 309.863
| 309.863
|
|-
|-
|  
|  
| 5/58
| 5\58
| 103.448
| 103.448
| 206.897
| 206.897
| 310.345
| 310.345
|
|-
|-
|  
|  
Line 143: Line 164:
| 207.301
| 207.301
| 310.952
| 310.952
|
|-
|-
|  
|  
| 7/81
| 7\81
| 103.703
| 103.703
| 207.407
| 207.407
| 311.111
| 311.111
|
|-
|-
|  
|  
| 9/104
| 9\104
| 103.846
| 103.846
| 207.692
| 207.692
| 311.5385
| 311.5385
|
|-
|-
|  
|  
| 11/127
| 11\127
| 103.937
| 103.937
| 207.874
| 207.874
| 311.811
| 311.811
|
|-
|-
|  
|  
| 13/150
| 13\150
| 104
| 104
| 208
| 208
| 312
| 312
|
|-
|-
| 2/23
| 2\23
|  
|  
| 104.348
| 104.348
| 208.969
| 208.969
| 313.0435
| 313.0435
| Ripple
|-
|-
|  
|  
| 11/126
| 11\126
| 104.762
| 104.762
| 209.524
| 209.524
| 314.286
| 314.286
|
|-
|-
|  
|  
| 9/103
| 9\103
| 104.854
| 104.854
| 209.709
| 209.709
| 314.563
| 314.563
|
|-
|-
|  
|  
| 7/80
| 7\80
| 105
| 105
| 210
| 210
| 315
| 315
|
|-
|-
|  
|  
| 5/57
| 5\57
| 105.263
| 105.263
| 210.526
| 210.526
| 315.7895
| 315.7895
|
|-
|-
|  
|  
Line 203: Line 234:
| 210.86
| 210.86
| 316.29
| 316.29
|
|-
|-
|  
|  
| 8/91
| 8\91
| 105.4945
| 105.4945
| 210.989
| 210.989
| 316.4835
| 316.4835
|
|-
|-
|  
|  
Line 215: Line 248:
| 211.121
| 211.121
| 316.682
| 316.682
|
|-
|-
|  
|  
| 11/125
| 11\125
| 105.6
| 105.6
| 211.2
| 211.2
| 316.8
| 316.8
|
|-
|-
| 3/34
| 3\34
|  
|  
| 105.822
| 105.822
| 211.765
| 211.765
| 317.647
| 317.647
|
|-
|-
|  
|  
| 28/317
| 28\317
| 105.994
| 105.994
| 211.987
| 211.987
| 317.981
| 317.981
|
|-
|-
|  
|  
| 25/283
| 25\283
| 106.007
| 106.007
| 212.014
| 212.014
| 318.021
| 318.021
|
|-
|-
|  
|  
Line 245: Line 283:
| 212.046
| 212.046
| 318.069
| 318.069
|
|-
|-
|  
|  
| 22/249
| 22\249
| 106.024
| 106.024
| 212.048
| 212.048
| 318.072
| 318.072
|
|-
|-
|  
|  
| 19/215
| 19\215
| 106.0465
| 106.0465
| 212.093
| 212.093
| 318.1395
| 318.1395
|
|-
|-
|  
|  
| 16/181
| 16\181
| 106.077
| 106.077
| 212.155
| 212.155
| 318.232
| 318.232
|
|-
|-
|  
|  
| 13/147
| 13\147
| 106.122
| 106.122
| 212.245
| 212.245
| 318.367
| 318.367
|
|-
|-
|  
|  
| 10/113
| 10\113
| 106.195
| 106.195
| 212.389
| 212.389
| 318.581
| 318.581
|
|-
|-
|  
|  
| 7/79
| 7\79
| 106.329
| 106.329
| 212.658
| 212.658
| 318.987
| 318.987
|
|-
|-
|  
|  
| 11/124
| 11\124
| 106.452
| 106.452
| 212.903
| 212.903
| 319.355
| 319.355
|
|-
|-
| 4/45
| 4\45
|  
|  
| 106.667
| 106.667
| 213.333
| 213.333
| 320
| 320
|
|-
|-
| 5/56
| 5\56
|  
|  
| 107.143
| 107.143
| 214.286
| 214.286
| 321.429
| 321.429
|
|-
|-
| 1/11
| 1\11
|  
|  
| 109.091
| 109.091
| 218.182
| 218.182
| 327.273
| 327.273
|
|}
|}