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12L 3s: Difference between revisions

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This is an Augene MOS which is generated by a neutral semitone (1/15edo to 1/12edo, 80 to 100 cents). Having three periods of 4L 1s, it may be more specifically referred to as the Ternary mode of Augene[15].
{{Infobox MOS
| Other names =
| Periods = 3
| nLargeSteps = 12
| nSmallSteps = 3
| Equalized = 1
| Paucitonic = 1
| Pattern = LLLLsLLLLsLLLLs
}}
The '''12L 3s''' (or '''4L 1s<1\3>''') [[MOS scale]] contains three [[4L 1s]] patterns per octave.


This is an [[augene]] MOS which is generated by a neutral semitone between 1\15 (80{{cent}}) and 1\12edo (100{{cent}}). Having three periods of 4L 1s, it may be more specifically referred to as the Ternary mode of Augene[15].
== Scale tree ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 1/15
| 1/15
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 80
| 80
|-
|-
|
|
Line 18: Line 30:
|
|
|
|
|7\102
| 7\102
|82.353
| 82.353
|-
|-
|
|
Line 26: Line 38:
|
|
|
|
|6\87
| 6\87
|
|
|82.759
| 82.759
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 5/72
| 5/72
| |  
|  
| |  
|  
| | 83.333
| 83.333
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 4/57
| 4/57
| |  
|  
| |  
|  
| |  
|  
| | 84.2105
| 84.2105
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7/99
| 7/99
| |  
|  
| |  
|  
| | 84.8485
| 84.8485
|-
|-
| |  
|  
| |  
|  
| | 3/42
| 3/42
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 85.714
| 85.714
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 86.27
| 86.27
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 8/111
| 8/111
| |  
|  
| |  
|  
| | 86.4865
| 86.4865
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 86.617
| 86.617
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 5/69
| 5/69
| |  
|  
| |  
|  
| |  
|  
| | 86.9565
| 86.9565
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7/96
| 7/96
| |  
|  
| |  
|  
| | 87.5
| 87.5
|-
|-
| |  
|  
| | 2/27
| 2/27
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 88.889
| 88.889
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11/147
| 11/147
| | 89.796
| 89.796
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 9/120
| 9/120
| |  
|  
| | 90
| 90
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7/93
| 7/93
| |  
|  
| |  
|  
| | 90.323
| 90.323
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 5/66
| 5/66
| |  
|  
| |  
|  
| |  
|  
| | 90.909
| 90.909
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 91.283
| 91.283
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 8/105
| 8/105
| |  
|  
| |  
|  
| | 91.429
| 91.429
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 91.578
| 91.578
|-
|-
| |  
|  
| |  
|  
| | 3/39
| 3/39
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 92.308
| 92.308
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 92.629
| 92.629
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 7/90
| 7/90
| |  
|  
| |  
|  
| | 93.333
| 93.333
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 4/51
| 4/51
| |  
|  
| |  
|  
| |  
|  
| | 94.118
| 94.118
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 5/63
| 5/63
| |  
|  
| |  
|  
| | 95.238
| 95.238
|-
|-
|
|
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|
|
|
|
|6/75
| 6/75
|
|
|96
| 96
|-
|-
|
|
Line 243: Line 255:
|
|
|
|
|7/87
| 7/87
|96.552
| 96.552
|-
|-
| | 1/12
| 1/12
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 100
| 100
|}
|}
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