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
|-
|-
|
|
Line 233: Line 245:
|
|
|
|
|6/75
| 6/75
|
|
|96
| 96
|-
|-
|
|
Line 243: Line 255:
|
|
|
|
|7/87
| 7/87
|96.552
| 96.552
|-
|-
| | 1/12
| 1/12
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 100
| 100
|}
|}

Revision as of 03:38, 17 August 2022

↖ 11L 2s ↑ 12L 2s 13L 2s ↗
← 11L 3s 12L 3s 13L 3s →
↙ 11L 4s ↓ 12L 4s 13L 4s ↘ 
┌╥╥╥╥┬╥╥╥╥┬╥╥╥╥┬┐
│║║║║│║║║║│║║║║││
│││││││││││││││││
└┴┴┴┴┴┴┴┴┴┴┴┴┴┴┴┘
Scale structure
Step pattern LLLLsLLLLsLLLLs
sLLLLsLLLLsLLLL
Equave 2/1 (1200.0 ¢)
Period 1\3 (400.0 ¢)
Generator size
Bright 1\15 to 1\12 (80.0 ¢ to 100.0 ¢)
Dark 3\12 to 4\15 (300.0 ¢ to 320.0 ¢)
TAMNAMS information
Related to 3L 6s (tcherepnin)
With tunings 2:1 to 3:1 (hypohard)
Related MOS scales
Parent 3L 9s
Sister 3L 12s
Daughters 15L 12s, 12L 15s
Neutralized 9L 6s
2-Flought 27L 3s, 12L 18s
Equal tunings
Equalized (L:s = 1:1) 1\15 (80.0 ¢)
Supersoft (L:s = 4:3) 4\57 (84.2 ¢)
Soft (L:s = 3:2) 3\42 (85.7 ¢)
Semisoft (L:s = 5:3) 5\69 (87.0 ¢)
Basic (L:s = 2:1) 2\27 (88.9 ¢)
Semihard (L:s = 5:2) 5\66 (90.9 ¢)
Hard (L:s = 3:1) 3\39 (92.3 ¢)
Superhard (L:s = 4:1) 4\51 (94.1 ¢)
Collapsed (L:s = 1:0) 1\12 (100.0 ¢)

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 ¢) and 1\12edo (100 ¢). Having three periods of 4L 1s, it may be more specifically referred to as the Ternary mode of Augene[15].

Scale tree

1/15 80
7\102 82.353
6\87 82.759
5/72 83.333
4/57 84.2105
7/99 84.8485
3/42 85.714
86.27
8/111 86.4865
86.617
5/69 86.9565
7/96 87.5
2/27 88.889
11/147 89.796
9/120 90
7/93 90.323
5/66 90.909
91.283
8/105 91.429
91.578
3/39 92.308
92.629
7/90 93.333
4/51 94.118
5/63 95.238
6/75 96
7/87 96.552
1/12 100
Retrieved from "https://en.xen.wiki/index.php?title=12L_3s&oldid=94483"