12L 10s: Difference between revisions

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This is the MOS where the pattern 6L 5s repeats at the half octave. It is the quartertone scale of Diaschismic temperament and its generator is a diatonic semitone no larger than 2/22edo~1/11edo (109.091 cents), making 5/4 one period minus two generators,
{{Infobox MOS
| Other names =
| Periods = 2
| nLargeSteps = 12
| nSmallSteps = 10
| Equalized = 2
| Paucitonic = 1
| Pattern = LLsLsLsLsLsLLsLsLsLsLs
}}
The '''12L 10s''' (or '''6L 5s<1\2>''') [[MOS scale]] contains two [[6L 5s]] patterns per octave.


It is the quartertone scale of [[diaschismic]] temperament and its generator is a diatonic semitone no larger than 1\11 (109.091{{cent}}), making 5/4 one period minus two generators,
== Scale tree ==
{| class="wikitable"
{| class="wikitable"
|-
|-
| | 2/22
| 2/22
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 109.091
| 109.091
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 9/100
| 9/100
| | 108
| 108
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 7/78
| 7/78
| |  
|  
| | 107.692
| 107.692
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 12/134
| 12/134
| | 107.463
| 107.463
|-
|-
| |  
|  
| |  
|  
| | 5/56
| 5/56
| |  
|  
| |  
|  
| | 107.143
| 107.143
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 106.9325
| 106.9325
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 13/146
| 13/146
| | 106.849
| 106.849
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 106.799
| 106.799
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 8/90
| 8/90
| |  
|  
| | 106.667
| 106.667
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 106.497
| 106.497
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11/124
| 11/124
| | 106.452
| 106.452
|-
|-
| |  
|  
| | 3/34
| 3/34
| |  
|  
| |  
|  
| |  
|  
| | 105.882
| 105.882
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 10/114
| 10/114
| | 105.263
| 105.263
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 7/80
| 7/80
| |  
|  
| | 105
| 105
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 104.829
| 104.829
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 11/126
| 11/126
| | 104.762
| 104.762
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 104.693
| 104.693
|-
|-
| |  
|  
| |  
|  
| | 4/46
| 4/46
| |  
|  
| |  
|  
| | 104.348
| 104.348
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 104.193
| 104.193
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 9/104
| 9/104
| | 103.846
| 103.846
|-
|-
| |  
|  
| |  
|  
| |  
|  
| | 5/58
| 5/58
| |  
|  
| | 103.448
| 103.448
|-
|-
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 6/70
| 6/70
| | 102.857
| 102.857
|-
|-
| | 1/12
| 1/12
| |  
|  
| |  
|  
| |  
|  
| |  
|  
| | 100
| 100
|}
|}

Revision as of 04:10, 16 August 2022

↖ 11L 9s ↑ 12L 9s 13L 9s ↗
← 11L 10s 12L 10s 13L 10s →
↙ 11L 11s ↓ 12L 11s 13L 11s ↘
Scale structure
Step pattern LLsLsLsLsLsLLsLsLsLsLs
sLsLsLsLsLLsLsLsLsLsLL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 9\22 to 5\12 (490.9 ¢ to 500.0 ¢)
Dark 1\12 to 2\22 (100.0 ¢ to 109.1 ¢)
TAMNAMS information
Related to 2L 8s (jaric)
With tunings 3:2 to 2:1 (hyposoft)
Related MOS scales
Parent 10L 2s
Sister 10L 12s
Daughters 22L 12s, 12L 22s
Neutralized 2L 20s
2-Flought 34L 10s, 12L 32s
Equal tunings
Equalized (L:s = 1:1) 9\22 (490.9 ¢)
Supersoft (L:s = 4:3) 32\78 (492.3 ¢)
Soft (L:s = 3:2) 23\56 (492.9 ¢)
Semisoft (L:s = 5:3) 37\90 (493.3 ¢)
Basic (L:s = 2:1) 14\34 (494.1 ¢)
Semihard (L:s = 5:2) 33\80 (495.0 ¢)
Hard (L:s = 3:1) 19\46 (495.7 ¢)
Superhard (L:s = 4:1) 24\58 (496.6 ¢)
Collapsed (L:s = 1:0) 5\12 (500.0 ¢)
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The 12L 10s (or 6L 5s<1\2>) MOS scale contains two 6L 5s patterns per octave.

It is the quartertone scale of diaschismic temperament and its generator is a diatonic semitone no larger than 1\11 (109.091 ¢), making 5/4 one period minus two generators,

Scale tree

2/22 109.091
9/100 108
7/78 107.692
12/134 107.463
5/56 107.143
106.9325
13/146 106.849
106.799
8/90 106.667
106.497
11/124 106.452
3/34 105.882
10/114 105.263
7/80 105
104.829
11/126 104.762
104.693
4/46 104.348
104.193
9/104 103.846
5/58 103.448
6/70 102.857
1/12 100
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