12L 10s: Difference between revisions

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{{MOS intro}}
{{MOS intro}}
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,
This scale is the quartertone scale of [[diaschismic]] temperament with dark generators above 100¢ (around the upper range of a [[diatonic semitone]]). This maps [[5/4]] (386¢) to one period (600¢) minus two dark generators.


== Modes ==
== Modes ==
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== Scale tree ==
== Scale tree ==
{| class="wikitable"
{{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
|}

Revision as of 19:54, 29 February 2024

↖ 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 ¢)

12L 10s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 12 large steps and 10 small steps, with a period of 6 large steps and 5 small steps that repeats every 600.0 ¢, or twice every octave. 12L 10s is a grandchild scale of 2L 8s, expanding it by 12 tones. Generators that produce this scale range from 490.9 ¢ to 500 ¢, or from 100 ¢ to 109.1 ¢. This scale is the quartertone scale of diaschismic temperament with dark generators above 100¢ (around the upper range of a diatonic semitone). This maps 5/4 (386¢) to one period (600¢) minus two dark generators.

Modes

Modes of 12L 10s
UDP Cyclic
order
Step
pattern
20|0(2) 1 LLsLsLsLsLsLLsLsLsLsLs
18|2(2) 10 LsLLsLsLsLsLsLLsLsLsLs
16|4(2) 8 LsLsLLsLsLsLsLsLLsLsLs
14|6(2) 6 LsLsLsLLsLsLsLsLsLLsLs
12|8(2) 4 LsLsLsLsLLsLsLsLsLsLLs
10|10(2) 2 LsLsLsLsLsLLsLsLsLsLsL
8|12(2) 11 sLLsLsLsLsLsLLsLsLsLsL
6|14(2) 9 sLsLLsLsLsLsLsLLsLsLsL
4|16(2) 7 sLsLsLLsLsLsLsLsLLsLsL
2|18(2) 5 sLsLsLsLLsLsLsLsLsLLsL
0|20(2) 3 sLsLsLsLsLLsLsLsLsLsLL

Scale tree

Template:Scale tree