2L 12s: Difference between revisions

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{{Todo|review|inline=1|text=Adopt scale tree template, review entries}}{{Infobox MOS}}
{{Infobox MOS}}
{{MOS intro}}
{{MOS intro}}
== Modes ==
== Modes ==
{{MOS modes}}
{{MOS modes}}
== Tuning spectrum ==
== Tuning spectrum ==
Bipelog range.
Bipelog range.
 
{{Scale tree}}
{| class="wikitable"
! colspan="7" | generator
! | L
! | s
! | L/s
! | gen (cents)
! | comment
|-
| | 0\2
| |
| |
| |
| |
| |
|
| | 1
| | 0
| |
| | 0.000
| |
|-
| |
| |
| |
| |
| |
| |
|1\26
| | 7
| | 1
| | 7.000
| | 46.154
| |
|-
| |
| |
| |
| |
| |
| |1\24
|
| | 6
| | 1
| | 6.000
| | 50.000
| |
|-
| |
| |
| |
| |
| |
| |
|2\46
| | 11
| | 2
| | 5.500
| | 52.174
| |
|-
| |
| |
| |
| |
| | 1\22
| |
|
| | 5
| | 1
| | 5.000
| | 54.545
| |
|-
| |
| |
| |
| |
| |
| |
|3\64
| | 14
| | 3
| | 4.667
| | 56.250
| |
|-
| |
| |
| |
| |
| |
| |2\42
|
| | 9
| | 2
| | 4.500
| | 57.143
| |
|-
| |
| |
| |
| |
| |
| |
|3\62
| | 13
| | 3
| | 4.333
| | 58.065
| |
|-
| |
| |
| |
| | 1\20
| |
| |
|
| | 4
| | 1
| | 4.000
| | 60.000
| |
|-
| |
| |
| |
| |
| |
| |
|4\78
| | 15
| | 4
| | 3.750
| | 61.538
| |
|-
| |
| |
| |
| |
| |
| |3\58
|
| | 11
| | 3
| | 3.667
| | 62.069
| |
|-
| |
| |
| |
| |
| |
| |
|5\96
| | 18
| | 5
| | 3.600
| | 62.500
| |
|-
| |
| |
| |
| |
| | 2\38
| |
|
| | 7
| | 2
| | 3.500
| | 63.158
| |
|-
| |
| |
| |
| |
| |
| |
|5\94
| | 17
| | 5
| | 3.400
| | 63.830
| |
|-
| |
| |
| |
| |
| |
| |3\56
|
| | 10
| | 3
| | 3.333
| | 64.286
| |
|-
| |
| |
| |
| |
| |
| |
|4\74
| | 13
| | 4
| | 3.250
| | 64.865
| |
|-
| |
| |
| | 1\18
| |
| |
| |
|
| | 3
| | 1
| | 3.000
| | 66.667
| |
|-
| |
| |
| |
| |
| |
| |
|5\88
| | 14
| | 5
| | 2.800
| | 68.182
| |
|-
| |
| |
| |
| |
| |
| |4\70
|
| | 11
| | 4
| | 2.750
| | 68.571
| |
|-
| |
| |
| |
| |
| | 3\52
| |
|
| | 8
| | 3
| | 2.667
| | 69.231
| |
|-
| |
| |
| |
| |
| |
| |5\86
|
| | 13
| | 5
| | 2.600
| | 69.767
| |
|-
| |
| |
| |
| | 2\34
| |
| |
|
| | 5
| | 2
| | 2.500
| | 70.588
| |
|-
| |
| |
| |
| |
| |
| |5\84
|
| | 12
| | 5
| | 2.400
| | 71.429
| |
|-
| |
| |
| |
| |
| | 3\50
| |
|
| | 7
| | 3
| | 2.333
| | 72.000
| |
|-
| |
| |
| |
| |
| |
| |4\66
|
| | 9
| | 4
| | 2.250
| | 72.727
| |
|-
| |
| |
| |
| |
| |
| |
|5\82
| | 11
| | 5
| | 2.200
| | 73.171
| |
|-
| |
| | 1\16
| |
| |
| |
| |
|
| | 2
| | 1
| | 2.000
| | 75.000
| |
|-
| |
| |
| |
| |
| |
| |
|6\94
| | 11
| | 6
| | 1.833
| | 76.596
| |
|-
| |
| |
| |
| |
| |
| |5\78
|
| | 9
| | 5
| | 1.800
| | 76.923
| |
|-
| |
| |
| |
| |
| | 4\62
| |
|
| | 7
| | 4
| | 1.750
| | 77.419
| | Semivalentine is around here
|-
| |
| |
| |
| | 3\46
| |
| |
|
| | 5
| | 3
| | 1.667
| | 78.261
| |
|-
| |
| |
| |
| |
| | 5\76
| |
|
| | 8
| | 5
| | 1.600
| | 78.947
| |
|-
| |
| |
| | 2\30
| |
| |
| |
|
| | 3
| | 2
| | 1.500
| | 80.000
| |
|-
| |
| |
| |
| |
| | 5\74
| |
|
| | 7
| | 5
| | 1.400
| | 81.081
| | Bipelog is optimal around here
|-
| |
| |
| |
| | 3\44
| |
| |
|
| | 4
| | 3
| | 1.333
| | 81.818
| |
|-
| |
| |
| |
| |
| | 4\58
| |
|
| | 5
| | 4
| | 1.250
| | 82.759
| |
|-
| |
| |
| |
| |
| |
| |5\72
|
| | 6
| | 5
| | 1.200
| | 83.333
| | Harry is around here
|-
| |
| |
| |
| |
| |
| |
|6\86
| | 7
| | 6
| | 1.167
| | 83.721
| |
|-
| | 1\14
| |
| |
| |
| |
| |
|
| | 1
| | 1
| | 1.000
| | 85.714
| |
|}

Revision as of 20:47, 22 September 2024

↖ 1L 11s ↑ 2L 11s 3L 11s ↗
← 1L 12s 2L 12s 3L 12s →
↙ 1L 13s ↓ 2L 13s 3L 13s ↘
Scale structure
Step pattern LssssssLssssss
ssssssLssssssL
Equave 2/1 (1200.0 ¢)
Period 1\2 (600.0 ¢)
Generator size
Bright 6\14 to 1\2 (514.3 ¢ to 600.0 ¢)
Dark 0\2 to 1\14 (0.0 ¢ to 85.7 ¢)
TAMNAMS information
Related to 2L 8s (jaric)
With tunings 3:1 to 1:0 (hard)
Related MOS scales
Parent 2L 10s
Sister 12L 2s
Daughters 14L 2s, 2L 14s
Neutralized 4L 10s
2-Flought 16L 12s, 2L 26s
Equal tunings
Equalized (L:s = 1:1) 6\14 (514.3 ¢)
Supersoft (L:s = 4:3) 19\44 (518.2 ¢)
Soft (L:s = 3:2) 13\30 (520.0 ¢)
Semisoft (L:s = 5:3) 20\46 (521.7 ¢)
Basic (L:s = 2:1) 7\16 (525.0 ¢)
Semihard (L:s = 5:2) 15\34 (529.4 ¢)
Hard (L:s = 3:1) 8\18 (533.3 ¢)
Superhard (L:s = 4:1) 9\20 (540.0 ¢)
Collapsed (L:s = 1:0) 1\2 (600.0 ¢)
ViewTalkEdit

2L 12s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 12 small steps, with a period of 1 large step and 6 small steps that repeats every 600.0 ¢, or twice every octave. 2L 12s is a grandchild scale of 2L 8s, expanding it by 4 tones. Generators that produce this scale range from 514.3 ¢ to 600 ¢, or from 0 ¢ to 85.7 ¢.

Modes

Modes of 2L 12s
UDP Cyclic
order
Step
pattern
12|0(2) 1 LssssssLssssss
10|2(2) 7 sLssssssLsssss
8|4(2) 6 ssLssssssLssss
6|6(2) 5 sssLssssssLsss
4|8(2) 4 ssssLssssssLss
2|10(2) 3 sssssLssssssLs
0|12(2) 2 ssssssLssssssL

Tuning spectrum

Bipelog range.

Template: Scale tree is deprecated. Please use Template: MOS tuning spectrum instead. Details:
Use of a single Comments parameter has become unmaintainable. Existing scale trees should be migrated to the new template, where comments are entered using a step ratio p/q as a parameter:
{{MOS tuning spectrum
| 3/2 = Example comment
| 4/3 = Another example comment
}}


The parameters tuning and depth have been replaced with Scale Signature and Depth, respectively.


Scale tree and tuning spectrum of 2L 12s
Generator(edo) Cents Step ratio Comments
Bright Dark L:s Hardness
6\14 514.286 85.714 1:1 1.000 Equalized 2L 12s
31\72 516.667 83.333 6:5 1.200
25\58 517.241 82.759 5:4 1.250
44\102 517.647 82.353 9:7 1.286
19\44 518.182 81.818 4:3 1.333 Supersoft 2L 12s
51\118 518.644 81.356 11:8 1.375
32\74 518.919 81.081 7:5 1.400
45\104 519.231 80.769 10:7 1.429
13\30 520.000 80.000 3:2 1.500 Soft 2L 12s
46\106 520.755 79.245 11:7 1.571
33\76 521.053 78.947 8:5 1.600
53\122 521.311 78.689 13:8 1.625
20\46 521.739 78.261 5:3 1.667 Semisoft 2L 12s
47\108 522.222 77.778 12:7 1.714
27\62 522.581 77.419 7:4 1.750
34\78 523.077 76.923 9:5 1.800
7\16 525.000 75.000 2:1 2.000 Basic 2L 12s
Scales with tunings softer than this are proper
29\66 527.273 72.727 9:4 2.250
22\50 528.000 72.000 7:3 2.333
37\84 528.571 71.429 12:5 2.400
15\34 529.412 70.588 5:2 2.500 Semihard 2L 12s
38\86 530.233 69.767 13:5 2.600
23\52 530.769 69.231 8:3 2.667
31\70 531.429 68.571 11:4 2.750
8\18 533.333 66.667 3:1 3.000 Hard 2L 12s
25\56 535.714 64.286 10:3 3.333
17\38 536.842 63.158 7:2 3.500
26\58 537.931 62.069 11:3 3.667
9\20 540.000 60.000 4:1 4.000 Superhard 2L 12s
19\42 542.857 57.143 9:2 4.500
10\22 545.455 54.545 5:1 5.000
11\24 550.000 50.000 6:1 6.000
1\2 600.000 0.000 1:0 → ∞ Collapsed 2L 12s