2L 1s

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← 1L 1s 2L 1s 3L 1s →
↙ 1L 2s ↓ 2L 2s 3L 2s ↘ 
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│║║││
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└┴┴┴┘
Scale structure
Step pattern LLs
sLL
Equave 2/1 (1200.0¢)
Period 2/1 (1200.0¢)
Generator size
Bright 1\3 to 1\2 (400.0¢ to 600.0¢)
Dark 1\2 to 2\3 (600.0¢ to 800.0¢)
Related MOS scales
Parent 1L 1s
Sister 1L 2s
Daughters 3L 2s, 2L 3s
Neutralized 1L 2s
2-Flought 5L 1s, 2L 4s
Equal tunings
Equalized (L:s = 1:1) 1\3 (400.0¢)
Supersoft (L:s = 4:3) 4\11 (436.4¢)
Soft (L:s = 3:2) 3\8 (450.0¢)
Semisoft (L:s = 5:3) 5\13 (461.5¢)
Basic (L:s = 2:1) 2\5 (480.0¢)
Semihard (L:s = 5:2) 5\12 (500.0¢)
Hard (L:s = 3:1) 3\7 (514.3¢)
Superhard (L:s = 4:1) 4\9 (533.3¢)
Collapsed (L:s = 1:0) 1\2 (600.0¢)

2L 1s is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 2 large steps and 1 small step, repeating every octave. Generators that produce this scale range from 400¢ to 600¢, or from 600¢ to 800¢. Scales of this form are always proper because there is only one small step.

2L 1s is one of two halves in the tree of strict MOSes, the other being 1L 2s. 2L 1s is the parent MOS of the pentic scale 2L 3s, which is itself the parent of the diatonic and antidiatonic scales, as well as the antipentic scale 3L 2s, which is itself the parent of the oneirotonic and checkertonic scales.

Names

TAMNAMS uses the name trial.

Modes

Scale degrees of the modes of 2L 1s 
UDP Cyclic
order		 Step
pattern		 Scale degree (mosdegree)
0 1 2 3
2|0 1 LLs Perf. Perf. Aug. Perf.
1|1 2 LsL Perf. Perf. Perf. Perf.
0|2 3 sLL Perf. Dim. Perf. Perf.

Intervals

Intervals of 2L 1s
Intervals Steps
subtended 		Range in cents
Generic Specific Abbrev.
0-mosstep Perfect 0-mosstep P0ms 0 0.0¢
1-mosstep Diminished 1-mosstep d1ms s 0.0¢ to 400.0¢
Perfect 1-mosstep P1ms L 400.0¢ to 600.0¢
2-mosstep Perfect 2-mosstep P2ms L + s 600.0¢ to 800.0¢
Augmented 2-mosstep A2ms 2L 800.0¢ to 1200.0¢
3-mosstep Perfect 3-mosstep P3ms 2L + s 1200.0¢

Scale tree

Scale Tree and Tuning Spectrum of 2L 1s
Generator(edo) Cents Step ratio Comments(always proper)
Bright Dark L:s Hardness
1\3 400.000 800.000 1:1 1.000 Equalized 2L 1s
6\17 423.529 776.471 6:5 1.200
5\14 428.571 771.429 5:4 1.250
9\25 432.000 768.000 9:7 1.286
4\11 436.364 763.636 4:3 1.333 Supersoft 2L 1s
11\30 440.000 760.000 11:8 1.375
7\19 442.105 757.895 7:5 1.400
10\27 444.444 755.556 10:7 1.429
3\8 450.000 750.000 3:2 1.500 Soft 2L 1s
11\29 455.172 744.828 11:7 1.571
8\21 457.143 742.857 8:5 1.600
13\34 458.824 741.176 13:8 1.625
5\13 461.538 738.462 5:3 1.667 Semisoft 2L 1s
12\31 464.516 735.484 12:7 1.714
7\18 466.667 733.333 7:4 1.750
9\23 469.565 730.435 9:5 1.800
2\5 480.000 720.000 2:1 2.000 Basic 2L 1s
9\22 490.909 709.091 9:4 2.250
7\17 494.118 705.882 7:3 2.333
12\29 496.552 703.448 12:5 2.400
5\12 500.000 700.000 5:2 2.500 Semihard 2L 1s
13\31 503.226 696.774 13:5 2.600
8\19 505.263 694.737 8:3 2.667
11\26 507.692 692.308 11:4 2.750
3\7 514.286 685.714 3:1 3.000 Hard 2L 1s
10\23 521.739 678.261 10:3 3.333
7\16 525.000 675.000 7:2 3.500
11\25 528.000 672.000 11:3 3.667
4\9 533.333 666.667 4:1 4.000 Superhard 2L 1s
9\20 540.000 660.000 9:2 4.500
5\11 545.455 654.545 5:1 5.000
6\13 553.846 646.154 6:1 6.000
1\2 600.000 600.000 1:0 → ∞ Collapsed 2L 1s

See also

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