2L 1s
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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
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¢)
| ←1L 1s | 2L 1s | 3L 1s→ |
| ↙1L 2s | ↓2L 2s | 3L 2s↘ |
┌╥╥┬┐ │║║││ │││││ └┴┴┴┘
sLL
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
- 2|0 LLs
- 1|1 LsL
- 0|2 sLL
Scale tree
| 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 | |||||