↑ 1L 2s 2L 2s ↗
1L 3s 2L 3s →
↓ 1L 4s 2L 4s ↘
┌╥┬┬┬┐
│║││││
││││││
└┴┴┴┴┘
Scale structure
Step pattern Lsss
sssL
Equave 2/1 (1200.0 ¢)
Period 2/1 (1200.0 ¢)
Generator size
Bright 3\4 to 1\1 (900.0 ¢ to 1200.0 ¢)
Dark 0\1 to 1\4 (0.0 ¢ to 300.0 ¢)
Related MOS scales
Parent 1L 2s
Sister 3L 1s
Daughters 4L 1s, 1L 4s
Neutralized 2L 2s
2-Flought 5L 3s, 1L 7s
Equal tunings
Equalized (L:s = 1:1) 3\4 (900.0 ¢)
Supersoft (L:s = 4:3) 10\13 (923.1 ¢)
Soft (L:s = 3:2) 7\9 (933.3 ¢)
Semisoft (L:s = 5:3) 11\14 (942.9 ¢)
Basic (L:s = 2:1) 4\5 (960.0 ¢)
Semihard (L:s = 5:2) 9\11 (981.8 ¢)
Hard (L:s = 3:1) 5\6 (1000.0 ¢)
Superhard (L:s = 4:1) 6\7 (1028.6 ¢)
Collapsed (L:s = 1:0) 1\1 (1200.0 ¢)

1L 3s, also called tetric, is a 2/1-equivalent (octave-equivalent) moment of symmetry scale containing 1 large step and 3 small steps, repeating every octave. Generators that produce this scale range from 900 ¢ to 1200 ¢, or from 0 ¢ to 300 ¢.

In South Africa, the San use a tetratonic scale which is approximately basic 1L 3s.

Modes

Scale degrees of the modes of 1L 3s
UDP Cyclic
order
Step
pattern
Scale degree (mosdegree)
0 1 2 3 4
3|0 1 Lsss Perf. Aug. Maj. Perf. Perf.
2|1 4 sLss Perf. Perf. Maj. Perf. Perf.
1|2 3 ssLs Perf. Perf. Min. Perf. Perf.
0|3 2 sssL Perf. Perf. Min. Dim. Perf.

Scale tree

Generator ranges:

  • Chroma-positive generator: 900 cents (3\4) to 1200 cents (1\1)
  • Chroma-negative generator: 0 cents (0\1) to 300 cents (1\4)

{{Scale tree|Comments=10/7:Orson/Orwell;9/5:Godzilla;9/4:Laconic/gorgo;13/5:Unnamed golden tuning (213.5979¢;10/3:Isra/deutone;9/2:[[Porcupine}}