# 2L 4s

↖1L 3s | ↑2L 3s | 3L 3s↗ |

←1L 4s | 2L 4s | 3L 4s→ |

↙1L 5s | ↓2L 5s | 3L 5s↘ |

**Equal tunings****2L 4s**, named **malic**, is an octave-equivalent moment of symmetry scale containing 2 large steps and 4 small steps, with a period of 1 large step and 2 small steps that repeats every 600¢, or twice every octave. Modes of this scale are rotations of the step pattern **LssLss**. Generators that produce this scale range from 400¢ to 600¢, or from 0¢ to 200¢.

The only scale with this MOS pattern that's a really significant minimum of harmonic entropy is srutal/pajara, in which the period plus the generator is 3/2. Other scales include shrutar, in which the generator is **half** of that (about a quartertone), so 3/2 is a period plus two generators; and hedgehog, in which two generators make a 6/5, and 4/3 would be three generators (except that it doesn't appear in this MOS).

In addition to the true MOS with pattern LssLss, all these scales also come in a near-MOS version, LsLsss, in which the period is the only generic interval that has more than two specific representatives.

Srutal/pajara probably has the lowest harmonic entropy of all 6-note MOS scales. The near-MOS version has even lower harmonic entropy.

Generator | Cents | Comments | ||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|

0\2 | 0 | |||||||||||

1\24 | 50 | |||||||||||

2\46 | 52.17 | Shrutar is around here | ||||||||||

1\22 | 54.55 | |||||||||||

1\20 | 60 | |||||||||||

1\18 | 66.67 | |||||||||||

1\16 | 75 | |||||||||||

1\14 | 85.71 | |||||||||||

2\26 | 92.31 | Injera is around here | ||||||||||

1\12 | 100 | L/s = 4 | ||||||||||

2\22 | 109.09 | Srutal/Pajara is around here | ||||||||||

600/(2+pi) | ||||||||||||

1\10 | 120 | L/s = 3 | ||||||||||

600/(2+e) | ||||||||||||

3/28 | 128.57 | |||||||||||

600/(3+phi) | ||||||||||||

2/18 | 133.33 | |||||||||||

1\8 | 150 | Boundary of propriety (generators
larger than this are proper) | ||||||||||

600/(2+sqrt(3)) | ||||||||||||

3\22 | 163.64 | Hedgehog and echidna are both around here | ||||||||||

8\58 | 165.52 | |||||||||||

600/(2+phi) | Golden hedgehog/echidna | |||||||||||

13\94 | 165.96 | |||||||||||

5\36 | 166.67 | |||||||||||

600/(2+pi/2) | ||||||||||||

2\14 | 171.43 | Optimum rank range (L/s=3/2) | ||||||||||

1\6 | 200 |