3L 2s
Jump to navigation
Jump to search
Brightest mode
LLsLs
Period
2/1
Range for bright generator
3\5 (720¢) to 2\3 (800¢)
Range for dark generator
1\3 (400¢) to 2\5 (480¢)
Parent MOS
2L 1s
Sister MOS
2L 3s
Daughter MOSes
5L 3s, 3L 5s
Equal tunings
Supersoft (L:s = 4:3)
11\18 (733.3¢)
Soft (L:s = 3:2)
8\13 (738.5¢)
Semisoft (L:s = 5:3)
13\21 (742.9¢)
Basic (L:s = 2:1)
5\8 (750¢)
Semihard (L:s = 5:2)
12\19 (757.9¢)
Hard (L:s = 3:1)
7\11 (763.6¢)
Superhard (L:s = 4:1)
9\14 (771.4¢)
| ↖2L 1s | ↑3L 1s | 4L 1s↗ |
| ←2L 2s | 3L 2s | 4L 2s→ |
| ↙2L 3s | ↓3L 3s | 4L 3s↘ |
- For the 3/2-equivalent 3L 2s pattern, see 3L 2s (fifth-equivalent).
3L 2s is an octave-equivalent moment of symmetry scale containing 3 large steps and 2 small steps, repeating every octave. Modes of this scale are rotations of the step pattern LLsLs. Generators that produce this scale range from 720¢ to 800¢, or from 400¢ to 480¢.
The only notable low-harmonic-entropy scale for this MOS pattern is sensi, in which two generators make a 5/3. The harmonic entropy of sensi[5] is still fairly high relative to other pentatonic scales, such as meantone. It's also improper.
Name
The TAMNAMS system applies the name antipentic as the scale utilizes opposite step sizes to the “classic” pentatonic scale (2L 3s). The name antipentic can be used regardless of the equave.
Modes
- 4|0 LLsLs
- 3|1 LsLLs
- 2|2 LsLsL
- 1|3 sLLsL
- 0|4 sLsLL
Scale tree
Generator ranges:
- Chroma-positive generator: 720 cents (3\5) to 800 cents (2\3)
- Chroma-negative generator: 400 cents (1\3) to 480 cents (2\5)
| Generator | Cents | L | s | L/s | Comments | |||||
|---|---|---|---|---|---|---|---|---|---|---|
| 3\5 | 720.000 | 1 | 1 | 1.000 | ||||||
| 17\28 | 728.571 | 6 | 5 | 1.200 | ||||||
| 14\23 | 730.435 | 5 | 4 | 1.250 | ||||||
| 25\41 | 731.707 | 9 | 7 | 1.286 | ||||||
| 11\18 | 733.333 | 4 | 3 | 1.333 | ||||||
| 30\49 | 734.694 | 11 | 8 | 1.375 | Semisept | |||||
| 19\31 | 735.484 | 7 | 5 | 1.400 | ||||||
| 27\44 | 736.364 | 10 | 7 | 1.429 | ||||||
| 8\13 | 738.462 | 3 | 2 | 1.500 | ||||||
| 29\47 | 740.426 | 11 | 7 | 1.571 | ||||||
| 21\34 | 741.176 | 8 | 5 | 1.600 | ||||||
| 34\55 | 741.818 | 13 | 8 | 1.625 | Golden father/petritri/aurora (741.6408¢) | |||||
| 13\21 | 742.857 | 5 | 3 | 1.667 | ||||||
| 31\50 | 744.000 | 12 | 7 | 1.714 | ||||||
| 18\29 | 744.828 | 7 | 4 | 1.750 | ||||||
| 23\37 | 745.946 | 9 | 5 | 1.800 | ||||||
| 5\8 | 750.000 | 2 | 1 | 2.000 | Basic antipentic (Generators smaller than this are proper) | |||||
| 22\35 | 754.286 | 9 | 4 | 2.250 | ||||||
| 17\27 | 755.556 | 7 | 3 | 2.333 | ||||||
| 29\46 | 756.522 | 12 | 5 | 2.400 | Sensi | |||||
| 12\19 | 757.895 | 5 | 2 | 2.500 | ||||||
| 31\49 | 759.184 | 13 | 5 | 2.600 | Golden sentry (759.4078¢) | |||||
| 19\30 | 760.000 | 8 | 3 | 2.667 | ||||||
| 26\41 | 760.976 | 11 | 4 | 2.750 | ||||||
| 7\11 | 763.636 | 3 | 1 | 3.000 | ||||||
| 23\36 | 766.667 | 10 | 3 | 3.333 | ||||||
| 16\25 | 768.000 | 7 | 2 | 3.500 | ||||||
| 25\39 | 769.231 | 11 | 3 | 3.667 | ||||||
| 9\14 | 771.429 | 4 | 1 | 4.000 | ||||||
| 20\31 | 774.194 | 9 | 2 | 4.500 | Squares/skwares | |||||
| 11\17 | 776.471 | 5 | 1 | 5.000 | ||||||
| 13\20 | 780.000 | 6 | 1 | 6.000 | ||||||
| 2\3 | 800.000 | 1 | 0 | → inf | ||||||